la Nette rousse Netta rufina
Transcription
la Nette rousse Netta rufina
UNIVERSITE PAUL SABATIER – TOULOUSE III École Doctorale SEVAB Sciences Ecologiques Vétérinaires Agronomiques Bioingénierie THESE DE DOCTORAT Spécialité : Ecologie Présentée par : Pierre DEFOS du RAU Pour obtenir le titre de docteur de l’Université Toulouse III Ecologie, démographie et conservation d’une espèce gibier rare : la Nette rousse Netta rufina Thèse dirigée par : Emmanuelle CAM & Sovan LEK Jury : Régis Céréghino Président du Jury Emmanuelle Cam Directrice de thèse James D. Nichols Rapporteur Juan A. Amat Rapporteur Christophe Barbraud Examinateur Jean-Yves Mondain-Monval Examinateur Laboratoire Evolution et Diversité Biologique (EDB) – UMR 5174 CNRS/ UPS Université Paul Sabatier 31062 Toulouse REMERCIEMENTS (Où l’on relance good vibration) Emmanuelle Cam m’a guidé avec soin et générosité. Elle m’a fait découvrir beaucoup de concepts abstraits, parfois contre-intuitifs et souvent compliqués (exemple : « pour répondre à une question, il faut des données, beaucoup de données, n’oublie jamais ça, petit ! »). Elle aura été particulièrement patiente et attentionnée dans son rôle d’encadrante et aura profondément influencé mon approche du métier de biologiste de la faune sauvage. Jean-Yves Mondain-Monval est à l’origine de nombreuses idées développées, testées ou envisagées dans ce travail qui est donc aussi très largement le sien (à part le coup des canards sarmatiques qu’il m’envie). Il m’a fourni et appris mon métier, y compris dans diverses circonstances à haute pénibilité aux Basses-Méjanes, dans le Delta de l’Ebre ou à table devant une foulque au café arrosée d’un Coto Grindul Lupilor probablement d’une très mauvaise année…je lui dois beaucoup plus que de l’or pour les faux-frais à bord. Christophe Barbraud est aussi à l’origine de beaucoup des idées méthodologiques les plus fouillées de ce travail. Avec une gourmandise roborative pour la modélisation, il m’a fait découvrir la vraie et plutôt sobre vie de la faune sauvage expliquée (gouvernée) par Mark, à moi qui croyais qu’elle vivait en liberté. Juan Amat et Jim Nichols m’ont fait le fastueux honneur de juger ce travail. Ils étaient et sont toujours des modèles inaccessibles. Ils m’évoquent l’un les grandes étendues sauvages et méditerranéennes d’Espagne où bégaie l’Engoulevent à collier roux, l’autre le blues du CCR et les maximum de vraisemblance du CMR d’Amérique où tonitruent Louis Armstrong, Jimmy Rushing et Jim Mc Clure. Sovan Lek m’a accueilli au SEVAB avec enthousiasme et énergie tout en me laissant une grande et agréable liberté et en me faisant une confiance flatteuse qu’il a pu parfois passagèrement regretter Régis Céréghino a accepté d’être président du jury avec une immédiate et sympathique disponibilité Nicolas Sadoul m’a fait faire des découvertes bouleversantes et souvent rigolotes comme la magnétique carte des salins, les laro-limicoles, le chocolat devant les V nations, le douloureux concept de l’imperfection de détection, le jeu télévisuel du fil rouge en milieu laguno-marin et Christophe Thébaud Christophe Thébaud a favorisé et accompagné, à 2 reprises et avec tonicité et enthousiasme, mes premiers pas de doctorant en rendant possible une idée saugrenue qui devait être l’affaire de 2 ans (tout au plus) Jean Leduc m’a fait confiance dans le démarrage semi-professionnel de ce travail Nathalie Hecker, Jean-Laurent Lucchesi, Greg Massez, Nicolas Beck, Cyril Girard, Matthieu Chambouleyron et tous les amis des amis des Marais du Vigueirat pour l’accès privilégié à leur replète base de données et à leurs somptueux marais où foisonnent les nettes rousses et tout plein de biodiversité camarguaise Mes vieux copaings Yves Kayser, Eric Didner, Marc Thibault, Arnaud Béchet, PierreAndré Crochet, Nico Vincent-Martin, Kiko, Laurent Tatin, Olivier Pineau, Nicolas Sadoul, Emmanuel Vialet, Tau Bino et tous les ornithos camarguais pour avoir soigneusement loggé de la toute bonne data malgré l'absence d'objectif, ce qui démontre qu'un objectif n'est pas toujours nécessaire pour faire de la recherche (c'est peut-être le résultat le plus intéressant de cette thèse) Mes co-auteurs roumains, catalans et camarguais: avec eux, tout s’est avéré possibil Les pionniers Camarguais Alan Johnson, Heinz Hafner, Hubert Kowalski et John Walmsley pour avoir marqué les esprits, l'histoire camarguaise et les canards et Heinz pour m'avoir autorisé à en utiliser les données Luc Hoffmann et Jean-Paul Taris, m’ont ouvert, comme à beaucoup d’autres, les portes de la Tour du Valat et donc dans une grande mesure de la Camargue, toutes deux, cadre idéal de formation professionnelle, de birding de classe internationale et de maturation lente de ce travail. Marc Thibault, Olivier Pineau et Jean-Marc Sinnassamy m’ont fait découvrir la gestion des zones humides camarguaises, activité intégrée, participative et surtout compliquée dévolue au créatif (HAI gardian worldbirder serait un plus) et non pas, comme je le croyais, à la gravure de mode pour plaquette du Conseil Général tripotant une martellière ou révélant à une assemblée d’acteurs locaux cynégétiques et médusés l’existence du cadre logique. Sébastien Cayuela, Michel Lepley, Julien Travers et Mickaël Veillé auront été de rudes et autonomes clampins ainsi que d’habiles et zélés récolteurs de données de terrain. Marc Thibault pour les belles photos et les érudites et, hélas depuis trop longtemps, stériles précisions sur la phénologie des phylloscopus en Camargue Maurice Benmergui pour m’avoir généreusement permis de parasiter ses documents photographiques rares et nombreux sur le parasitisme inter-spécifique de la nette L’ONCFS et plus particulièrement, Marie Fuziès, François Lamarque, Jean-Yves Mondain-Monval, Jean Leduc, Gérard Ruven, Jean-Marie Boutin, Pierre Migot et JeanMarc Cugnasse pour avoir soutenu ce travail. François Lamarque et Jean-Yves Mondain-Monval auront perdu temps précieux, patience et crédit à défendre mes droits acquis (que je les soupçonne d’appeler entre eux « mes caprices de diva ») mais ils y auront gagné mon éternelle reconnaissance (les veinards) Manu Ménoni, incarnation alpino-arapaho du wildlifer à la française, aura été le compagnon marquant (à vie) de saucissonnades érudites en refuge et de galopades émerveillées en altitude Serge Planton de Météo France et Olivier Devineau du CEFE m’auront apporté avec beaucoup de patience, de gentillesse et une relative et flatteuse exclusivité, des données cruciales et une expertise précieuse. Comme pour beaucoup, Jacques Blondel aura été un inspirateur et un modèle. Enfin, Jean-Dominique Lebreton aura fait preuve d’une indulgence de bonze tibétain (niveau grand débutant) pour m’aider à passer le délicat obstacle du DEA J’espère avoir détecté toutes les amis, collègues et parents qui m’ont aidé ; pour en être certain, il conviendrait de répliquer mon échantillonnage c’est à dire de faire une 2nde thèse ; les oubliés auront dont l’indulgence de bien vouloir me pardonner et surtout de me contacter d’un ton acerbe Mes parents, parfois légèrement incrédules mais surtout formidablement généreux et attentionnés, m’auront toujours soutenu vers ce métier et ce diplôme d’ornithologue Lydie, Jeanne et Claire ont pris en charge avec bonne et douce grâce toute la partie non-doctorante de l’univers A mes grands-pères explorateurs A mes grands-mères, femmes d’explorateurs Summary CHAPTER 1 - CONSERVATION BIOLOGY AND EXPLOITATION OF A RARE GAME WATERBIRD: THE RED-CRESTED POCHARD p.6 CHAPTER 2 - ESTIMATING BREEDING POPULATION SIZE OF THE RED-CRESTED POCHARD (NETTA RUFINA) IN THE CAMARGUE (SOUTHERN FRANCE) TAKING INTO ACCOUNT DETECTION PROBABILITY: IMPLICATIONS FOR CONSERVATION p.36 CHAPTER 3 - INCORPORATING UNCERTAINTY INTO ANALYSES OF REDCRESTED POCHARD HABITAT SELECTION p.44 CHAPTER 4 - SOME ASPECTS OF RED-CRESTED POCHARD MACROECOLOGY AND HABITAT USE IN EUROPE: IMPACT OF DETECTION ISSUES p.58 CHAPTER 5 - PHYLOGEOGRAPHY OF A GAME SPECIES: THE RED-CRESTED POCHARD (NETTA RUFINA) AND CONSEQUENCES FOR ITS MANAGEMENT p.108 CHAPTER 6 - DEMOGRAPHY AND HARVESTING SUSTAINABILITY OF A RARE GAME WATERBIRD: THE RED-CRESTED POCHARD IN EUROPE AND THE CAMARGUE (FRANCE) p.120 French summary p.167 Chapter 1 CONSERVATION BIOLOGY AND EXPLOITATION OF A RARE GAME WATERBIRD: THE RED-CRESTED POCHARD The Red-crested Pochard (Netta rufina), is a monotypic Palearctic duck species (Cramp & Simmons, 1977) of Sarmatic origin (Voous, 1960). It breeds mostly between latitudes 35° and 55° North, in continental, temperate and Mediterranean climatic regions, from the British Isles to China (Scott & Rose, 1996). It is a moderate-distance migrant, wintering mainly between latitudes 30° and 50° North (Figure 1). Mayaud (1966), Schneider-Jacoby and Vasic (1989), and Tamisier (1991) have reviewed the history and biogeography of the species in Europe. The central and western Asian population, which concentrates most of the world population of the species, does not show any clear trend in variation in numbers and is thus assumed to be stable (Delany & Scott 2006). The Black Sea and Eastern Mediterranean population is thought to be declining since the 1980’s (Paspaleva et al., 1984; Krivenko, 1994; Scott & Rose, 1996; Delany & Scott 2006). Among European game waterbirds, the Red-crested Pochard (RCP) is probably one of the less abundant species and certainly the rarest breeding game waterbird in southern Europe. Numbers are now considered to be increasing in Europe (Delany & Scott 2006), after the species has been qualified as having an unfavourable conservation status in Europe (Tucker & Heath 1994). This concern was based upon the fact that Red-crested Pochard populations were thought to be declining in several European countries, especially in Eastern Europe, which previously held some of the largest populations (Krivenko 1994, Scott & Rose 1996). The Red-crested Pochard is listed on Annex II/2 of the EU Birds Directive as a species for which hunting is permitted only in France, Portugal and Spain. The annual hunting bag in the European Union was roughly estimated at 8000 birds by Shedden in 1986, 700 of which in France and the rest in Spain. Because of exploitation, the species unclear conservation status and the overall small population size in Europe compared to other game species of ducks, it was important to assess potential needs in conservation and management actions. The combined issues of conservation and exploitation of this species obviously raised various data-demanding questions. It was necessary to evaluate both (i) the current knowledge available on the species conservation biology and (ii) the information still lacking to develop a preliminary conservation and management strategy, at least at the French level. Information available The information already available on the species was scanned through published literature ; we made a tentatively exhaustive survey of the most significant papers published in Western Europe before 2001 on the species. We identified the main scientific topics of the 87 papers found (Appendix): they roughly fall into four general categories : behaviour, demography, ecology and distribution and related topics (Figure 1). There were several studies of two RCP specific behaviours : • Migration and wintering pattern in Western Europe included an Autumn northerly migration, contrary to general pattern in birds (Szijj 1975, Lucientes 1978, Amat et al. 1987). • Relatively high inter- and intra-specific brood parasitism frequency (Hellebrekers & Voous 1964, Amat 1985, Amat 1991). As a rare waterbird species, RCP breeding distribution generated a strong interest in Europe, where breeding remains very localized outside Spain (Figure 2 after Scott & Rose 1996, see also Berndt 1997, Snow & Perrins 1998). We included atlases, monographs and conservation reviews in the category of distribution-related papers, hence the quite large number of articles found. ecology demography behaviour distributionconservation 0 10 20 30 40 50 Figure 1 : number of articles published in European journals on corresponding topic on RCP before 2001 Both RCP ecology and demography were the least studied topics. • Among the 14 papers on demography, 4 focused on reproductive processes and the remaining 9 dealt only with regional or local patterns, i.e. trends in numbers over space and/or time. There was a complete lack of data on survival, as well as on most components of recruitment processes. Only one paper by Lebreton & Rochette (1965) marginally dealt with harvest level of RCP in one wetland area in Eastern France. Some ringing schemes included RCP (Hückler 1966, Johnson 1975, Schlenker 1979) but were not used to estimate survival nor dispersal rates. • Among the 10 papers on ecology, most dealt with feeding ecology or diet and only 1 (Broyer & Daléry 2000) quantitatively focused on other factors of breeding habitat. More data on breeding habitat characterisation were thus needed because it is a crucial step (Batt et al. 1992, Elmberg et al. 2005 for a recent European example) in understanding drivers of reproductive success, hence demographic processes. Furthermore, in a conservation-oriented context, identifying limiting factors in breeding habitat is a prerequisite to setting up an efficient habitat management strategy. • Lastly, there was no information at all on RCP population genetics and structure. Figure 2 : RCP population limits as proposed by Scott & Rose 1996 Information lacking Information to collect or update on the species concerned mainly habitat ecology, genetics and demography. Research efforts were then fitted to conservation and management objectives accordingly. (i) Identifying limiting factors in breeding habitat, (ii) identifying Western Europe population structure and management unit(s), (iii) and evaluating hunting impact and sustainability were assessed as the 3 priority research actions to be undertaken to establish a preliminary basis for RCP conservation and management plan. The first two of these priorities were in general accordance with Long et al. (2007), who recently stressed the importance of population size, range size and wetland losses as main drivers of Anseriformes conservation status and declines. Identifying limiting factors in breeding habitat and evaluating hunting impact and sustainability required various types of bird count data. Understanding habitat use patterns requires comparison of bird occurrence or abundance in time or, in our case, space between habitat patches or local populations for example (Block & Brennan 1993). Calibrating models of exploited population dynamics also requires counts to compute population growth or harvest rates. Quantifying RCP occurrence and abundance was thus a pre-requisite of the next steps of this work. However this preliminary census question is not a trivial one, as emphasized by Pollock et al. (2002), MacKenzie et al. (2006), McLoughlin & Messier (2004) and Barry & Elith (2006). The first chapter of the present work was thus dedicated to the census question (Defos du Rau et al. 2003) before considering the three identified research priorities, namely: • identifying limiting factors in breeding habitat at both local and continental scales: chapter 2 (Defos du Rau et al. 2005) and 3, • identifying Western Europe population structure and management unit(s) : chapter 4 (Gay et al. 2004), • evaluating hunting impact and sustainability : chapter 5. Here we review most of the methodological options chosen to addresse the above questions and their limitations. We then provide a summary of the results obtained to these questions and, in a third step, we assess research and monitoring recommendations for RCP conservation and sustainable management. MAIN METHODOLOGIES USED IN THE NEXT CHAPTERS AND THEIR LIMITATIONS Most methodological tools used in this work to estimate demographic parameters, presence and abundance of RCP belong to the corpus of Capture-Mark-Recapture models (Williams et al. 2002). These models rely on some general assumptions: - representativeness - absence of mark loss - independence of fates and identity of rates among individuals within cohorts - instantaneous and discrete sampling occasions Except for the last assumption for our dead-recovery model, we had no particular reason to believe that any of these assumptions was not met in our study or, at worse, less so than in other similar studies. We performed Goodness-Of-Fit tests whenever available for the models used. Where necessary, we discuss these general assumptions and some more design-specific ones under each CMR design used in this work Double observer (chapter 1 & 2) This method (Nichols et al. 2000) was used to assess false-absence of RCP broods in the sampled wetlands in the Camargue in year 2001. We assumed that results from this study were representative of the overall species-specific detection probability for RCP brood as a species. Three assumptions are required for this method - independance of detection performance among observers - equality of detection performance among observer roles - control of effect of distance on detection probability Considering that we sampled only wildfowl broods (5 species) and avian duck-predator (4 species) as members of a relatively poor community, during sampling sessions observers did not write down observations during point-counts but only after point-count so as not to give cues to the primary observer and not to weaken performance of secondary observer. This way, we increased adequation of our design to the first two assumptions. This was only possible because of the relatively low number of species and individuals to memorize during pointcounts. The third assumption was also taken into consideration because our point-counts only concerned large birds over water areas, i.e. areas that were delimited in space and relatively small, averaging 10.3 ha (SD = 16.2). Resulting detection probability estimate was very high (0.9259 by sampling occasion; SE = 0.1033), which indicates in practice a zero-risk of false-absence (0.04%) in the Camargue. In contrast another CMR method employed, patch occupancy analysis, estimated a false-absence probability of 3.5% over our European sample including Ebro, Camargue and Danube deltas. Deciding whether these results are consistent is complicated by issues of differences in sampling areas and detectability estimation methods. Double-observer method only estimates detection probability given availability to detection (Farnsworth et al. 2005); it therefore provides detection rate estimate that may not be directly comparable to other CMR-based estimates. It was furthermore likely that very large water areas to be sampled in the Danube Delta combined with low accessibility of the sampled sites increased mean risk of falseabsence for the European dataset compared to the Camargue dataset alone. Robust design (chapter 1, 2 & 3) This method (Kendall et al. 1997) was used to estimate brood-specific detection probability in the sampled wetlands in the Camargue in year 2001. This individual detection probability was then used to estimate brood abundance in the Camargue, as such, and as a double sampling design (Pollock et al. 2002) to predict brood abundance in the two other European deltas. Two assumptions are required for this method in addition to the general ones : - sampled population is closed between secondary occasions within each primary occasion - capture probability variation can be accounted for by a combination of time, behaviour or individual heterogeneity To ensure closure of the “populations” of broods within each primary period, time intervals between secondary occasions were kept below a maximum 45 minutes, which made risk of brood migration highly unlikely. We assessed the need for accounting for time, behaviour and individual heterogeneity in capture probability using program CAPTURE (Rexstad and Burnham 1991). These results were then taken into account to estimate brood abundance using Robust-design models. As a non-invasive CMR application, no behavioural effect were to be expected on capture probability but time and individual effects were worth checking. Constant capture (detection) probability was the model that received the largest support. We were not interested in questions about individual variation in of capture probability per se, but this source of variation had to be taken into account to estimate brood abundance using the Robust Design In addition, model selection provided evidence of time-independence of brood capture probability. The assumption of absence of mark loss was a concern because another phenomenon may have had an effect equivalent to tag loss in our non-invasive design. RCP broods were individually recognized by the quasi-unique combination of their observed size, estimated age and location. However there was a non-zero risk of having two broods of the same size and age on the same wetland (or assessed as having the same size and age by observers): this would have be equivalent to an undetected loss of individual mark. Difficulties in individual identification (“marking”) of the different broods may have resulted in underestimation of the brood abundance estimate. This would have happened if two broods from the same lake could not be reliably separated on the basis of their age and size. Broods hatching date and size approximately followed normal distributions (Kolmogorov-Smirnov d= 0.084 and 0.118, both non significant). Consequently, difference in hatching date and size of two different broods also followed normal distributions of known mean and variance. If p1 is the probability for two broods of having the same age within 2 weeks, p2 the probability for two broods of having the same size within 2 pulli; then the probability p for two broods of having the same age and size on the same lake is: p1=0.397 p2=0.274 p= p1 * p2 n2 p<0.0001 for n=33 Thus, mistaking one brood for one another was a particularly unlikely event, and we believe that we did not underestimate brood abundance.. Patch occupancy analysis (chapter 3) This method (MacKenzie et al. 2002) was used to estimate wetland-specific occupancy rate in the wetlands sampled in the three European deltas in 2001. Occupancy rate was then modelled as functions of habitat covariates to understand brood-rearing habitat preference in RCP. Two assumptions are required for this method in addition to the general ones : - sampled sites are closed to change in occupancy - no false presence To achieve minimum risk of falsely recorded presence, the field survey was performed by a small number of expert field ornithologists : 1 in Danube Delta, 1 in Ebro Delta and 2 in Camargue who co-checked observations and skills in a double-observer design. Closure of sites was of stronger concern because some other studies have shown that duck broods are mobile and can change wetland during rearing period (e.g. Pöysä & Paasivaara 2006). We furthermore showed that temporary emigration was high for RCP broods in the Camargue (Defos du Rau et al. 2003). However, patch occupancy analysis, as developed by MacKenzie et al. (2002), is robust to violation of the closure assumption, provided that movement of individuals under study is random and that occupancy can be reinterpreted as use (MacKenzie et al. 2006). Brood-rearing habitat use was indeed our primary interest in habitat analyses. This possible occupancy closure violation nevertheless probably remained marginal in our European dataset because of the following reasons - it did not concern those wetlands used by a number of broods, where occupancy is probably permanent despite the fact that some individual broods emigrate - it did not concern larger or isolated wetlands, emigration from which was unlikely because impracticable for duck broods - it only concerned small wetlands with small numbers of broods whose movement was more likely to correspond to temporary stays in riverine vegetation of the original pool than an actual change of pool (Defos du Rau et al. 2003). We validated conclusions of this patch occupancy analysis and ensure their representativeness using an different data set (test set) of randomly sampled occupancy data. Multistate (chapter 5) This model (Williams et al. 2002) was used to estimate RCP brood and duckling survival in the wetlands surveyed in the Camargue in years 1990, 1991, 2000 and 2001. We modelled the probability for a brood of size n+1 to make a transition to size n (loss of one chick), as well as brood size-specific survival probability (where death is the loss of the last chick). These probabilities were then modelled as function of reproductive traits covariates (e.g., laying date) to understand brood and duckling survival processes in RCP. These estimates were ultimately used to model fecundity in a matrix population projection model of RCP. Two assumptions underly the method we chose (no memory model) in addition to the general ones : - homogeneity of survival probability in individuals within each state - Markovian state transition probability We tried to account for as many sources of heterogeneity among individual in survival and transition probability by using several covariates and their quadratic effects, that proved pertinent in the model selection process. Assumption of Markovian process governing state transition was assumed fulfilled as this transition corresponded to a one-chick loss. Only broods of size n+1 can undergo a one-chick loss transition to size n. However, broods of size n+2 could loose one single chicks twice, with probability of the 2nd chick lost being influenced by the probability of the 1st chick lost. Such process would probably not qualify as markovian. The reverse transition of gaining one chick was impossible and thus the probability of the corresponding event was set at zero. Dead recoveries (chapter 5) This model (Williams et al. 2002) was used to estimate RCP age-specific annual survival rates in the Camargue from 1952 to 1978. Survival probability was then modelled as functions of individual and time covariates to address sources of variation in annual survival in RCP. Estimates were ultimately used to model survival in a matrix population projection model of RCP. Two assumptions are required for this method in addition to the general ones : - correct determination of age - absence of banding effect on survival Band loss was a concern here, but not in the above CMR sampling designs because they were non-invasive and did not require to capture and tag the individuals. Metal-banding of RCP probably suffered from the same band loss rates (as well as the same detrimental effect of metal leg band on survival) than in other similar studies (e.g. Pradel et al. 1997 on teals Anas crecca banded under the exact same design as RCP) There was no particular reason to suspect above average non-randomness of trapping or errors in age determination as the whole field protocol was performed on the long-term by the same team of expert field-ornithologists. The assumption of instantaneous and discrete sampling occasions was a major concern in this dead-recoveries dataset because capture and recovery sampling were almost continuous along the whole year. Because of the small sample size (41 recoveries among 269 captures), subsampling only data points (capture and recoveries) from a restricted number of sampling occasions conforming to a discrete sampling scheme was not an option. Instead, for each recovered bird we calculated the difference in month between the month of the realized recovery and the month of the initial capture, at the year’s scale. We defined discrete theoretical recovery occasion for each bird as occuring on the same month as the initial capture occasion, but of course following the corresponding integer number of years. The value assigned to each recovered bird corresponds to the difference in months at the year’s scale between the theoretical recovery and the actual realized recovery. We assumed that this time-increment individual covariate adjusted for the numerous discrepancies between capture and recovery occasions in our dataset. The corollary was that this time-increment individual covariate was expected to have a negative effect on survival, which we checked for using the dead-recovery models of RCP annual survival with the largest support according to AICc (Anderson et al. 2001). A major general limitation in the CMR models listed above was small sample size because of the general rarity of the species in Europe. Deciding when to stop collecting data from rare (and sometimes more common) species depends on a trade-off to achieve between survey costs and efficiency, including reliability of data-based inference (see Franco et al. 2007 for a preliminary discussion on this vast topic). The risk is either (i) to base conservation and management actions on fragile, tentative or not fully corroborated conclusions; this is less costly but leads to higher probability of costly failure of the actions taken or (ii) to delay conservation and management actions until sufficient data have been collected, which may often prove economically and politically costly but lead to lower risk of costly failure. We atttempted to achieve the best costefficiency trade-off in the present study of RCP by relying on the following course of action - we aimed in priority at identifying further research needs with increased precision in order to increase the amount of information available on RCP (lack of information is one of the current major issues for defining conservation and management recommendations for RCP) - we aimed at specifying low-cost or low-risk conservation and management recommendations which would be likely to have positive outcomes in terms of indigenous biodiversity (Koper & Schmiegelow 2006) In addition, some of our objectives required use of other methodologies relying on specific assumptions, such as genetics (chapter 4) and meteorology (chapter 5). Estimate of gene flow between RCP population The traditional FST estimation of inter-population gene flow relied on the island model assumptions requiring equal population sizes and symmetric migration rates (Rousset 2001). This assumption was most probably not met in RCP. To achieve inferences on gene flow, a combination of several other methods including a coalescence based maximum-likelihood method, an analysis of ringing recoveries and a morphometric analysis provided a body of complementary results. Meteorological-based predictions Several of the data sets from RCP we used were collected in the past, whereas one of our objectives was to assess the current state of RCP sub-populations and their viability in the future under alternative management and conservation scenarii. To do so, we used meteorological data and results of meteorological models. We addressed the influence of climatic variables on several demographic parameters using currently available data from RCP and used the resulting relationships to project population size as functions of climatic variables available for other periods of time. Models of functional links between meteorological factors and demographic rates relied on the strong, risky assumption that an observed correlation allows for a causal/functional interpretation of the involved process. To maximise reliability of our inferences in this context, we paid a strong attention to the following steps (Krebs & Berteaux 2006) : - we avoided large-scale inferences and only used local datasets to draw inferences at the local scale - we based our long-term prediction on the best possible meteorological predicted dataset generated by the French state meteorological agency (Météo-France) under moderate climate warming ARPEGE scenario - we made only 3 simple a priori functional hypotheses based on already inferred patterns to assess demographic-meteorological links: - RCP annual survival is positively linked to mean winter temperature (Blums et al. 2002) - RCP breeding performance is positively linked to high water levels hence high precipitation during preceding winter (Defos du Rau et al. 2005) - RCP breeding performance is positively linked to abundance of aquatic macrophytes of temporary wetlands and thus to low precipitation during spring of the previous year (Defos du Rau et al. 2005) - we only tested these 3 hypotheses to minimise risk of type-I errors - these 3 hypotheses proved immediately conclusive so we had no reason to further carry on hypothesis-testing. Finally we increased robustness of our inferences through use of external, independent test datasets and correction for detection imperfection Test of estimation models with independent data sets Robustness of the main conclusions was increased by use of external test datasets: We addressed the different issues in this work using a sequential approach. For each issue, we first used the empirical data available to estimate relevant parameters (e.g. demographic parameters, abundance, presence of the species). We addressed the relationship between environmental or habitat variables and the parameters in question (e.g., climatic variables and brood survival, habitat variables and abundance, etc.). We then used the results from this step to model population dynamics, or local abundance, and, where possible, used independent data sets to check consistency with the predicted population features. - Camargue habitat-occupancy model was validated by an independent random sample of sites (chapter 2) - European habitat-occupancy model was validated by an independent random sample of sites (chapter 3) - population phylogenetic structure was corroborated by a morphometric dataset (chapter 4) - demographic matrix models were validated by two external census datasets (chapter 5) Imperfect detection of RCP broods A central feature in this work was the rejection of the a priori assumption of constant, perfect detection probability of RCP broods. As in the vast majority of ecological studies, we used measures of occupancy and abundance of RCP broods and addressed their variation in space and time. However, contrary to many studies, we did not rely on the assumption that our detection performance was satisfactory and constant. Hence, although this work relies on several assumptions, we did not rely on one major assumption which is overlooked in most of other studies, despite the serious repercussions if it is not met (Nichols et al. 2000, MacKenzie et al. 2002, Pollock et al. 2002). In this context of imperfect detection, we followed the recommendation by Kéry (2004) and used Capture-Mark-Recapture methodology. SUMMARY OF THE CONCLUSIONS REACHED IN THIS WORK The main results obtained concerning the following three topics are reviewed here - census of RCP breeding population - identification of limiting factors in breeding habitat at both local and continental scales - evaluation of hunting impact and sustainability in the Western European management unit(s), as defined by the preliminary genetic study Census of RCP breeding population (chapter 1) According to Dehorter & Rocamora (1999) and Krivenko (1994), RCP breeding populations in both the Camargue and the Danube Delta are thought to be declining Camargue breeding population As a result of cryptic behaviour of broods, RCP breeding population in the Camargue was found to be largely under-estimated when it was censused without adjustment for detectability. However, detectability-unadjusted survey results were those taken into account to draw conservation status and recommendations at national level (Dehorter & Rocamora 1999). When based upon detectability-adjusted census data, conclusions drawn on RCP conservation status proved less alarming. Hence, in a resource-limited context, conservation investment of all kind on RCP could be decreased to the benefit of other more threatened species. Danube delta breeding population RCP is believed to have first bred in the Danube Delta around 1955 (Linţia 1955). Although there might be substantial uncertainty on this date, it is possible to assume that Danube Delta population have grown at the same rate as the Camargue population, i.e. λ=1.06. With such a growth rate, the projected RCP population size in Danube Delta would be 46 birds in 2001. In fact, it is most certainly much higher. Indeed it was estimated at a minimum of 400 breeding pairs in the same period by Kiss (comm. pers.) and it would be almost at 700 breeding pairs as calculated according to the habitat area-expansion of the detectability-adjusted density calculated with our dataset (analysed in chapter 3). Therefore, contrary to what would then appears to be unfounded statement (Krivenko 1994, Scott & Rose 1996), it is possible that Danube Delta breeding population of RCP is not declining. It might even be increasing following appearance of the species as a breeding bird in the middle of the 20th Century. Long-term representative field census, including aerial surveys are required to assess the demographic and conservation status of the Danube Delta RCP population. Conservation perspective on the necessary use of detection probabilities It is furthermore likely that not only RCP, but also several (if not most) waterbird species are imperfectly detected by observers during sampling sessions. Therefore, conclusions drawn on conservation status, trends and recommendations for these species probably suffer from uncertainty and biases due to unadjustement of their census to detection imperfection. A costeffective solution would be to develop double-sampling design protocoles (Pollock et al. 2002) on threatened waterbird species (see Green 1996 and Long et al. 2007 for reviews) that are monitored under various schemes including the International Waterbird Census coordinated by Wetlands International (Delany & Scott 2006). Objectives of such double-sampling design would be to : - gain insights into detectability variations in time and space of these threatened species - increase precision and understanding of waterbird population estimates and trends by reducing uncertainty in current time-series models - identify those threatened waterbird species with low detectability, and thus the potential for substantial underestimation of population size . Such species might qualify to a less threatened status, thus raise reduced conservation concern and deserve reduced conservation investment compared to more threatened species - alternatively, identify those threatened waterbird species with high detectability and thus satisfactory population size estimation that should indeed be a target of conservation concern and investment. Identification of limiting factors in breeding habitat : habitat management for conservation (chapter 2 and 3) A number of habitat factors proved to influence on RCP brood occurrence and abundance at both Camargue and European scales. These habitat analyses provided scope for management recommendation of RCP breeding habitat. However, the range of identified factors and thus of potential management recommendations differed whether detection imperfection was taken into account, or not. Consequence of adjusting species-habitat models for detection imperfection Table 1 compares our recommendations for RCP breeding habitat management and those recommendations that could have been made without having adjusted for detection imperfection. Camargue adjusted occupancy unadjusted occupancy Water favour constant high favour constant high favour high water no conclusion on this management water level in spring water level in spring level in spring aspect Water management adjusted abundance unadjusted abundance avoid regular artificial avoid regular artificial avoid regular artificial no conclusion on this flooding in summer habitat flooding in summer maintain large management habitat flooding in summer aspect no conclusion on this no conclusion on this reedbeds maintain large reedbeds aspect aspect avoid wetland avoid wetland avoid wetland no conclusion on this reclamation/dyking reclamation/dyking aspect fragmentation reclamation/dyking Europe adjusted occupancy unadjusted occupancy adjusted abundance unadjusted abundance Water avoid constant water avoid constant water avoid constant water no conclusion on this level all year long level all year long management Water management habitat level all year long aspect avoid regular artificial no conclusion on this avoid regular artificialavoid regular artificial flooding in summer aspect flooding in summer avoid wetland dyking avoid wetland dyking avoid wetland dyking management and enbankment and enbankment habitat avoid habitat no conclusion on this management reclamation aspect avoid ecosystem no conclusion on this avoid ecosystem simplication aspect simplification competition and enbankment flooding in summer avoid wetland fragmentation reduce swan impact Table 1 : Main breeding site management recommendations raised from habitat analyses performed in this work ; discrepancies between detection-adjusted and –unadjusted inferences are highlighted Major habitat features of management concern for RCP would not have been identified without taking detection uncertainty of RCP broods into account. For instance, the question « is there breeding habitat loss ? » has crucial implications for the RCP breeding populations of Camargue and Ebro deltas as well as for the associated wetland biodiversity. This question received a negative answer when detection imperfection was not accounted for but a positive one when accounting for detection issues. Without accounting for detection, it might for instance have been concluded that there was no habitat conservation problem but that some swan removing would be useful to maintain or increase RCP breeding abundance. These kind of erroneous conclusions based on usual species-habitat modelling methods would have three main direct consequences - absence of the desired deterministic effect of the corresponding management action on RCP abundance - useless management and evaluation costs - delay or difficulties, possibly aggravating/detrimental, in identification of factors with a genuine influence on presence and abundance of RCP It can be feared that some of the habitat management recommendations produced for the numerous cryptic species whose ecology has been studied on the basis of detectionunadjusted species-habitat models are ineffective. Management recommendations for RCP breeding habitat From table 1, management actions that we recommended for conservation of the RCP breeding habitat can be summarized in four points (i) to ban natural habitat destruction or reclamation : destruction or transformation of pools, lakes, marshes or reedbeds and any other wetland vegetation type would contribute to simplify and fragment the ecosystem and thus reduce the waterbird community richness and decrease RCP occupancy or abundance (ii) to ban embankment and dykes in wetland shaping and management, as it also contributes to wetland fragmentation and artificial simplification of ecosystem (Aznar et al. 2003) (iii) to favour some natural hydrological functioning including avoidance of artificial flooding in summer and artificial drying off in spring (iv) to evaluate management decision (or to model it through an objective function) using not only RCP occurrence and abundance but also waterbird species richness as system state criteria in order to ensure that the implemented management actions are not detrimental to other taxa in the ecosystem under management (Koper & Schmiegelow 2006). Furthemore, we showed that waterbird species richness is positively linked with RCP occupancy and abundance. Measuring this variable as a system state is thus consistent with evaluation of management actions for both RCP and wetland biodiversity. Overall these recommendations call for an increased consideration of natural processes and functioning of Mediterranean wetland ecosystems in their management : preservation of natural habitat and management of water levels in accordance with natural hydrological processes including stochastic ones would be the best possible conservation strategy for RCP. Such a strategy would involve a succession of bad and good hydrological years as it is the case in naturally evolving and functioning Mediterranean and Central Asian wetlands and lagoons, depending on stochastic flooding by precipitation, sea storm and rise in river level. We suggest that RCP is adapted to such high level of environmental stochasticity in reproductive performance, more precisely in the proportion of breeding birds (breeding incidence) according to fluctuating flooding conditions. Such a flooding-driven breeding propensity is a common pattern in ducks (Johnson et al. 1992), including in close phylogenetic relative (Anderson et al. 2001, Arnold et al. 2002) as well as biogeographical relative (Almaraz & Amat 2004) of RCP. Modelling hypothetical population dynamics under fully natural conditions To assess the assumption of population viability of RCP under strong flooding fluctuation, we used matrix models developed in Chapter 5 with the following adjustments - no hunting harvest - natural adult annual survival set at So= 0.753 as estimated by Devineau et al. (in prep.) - fecundity under rainfall stochasticity as in chapter 5 except that : - random adult breeding propensity set at 1 in good years with probability 0.1, 0.5 in average years with probability 0.72 and 0.2 in bad years of flooding with probability 0.18 - initial population size set at 3 females simulating founding effect We ran the model 1000 times for 20 time steps. Under such severe regime of stochasticity but in the absence of hunting, the matrix population model led to a surprisingly low extinction probability of only 13.4% considering the very small founding population size of 3 females. The mean stochastic growth rate was slightly above 1 (1.01; SE= 0.0014). Therefore a small founding or nomadic population of RCP seems to have a reasonable probability of settling and become viable under highly fluctuating hydrological conditions naturally prevailing in the Mediterranean or Central Asia. This result deserves further research under exploitation regime (Beddington & May 1977). Exploited population dynamics of Mediterranean and Central Asian ducks may appear quite different from the generally well studied exploited population dynamics of boreal ducks. These questions are approached in chapter 5 and the conclusions reached are summarized below. Preliminary approach to RCP population limits and dynamics under exploitation (chapter 4 and 5) Understanding population limits and structure allowed us to use corresponding census data to model the targeted population dynamics. A preliminary approached to RCP population dynamics reveals some original aspects that may be explained by the species ecology Understanding RCP population limits and structure In order to understand and model European population dynamics of RCP, it was first necessary to gain insight into the population limits and size. In fact, sizes and corresponding ranges of the different RCP populations were first hypothesized through analyses conducted by the Waterbird International Census coordinated by Wetlands International (Delany & Scott 2006). In the framework of this international monitoring, RCP global range had been splitted into 3 population units (Figure 2 after Scott & Rose 1996) based on winter abundance patterns, as initially proposed by Monval & Pirot (1989). However, their analyses provided only hypothetical basis to these intraspecific population limits; in particular no genetic studies had validated the proposed population structure. This was partially done in the genetic study presented in chapter 4, which confirmed that the Central European and Western Mediterranean population forms a single management unit (Gay et al. 2004). The phylogenetic position of the Eastern European population of RCP remains to be investigated. Modelling RCP population dynamics The next step was then to address the dynamics of this Central European and Western Mediterranean population through demographic modelling. This was done using a matrix population model (chapter 5) which provided satisfactory consistency between observed census data and expected population abundance. In addition, the following conclusions were reached. • There is evidence that density-dependent harvest compensation operates at the reproductive level, which is not new but very rarely addressed in ducks. Its effects are nevertheless probably marginal at the current harvest levels. • Current European harvest rate appears to be sustainable and would be increasingly so in the context of some predicted climate change scenarii. Indeed, a hunting ban between 1 and 10 February would probably increase the population growth rate only marginally. • However, the above results should be considered cautiously because there is substantial lack of precision in the estimates of most important demographic parameters identified through parameter uncertainty analysis (Hunter et al. 2000) : survival rate, fledging success, survival rate in the absence of hunting and harvest level. Proper estimation of these parameters is the main priority. Designing a conservation-oriented monitoring program allowing estimation of population vital rates would be a good opportunity to develop a semi-experimental international integrated monitoring as advocated by Elmberg et al. (2006) and as implemented with success in North America under the label of Adaptive Management (Nichols et al. 1995). In addition, we provided preliminary estimation of some vital rates of RCP for the first time. These vital rates may be the key to a somewhat original demographic strategy of the species that might be hypothesized to be linked to the species particular ecology among a Central Asian and Mediterranean « Sarmatic » waterfowl guild (Voous, 1960). Hypothetical links between RCP ecology and demography Along RCP, four other species can be considered to belong to the Sarmatic guild of Eurasian wildfowl: Ruddy Shelduck Tadorna ferruginea, Ferruginous duck Aythya nyroca, Marbled Teal Marmaronetta angustirostris and White-headed Duck Oxyura leucocephala. Gadwall Anas strepera and Pochard Aythya ferina can be considered as having an intermediate position between this guild and the well-studied and outnumbering guild of boreal wildfowl. Overall, like RCP, all four of these Sarmatic species show - A patchy distribution in Europe and around the Mediterranean, but species are more widespread in Central Asia where they might originate from (Scott & Rose 1996, Gay et al. 2004, Muñoz-Fuentes et al. 2005) - an ecological relationship with continental and Mediterranean lagoons ecosystems - generally unfavourable conservation status (Green 1996, UICN 2006) We suggest that this Sarmatic wildfowl guild might show some further demographic and ecological similarities, including: - high reproductive performance (Green 1998a and Green et al. 1999 for Marbled Teal) including high juvenile survival (Almaraz & Amat 2004, Defos du Rau et al. in prep) - substantial breeding habitat plasticity (Boutin 1984 for RCP, Green 1998b for Marbled Teal and Ferruginous Duck) - relatively low apparent/local adult survival. From an evolutionary view point, these peculiarities might be all part of a nomadic strategy in which these ecological and demographic advantages would trade-off with drawbacks of irregular reproductive occurrence following fluctuations of breeding habitat factors and notably flooding conditions. Again, we stress the fact that these are hypotheses, some of them being also formulated by Keller (2000a); they remain to be fully addressed, but our results on RCP are consistent with them. These hypotheses call for stronger international cooperation between research programs on these 5 Sarmatic species. CONCLUDING APPROACH TO THE RESEARCH AND MONITORING NEEDS FOR RCP CONSERVATION AND SUSTAINABLE EXPLOITATION We identified three priority areas for future research and monitoring : genetic, integrated international monitoring including vital rate estimation, experimental identification of habitat requirements. Experimental validation of habitat requirements Preliminary conclusions on breeding habitat requirements of RCP, notably concerning water management could be experimentally assessed by comparing RCP occupancy and abundance on a paired sample of wetlands. Each pair should include (i) one wetland with traditional current water management with summer flooding and spring drying off and (ii) one wetland with natural water management simulating flooding only when main river or sea level rise significantly above average. Most of Western European rivers are nowadays embanked and would not allow such naturally occurring event. Therefore, an experimental design is required. Such design might benefit to the understanding of the ecology of some other flagship species. Genetics Genetic characterisation of the Eastern European putative population is a priority in order to understand whether it belongs to one of either Central Asian or Western European population. Romania and Turkey are two countries where RCP distribution and abundance is sufficiently known to facilitate efficient sampling of genetic material. Evidence for existence versus absence of dispersal between both Eastern and Western population would have important implications on the species conservation and exploitation management in Western Europe. In this respect, additional sampling at the major wintering site of Prespa Lake on the AlbanianGreek-Macedonian border (Scott & Rose 1996) would be very interesting as it would allow to further investigate the hypothetical bird movement between Eastern and Western population. Research on this site would benefit from both genetic and satellite tracking surveys. Integrated monitoring of population dynamic Integrated long-term monitoring of European RCP populations is a high priority in order to decrease uncertainty in population dynamics understanding and management decisionmaking, and ensure harvest sustainability. Such monitoring scheme would largely benefit from waterfowl Adaptive Management designs developed in North America (Nichols et al. 1995) and the recently proposed unified wildlife population modelling framework (Thomas et al. 2005). Features to incorporate in a European integrated monitoring of RCP and other game ducks would include (Elmberg et al. 2006) : - winter aerial surveys in Eastern Europe, especially over Black and Caspian seas and the major river deltas - harvest surveys in France, Portugal, Romania and Spain (Mondain-Monval et al. 2006) - demographic vital rate estimation through nasal-saddle marking (Guillemain et al. 2007) and telemetry CMR schemes in Western Europe. The vital rates to be estimated would be survival rates under various experimental levels of harvest, hatching and fledging success and breeding incidence and propensity. Following recent publication of RCP population trends (Delany & Scott 2006), we believe that RCP is not of critical conservation concern and that some alarming statements about its former conservation status have had the potential to locally raise unnecessary efforts for its conservation. Much of this discrepancy between real and advocated conservation needs potentially came from the lack of consideration of detection imperfection in census data. However, we also believe that, as a rare game duck, RCP deserves to be carefully monitored and that its exploitation for hunting is more complicated and risky than for most, if not all, other duck species. Therefore, sustainability of its exploitation requires highest level of warranty on our understanding and predictive ability on the species population dynamics. Sustainability of RCP exploitation requires to decrease uncertainty to an unparalleled level in South European game birds. 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Der Ornithologische Beobachter 90 67-74 Chapter 2 Animal Conservation (2003) 6, 379–385 © 2003 The Zoological Society of London DOI:10.1017/S1367943003003457 Printed in the United Kingdom Estimating breeding population size of the red-crested pochard (Netta rufina) in the Camargue (southern France) taking into account detection probability: implications for conservation Pierre Defos du Rau1, Christophe Barbraud2,3 and Jean-Yves Mondain-Monval1 1 Office National de la Chasse et de la Faune Sauvage, CNERA-Avifaune Migratrice, Le Sambuc, 13200 Arles, France Station Biologique de la Tour du Valat, Le Sambuc, 13200 Arles, France 3 Centre d’Etudes Biologiques de Chizé, UPR 1934 CNRS, 79360 Villiers-en-Bois, France 2 (Received 17 October 2002; accepted 21 May 2003) Abstract The red-crested pochard (Netta rufina), a Eurasian diving duck, has seen its numbers declining and has received strong conservation concern. Data on population size and rate of decline are required to establish management plans, none of which is available for this species. Here we present the first population size estimate taking into account detection probability and habitat use in the Camargue, southern France. A non-random sample of 33 lakes was used to estimate detection probability from point-counts. Detectability was low, with only 57.5% of individual broods detected. A random sample of 37 lakes was then used to estimate brood densities. Adjusted densities (taking into account detection probability) were 0.1106 broods per ha of reedbed. Adjusted densities were extrapolated to the entire surface area of reedbeds in the Camargue estimated from a GIS to obtain abundance estimates of the brood population. A minimum estimate of 559 breeding pairs was obtained (95% confidence interval: 436–855). This estimate is much higher than previous ones (80–100 pairs for the Camargue, 250 pairs for France), and indicates strong underestimation of the population size when not taking into account detectability. Our results suggest that the red-crested pochard may require a reassessment of its conservation status for France and Europe. They further suggest that taking detection probability into account in population estimates of other cryptic species, and notably those of conservation concern, may help clarify their conservation status and may even affect the setting of conservation priorities. INTRODUCTION Estimates of population size from animal surveys are a crucial tool for setting conservation priorities (Karanth & Nichols, 1998; Kéry, 2002; Thompson, 2002). However, few studies have taken into account the detection probability (or detectability) of their target species, i.e., the probability of missing an individual given it is present in the sampling area, in estimating its abundance (Rosenstock et al., 2002). Not taking into account the proportion of individuals missed during surveys may lead to serious biases in estimates of abundance (Nichols et al., 2000), and therefore to misleading conservation status and priorities. The red-crested pochard (Netta rufina) is a migratory diving duck that breeds in central Asia, around the Black Sea, and in western Europe. The species is classified as ‘Declining’ in Europe by Krivenko (1994), and is therefore of strong conservation concern, although it is hunted in All correspondence to: Pierre Defos du Rau, ONCFS, Délégation Régionale, 10bis route d’Ax, 31120 Portet/Garonne, France. Tel: 335 62 20 75 55; Fax: 335 62 20 75 56; E-mail: [email protected]. France, Portugal, Romania and Spain. Consequently, the European Commission required a management plan for this species (Defos du Rau, 2002). In particular, this management plan stressed the need to update estimates of breeding population size in Europe. In the Camargue, southern France, the latest breeding population size estimates of 80–100 breeding pairs (Rimbert, 1990; Gaillardin, 1991) are still in use in the French Red List of threatened birds, which classifies the red-crested pochard as ‘Endangered’ on the basis of a French population size estimated at less than 250 breeding pairs and considered to be strongly declining since the 1970s (Dehorter & Rocamora, 1999). Here, we investigate two different aspects of red-crested pochard broods detectability using two recently developed methods: the double-observer approach (Nichols et al., 2000), and a capture–recapture method based on the Pollock’s robust-design approach (Kendall et al., 1997). These detection probabilities are then used to estimate the breeding population size, based on previous findings on habitat requirements of the red-crested pochard in the Camargue. 380 P. DEFOS DU RAU ET AL. METHODS Study site and species Red-crested pochards breeding in France are concentrated on three wetlands along the Rhône river (Boutin, 1994; Dehorter & Rocamora, 1999). The southernmost of these strongholds is situated in the Rhône delta, named the Camargue, a vast wetland area of 145,000 ha. Natural habitats account for 58,000 ha and mainly consist of freshwater and brackish marshes, including reedbeds and temporary flooded salt meadows. These natural areas are split into 230 protected or hunted estates. The red-crested pochard has an extensive breeding season: eggs are laid from late March until early July. The species’ breeding habitat has been recently described by P. Defos du Rau, C. Barbraud & J.-Y. Mondain-Monval (unpubl. data), who confirmed that, in the Camargue, surface area of reedbeds of Phragmites australis is the main factor positively governing the species’ reproduction (see also Llorente & Ruiz, 1985; Schneider-Jacoby & Vasic, 1989; Heiser, 1992; Snow & Perrins, 1998). As in many other duck species, the red-crested pochard is rather cryptic in its breeding behaviour and habits, and broods mostly come out on open water in the late afternoon and the evening. Estimating detectability parameters Two aspects of detectability were investigated. The probability of false absence, i.e., the probability of not detecting any pair of the species on a site given it is actually raising ducklings, was used to estimate the probability of missing the presence of one or more redcrested pochard broods during the survey conducted to estimate the brood population size. The other detectability parameter that was estimated was the probability of missing one individually identified brood given it is present on a site. This second detectability parameter was used to correct the observed brood densities and to obtain unbiased abundance estimates. The red-crested pochard is one of the least abundant breeding waterbirds in the Camargue. Pairs are not widespread homogeneously, but are mainly concentrated in the vast freshwater marshes in the eastern and northwestern parts of the Camargue. Studying detection of the species’ broods required performing a specific detection survey in zones of concentrated use. A nonrandom sample of lakes was therefore necessary to assess detectability parameters using most densely occupied sites, since a random sample would have been inadequate to estimate detectability of such a rare and cryptic breeding bird. The species is known or suspected to breed regularly and densely in 27 estates (P. Defos du Rau, pers. obs.) when breeding habitat is available, i.e., when flooding and water management conditions are favourable. In such estates, disturbance level is generally kept very low on purpose during the breeding season of the waterfowl. Out of these 27 estates, only 11 were both access-permitted and flooded in 2001. Nine of these 11 estates were chosen for their easy access and the availability of lakes within them. Lakes of these nine estates constituted the non-random sample, with a total of 33 lakes used to estimate the detectability of broods. From 1 June 2001 to 15 August 2001 one point-count was conducted at exactly the same location every 2 weeks (making a total of five point-counts) between 1700 pm and 2100 pm on each lake of this nonrandom sample. Point-count localizations were chosen to maximize visibility of open water, and on larger lakes an additional point-count was performed on the same five occasions as the first one but on a different location so as to cover a remaining part of the lake. Lake area averaged 10.3 ha (SD = 16.2). For all lakes, it was never possible to survey 100% of open water. Bird counts were only undertaken under favourable weather conditions, i.e., when dry, and not or only moderately windy. Estimating probability of false absence The probability of false absence of a species can be estimated using the equation: probability of false absence = α = (1–ps)N where N is the number of visits to the site, and ps is the probability of detecting the species presence (Kéry, 2002). The double-observer approach (Nichols et al., 2000) was used to estimate ps and the risk of false absence through estimates of species-specific brood detection probabilities. Two observers surveyed lakes from the non-random sample. At each pointcount, a designated ‘primary’ observer indicated to the other (‘secondary’) observer all broods detected. The secondary observer recorded all detections of the primary observer as well as any brood not detected by the primary observer. Observers alternated primary and secondary roles for a total of 33 point-counts. Computation of detection probability was made with program DOBSERV (Hines, 2000). Estimating individual brood detectability The robust-design approach (Pollock, 1982; Kendall, Nichols & Hines, 1997) was used to compute individual brood detection probability and adjusted densities of broods. Because of the rarity of red-crested pochard as a breeding species in the Camargue, the occurrence of two or more broods of exact same age and size in the same lake was considered highly unlikely. Each observed brood was therefore identified (or ‘marked’) by the combination of its age and size, taking into account that brood size might decrease when getting older. The five successive pointcounts performed on each lake of the non-random sample were split into three sub-counts of 15 minutes each, thus constituting three secondary sessions within five successive primary sessions, according to the terminology used in Kendall et al. (1997). Within each site’s primary session, successive secondary sessions were conducted 20–40 minutes apart from each other. On each of these 15 occasions, successive presence (1) or absence (0) of identified broods was noted. This capture–recapture design provides estimates of local survival (S), temporary emigration (g′′) and 1- temporary immigration (g′, i.e., the Red-crested pochard detection and abundance probability that an individual absent during primary session i is absent during primary session i+1) probabilities, as well as capture (p) and recapture (c) probabilities which can be considered here as detection probabilities, since observations of known broods can be viewed as recapture events. Detection probability computed from robust-design thus corresponded to the probability of detecting an individual brood given it is present in the study area. Analyses were conducted with program MARK (White & Burnham, 1999). Following Lebreton et al. (1992) and Burnham & Anderson (1998), we used the Akaïke Information Criterion with a correction factor for sample size (AICc) to select the most parsimonious model. The model with the lowest AICc is the one to be selected. As a rule of thumb, two models with a difference in their AICc < 2 were considered as statistically indistinguishable (Lebreton et al., 1992). We initiated model selection with a fully parameterized model without a priori hypothesis on any parameters of the model. Estimating adjusted densities To estimate the breeding population size, a random sample of lakes, assumed to be representative of the whole Camargue, was used as a basis for inference on densities at the Camargue scale, and extrapolation of a population size. Twenty estates were randomly selected within the 80 largest of the total 230 estates of the Camargue, and two lakes were randomly selected in 17 out of these 20 estates. There was only one lake in the remaining three estates so the total number of lakes of this random sample was 37. Sampling among the 150 smaller estates would have required obtaining more access permits to reach a sample of 37 lakes. A large majority of the total 230 estates are actually contiguous within a few remnant patches of natural landscape, and some fragmentation effect decreasing red-crested pochard densities in the smaller estates was therefore considered unlikely. On each of these 37 lakes, three monthly visits were conducted in May, June and July during daytime, following traditional design of field surveys for breeding ducks (e.g,. Amat, 1984; Lillie & Evrard, 1994; Green, 1998; Pöysä et al., 2000; Pöysä, 2001). Lake shorelines were visited throughout their length in order to maximize detection of broods. Broods were intensively searched for through telescopes on the visible water surface and, where possible, within surrounding vegetation fringes. On each lake where brood presence was noted, observed peak number of broods (n) was recorded and was then adjusted for incomplete detection of individual broods, using the relation: n Nˆ = pˆ where N̂ is the estimated adjusted abundance, n is the observed peak number among the three monthly visits, and p̂ is the individual detection probability estimated from the robust design (Barker & Sauer, 1992). Adjusted brood counts were then expressed as densities of broods per hectare of reedbeds, since previous work in 381 the Camargue (P. Defos du Rau, C. Barbraud & J.-Y. Mondain-Monval, unpubl. data) has shown that redcrested pochard breeding occurrence is highly dependent upon reedbed area. Density computation over a single habitat type like reedbed permitted stronger inference on abundance over the whole area because of better homogeneity of brood density in reedbeds (owing to causal ecological link) than in any other wetland habitat. On the basis of estimated density in reedbeds and of the total reedbed area for the Camargue calculated from a GIS, an estimate of the brood population size could be calculated. For both the non-random and the random sample, surface areas of Phragmites australis surrounding each lake and forming islets within each lake were located in the field and on aerial photographs, and calculated by GIS (Didger, 2000). Since a unified GIS is not currently available for the entire Camargue area, we used data sets of habitat-specific areas from three geographically distinct GIS provided by the Parc Naturel Régional de Camargue, the Réserve Nationale de Camargue, the Observatoire des Zones Humides et des Habitats de Camargue Gardoise, and the Tour du Valat Biological Station. For two out of the three GIS data sets, reedbed surface areas were available, but for the last GIS data set, only the global area including reedbed and water surface was available. For this particular area, brood densities were expressed in number of broods per hectare of reedbed and water and not in number of broods per hectare of reedbed only. In this case, densities were extrapolated on the basis of the total area of reedbed plus water surface. This discrepancy between GIS use was not considered to bias densities extrapolation severely because water and reedbed surface are positively correlated, and thus red-crested pochard breeding occurrence is linked to both water and reedbed area. Hence, estimating brood densities over water plus reedbed area was assumed to be as meaningful biologically as densities over reedbed area singly. RESULTS Detectability parameters Risk of false absence The probability of detecting the presence of any brood on a lake given it is present was 0.9259 (SE = 0.1033). With three visits, the probability of a false absence in the data set was α = 0.0004. The presence of any brood was therefore highly unlikely to be undetected with three successive visits. In other words, three visits only were necessary to decrease the risk of false absence below 0.1%. Computation of population densities on sampling sites can therefore be considered with confidence regarding absence assessment. Detection probability of individual broods Starting with the general model where all parameters were time-dependent, we did not detect significant timedependence in survival, temporary emigration and g′ 382 P. DEFOS DU RAU ET AL. Table 1. Modelling survival, temporary emigration and immigration and capture and recapture probabilities of red-crested pochard broods AICc ∆AICc Model S(.) g′′(.) g′(.) p(T,.)=c(T,.) S(.) g′′(.) g′(.) p(.,.)=c(.,.) S(.) g′′(.) g′(.) p(T,t)=c(T,t) S(.) g′′(.) g′(.) p(T,t) c(T,t) S(T) g′′(.) g′(.) p(T,t) c(T,t) S(T) g′′(T) g′(.) p(T,t) c(T,t) S(T) g′′(T) g′(T) p(T,t) c(T,t) 130.983 132.755 137.685 169.151 169.361 170.509 177.247 0.00 1.77 6.70 38.17 38.38 39.53 46.26 w 0.691 0.285 0.024 <0.001 <0.001 <0.001 <0.001 np Deviance 10 8 19 29 31 32 33 107.435 114.505 85.346 70.686 58.971 53.709 53.709 Modelling started from the fully parameterised model {S(T) g′′(T) g′(T) p(T,t) c(T,t), where (T), (t) and (.) respectively indicate primary session-dependent, time-dependent and constant parameters. For each model, we give AICc, ∆AICc, AICcWeight (w), number of estimated parameters (np), and deviance. AICcWeights were estimated following Anderson et al. (2000). (Table 1). A model where capture and recapture probabilities were set equal but time-dependent was preferred to a model where capture and recapture probabilities differed (∆AICc = 31.466). The two lowest AICc models included either constant or primary session-dependent capture–recapture rates (Table 1). Parameter estimates from the lowest AICc models are shown in Table 2. Because our main interest was to obtain an estimate of p with reduced bias and increased precision, we used a model-averaged estimator of p following Anderson, Burnham & Thompson (2000). A model-averaging procedure was run over the two best models to produce an estimate of p with its associated unconditional standard error. The estimate was p̂ = 0.5746 (unconditional SE = 0.0978), and its 95% confidence interval was 0.3815 – 0.7473. Thus, the probability of detecting one individually identified brood on a lake given it is present was on average 0.5746. This individual detection probability is then used to adjust abundances. Density and population size estimates A total of 42 broods was observed in the non-random sample, and a total of 14 broods was observed in the random sample. Total reedbed areas for the non-random and random samples were 232 ha and 217 ha, respectively. Observed densities were 0.181 and 0.065 broods per hectare of reedbed, respectively, and 0.012 broods per hectare of reedbed plus water. Table 2. Estimates of survival (S), temporary emigration (g′′), g′, and capture probabilities (p) of red-crested pochard broods Parameter Estimate SE S g” g′ p session 1 p session 2 p session 3 p session 4 p session 5 0.598 0.734 … 0.588 0.662 0.391 0.708 0.475 0.084 0.100 … 0.111 0.105 0.081 0.102 0.197 Lower 95% CI Upper 95% CI 0.429 0.504 … 0.368 0.439 0.248 0.480 0.161 0.747 0.883 … 0.778 0.831 0.556 0.865 0.810 Estimates are from model S(.) g′′(.) g′(.) p(T,.)=c(T,.). Ellipses indicate that g′ was not estimable, so SE and lower and upper 95% CI could not be adequately estimated. Taking into account detectability of individual broods, an adjusted total of 42/0.5746 = 73 broods was estimated to be present in the non-random sample, and an adjusted total of 14/0.5746 = 24 broods was estimated to be present in the random sample. Adjusted densities were thus of 0.3147 and 0.1106 broods per hectare of reedbed, respectively, and 0.0206 broods per hectare of reedbed plus water. Adjusted density within the random sample was 0.1106 broods per hectare of reedbed with a 95% confidence interval of [0.0863–0.1691], and 0.0206 broods per hectare of reedbed and water [0.0161–0.0315]. Total reedbed area for both GIS providing details for the reedbed habitat only was 4502 ha and total reedbed plus water area for the one GIS providing details for this particular habitat association was 2964 ha. Total estimated abundance for red-crested pochard broods in the Camargue was thus 559 broods with a 95% confidence interval of [436 – 855]. DISCUSSION Population size Our estimates of abundance of red-crested pochard broods in the Camargue are much higher than previous estimates of the breeding population in the Camargue and in France, 80–100 and 190–250 pairs, respectively (Boutin, 1994; Dehorter & Rocamora, 1999). Results from our study indicate that the detection probability used to estimate abundance of broods was low, since the probability of detecting individual broods was only 57%. Not taking into account detectability in estimating abundance of breeding red-crested pochards would thus result in major underestimation. In addition, the robust design approach allowed us to estimate temporary emigration, which was high. The probability that a brood present during one primary session was absent during the next primary session was 73%. For example, this suggests that if 20 broods are counted during a first session nearly 15 of these broods will be absent and not observed during the second session. Furthermore, if ten broods are observed during the second session, nearly half will be new broods undetected during the first session. Thus, not taking into account temporary emigration from one session to another (as is usually done in ‘traditional’ surveys) may lead to serious underestimation of abundance in this species. The low detection probability and the high temporary emigration probability are probably a consequence of the preferred habitat used for breeding, i.e. extensive reedbeds of Phragmites australis with freshwater (P. Defos du Rau, C. Barbraud & J.-Y. Mondain-Monval, unpubl. data). The high temporary emigration found in this study may be explained by families’ behaviour, being either in areas of open water or hidden within the surrounding reedbeds from one primary session to another. For all the above reasons, we believe that previous surveys strongly underestimated the number of breeding pairs of red-crested pochard in the Camargue, and Red-crested pochard detection and abundance probably in France and Europe. In addition, and as opposed to previous studies, our extrapolation of adjusted densities used three geographic information systems covering the entire Camargue area, and was based on precise knowledge of habitat use by broods of red-crested pochard issued from a companion study (P. Defos du Rau, C. Barbraud & J.-Y. Mondain-Monval, unpubl. data). Previous estimates based upon fieldwork by Rimbert (1990) and Gaillardin (1991) only took into account observed broods and paired adults to sum up an estimated breeding population size. Furthermore, as shown by these authors, the brood-rearing season can last from April until August; since our observations started in May and ended in July, some early and late broods may have remained undetected by our study design, suggesting that our estimate of the number of broods is a minimum. Use of a non-random sample within areas of concentrated use was necessary to attempt maximizing precision in estimating detection probability and risk of false absence. Use of a random sample was, of course, necessary to calculate a brood density that would be representative of the breeding distribution and density of the species in the Camargue. Overall, within this random sample, 1407 ha of wetland habitats were surveyed for an estimated adjusted abundance of 24 broods. Another approach would have been to survey the species randomly in areas of reedbeds as a mean to increase sample size of detected broods, but access permission to a sufficient number of sampling sites would have been too difficult to obtain from landowners. Bias Lack of homogeneity of the three GIS may have biased our extrapolation. Both GIS for the central and western part of the Camargue have been validated in the field, and only 15% of the data set for the eastern part has not been validated, but was only gathered on satellite images. The eastern part of the Camargue is the smallest of all parts, accounting for 19.4% of the wetland habitats and 13.4% of the reedbed area of the whole Camargue. Thus, the uncertainty on the reedbed surface area estimation through GIS concerns about 2% of the total surface area, and is therefore likely to have a negligible impact on our extrapolation of adjusted densities. Indeed, total reedbed area for the whole Camargue was calculated for 1984 to be 5296 ha (Tamisier, 1990), which constitutes a result very comparable to more up-to-date reedbed area estimates used in the present study. Our estimates of adjusted densities may be biased if model assumptions were not fulfilled. We believe that the two main assumptions of the double-observer approach (independency in detection probabilities, equality in detection distances, Nichols et al., 2000) were fulfilled. A third important assumption (all broods have the same probability of being detected) was verified since when we ran program CAPTURE (Burnham & Overton, 1978; Rexstad & Burnham, 1991) the model selection criteria pointed towards model Mo as the most appropriate model for four out of the five primary sessions, thereby 383 suggesting no heterogeneity in capture rates between individuals. In addition to the assumptions for the Cormack–Jolly–Seber model, the assumptions of analysis under the robust design are (1) within each primary session, the population is closed, (2) survival is equal for animals that are in and out of the study area during any primary session. In our study design, we believe that the time intervals between the secondary sessions were small enough to prevent mortality or permanent emigration from occurring during primary sessions. Because nestlings of broods that temporarily emigrated from the study area (i.e. the open water in each sampled lake) could not fly (once they could fly they probably left the lake and thus were considered as dead or having permanently emigrated), they were probably in reedbeds adjacent to the open water during corresponding point-counts, but mortality risks were assumed not to differ between broods within a primary session Conservation implications Our estimate of the number of broods produced annually in the Camargue stands as a minimum estimate of the total breeding population size, since this estimate does not include the breeding pairs that failed to hatch their eggs and remained undetected in our study design. Hatching success is highly variable from year to year and between localities in ducks, and there is no reliable estimate of hatching success for red-crested pochards in the Camargue. However, our estimate of the brood population size, combined with a relatively high hatching success of 80–90% as found in some species of the closely related Aythya genus (Del Hoyo, Elliot & Sargatal, 1992), would suggest a breeding population size of some 600–700 pairs in the Camargue. Difficulties in detecting the species explain this revaluation of the population size estimate much more probably than a real increase, although such a rise in the breeding numbers cannot be discarded with certainty. In fact, the red-crested pochard population from the western Mediterranean and central Europe is considered by Wetlands International (2002) to be increasing. Local declines in wintering numbers, as in the Camargue or in northern Spain in the past decades, would actually be due to a major switch in wintering areas from southwestern to central Europe (Keller, 2000). Moreover, the only two published breeding population censuses for the Camargue (Blondel & Isenmann, 1981; Boutin, 1994), which were used to argue for a national decline, were not based on comparable field methods and produced only unadjusted estimates. We thus believe that the minimum breeding population size of red-crested pochards in the Camargue is close to 600 pairs and shows no clear sign of a decline. Based on a ‘strong decline’ statement and on the previous national overall estimates thought to be below 250 breeding pairs, the species was classified as ‘Endangered’ in the French Red List of threatened birds (Dehorter & Rocamora, 1999). We think such rating may be overpessimistic, but we do not deny that the French population of red-crested pochard may still be threatened, at least by habitat loss 384 P. DEFOS DU RAU ET AL. and degradation that still occurs in the Camargue (Tamisier & Grillas, 1994; Mathevet & Tamisier, 2002), and remains therefore vulnerable. Moreover, the impact of hunting on the breeding population size remains unknown at present. However, following EU Directive 79/409/EEC on the conservation of wild birds, and for the first time since it first bred in the Camargue in 1894 (Mayaud, 1966), the red-crested pochard will not be hunted in February. In fact, the largest part of the annual red-crested pochard harvest seems to be achieved in February, accounting, in available data, for 23% of the annual harvest (ONCFS, unpubl. data). Therefore we strongly recommend using this change in hunting legislation as an experimental design of adaptive management to evaluate the effect of this reduced harvest at such a critical time in the species’ biological cycle on the Camargue breeding population size. Similar surveys taking into account detection probability need to be undertaken regularly in the future in order to detect trends in this population. Ideally, such surveys should be complemented with some estimates of hatching success. At a larger spatial scale, such surveys should also be undertaken in the major breeding sites of the red-crested pochard in France, but also in Europe. Indeed, we are not aware of any red-crested pochard population size estimate in other European breeding sites that took into account detection probability, thereby suggesting that the present world breeding population size is probably underestimated. If our results are confirmed (i.e., low detection probability), the red-crested pochard may require a reassessment of its conservation status for France and Europe. More generally, adjusting animal abundances with detectability is a growing concern in population biology and conservation (Buckland, Goudie & Borchers, 2000). Design-based ecological studies (e.g., studies of habitat use) and conservation-orientated surveys, like the present one, are both likely to benefit from these developing methodologies. In particular, it is likely that some more or less cryptic species considered as threatened may have been classified as such on the basis of unadjusted population size estimates, and that taking into account their detectability in future field surveys will lead to a reevaluation of their conservation status. Such reevaluation should not decrease attention upon these species, but might rather help to reorient conservation priorities. Acknowledgements We thank all the landowners, Les Marais du Vigueirat and Domaines Listel who allowed us to use their estates as study sites. We are most grateful to Claire Lagaye and Olivier Navarro from the Syndicat Mixte pour la Protection et la Gestion de la Camargue Gardoise, Gaël Hemery from the Parc Naturel Régional de Camargue and Loïc Willm from the Tour du Valat Biological Station for providing up-to-date GIS data. 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Chapter 3 BIOLOGICAL CONSERVATION Biological Conservation 125 (2005) 355–367 www.elsevier.com/locate/biocon Incorporating uncertainty into analyses of red-crested pochard habitat selection Pierre Defos du Rau a a,* , Christophe Barbraud b,c , Jean-Yves Mondain-Monval a Office National de la Chasse et de la Faune Sauvage, CNERA-Avifaune Migratrice, Le Sambuc 13200 Arles, France b Station Biologique de la Tour du Valat, Le Sambuc 13200 Arles, France c Centre dEtudes Biologiques de Chizé UPR 1934 CNRS, 79360 Villiers en Bois, France Received 6 October 2004 Available online 31 May 2005 Abstract Studies describing habitat use in animal species need to take into account detectability of individuals in order to reach more robust conclusions. However, the importance of detectability in habitat selection analyses of rare and cryptic species has received little investigation, although robust methods for estimating detectability have been made recently available. Understanding habitat requirements should be an important management tool for the conservation of the red-crested pochard (Netta rufina), a rare duck species in France and Europe. Three different lake samples (82 lakes in total) were conjointly used in 2000 and 2001 to assess the species habitat requirements, using its presence, density and hatching dates as response variables. Risk of false absence was estimated using the double-observer approach at less than 0.001. A robust-design approach produced estimates of individual brood detectability (0.545, SE = 0.053). Observed red-crested pochard densities were adjusted to time dependent detectabilities, and modelled as a function of habitat variables. Habitat fragmentation and low permanent water levels negatively affected brood densities. Interestingly, these variables were not retained when modelling the unadjusted densities. This analysis showed that investigating temporal variation in brood detectability was a crucial prerequisite in the study of this rare species habitat requirements. More generally, it strongly suggests that integrating detection probability and its variations in habitat use analyses of cryptic species of conservation concern may be an essential methodological step to reach more valid conclusions on habitat management. 2005 Elsevier Ltd. All rights reserved. Keywords: Detection probability; Habitat selection; Survey methods; Management recommendations; Netta rufina 1. Introduction Precise identification of habitat requirements for rare or endangered species is often a crucial prerequisite for developing sound conservation strategies. Numerous studies of habitat use in birds have produced a great deal of protection measures and management recommendations, notably for ducks and other related game species * Corresponding author. Present address: Office National de la Chasse et de la Faune Sauvage, Délégation Régionale, 10bis route dAx, 31120 Portet/Garonne, France. E-mail address: [email protected] (P. Defos du Rau). 0006-3207/$ - see front matter 2005 Elsevier Ltd. All rights reserved. doi:10.1016/j.biocon.2005.04.006 (e.g., Kaminski and Weller, 1992; Green and El Hamzaoui, 2000). However, these design based field studies are dependent upon population size estimation and thus upon assumptions on detection. Few of these studies have tested for the detection probability in estimating abundance of their target species (e.g., Åberg et al., 2000), or have accounted for the detectability of the target species when comparing its presence or abundance over time or space (Thompson, 2002; Gu and Swihart, 2003; Freeman et al., 2003). Nichols et al. (2000) have recently documented significant variations in detection probabilities and then in numbers estimates among species and observers in point count studies. They highlight 356 P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 the need to measure detection probabilities when comparing population sizes over space or time. They proposed the double-observer approach to model detection probabilities, and suggested that capture probability estimated in capture-recapture models could be used as a measure of detectability. Here we investigate two different aspects of the detectability of the broods of a rare breeding bird, the red-crested pochard, using two methods: the double-observer approach (Nichols et al., 2000) and the Pollocks robust-design approach (Kendall et al., 1997). The detection probabilities obtained from both approaches are then used to obtain unbiased estimates of brood population size and to identify key variables determining brood habitat use and choice. The red-crested pochard (RCP) is a migratory diving duck that breeds in Central Asia, around the Black Sea and in Western Europe. The species is listed in appendix III of the Berne Convention, in appendix II of the Bonn Convention, in appendix II/2 of the ‘‘Birds’’ Directive 79/409 of the E.E.C and in Annex II of the African-Eurasian Waterbird Agreement. Although it represents a strong conservation concern, the species is hunted in France, Portugal, Romania and Spain. A management plan produced at the request of the European Union Commission (Defos du Rau, 2002) stresses the need to identify regional or local factors affecting breeding habitat choice. Based on previous studies on RCP, we made the following predictions about factors affecting brood habitat selection at the local and landscape scales. We expect an increase in density or occupancy probability: (1) as habitat fragmentation decreases (Stephens et al., 2003), that is when the number of reclaimed or degraded lakes remains minimal within wetland complexes (Weller, 1988), (2) as abundance of both preferred nest site helophytes and food macrophytes increases, because breeding RCP is often associated with both reedbeds and extensive macrophytes beds (Snow and Perrins, 1998), (3) as variation of water levels decreases and water depth increases, then decreasing the risk of drying up, which is high in Mediterranean wetlands (Kaminski and Weller, 1992), (4) as predator and inter-specific competitor densities decrease, or, conversely (5) as subsequently attracted predator density increases. Although few studies have succeeded in demonstrating an impact of intra- or inter-specific competition on brood spacing and space use (DuBowy, 1991; Anderson and Titman, 1992), both competition and predation are strongly suspected to influence habitat use by broods (Kaminski and Weller, 1992). 2. Methods 2.1. Study species The RCP is a rare breeding duck species in France, with an estimated 190–250 breeding pairs concentrated on three wetland areas along the Rhône River (Boutin, 1994; Dehorter and Rocamora, 1999). The southernmost of these strongholds is situated in the Rhône River delta, the Camargue, on the Mediterranean. The breeding season is prolonged: egg laying occurs from late March until early July. The species breeding habitat remains poorly documented in France (Broyer and Daléry, 2000), although it has been reported to change drastically in the last 30 years in the Camargue from saltmarshes and saltworks to fresh marshes and lakes covered with reedbeds. Increasing brood predation by yellow-legged gull (Larus michahellis) has been suspected to cause this habitat switch (Boutin, 1994). As with many other duck species, RCP is rather cryptic in its breeding behaviour and habits, and broods mostly come out of the vegetation fringe on open water in late afternoon and in the evening. RCP parasites other ducks broods (Amat, 1991) but this behaviour remains rare in the Camargue and is thus supposed to have only marginaly biased brood counts. 2.2. Study site The Camargue is a vast wetland area of 145,000 ha. Natural habitats (freshwater and brackish marshes, including reedbeds and temporary flooded salt meadows) account for approximately 58,000 ha split between protected and hunting estates, for a total of 230 estates. The number of RCP was estimated at 80–100 pairs for the whole Camargue (Boutin, 1994). The species is known or suspected to regularly breed in 27 estates when breeding habitat is available, i.e. when flooding and water management conditions are adequate. In both protected and hunting estates, disturbance level is generally kept low on purpose during the waterfowl breeding season. 2.3. Sampling Only 9 of these 27 regularly occupied estates were easily accessible, flooded in 2000 and 2001, and ones for which we received permission to conduct surveys. Lakes of these 9 estates constituted consecutive samples of 34 lakes in 2000 and 40 lakes in 2001. Within these annual samples, we compared lakes occupied versus not occupied by RCP broods in both years. Because they were situated within 9 flooded estates amongst the 27 favoured ones, unused lakes were then available as well as accessible to the species (Jones, 2001). P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 For habitat model validation purpose, a further 20 estates were randomly selected within the 80 largest of the total 230 estates of the Camargue, and 2 lakes were again randomly selected in 17 of these 20 estates. There was only 1 lake in the remaining 3 estates, so the number of lakes of this random sample was 37. 2.4. Bird surveys Following recommendations by Drapeau et al. (1999), 6 consecutive point counts were conducted during the 2000 and 2001 breeding seasons on each of the 34 and 40 lakes, respectively (Defos du Rau et al., 2003). These point counts were conducted between 1700 and 2100 pm during 20 min and by the same observer in summer 2000 and during 30 min and by the same two observers in summer 2001. Broods of RCP were intensively searched for through telescopes on all the visible water area and within surrounding vegetation fringes. Brood presence, abundance, size and age were recorded. Partially hidden broods were followed within the vegetation until their size and age could be confidently estimated. The age of broods was estimated in weeks, based on size of chicks (Office National de la Chasse, 1982). On each of the 37 randomly selected lakes, three monthly broods counts were conducted by the same observer in May, June and July 2001 during daytime and lake shorelines were visited throughout their length in order to maximise detection of broods. All counts were undertaken only under favourable weather conditions, i.e. when dry and not or only moderately windy. 2.5. Estimation of brood detection probabilities and abundance 2.5.1. Robust-design approach Because of the rarity of breeding RCP in the Camargue, the occurrence of 2 or more broods of exactly same age and size in the same wetland complex was considered highly unlikely. Each observed brood was therefore identified (or ‘‘marked’’) by the combination of their age and size. The same capture-recapture design, or Robustdesign (Kendall et al., 1997), used in Defos du Rau et al. (2003) was used here. It provides estimates of local survival rates (S), temporary emigration (g00 ) and immigration (g 0 ) probabilities and population sizes, as well as capture (p) and recapture (c) probabilities which can be considered here as detection probabilities, as observations of known broods can be viewed as recapture events. The detection probability computed from the robust-design thus corresponded to the probability of detecting an individually marked brood given its presence in the study area. This detectability parameter was used to correct the observed brood densities (in broods/ha) and to obtain unbiased abundance estimates. 357 Analyses were conducted with program MARK (White and Burnham, 1999). 2.5.2. Double-observer approach The same double-observer method (Nichols et al., 2000) used in Defos du Rau et al. (2003) was used here to provide estimates of species specific and observer specific detection probabilities, as well as population sizes with program DOBSERV (Hines, 2000). The detection probability computed from the double-observer approach corresponded to the probability of detecting any brood given it is present in the study area. This detectability parameter was used to estimate the probability of false absence, i.e. the probability of not detecting any brood of the species on a site where the species is actually present. 2.6. Habitat survey The present survey focused on habitat use at the wetland scale, because this scale is the level of most practical conservation and management recommendations. The survey in 2000 was planned as a pilot study. Objectives of the analyses of the 2000 dataset were not to draw inferences about habitat use of RCP but to estimate model order (Mac Nally, 2000), as the number of necessary explanatory variables. Moreover, this analysis was used to identify which categories of variables would potentially influence the response variable and would therefore require more detailed measurements. This preliminary analysis was also dedicated to basic variable selection as a first mean to lessen multicollinearity and type-I errors within subsequent regression analyses (Mac Nally, 2000). A set of 47 predictor variables (Appendix) was measured for each lake, mainly based on Kaminski and Weller (1992). These included presence and densities of potential predators and competitors, food resources, water quality and management, wetland structure and habitat composition: 2.6.1. Wetland structure and habitat types composition Breeding RCP is associated with Phragmites australis (Snow and Perrins, 1998), Typha (Broyer and Daléry, 2000) and Juncus maritimus (Llorente and Ruiz, 1985) beds and salt scrub of Arthrocnemum glaucum (Amat, 1982). Surface areas of patches and islets of Phragmites australis, Typha spp., Juncus spp., Arthrocnemum spp., Scirpus spp. within each lake were located both in the field and on aerial photographs, and calculated by Geographical Information System (GIS, Didger, 2000). In addition, wetland mosaic structure was described for each lake by the distance to the closest lake and the mean distance to the 5 closest lakes. Distances were measured by GIS and log-transformed due to unfavourable ratio pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi of mean to variance. The index ffi perimeter=2 p area (shoreline I.) was used to evaluate shoreline length relative to lake area (Joyner, 1980). 358 P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 2.6.2. Water quality and management Water levels and salinity were measured monthly for each lake during the egg laying period from April to June and standard deviation of water levels was calculated for each lake. Maximum water level, which rarely exceeded 60 cm, was also calculated in April from a sample of 2–6 sampling points according to size of each lake. 2.6.3. Food resources The RCP is primarily a herbivore, depending mainly on Chara spp., Potamogeton spp. and Ruppia spp. beds (Snow and Perrins, 1998). Submerged macrophytes were sampled in the entire water column along 5 parallel 1-mlong line-transects (Kent and Coker, 1992). Transects were 5 m apart on 20-m-long sampling lines chosen at random both in the centre and perpendicular to the shores of each lake. Transect sample sizes varied from 10 to 100 depending on lake size. Relative frequencies of genus Chara, Myriophyllum, Najas, Ludwigia, thickleaved and thin-leaved Potamogeton (Pot.pec frq.) were calculated for each lake. 2.6.4. Predator and competitor communities Marsh harrier (Circus aeroginosus) (Opermanis, 2001), black kite (Milvus migrans), yellow-legged gull (Boutin, 1994) and corvids (Johnson et al., 1989), including magpie (Pica pica) and crow (Corvus corone) could be considered as the main avian predators of RCP clutches and broods in the Camargue. The abundance of individuals was estimated at each point count. Following Kaminski and Weller (1992), competition should be integrated as a factor of habitat selection. Broods of mallard (Anas platyrhynchos), mute swan (Cygnus olor), coot (Fulica atra) and great-crested grebe (Podiceps cristatus) were counted at each point counts as likely competitors because they can use the same trophic and/or spatial niche as RCP. Detectability issues were not considered for these widespread, abundant and/or obtrusive species. 2.7. Habitat use analysis 2.7.1. Model order We first evaluated the number and level of precision of habitat variables needed in subsequent regression analyses. Data obtained on lakes sampled in 2000 were devoted to this selection (Mac Nally, 2000). In 2000, broods were observed on 9 lakes (classified as 1) versus the remaining 25 lakes where broods were considered absent (classified as 0). The unfavourable ratio of the number of observations to the number of variables required a preselection using forward stepwise discriminant function analysis to eliminate variables that did not contribute to differences between occupied and unoccupied lakes. Tolerance threshold (computed as 1 R2 of the respective variable with all other variables in the model) was set at 0.5 to prevent major redundancy between variables; inclusion and exclusion F-statistics were set at 1 and 0, respectively. Furthermore, variables were checked for colinearity between each other and for biological meaning of their trend relative to the response variable. Five variables were finally retained for logistic regression (Alldredge et al., 1998) through a generalized linear model (GLM) procedure to identify through Akaike Information Criteria (AICc) based exhaustive search (Anderson et al., 2001) the reduced set of variables that best separated occupied and unoccupied lakes in 2000 (Table 1). On the basis of this preliminary analysis, the order of a logistic regression on RCP breeding site occupancy would be expected to be a set of 3, or possibly 2 or 4 variables. This preliminary analysis conducted on the 2000 dataset was not used to eliminate some explanatory variables but to improve measurements within variable categories of apparently highest explanatory power. Water management, food resources and predator abundance variables appeared in 7 models of DAICc < 2, justifying subsequent increase in measurement precision of all variables within these categories in 2001 (Appendix), unlike wetland structure variables for which no Table 1 Logistic regression models of habitat variables determining lake occupancy by red-crested pochard in 2000 in the Camargue, France Variables gull abund. waterdepth gull abund. waterdepth waterdepth water area gull abund. waterdepth gull abund. waterdepth gull abund. waterdepth gull abund. waterdepth gull abund. waterdepth water area water area shoreline I. Pot.pec frq. shoreline I. Pot.pec frq. water area Pot.pec frq. water area shoreline I. np DAICc AICc 4 5 3 3 4 4 5 6 0 0.12 0.61 0.66 0.95 1.25 1.59 2.20 39.23 39.34 39.83 39.89 40.18 40.47 40.82 41.43 Only the 7 best models (lowest AICc) are shown. np indicates the number of estimated parameters. Goodness-of-fit : v228 ¼ 31.16, P = 0.31. P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 improvement could be made with respect to the precision level reached in the 2000 dataset. 2.7.2. Water quality and management In 2001, water levels were surveyed every 2 weeks for each lake from April to July. Standard deviations and percent variation of water levels were calculated for each lake in different periods within the egg laying period. Maximum water level was also calculated in April on a larger sample than in 2000, with 2–16 sampling points depending on lake size. 2.7.3. Food resources Additional taxa (Ceratophyllum spp., Ranunculus spp., Scirpus spp., Zannichellia spp. [zanic. freq.], Potamogeton pectinatus, P. fluitans, P. pusillus) of submerged macrophytes were sampled in 2001 compared to 2000, and their relative frequencies were obtained for each lake. 2.7.4. Predator community In addition to abundance, duration of stay was estimated in individuals.min at each point count in 2001. These predator abundance indices were log-transformed owing to unfavourable ratio of mean to variance. Because of reported impact of carnivores on duck nests (Johnson et al., 1989), presence of terrestrial predators, such as dogs (Canis canis), foxes (Vulpes vulpes) and Mustelids, Mustelidae spp., was assessed in 2001 by counts of faeces performed on 1-km transects and repeated once 2 weeks later. These transects were conducted on the closest track to each lake, and all counts were performed within the same wetland habitat following a long period of dry weather (Wilson and Delahay, 2001). Rats Rattus spp. are not known as duck nests predators in the Camargue and were thus not considered. 2.7.5. Variable selection We performed a discriminant analysis using the same threshold values as in 2000 on the 2001 dataset to eliminate variables that did not appear to contribute significantly to differences between occupied and apparently unoccupied lakes. This analysis retained 8 variables that were then checked for colinearity between each other and for ecological meaning of their trend relative to the response variable. Finally, 3 variables of consistent ecological meaning with respect to RCP habitat use were intercorrelated: reedbed area and Zannichellia frequency (r = 0.62), and reedbed area and water depth (r = 0.50). Indeed, growth of both reeds Phragmites autralis and Zannichellia spp. are favoured by the same water regime of annual temporary flooding and drying up (Grillas, 1992; Mesléard and Pérennou, 1996). Also, reedbed surface should be larger when water surface, and thus water depth, increases. 359 To avoid statistical multicolinearity and to reduce the number of parameters of interest in subsequent GLM, these 3 variables were included in a principal component analysis. The first component (PC1, total variance 64.6%) was used as an index of large reedbed areas, high Zannichellia frequency and, to a lesser extent, high water depth (respective factor loadings [unrotated]: 0.90, 0.80 and 0.70). The second component (PC2, total variance 24.5%) was used as an index of low water depth (factor loading [unrotated]: -0.69). This approach was used for causal inference purpose only, but colinear variables were retained individually in predictive models as colinearity does not hamper predictive power of a model but only its causal inference power. Thus, 5 variables were retained for AICc based model exhaustive search: standard deviation of water levels during egg laying period from April to June (waterlevelSD), Myriophyllum frequency (myrio. freq.), mean distance to 5 closest lakes (mdist5lakes), PC1 and PC2. 2.7.6. Regression models The several logistic regression models were compared by DAICc. Goodness-of-fit and overdispersion were checked for by Pearson v2 and variance inflation factor ^c (Anderson et al., 2001). For validation and predictive purpose, the order-3 model with lowest AICc was run on the random sample of 37 lakes. Percentage of correct classification of occupied and unoccupied lakes was plotted against a gradient of occupancy probability threshold. A potential bias for this logistic regression analysis was false absence. Detection probability p 0 obtained from the double-observer method, i.e. the probability to detect brood presence, was used to assess the risk a of false absence, i.e. of undetected presence, and to evaluate efficiency of the present monitoring of n = 6 point counts, following Kéry (2002): probability of not detecting a brood on a site given that it is present = probability of false absence = a = (1p 0 )n. Observed brood densities approximately followed a Poisson distribution, and were modelled in a Poisson regression with a log-link function using the same 5 selected variables. Brood densities were then adjusted by detection probabilities obtained from the lowest AICc robust-design model and applied to the observed brood numbers following the relation: Daj ¼ ^j N WSj ^j ¼ with N X nij ; ^pi i where Daj is adjusted density for lake j, nij is observed brood number during period i on lake j, WSj is water ^ j is total adjusted brood number surface area of lake j, N 360 P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 for lake j, ^ pi is detection probability estimated through robust-design at period i. Adjusted brood densities were then modelled following the same regression design and with the same dataset as for observed broods densities. Fitness consequences of habitat selection were examined using hatching date as a measure of fitness through brood survival (Blums et al., 2002). Since many broods were observed irregularly, i.e. often after most duckling mortality had occurred, hatching date, as inferred from estimation (in weeks) of each broods age, was therefore the only response variable measuring consequences of lake choice in terms of reproductive success. Occupied lakes of both regular and random lake samples from 2001 were pooled in this analysis and a mean hatching date was calculated for each lake (n = 22). Variables were selected and checked for multicolinearity and coherent biological meaning following the same process as for previous habitat occupancy analyses. As for previous analysis, variables were selected through discriminant function analysis of the 50% earliest hatching dates versus the 50% latest. Frequencies of Chara spp. and of Myriophyllum spp., as well as reedbed area were selected for their consistent and unrelated influence on breeding success via hatching date. In addition, the 5 variables selected for the previous analyses of habitat occupancy were expected to influence breeding success through habitat choice and they were therefore checked for multicolinearity and consistent biological meaning with respect to this pooled dataset. All analyses were performed using Statistica (Statistica, 2000). 3. Results 3.1. Bird surveys In 2001, 42 broods were observed on 17 out of the 40 lakes of the main sample. In the random sample of 37 lakes, 13 broods were observed on 8 lakes. Only four lakes occupied in 2000 were again found occupied in 2001. 3.2. Estimation of brood abundance Because robust-design models generated many parameters with identifiability problems, we used program CAPTURE (Rexstad and Burnham, 1991) to initiate model selection and to identify a starting model with either a constant probability of detection, M(o), or incorporating any combination of variations in time, M(t), behaviour, M(b), and individual heterogeneity, M(h), in detection probability. Model M(o) was selected on 4 out of 5 primary sessions, as the starting basis for choosing the best robust-design model. In particular, capture and recapture probabilities were set equal as capture events corresponded to first observations and thus would not influence subsequent observations probabilities. Two observers performed the robust-design protocol, 1 on the first 2 primary sessions, 1 on the last 2 primary sessions, both observers switching with each other on the third primary session. There were therefore 3 different possible observer dependent periods likely to affect capture probabilities. Also, we suspected that time had an impact on brood survival through hatching date (Blums et al., 2002), and on temporary emigration and immigration rates through changes in water levels. Therefore, model selection procedure included comparisons of time and observer based models and we started model selection with model [S(t), g00 (t), g 0 (t), p(t,T) = c(t,T)]. The model with time dependent survival and capture probabilities differing between 2 observer dependent periods (primary sessions 1, 2, 4 and 5 versus primary session 3) had the lowest AICc and was used to estimate the number of broods at each primary session and their detection probability (Table 2). Table 2 Modelling survival, temporary emigration and immigration, and capture probabilities of red-crested pochard broods in 2001, Camargue, France, under the robust-design protocol Model AICc DAICc wi np Deviance {S(t) g00 (Æ) g 0 (Æ) p(1 = 3,2) = c(1 = 3,2)} {S(t) g00 (Æ) g 0 (Æ) p(3) = c(3)} {S(t) g00 (t) g 0 (t) p(3) = c(3)} {S(t) g00 (t) g 0 (Æ) p(3) = c(3)} {S(Æ) g00 (Æ) g 0 (Æ) p(3) = c(3)} {S(t) g00 (Æ) g 0 (Æ) p(1,2 = 3) = c(1,2 = 3)} {S(t) g00 (Æ) g 0 (Æ) p(1 = 2,3) = c(1 = 2,3)} {S(t) g00 (Æ) g 0 (Æ) p(.,.) = c(.,.)} {S(t) g00 (Æ) g 0 (Æ) p(t,T) = c(t,T)} 116.40 118.92 120.01 120.11 124.53 124.93 126.56 129.29 136.97 0.00 2.52 3.61 3.71 8.13 8.53 10.16 12.83 20.57 0.604 0.171 0.099 0.094 0.010 0.008 0.004 0.001 0.000 9 10 13 13 7 10 11 11 22 95.55 95.38 87.84 87.94 108.81 101.38 100.23 102.90 72.73 (t) and (Æ), respectively, indicate time dependent and constant parameters; p(3) indicates that there are 3 different capture probabilities corresponding to the 3 observer dependent periods; p(1 = 2,3) indicates that capture probabilities are equal for the first 2 periods; p(1,2 = 3) indicates that capture probabilities are equal for the last 2 periods; p(1 = 3,2) indicates that capture probabilities are equal for the first and third periods; wi indicates the AICc weights (Burnham and Anderson, 2002); and np indicates the number of estimated parameters. P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 361 Table 3 Number of red-crested pochard broods counted in 2001, Camargue, France, missed in one detectability design but not in the other, detection probabilities and estimated number of broods with their 95% confidence intervals from the double-observer and the robust-design approaches Robust-design third primary session Double observer Broods counted Broods missed Detection probability p SE (p) Estimated abundance N SE (N) 95% CI 16 15 1 2 0.359 0.926 0.084 0.103 21 16 4.13 2.14 [17; 36] [15; 27] As stated in the method section, detection probabilities estimated by both approaches are not comparable due to different methodologies. As both double-observer and robust-design approaches were applied to the same lake subset (n = 33) and as the double-observer protocol was performed on the third of the 5 primary sessions of the robust-design, abundance estimates obtained by these 2 methods were compared (Table 3). Confidence intervals of abundances estimated from both methods largely overlapped. 3.3. Habitat use analysis Using the species specific detection probability estimated from the double observer approach, the probability of a false absence in the dataset was: a = (1 p 0 )n with p 0 = 0.9259 and n = 6 visits, giving a = 1.7 · 107. Brood presence was therefore highly unlikely to be undetected considering the present monitoring of 6 successive visits. 3.3.1. Presence Models of habitat variables affecting lake occupancy by RCP were selected by comparing their AICc (Table 4). The 4 best models included 2 to 4 habitat variables indicating that marshes with relatively higher and more stable water levels, with larger reed and/or Zannichellia beds, and situated closer to other marshes were preferentially chosen. Parameters of the order-3 selected model (DAICc = 0) were estimated (Table 6). For predictive purposes, we ran models on the 2001 dataset but with the 3 colinear variables included individually (Table 5). Order-3 selected model for this analysis was a combination of water level SD, Zannichellia Table 4 Logistic regression models of habitat variables (taking into account colinearity) determining lake occupancy by red-crested pochard in 2001, Camargue, France Variables waterlevelSD waterlevelSD waterlevelSD waterlevelSD waterlevelSD mdist5lakes PC1 PC1 PC1 PC2 mdist5lakes PC1 PC2 myrio. freq. mdist5lakes PC1 np AICc DAICc 4 3 4 5 5 39.65 40.07 40.24 40.36 41.97 0 0.42 0.60 0.72 2.32 Only the 5 best models (lowest AICc) are shown. Goodness-of-fit: v234 ¼ 35.09, P = 0.42. Table 5 Predictive logistic regression models of habitat variables determining lake occupancy by red-crested pochard in 2001, Camargue, France Variables np DAICc AICc waterdepth waterlevelSD zanic. freq. reedbed waterlevelSD zanic. freq. reedbed waterlevelSD zanic. freq. mdist5lakes reedbed waterdepth waterlevelSD zanic. freq. mdist5lakes reedbed waterlevelSD mdist5lakes reedbed waterdepth waterlevelSD mdist5lakes reedbed waterdepth waterlevelSD myrio. freq. zanic. freq. reedbed 5 4 5 6 0 0.11 0.42 0.99 41.96 42.07 42.38 42.95 4 5 6 1.25 1.54 2.46 43.21 43.50 44.42 Only the 7 best models (lowest AICc) are shown. Goodness-of-fit: v233 ¼ 34.93, P = 0.38. Table 6 Parameters estimates and type-3 likelihood ratio tests for red-crested pochard habitat variables (2001, Camargue, France) from order-3 best models when colinear variables are included within PCA factors or singly Colinear variables Parameter estimate SE v2 P As PCA factors Intercept waterlevelSD mdist5lakes PC1 7.53 0.24 1.08 3.36 3.75 0.13 0.68 1.20 4.15 2.90 17.74 0.042 0.089 <0.001 Included singly Intercept waterlevelSD zanic. freq. reedbed 0.24 0.28 0.09 0.39 0.98 0.16 0.08 0.15 4.32 4.39 11.05 0.038 0.036 <0.001 frequency and reedbed area. This predictive model was run on the dataset of the random sample of lakes (n = 37), which allowed for validation of the general model. Model computed from the 2001 dataset correctly predicted up to 84% of occupancy of the randomly sampled lakes (Fig. 1), depending on the chosen probability threshold separating presence and absence. At optimal occupancy probability threshold (0.05–0.21), distributions of observed and expected occupancy frequencies were not different (v236 ¼ 2, P > 0.20) and model predictive performance was maximised. 362 P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 Table 8 Parameter estimates for the selected model relating hatching date of red-crested pochard broods with habitat variables in 2001, Camargue, France (F2,19 = 6.39, P = 0.008) 0.9 0.8 prediction success 0.7 0.6 0.5 0.4 0.3 Variables Parameter estimate SE t P Intercept waterdepth chara freq. 0.35 0.47 0.18 0.18 7.17 1.93 2.59 <0.001 0.069 0.018 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 threshold for probability of lake occupancy Fig. 1. Prediction success in presence/absence of RCP broods as predicted by best model selected in Table 5 and run on the random sample of lakes. 3.3.2. Brood densities Densities of broods were approximately Poisson distributed and were plotted with a log-link function against the same explanatory variables as for brood presence/absence response variable. Goodness-of-fit (GOF) tests indicated that retaining any explanatory variables to describe brood densities patterns was unsafe. The selected model (GOF test: Pearson v238 ¼ 17.09, P = 1) included the mean distance to 5 closest lakes as the only explanatory variable but its effect was relatively small (Type-3 likelihood test: v2 = 2.45, P = 0.12). 3.3.3. Hatching date As expected, brood size was negatively correlated with hatching date (Type-3 likelihood test: v2 = 5.94, P = 0.01) and brood age (Type-3 likelihood test: v2 = 4.22, P = 0.04). Mean hatching date was 10 May, SD = 19 days, n = 50 broods, and early hatching dates then indicated higher breeding success. Water depth, mean distance to 5 closest lakes, frequency of Myriophyllum spp., as well as reedbed area were unrelated and retained. These 4 variables and the frequency of Chara spp. (not linear with any other variable) were included in a multiple linear regression with hatching date as the response variable (Table 7). The most conservative model included water depth and frequency of Chara spp. as negative linear predictors of hatching date. This model (Table 8) explained 34% of the variance in hatching date. Thus, lakes in which RCP bred early and hence had higher breeding success had significantly deeper water and more Chara macrophytes. 3.4. Re-analysis of habitat use with adjusted densities Detection probability estimates obtained from the selected model under the robust-design approach were used to adjust brood numbers observed during each of the 2 observer dependent periods. Adjusted densities of broods were approximately Poisson distributed and were submitted to the exact same analyses as the unadjusted using the same set of variables (Table 9). The best models explaining adjusted brood densities showed better fit ð^c ¼ 0.77Þ than for the observed densities ð^c ¼ 0.41Þ and included mean distance to 5 closest lakes, PC2 for water shallowness and frequency of Table 9 Poisson regression models for adjusted densities of red-crested pochard broods in 2001, Camargue, France Variables np DAICc AICc mdist5lakes mdist5lakes PC2 myrio. freq. mdist5lakes myrio. freq. mdist5lakes PC2 waterlevelSD myrio. freq. mdist5lakes PC2 waterlevelSD mdist5lakes waterlevelSD mdist5lakes PC2 myrio. freq. waterlevelSD myrio. freq. mdist5lakes 2 3 3 4 5 3 4 2 4 0.00 0.28 0.49 0.72 1.33 1.47 1.53 1.59 1.76 53.63 53.91 54.11 54.35 54.96 55.10 55.15 55.21 55.38 Goodness-of-fit: v234 ¼ 26.19, P = 0.83. n = 40. Table 7 Linear regression models of habitat variables determining mean hatching date of red-crested pochard broods in 2001, Camargue, France Table 10 Parameters estimates and type-3 likelihood ratio tests for habitat variables from best order-3 model for adjusted broods densities of redcrested pochard in 2001, Camargue, France Variables np AICc DAICc Variables Parameter estimate SE v2 P waterdepth chara freq. chara freq. waterdepth chara freq. mdist5lakes 3 2 4 187.91 189.13 190.52 0 1.22 2.61 Intercept myrio. freq. mdist5lakes PC2 3.33 0.02 0.89 0.40 1.94 0.02 0.41 0.27 2.04 4.89 2.24 0.154 0.027 0.134 Only the 3 best models (lowest AICc) are shown. n = 22 lakes. P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 Myriophyllum spp. (Table 10). Thus, densities were higher in deep water lakes with low frequency of Myriophyllum and situated within wetlands complexes with a relatively dense network of lakes. 4. Discussion 4.1. Habitat selection Our results indicate that 7 habitat variables are important in determining habitat use and selection by RCP broods (Fig. 2). Predators and competitors did not appear to influence habitat use and selection by RCP in the Camargue, but the possible impact of yellow-legged gull should be monitored in a near future. According to the existing literature on breeding habitat of the RCP (Boutin, 1994; Defos du Rau, 2002), choice for larger reedbed areas seems the most consistent and meaningful ecological feature. Water depth is also a crucial factor, and highlights the effect of water management on the presence, density and breeding success of RCP in the Camargue. Preferred use of deeper lakes was already observed by Amat (1984) and expected from an opportunistic diving duck such as the RCP within a dabbling duck community. The positive correlations of Zannichellia and Chara abundances with presence and breeding success, respectively, probably indicate preferred use and selection of temporary flooded lakes. Indeed, these macrophyte species are largely dependent on temporary floods and, consequently, regular drying up, as found in naturally functioning Mediterranean marshes and lagoons (Grillas, 1992). Reedbeds too are favoured by an annual summer drying up (Mesléard and Pérennou, 1996). Discussion of which habitat features be- Frequency of Zanichellia sp. +** +** Surface of reedbed -* Waterlevel variation Presence Habitat fragmentation +** + Waterdepth -* Density - Frequency of Myriophyllum sp. +* +** Success Frequency of Chara sp. Fig. 2. Summary of the main factors affecting the probability of presence, the density and the breeding success of RCP broods in the Camargue. + and , respectively, indicate positive and negative effects. *P < 0.05; **P < 0.01. 363 tween reedbeds or temporary flooding are preferred by RCP is beyond the scope of this work, but there are reasons to believe that both are important. Alleged importance of temporary flooding is further confirmed by observed avoidance of lakes with higher Myriophyllum frequency. This probably reflects a favourable water management rather than a real avoidance of this macrophyte. Myriophyllum is not a known major food resource for RCP (Snow and Perrins, 1998), but it is a highly competitive and productive colonizing species favoured by low variability of water levels, which decreases macrophytes species richness (Grillas, 1992), and thus leads to depletion in abundance, diversity and quality of preferred RCP food. The literature clearly mentions the noted preference for Chara as a main food resource (Szijj, 1965; Boutin, 1994). Whether Chara macrophytes are consumed by RCP broods remains to be confirmed, but it is definitely consumed by adults, and constitutes an important determinant of breeding success probably as a food resource for earliest most successful broods. 4.2. Methodological issues Assessment of detection probability has been recently highlighted as a crucial issue when monitoring animal populations (Nichols et al., 2000; Thompson, 2002). Still, the double-observer design cannot be considered to have provided efficient results for the mere objective of estimating brood abundance, as it clearly underestimated the real brood population size that is at least of 17 broods. For rare species with relatively low individual detectability like the RCP, the double-observer approach may be less well adapted to accurate abundance estimation than capture-recapture methods as mentioned by Nichols et al. (2000). The advantage of such a time extended protocol over point counts methods like double-observer (Nichols et al., 2000), Time Species Counts (Freeman et al., 2003), fixed radius or double-sampling (Bart and Earnst, 2002), is that it constitutes a unified single monitoring scheme over an extensive breeding season. In comparison, point counts only provides snapshots of the breeding situation on a given site and will not account for detectability variation in time if applied on too few occasions. Nevertheless, adjusted point counts techniques do not require marking animals and are equally time replicable during the whole breeding season. Detection probability analyses further permitted inference on habitat use by RCP when applied to observed unadjusted brood densities. A classical study of abundance-habitat relationship for broods of RCP did not provide any satisfying explanatory patterns. However, once adjusted, density was described by an order-3 model with a reasonable fit. This suggests that 364 P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 without any estimation of detectability and its variation in time, this study would have wrongly concluded that no apparent limiting factors affected densities of the species in the Camargue. A simple time restricted survey of the detection probabilities of the species broods would equally have produced 1 detectability estimate that, once applied to point counts adjustment, would have unaltered the results of unadjusted abundance habitat relationship analysis. It is precisely the investigation of the variation of detectability with time that permitted the identification of factors limiting the abundance of RCP broods. 4.3. Management recommendations We suggest the following management recommendations that would theoretically favour breeding and abundance of the RCP in the Camargue, as well as of several other mediterranean wildlife and plant species naturally occuring in the Camargue: (a) Maintain large reedbed areas around water bodies, in order to increase the probability of occupancy. (b) Maintain relatively high and stable water levels in spring and early summer, in order to increase the probability of occupancy, the breeding densities, and the breeding success. This recommendation does not imply necessarily to artificially maintain high water levels by pumping, but rather suggests not to artificially drain water bodies during this period of the year. This recommendation should also favour many other breeding waterbirds, including the threatened Purple Heron Ardea purpurea (Kushlan and Hafner, 2000). (c) Maintain between year variability of flooding conditions (i.e., water levels), including periodic summer drying up, as is typical of naturally functioning Mediterranean wetlands (Tamisier and Grillas, 1994). This type of management should favour the occurrence of macrophytes such as Phragmites australis, Zannichellia and Chara species, and should negatively affect the abundance of Myriophyllum species (Grillas, 1992; Mesléard and Pérennou, 1996). (d) Maintain wetlands complexes where lakes and marshes are relatively dense, as brood densities will be maximised (breeding females may for instance benefit from the largest possible choice of brood rearing water bodies [Krapu, 1974]). In other words, intensity of use and breeding success of RCP in a wetland patch would increase with patch size, without apparent major impact of predators within the range of patch sizes found in the Camargue. These results need further specific testing as part of this important debate (Weller, 1988; Clark and Nudds, 1991). Nevertheless, among all the tested variables of predation, competition, food resources, water management and wetland structure, wetland habitat fragmentation was identified as the main limiting factor for density of RCP broods. Corresponding management recommendations would be to avoid increasing distances between lakes or marshes of a wetland complex by immediately stopping wetland destruction and fragmentation. Nearly 30,000 ha of wetland areas have been lost in the Camargue during the last 30 years (Tamisier and Grillas, 1994), and although many warnings and recommendations have been produced against wetlands destruction, it is still in current process in the Camargue (Mathevet and Tamisier, 2002). Overall habitat requirements of RCP in terms of water management seems to be a high and relatively stable water level through spring before a summer drying up performed at least for some years, and thus favouring diverse and Chara-rich macrophyte community. This recommended water management is probably similar to what might have formerly been the natural functioning of Mediterranean wetlands. Current practices in water management actually favour permanent flooding. In particular, water levels are kept artificially high in summer, where they should naturally be at the lowest, to maximise biomasses of species poor but highly productive macrophyte communities mainly constituted of Potamogeton pectinatus and Myriophyllum spicatum (Grillas, 1992; Tamisier and Grillas, 1994). However, those management recommendations specially designed to increase abundance of this endangered breeding duck would have actually been lacking simply because of the absence of previous knowledge of its detection patterns. We therefore recommend that, whenever possible, habitat selection surveys involving census of rare and/or cryptic species should include an analysis of detectability to raise more reliable inferences for conservation issues. Acknowledgements We thank all the Camargue landowners, Les Marais du Vigueirat and Domaines Listel who allowed us to use their estates as study sites. Thanks are due to S. Cayuela and J. Travers for skilled fieldwork, and to T. Giraud, A. Béchet, T. Boulinier, M. Guillemain and N. Sadoul, as well as two anonymous reviewers for comments. P. Defos du Rau et al. / Biological Conservation 125 (2005) 355–367 365 Appendix Habitat variables measured for each lake in 2000 and 2001 2000 2001 Response Brood presence or absence Brood density Brood size Brood age 0 or 1 Broods/ha # of pulli In weeks 0 or 1 Broods/ha # of pulli In weeks Competitors Density of coots Density of mallards Density of swans Density of grebes Broods/ha Broods/ha Broods/ha Broods/ha Broods/ha Broods/ha Broods/ha Broods/ha # # # # # # of indiv.min # of indiv.min # of indiv.min # of indiv.min # of indiv.min 0 or 0.5 or 1 0 or 0.5 or 1 0 or 0.5 or 1 Predators Abundance of gulls Abundance of harriers Abundance of kites Abundance of magpies Abundance of crows Mustelids presence Dog presence Fox presence Water management Mean salinity Water depth Water level SD in April and May Water level SD from April to June Water level SD from April to July Water level variation from 20/04 to 10/05 Water level variation in May Water level variation from 20/05 to 10/06 Water level variation in June of of of of of indiv. indiv. indiv. indiv. indiv. g/l cm cm % # of species % % % % % % % % % % % # of species Wetland structure and habitats Mean distance to 5 closest lakes Distance to closest lake Water surface area Reedbed surface area Arthrocnemum meadows area Scirpus beds surface area Juncus beds surface area Number of islets Area of reedbed islets Area of Arthrocnemum islets Area of Scirpus islets Area of Juncus islets Total wetland area Shoreline index m m ha ha ha ha ha # of islets ha ha ha ha ha Perimeter/2(p · area)1/2 m m ha ha ha ha ha # of islets ha ha ha ha ha Perimeter/2(p · area)1/2 % % % % In In In In In 2001 2001 2001 2001 2001 g/l cm cm cm cm % % % % Food resources Frequency of Myriophyllum sp. 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A review of methods to estimate the abundance of terrestrial carnivores using field signs and observation. Wildlife Research 28, 151–164. Chapter 4 SOME ASPECTS OF RED-CRESTED POCHARD MACROECOLOGY AND HABITAT USE IN EUROPE: IMPACT OF DETECTION ISSUES P. Defos du Rau, J.Y. Mondain-Monval, C. Barbraud, F. V. Esquerre, J. Hanganu, J.B. Kiss, A. Torres, S. Lek, E. Cam INTRODUCTION Analyses of habitat requirements over an entire population range (as defined by Krebs 1972) allows comparisons of high- and low-abundance patches and more generally of subpopulations exhibiting different dynamics, potentially of different conservation concern (O’Connel 1999). Apart from the notable exception of large-scale GIS and Atlas datasets (Gimona & Brewer 2006 for a recent example), habitat surveys over the entire range of a population distribution are nevertheless rarely performed (Brown 1995), especially on rare or threatened species (Guisan et al. 2006) because of the amount of fieldwork required. However, such large scale surveys are potentially useful for macroecology inferences (Brown 1995, Watkinson et al. 2003). In particular, conservation of rare or threatened species can benefit from large scale surveys, including analyses of spatial variation in habitat use, which may allow identification of low-quality patches and design of specific management plans for such patches (Reynolds 2003). Inferences in macroecology as well as in standard habitat use analyses often involve comparisons of occurrence and abundance among populations and among sites, respectively (Brown 1995, Block & Brennan, 1993). It is therefore crucial to base these inferences on unbiased occurrence and abundance estimates among sites and populations. This is especially true for rare species at large geographical and ecological scales because there may be variation in detection probability with space, observer, habitat and mainly, local abundance (Nichols et al. 2000, MacKenzie et al. 2002, Thompson 2002, Gu & Swihart 2003, Royle & Nichols 2003). Modeling occurrence and abundance for macroecological or conservation purposes requires statistical inference tools accounting for detectability variation, as defined by Pollock et al. (2002) and MacKenzie et al. (2006) for large scale wildlife surveys. Here we estimated occupancy and abundance of broods in a rare European breeding waterbird, the Red-crested Pochard (RCP) Netta rufina. Defos du Rau et al. (2005) estimated RCP occupancy and abundance in one major European wetland: the Camargue (France) and modelled them according to habitat covariates. However, to gain predictive reliability and generalization power in species-habitat models and management recommendation over a wider range of situations and locations, an additional larger scale 1 habitat survey with a larger sample was recommended. We modelled occupancy and occurrence over several locations in Europe. We addressed ecological hypotheses put forward in the framework of theories of the Hutchinsonian Niche (Block & Brennan, 1993, Brown 1995, Guisan & Thuiller 2005), and on resource selection functions (Manly et al. 2002, Alldredge & Griswold 2006). Our approach was based on capture-recapture models for detectability estimation (i.e., models incorporating detection probability; Kendall et al. 1997, MacKenzie et al. 2002). Resulting occupancy and abundance models were then used to (i) identify most important habitat variables for RCP breeding site conservation and management, and (ii) address some simple macroecological hypotheses on Mediterranean population dynamics of RCP in order to better understand current demographic and conservation issues for this still rare, possibly threatened, game waterbird. The Red-crested Pochard is a migratory duck known to breed mainly in Central Asia, from China to the Black Sea, and more locally in Central and Western Europe (Snow & Perrins 1998). The species is listed in appendix III of the Berne Convention, in appendix II of the Bonn Convention, in appendix II/2 of the EU Birds Directive 94/24 and in Annex II of the African-Eurasian Waterbird Agreement. Although it is considered of strong conservation concern, especially in Eastern Europe which was once supposed to hold some of the largest European populations (Tucker and Heath 1994), the species is hunted in France, Portugal, Romania and Spain. In three of these countries, we monitored RCP brood rearing activity and habitat use in major coastal wetlands, namely Danube delta in Romania, Rhône delta in France and Ebro delta in Spain. A priori hypotheses Based on previous knowledge on RCP breeding ecology and habitat (Tucker and Heath 1994, Snow & Perrins 1998, Defos du Rau et al. 2005), we made the following a priori hypotheses about factors affecting habitat use by broods at the local, landscape and regional scales. 1) We expected a higher occupancy probability and/or abundance in Danube delta, which is considered a traditional, relatively preserved, stronghold of the species (Tucker and Heath 1994), compared to the two other west European deltas. The latter are largely degraded, fragmented and reclaimed. Furthermore, Danube delta is located closer to the center of the 2 species range than the other two western deltas; we might thus expect this delta to be more densely occupied (Brown 1995, Watkinson et al. 2003, Guo et al. 2005). We also expected an increase in occupancy probability and/or abundance: 2) as habitat fragmentation decreases. Low level of fragmentation corresponds to a minimal number of reclaimed or degraded lakes within wetland complexes like deltas (Weller, 1988), 3) as abundance of both preferred nest site helophytes and food macrophytes increases. According to Snow and Perrins (1998), the breeding habitat of RCP is often characterized by both reedbeds and extensive macrophytes beds, 4) as temporal variation in water level decreases and water depth increases. This should be associated with decreased risk of drying up, which is high in Mediterranean wetlands (Kaminski and Weller, 1992), 5) as predator and inter-specific competitor densities decrease. or, conversely 6) as predator density increases following increased occupancy or abundance of corresponding prey, i.e. RCP. Although few studies have succeeded in demonstrating an impact of intra- or inter-specific competition on brood spacing and space use (DuBowy, 1991; Anderson and Titman, 1992), both competition and predation are strongly suspected to affect habitat use by broods (Kaminski and Weller, 1992) and species-habitat relationships across various scales in general (Jones 2001, Guisan & Thuiller 2005, Guisan et al. 2006b). 7) We expected a non-linear increase in abundance as area of preferred habitat increases, under the assumption of habitat overfilling due to habitat loss (Reynolds 2003). 8) We expected an increase in occupancy probability of low quality patches (sink) as distance to nearest high-quality patch (source) decreases. This prediction was based on the hypothesis of dispersal within deltas, and the existence of source and sink subpopulations (Brown 1995). Last, we addressed metapopulation dynamics, due to possible source-sink dynamics, among all or some of the three studied subpopulations, as defined by Gay et al. (2004) for European RCP population (Watkinson et al. 2003). 3 METHODS Study Species The RCP is a rare breeding duck species in Europe, with an estimated 13000 - 25000 breeding pairs only outside its main breeding strongholds of Central Asia (Snow & Perrins 1998). Along with Russia, Southeast France, East Romania and Spain are part of its main European strongholds (Tucker & Heath 1994). The species breeding habitat is poorly documented, particularly outside France and Spain, but is generally known to include mainly extensive reedbeds and submerged macrophytes (Snow & Perrins 1998). Increasing brood predation by yellow-legged gull (Larus michahellis) has been suspected to cause major habitat switch in the Camargue delta from brackish to fresh marshes and lakes covered with reedbeds (Boutin, 1994). RCP is rather cryptic in its breeding behaviour and habits, and broods mostly come out of the vegetation fringe on open water in late afternoon and in the early evening. Study areas (Figure 1) Figure 1: study areas are deltaic wetlands created by major European rivers 4 All three study areas are extensive wetlands of Southern Europe created by sedimentation at the mouth of 3 major European rivers. Each of these three Mediterranean deltas is listed in the Ramsar Convention and under various national conservation designations (Frazier 2002). They have major conservation value and, in particular, have long been of international importance as breeding areas for RCP (Bigas & Vidal 2004, Defos du Rau et al. 2003, Gillissen et al. 2002, Tucker & Heath 1994) The Danube river mouth is a vast, largely natural delta of 5445 km2 split between Romania (5007 km²) and Ukraine (438 km²) on the west coast of the Black Sea. Natural habitats account for approximately 91% of the total delta area due to the largely untouched hydrological functioning of this characteristic delta ecosystem. However, a large northern part of the Danube Delta has been reclaimed for agricultural activities in the 1970s and several canals are currently affecting the natural hydrology of the delta. The number of RCP was estimated to be comprised between 400-2000 pairs for the whole delta. The Rhône river mouth, known as the Camargue, is a largely cultivated delta of 1450 km2 on the west coast of the Mediterranean. Natural habitats (freshwater and brackish marshes, including reedbeds and temporary flooded salt meadows) account for approximately 40% of the total delta area. There are 230 estates in the whole delta, which are either protected or hunting areas. The number of RCP was estimated at approximately 600 pairs for the whole Camargue. The species is known or suspected to breed regularly in a few estates within the delta where breeding habitat is available and when flooding conditions are adequate. The Ebro river mouth forms a relatively small and densely cultivated delta of 330 km2 , also on the west coast of the Mediterranean. Natural areas remain on 20% of the Delta area, mainly along the coast, and are composed of sandy beaches, coastal lagoons, brackish, salt and freshwater marshes surrounded by reedbeds. Most of the land is privately owned. The number of RCP was estimated at approximately 2000 pairs for the whole delta. Delta Area (km²) % natural habitat Sampled sites n Estimated RCP pairs Danube 5445 91 36 400-2000 Camargue 1450 40 40 600 (Defos du Rau et al. 2003) Ebro 330 20 9 1500-2200 (Bigas & Vidal 2004) Table 1 : study areas characteristics 5 Sampling To evaluate the performance of our occupancy models at predicting presence of RCP broods as a function of habitat variables, meeting recommendations from Guisan & Thuiller (2005), we used a test data set in addition to the training data set. Observed occupancy in the test set was then compared with occupancy predicted by the model estimated using the training set (and run on the test set). - Training data set. Within each of the three deltas, study areas were selected on the basis of access facilities and presence of the main characteristics of RCP preferred habitat, including reedbeds and adequate waterdepth. Based on previous knowledge (Tucker and Heath 1994, Snow & Perrins 1998) of RCP breeding habitat preference for large reedbeds (confirmed in the Camargue by Defos du Rau et al. 2005), we selected only study areas with reedbeds and minimal flooding conditions in order to ensure collection of sufficient data on presence for analysis. Our goal was also to increase our understanding of RCP niche requirements in reedbed wetland habitat. Within these study areas, we sampled systematically all wetlands with reedbeds and proper flooding conditions. In Ebro delta, we surveyed 9 of the 11 major wetlands with reedbeds. The remaining two were either dry or forbidden to visit. In the Camargue, we surveyed 40 wetlands within 7 study areas. In Danube delta, we surveyed 36 wetlands within 5 study areas (Table 1). We compared habitat variables between lakes occupied versus not occupied by RCP broods. Unused lakes were situated in immediate vicinity of used lakes and in the same flooding conditions and were thus available as well as accessible to the species (Jones 2001). - Test data set. For habitat model validation purpose, a further 37 wetlands were selected in the Camargue through proportional-stratified random sampling based on a 4x3 cells grid over the whole delta. In each cell, wetlands were randomly drawn proportionally to estate abundance. Bird Survey Following methodology described in Defos du Rau et al. (2005), a minimum of 3 (in Danube Delta) and a maximum of 9 (in Ebro Delta) consecutive point counts were conducted in the 6 local peak months of the 2001 breeding season (May to July), on each of the 85 lakes. Because of RCP rarity and apparent occurrence unpredictability, we chose to maximise pointcounts replicates in space rather than in time. These point counts were conducted in the late afternoon and early evening during 30 min., by two observers in the Camargue and by one observer in each of the other two deltas. Broods of RCP were intensively searched for using telescopes on all the visible water area and within surrounding vegetation fringes. Brood presence, abundance, size and age were recorded. Partially hidden broods were followed within the vegetation until their size and age could be confidently estimated. The age of broods was estimated in weeks, based on size of chicks (Office National de la Chasse 1982). On each wetland of the test data set, three monthly brood counts were conducted by the same observer in May, June and July 2001 during daytime, including exhaustive visit of the 37 wetlands shoreline in order to maximise detection of broods. Habitat Survey We examined the effects of various habitat factors on brood presence and abundance at two geographic scales which are appropriate for most practical conservation and management recommendations: the wetland complex scale and the individual wetland scale (Weller 1988). For models of brood presence and abundance, we considered 2 delta effects (i.e., Delta identity: Danube and Ebro), and 30 covariates (Appendix) were measured for each wetland, following recommendations from Weller (1988), Kaminski and Weller (1992), Jones (2001), Ruth et al. (2003). These included frequencies of potential predators, diversity and densities of potential competitors, food resources, water management, and wetland landscape structure (Appendix): Wetland Structure and Habitat Type Composition RCP is thought to nest preferentially in Phragmites australis beds (Tucker & Heath 1994, Snow and Perrins, 1998) or salt scrubs of Arthrocnemum glaucum (Amat, 1982). Surface areas of vegetation patches and islets of both these abundant habitat type as well as of Scirpus sp, a likely brood-rearing habitat (Mack & Flake 1980), were measured for each wetland. In addition, wetland mosaic structure within landscape was described for each lake by the distance to the closest lake and the mean distance to the 5 closest lakes. The index perimeter/2 π × area (shore) was used to evaluate shoreline shape from circular/regular to 7 indented (Joyner, 1980). All these geographic variables were computed using standard Geographical Information System (GIS). Water Management Water level was measured monthly for each wetland during the egg laying period from April to July and standard deviation of water levels during that period was calculated. The maximum observed water level was used as an index of the wetland depth. Food Resources The RCP is primarily herbivorous, known to graze mainly on Chara spp., Potamogeton spp. and Ruppia spp. beds (Snow and Perrins, 1998). Genus richness of submerged macrophytes was assessed in each wetland and relative frequencies of two most ubiquist taxa, Myriophyllum sp and Potamogeton pectinatus, were estimated along a Braun-Blanquet scale (Kohler 1978). In particular, according to Green (1998), beds of Potamogeton pectinatus are often preferred foraging habitat for Mediterranean duck communities. Predator and Competitor Communities Marsh harrier (Circus aeroginosus) (Opermanis, 2001), yellow-legged gull (Boutin, 1994) and corvids (Johnson et al., 1989) are predators of duck clutches and broods. We assessed mean number of individuals seen during the 30min point counts as an index of potential predation frequency. In addition, competition was considered a potential driver of habitat use by RCP broods. Brood densities of most abundant competitor, i.e. mallard (Anas platyrhynchos), gadwall (Anas strepera), mute swan (Cygnus olor), coot (Fulica atra) and great-crested grebe (Podiceps cristatus) were estimated for each wetland as an index of potential competition intensity within the same trophic and/or spatial niche as RCP. Detectability issues were not considered at first for these widespread, abundant and/or conspicuous species. However, the assumption of perfect detectability of every species of predator or competitor may not be met. In addition, presence of predators for example may influence detectability of RCP broods: they may remain more cryptic and investigators may miss a larger proportion of broods when predators are present compared to situations where predators are absent. Last, the same habitat variables may influence independently RCP brood occurrence and predator or competitor occurrence. Not taking RCP brood and predator or competitor detectability into account may result in an apparent interaction between RCP brood presence and presence of predators or competitors. Consequently, we re-tested the 8 hypothesis of inter-specific interaction between RCP brood and predator or competitor species using co-occurrence models for species with imperfect detection (MacKenzie et al. 2004). These co-occurrence models are implemented in program PRESENCE (available for download at http://www.mbr-pwrc.usgs.gov/software.html). Species richness of all likely competitors for food and/or space in the wetland patch was also estimated as a further index of competition factor potentially influencing RCP brood occurrence and abundance. Because of its potential major impact on species-habitat models (Segurado et al. 2006, Guisan et al. 2006b), we addressed spatial autocorrelation in both RCP broods occurrence and abundance by building omnidirectional variograms using the Software Variowin version 2.21 (Pannatier 1996, Barbraud & Delord 2006). Occupancy modeling Because of RCP rarity and cryptic behaviour, it was highly unlikely that all occupied wetlands be identified during sampling sessions, even after several time-replicated pointcounts. Indeed, imperfect detectability of RCP broods (Pollock et al. 2002) was likely to lead to false absences. Consequently, we used a mark-recapture approach developed by MacKenzie et al. (2002) and implemented in program PRESENCE to model occupancy probability for each wetland and estimate the corrected number of occupied wetlands, on the basis of RCP brood detection histories and habitat covariates on the surveyed wetland. This approach relies on the replication of survey occasions through time which can be recorded as a vector of 1’s (detection) and/or 0’s (non-detection), also allowing for missing data. The 85 wetlands were thus surveyed on 3 to 9 occasions during the breeding season, when RCP brood population on each wetland was considered demographically closed. Broods are assumed not to be falsely detected when absent, and to be detected independently of brood detection on other wetlands. Detection probability. As highlighted by Gu & Swihart (2003), it was necessary to model detection-habitat relationships before building a predictive habitat model for brood occupancy. With the approach developed by MacKenzie et al. (2002), this can be done by addressing the influence of covariates on detection probability before starting to address covariates influencing occupancy probability. As recommended by Gu & Swihart (2003), habitat covariates potentially affecting RCP brood detection probability were first addressed 9 using logistic regression, as implemented in program PRESENCE. For computation purposes with program PRESENCE, all independent variables were ‘studentized’ before analysis by subtracting the corresponding mean and then dividing by the standard deviation. Predation and competition were considered as variables potentially affecting detection of RCP brood (Appendix), because increased predation and competition may lead to increased brood tendency to stay under vegetation cover. We also addressed the hypothesis that relative and absolute extent of open water and vegetated habitat influenced detection of broods. Lastly, brood detection variation among deltas was also addressed. Prior to incorporating covariates into models we used pre-defined detection models implemented in program PRESENCE to assess whether detectability varied in time, i.e. between survey occasions and in space, i.e. between two or three sites groups. Occupancy probability. Recommendation to assess the influence of as many habitat variables as possible on occupancy probability (Kaminski & Weller 1992) was difficult to follow for such a rare species with obviously unfavourable ratio of sample size to number of variables. Consequently, we used an approach based on several steps. First, we conducted a preliminary analysis to select variables that most contributed to differentiate used and apparently unused wetlands (i.e., data from presence/absence uncorrected for detection probability). To do so, we used a forward stepwise discriminant procedure. To account for the specific influence of habitat effects (and not for geographical variation; i.e., Delta) on apparent occupancy in the discriminant analysis, we centred every habitat variables on the three delta means according to the corresponding individual wetlands. Tolerance threshold (computed as 1 – R² of the respective variable with all other variables in the model) was set at 0.5 to prevent major redundancy between variables; inclusion and exclusion F-statistics were set at 1 and 0 respectively. Moreover, habitat variables were checked for colinearity between one another and for coherence of their effect sign with the corresponding a priori hypothesis. In a second step, the retained variables were included in logit models of occupancy probability incorporating detection probability implemented in PRESENCE. The relative support of the data for various logistic regression models of detection and occupancy (Hirzel & Guisan 2002, Alldredge & Griswold 2006) was assessed using Akaike Information Criteria (Anderson et al. 2001). Goodness-of-fit and overdispersion were checked for by Pearson χ² 10 and variance inflation factor ĉ (Anderson et al. 2001, MacKenzie & Bailey 2004). For comparison purpose with the latter models accounting for imperfect detectability, the retained variables were also used in an exhaustive search procedure of every possible combinations of covariates in standard logistic regression models (i.e. assuming perfect detectability). Both procedures allowed identification of a reduced set of variables that best explained and predicted RCP broods occupancy among wetlands. We chose not to incorporate interactions in occupancy models because of the large number of variables considered. Program PRESENCE computes estimates of proportion of occupied sites and covariate-dependent occupancy probabilities for individual sites. Once a first comprehensive occupancy model was identified using PRESENCE (on the basis of the habitat variables primarily selected using discriminant analysis), predicted proportion of occupied sites allowed estimation of the number of false absences. We used wetlandspecific occupancy probabilities to identify wetlands where presence of broods had a higher probability to have remained undetected by investigators: these were wetlands with apparent absence of brood but with the highest occupancy probabilities. In a third step these false absence wetlands were converted into presence in a second deltacentred discriminant analysis incorporating only unused habitat variables. This aimed at identifying habitat variables affecting brood occupancy left undetected in the first discriminant analysis. Last, we evaluated predictive performance of best occupancy models on the stratified random sample test set using receiver operating characteristic (ROC) curves (Liu et al. 2005, Fawcett 2006). Abundance modeling - Detection probability. To estimate individual brood detectability, a robust-design was used as a double-sampling scheme (Pollock et al. 2002) in a subset of 10 Camargue wetlands with assumed highly favourable habitat and high RCP occupancies. Because of the rarity of RCP as a breeding bird in the Camargue, the occurrence of 2 broods of identical age and size in the same wetland complex was highly unlikely. Each observed brood was 11 therefore identified (or « marked ») by the combination of age and size. The same capturerecapture design was used in Defos du Rau et al. (2005).The Robust-design model (Kendall et al., 1997) provided estimates of local survival rates (S), temporary emigration (g”), immigration (g’) probabilities and population sizes but was only used to estimate capture (p) and recapture (c) probabilities of individually identified broods. Both latter probabilities were considered as detection probabilities, since observations of known broods can be viewed as (re)capture events. In this view, the detection probability estimated using the robust-design model corresponded to the probability of detecting an individually marked brood given its presence in the study area. This detectability parameter was used to correct brood abundance observed on occupied wetlands in the three deltas. Detectability was hypothesized to vary in time and space according to habitat covariates. Consequently, we conducted a Huggins robust-design analysis allowing incorporation of covariates. We used program MARK (White and Burnham, 1999). We considered most of the habitat variables assumed to influence RCP brood detection (Appendix) as covariates, but we pooled densities of all possible competitors (« compdens »). In addition, we did not use frequency of harrier because this species occurred very rarely on the double-sampling wetlands subset. We first conducted a model selection procedure by addressing temporal variation in the different parameters among and within primary sampling occasions and then by addressing the influence of covariates on capture (p) and recapture (c) probabilities. - Abundance. Observed and detectability-adjusted brood abundances were modelled using Poisson regression with a log-link function. We considered the same covariates as those selected for occupancy probability. For detectability-adjusted abundances we also included the covariates selected by both successive discriminant analyses. Observed brood abundances were adjusted by capture probabilities estimated from the lowest AICc robust-design model as follows: Da j = Nˆ j n , with Nˆ j = ∑i ij , WS j pˆ i where Daj is adjusted density for lake j, nij is observed brood number during period i on lake j, WSj is water surface area of lake j, N̂ j is total adjusted brood number for lake j, p̂i is detection probability estimated through robust-design at period i. 12 We used the new proportion of occupied wetlands estimated by the final occupancy model to estimate the number of false absences among the apparently unoccupied wetlands with the highest occupancy probabilities. These wetlands were conservatively assigned a minimum “observed” abundance of one brood. Since we corrected both occupancy probability and abundance for detection probability, we assumed that remaining absences in the data set were true ones and we therefore used those in the abundance models. We thus log-transformed the observed and detectability-adjusted brood counts augmented with one. Macroecological hypotheses - Occupancy and abundance should decrease from center (Danube delta) to edge (Ebro delta) of the species global range (Brown 1995, Watkinson et al. 2003, Guo et al. 2005) and from preserved to degraded breeding areas. To address these hypotheses, we examined spatial effects of delta identity in the best occupancy and abundance models and graphically compared mean predicted occupancy, adjusted abundance and observed abundance (with their 95% confidence intervals) for each delta. - Habitat loss should lead to habitat overfilling. We addressed the hypothesis of a possible habitat loss effect among (i) the 3 deltas and (ii) the two most densely occupied and most degraded deltas by testing linearity of breeding habitat area - brood abundance relationship (Reynolds 2003, Wiegand et al. 2005). Our reasoning was based on the idea that proportionality between habitat area and brood abundance reflects an increase in brood abundance with area but no increase in brood density (i.e., no overfilling/crowding). Conversely, positive departure from proportionality would indicate an increase of brood density with habitat area and thus overfilling of larger, most attractive, habitat. All possible models of brood abundance including quadratic functions of habitat area were compared to simple linear ones to assess departure from proportionality. In case of non proportionality (i.e. non-constant/area-dependent density), a positive quadratic parameter of the most supported order-two polynomial model may provide evidence of crowding. Such habitat overfilling is potentially indicative of currently occurring habitat loss (Reynolds 2003). We incorporated interactions of Ebro and Danube deltas with habitat area to account for possible geographical effects on the relationship between habitat area and brood abundance. Using only non-null brood abundance (both unadjusted and detectability-adjusted) for this analysis, we compared all models with ΔAICc below or immediately above 2. 13 We quantified breeding habitat availability using reedbed area because it is an important nesting habitat of the species (Snow & Perrins 1998, Defos du Rau et al. 2005), it is positively related to the total wetland area in our sample (r=0,82,p<0,001), and it has high conservation value (Poulin et al. 2002). For these reasons, we assumed that reedbed area was a highly relevant habitat variable to address the influence of habitat loss on brood abundance. - Assuming source-sink dynamics (Pulliam & Danielson 1991, Brown 1995) and dispersal among sites due to habitat overfilling, occupancy probability of low quality patches (sink) should increase as distance to nearest high-quality patch (source) decreases. Once the niche variables that govern local occurrence and abundance have been identified, a possible effect of dispersal from favorable patches (sources) to less favorable ones (sinks) can be addressed. Local occupancy rates predicted by traditional logistic regression on observed presence-absence data or using MacKenzie et al. model (2002) provide different expected adequacy to observed data that can be evaluated by ROC analysis (Fawcett 2006). Prediction performance, as well as thresholds of predicted occurrence can be assessed using ROC curves (Liu et al. 2005). This threshold discriminates between more and less favorable patches. If dispersal from source to sink habitat occurs, then, in less favorable patches, the occupied ones should be closer to source (i.e. occupied favorable patches) on average. We therefore compared models of observed RCP brood occurrence in less favorable patches predicted by habitat-modeled occupancy and distance to closest source (i.e. occupied favorable patch). When using detectability-adjusted occupancy, we measured distance to closest source considering previously identified false absences (i.e. those with highest occupancy probabilities but where investigators had not detected RCP broods) as sources. - Assuming source-sink dispersal processes, there may be metapopulation dynamics among all or some of the three studied subpopulations. A proper assessment of the existence of metapopulation dynamics in RCP would require at least time series of RCP brood occurence or abundance in subpopulations showing extinction and colonization events. But macroecology theory may provide preliminary insight into the existence of such dynamics, by addressing the linear relationship between logit-transformed occupancy and log-transformed local abundance (Watkinson et al. 2003). Positive relationships between abundance and occupancy may reflect metapopulation dynamics or spatial variation in availability of habitat 14 and resources (Hanski & Gyllenberg 1997, Freckelton et al. 2005). A general model of the density – occupancy relationship is the following (Hanski & Gyllenberg 1997): logit(p)=a+b.log(n), where n stands for density and p for occupancy probability. If there is a metapopulation dynamics in the study system, a density increase occurring at low abundance will increase patch occupancy more than proportionaly due to colonization processes (i.e., b will be larger than 1). Conversely, an estimate of b equal to, or smaller than 1, will provide evidence of simple habitat-filling system (Watkinson et al. 2003). We then estimated slope parameter of the linear regression of logit (occupancy) as a function of log(density+1), where occupancy and density would be alternatively based upon detectability adjusted and unadjusted estimates. RESULTS A total of 408 broods were observed on 29 wetlands out of the 85 surveyed ones (Table 2). In the Camargue stratified random sample, 13 broods were observed on 8 wetlands out of the 37 surveyed ones. Delta sampled detected occurences detected broods Observed densities/ha sites Danube 36 6 11 0,005 Camargue 40 17 42 0,175 Ebro 9 6 355 0,236 Table 2: RCP brood survey results in 2001 in the 3 study deltas Because of low prevalence in Danube delta and low number of total available wetlands in Ebro delta, RCP broods-habitat relationships within individual delta were addressed only in the Camargue (Defos du Rau et al. 2005). No clear pattern of spatial autocorrelation was apparent in any of the three deltas (Figure 2 to 4) ; number of distance lags was adjusted according to sample size in each delta. Contrary to a general macroecological expectation (Brown 1995, Watkinson et al. 2003, Guo et al. 2005) observed densities of breeding RCP are increasing from center (Danube delta) to edge (Ebro delta) of the species global range (Table 2). 15 Figure 2 : omnidirectional variogram (6 distance lags) for RCP brood occurrence in Danube delta in 2001 Figure 3 : omnidirectional variogram (8 distance lags) for RCP brood occurrence in Camargue in 2001 Figure 4 : omnidirectional variogram (2 distance lags) for RCP brood occurrence in Ebro delta in 2001 16 Occupancy modelling - Detection probability. Standard pre-defined models implemented in program PRESENCE indicated that detectability was structured in two rather than one or three groups of sites and varied between surveys (Table 3). The variable “Time” and only one spatial variable (delta identity) were therefore incorporated into the model for detection probability, as well as other habitat variables. AIC-based model comparison provided evidence that detectability increased linearly through time (tlin), was higher in Ebro delta than in the other two deltas and was positively related to water surface area (Table 4). Effect of competitor species richness on detectability, as suggested in second best model (ΔAIC=0.3), was in fact positive, thus not coherent with our a priori hypothesis. Competitor density may lead to changes in RCP behaviour. However, estimates made under the lowest-AIC model were consistent with our a priori hypotheses: this model was therefore retained for simplicity (Table 4). 17 Model Number of parameters AIC ΔAIC psi(.),p(tlin,Ebro,water) 5 295.55 0 psi(.),p(tlin,Ebro,comp) 5 295.85 0.3 psi(.),p(tlin,Ebro,%water) 5 300.33 4.78 psi(.),p(tlin,Ebro,swan) 5 301.86 6.31 psi(.),p(tlin,Ebro) 4 304.18 8.63 psi(.),p(tlin,Ebro,gull) 5 304.82 9.27 psi(.),p(tlin,Ebro,mallard) 5 305.27 9.72 psi(.),p(tlin,Ebro,harrier) 5 305.60 10.05 psi(.),p(tlin,Ebro,shore) 5 305.97 10.42 psi(.),p(tlin,Camargue) 4 309.35 13.80 2 groups, survey-specific detectability 20 314.70 19.15 psi(.),p(tlin) 3 317.81 22.26 psi(.),p(tlin,Danube) 4 318.84 23.29 2 groups, constant detectability 4 321.19 25.64 3 groups, constant detectability 6 325.34 29.79 psi(.),p(t) 10 325.47 29.92 1 group, constant detectability 2 335.29 39.74 Table 3 : model selection for RCP broods detection probability p in 2001 in the 3 study deltas, keeping occupancy probability psi constant (pre-defined models proposed in PRESENCE are in italic) 18 Parameter structure Estimate SEˆ occupancy: psi constant -0.356034 0.267197 detection: p constant -1.275112 0.393632 detection: p linear time 0.304311 0.098558 detection: p Ebro 0.532520 0.523699 detection: p water 0.760683 0.252973 Table 4 : parameter estimates for RCP broods wetlands detectability model with lowest AIC : psi(.),p(tlin,Ebro,water) - Occupancy probability. Preliminary selection of habitat variables. This analysis was performed using presence/absence data uncorrected for detection probability. In this first step, the set of candidate habitat variables identified through discriminant analysis included water surface area, shoreline index, density of swan, frequency of harrier, frequency of Myriophyllum sp. and macrophyte genus richness. This candidate set was then used for both occupancy analyses accounting (Table 5) and not accounting (Table 6) for detection probabilities. Influence of habitat variables on occupancy probability while accounting for detection probability (Table 5). In this step, we found evidence that the biogeographical factor, wetland structure, predator frequency and food resource influenced brood occupancy. In spite of very different observed abundances (Table 2), Camargue and Ebro delta did not differ in terms of occupancy probability. 19 Model Number of parameters AIC ΔAIC psi(Danube,shore,harrier,myrio),p(tlin,Ebro,water) 9 286.33 0 psi(Danube,shore,myrio),p(tlin,Ebro,water) 8 286.87 0.54 psi(Danube,shore,harrier),p(tlin,Ebro,water) 8 287.58 1.25 psi(Danube,shore),p(tlin,Ebro,water) 7 288.20 1.87 psi(Danube,Myrio),p(tlin,Ebro,water) 7 289.07 2.74 psi(Danube,harrier),p(tlin,Ebro,water) 7 290.09 3.76 psi(Danube),p(tlin,Ebro,water) 6 292.06 5.73 psi(Danube,water),p(tlin,Ebro,water) 7 292.27 5.94 psi(Danube,swan),p(tlin,Ebro,water) 7 292.87 6.54 psi(Ebro,Danube),p(tlin,Ebro,water) 7 292.88 6.55 psi(Danube,gen),p(tlin,Ebro,water) 7 293.97 7.64 psi(Ebro),p(tlin,Ebro,water) 6 294.74 8.41 psi(.),p(tlin,Ebro,water) 5 295.55 9.22 psi(Camargue),p(tlin,Ebro,water) 6 296.54 10.21 Table 5 : model selection for RCP broods wetlands occupancy probability psi in 2001 in the 3 study deltas, using best model of detection probability p previously identified, i.e. psi(.),p(tlin,Ebro,water) Influence of habitat variables on occupancy probability without accounting for detection probability. A standard logistic regression with observed presence/absence as a dependant variable was run using this set of covariates (Table 6). We were only interested in comparing the lowest-AIC model obtained in this analysis (ignoring detectability) with the lowest-AIC occupancy models taking detection probability into account. The same habitat variables influenced brood occupancy whether detection probability was accounted for or not, with the exception of the Ebro delta location effect. Results provided evidenced of the latter effect only when not accounting for detection probability (Table 6). However, contrary to standard logistic regression analysis, analysis in PRESENCE (e.g., using models of occupancy probability incorporating detection probabilities) allowed us to predict false absence sites. 20 Model Number of parameters AIC ΔAIC Danube Ebro shore harrier 5 96.86 0.00 Danube Ebro shore harrier myrio 6 97.51 0.65 Danube water shore harrier myrio 6 97.70 0.85 Danube Ebro shore swan harrier 6 97.81 0.96 Danube water shore harrier 5 97.92 1.06 Danube Ebro shore harrier gen 6 97.92 1.07 Danube shore harrier myrio 5 98.00 1.15 Ebro 4 98.07 1.21 Danube Ebro shore harrier myrio gen 7 98.27 1.41 Danube Ebro water shore harrier 6 98.30 1.44 Danube shore swan harrier myrio 6 98.37 1.51 Danube Ebro shore swan harrier myrio 7 98.44 1.58 Danube water harrier myrio 5 98.45 1.60 Ebro 5 98.54 1.69 Danube water shore swan harrier myrio 7 98.58 1.72 Danube water shore swan harrier 6 98.77 1.91 shore harrier shore harrier gen Table 6. Standard logistic regression models of lake occupancy by RCP broods in 2001 in the 3 study deltas. Only models with ΔAIC<2 are shown. Complementary selection of habitat variables. We first corrected false absence data for sites with the highest occupancy probabilities among apparent absences in order to assess whether additional habitat variables that were not selected by discriminant analysis improved the current occupancy models. We used the overall proportion of occupied sites (0.3809 ; SEˆ =0.0532) estimated from model psi(Danube,Shore,harrier,myrio), p(tlin,Ebro,water) (Table 5) to estimate the number of false RCP brood absences from the observed proportion of occupied site (0.3412). The estimated number of false absences was therefore: 85 x (0.3809-0.3412) = 3.3745. The 3 apparently unoccupied sites with highest occupancy probability estimated from the same model (psi(Danube,Shore,harrier,myrio),p(tlin,Ebro,water)) were thus re-assigned as presence in a second deltas-centered discriminant analysis which excluded the 6 habitat variables already selected by the first discriminant analysis. The new set of candidate habitat variables 21 identified through this second discriminant analysis included number of islets, competitor diversity, swan density and frequency of Potamogeton pectinatus. Complementary analysis of the influence of habitat variables on occupancy probability while accounting for detection probability. These 4 new candidate variables were incorporated into lowest AIC model psi(Danube,Shore,harrier,myrio),p(tlin,Ebro,water). The resulting models are compared in Table 7. Model Number of parameters AIC ΔAIC psi(Danube,shore,harrier,myrio,comp),p(tlin,Ebro,water) 10 284.19 0 psi(Danube,shore,harrier,myrio),p(tlin,Ebro,water) 9 286.33 2.14 psi(Danube,shore,harrier,myrio,swan),p(tlin,Ebro,water) 10 286.58 2.39 psi(Danube,shore,harrier,myrio,islet),p(tlin,Ebro,water) 10 288.25 4.06 psi(Danube,shore,harrier,myrio,pot),p(tlin,Ebro,water) 10 288.29 4.10 Table 7 : model selection for RCP broods wetlands occupancy probability psi in 2001 in the 3 study deltas, using best model of occupancy probability previously identified and new set of DA-selected habitat variables Competitor species richness (“ comp”), although not selected in the first discriminant analysis, provided substantial improvement to occupancy models (Table 7). However, we have reservations concerning the apparent influence of observed harrier frequency on RCP brood occupancy because harrier detectability was not taken into account. Assuming that use of the sampled wetland by harriers foraging around their breeding territories was random, we used the species co-occurrence model implemented in program PRESENCE (MacKenzie et al. 2004) to check whether there is a relationship between occupancy probability in the two species. Starting from the already known detection and occupancy models for RCP broods, we addressed spatial effect of delta and open water area, as well as time effect on the probability harrier was present and detected. We addressed the effect of breeding habitat (reedbed) area, of wetland structure at the landscape scale (mean distance to 5 closest wetlands) and of RCP competitors as index for harrier prey diversity on wetland use by harrier. The resulting model was re-run under specified co-use independency assumption (Table 8). This latter model proved more performance (AIC = 675.77) than the model without constraint of co-use independency (ΔAIC = 3.73). This suggests that the apparent interaction 22 between RCP broods and harrier is spurious. Indeed, harrier frequency and RCP brood occupancy were likely to be affected by the same confounding variable (“comp”). Consequently, we discarded the variable « harrier » from best identified RCP occupancy models. For comparison purpose, we also ran the best habitat variable set identified without taking detectability into account (Table 6), including both delta effects, shore indentation and harrier frequency. The final RCP brood occupancy model selection is shown in Table 9. Wetland occupancy probability by RCP broods is lower in Danube delta than in the other two deltas (Table 10) and decreases as frequency of Myriophyllum sp increases. Occupancy probability also increases with shore indentation and waterbird species richness. We did not find evidence of lack of fit of the most global model (using 10000 bootstrap samples : χ² = 396.39, p = 0.53;ĉ=0.63). For validation purpose, the lowest AIC occupancy model was run on the Camargue test set : its predictive power proved satisfactory, considering that test and training sample sets were different (Figure 5). 23 Model Number of parameters AIC ΔAIC same model as preceeding but with independent occupancy by harrier and RCP 15 675.77 0.00 psiRCP(Danube,shore,myrio,comp)harrier(comp,mdist),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 16 679.50 3.73 psiRCP(Danube,shore,myrio,comp)harrier(comp),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 682.44 6.67 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 14 684.76 8.99 psiRCP(Danube,shore,myrio,comp)harrier(mdist),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 684.89 9.12 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin,Ebro,Danube) 15 685.45 9.68 psiRCP(Danube,shore,myrio,comp)harrier(Danube),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 685.97 10.20 psiRCP(Danube,shore,myrio,comp)harrier(reed),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 686.03 10.26 psiRCP(Danube,shore,myrio,comp)harrier(Camargue),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 686.05 10.28 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin,Ebro,water) 15 686.74 10.97 psiRCP(Danube,shore,myrio,comp)harrier(Ebro),pRCP(tlin,Ebro,water)harrier(tlin,Ebro) 15 686.93 11.16 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin,Camargue) 14 697.62 21.85 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin) 13 701.82 26.05 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(tlin,Danube) 14 703.35 27.58 psiRCP(Danube,shore,myrio,comp)harrier(.),pRCP(tlin,Ebro,water)harrier(.) 12 703.50 27.73 Table 8 : RCP broods and harrier co-occurrence model selection ; probabilities of presence and detection p and of wetland use psi are estimated for both species in 2001 in the 3 study deltas, with same detection probabilities wether the co-occuring species is present or not (see MacKenzie et al. 2004). 24 Model Number of parameters AIC ΔAIC best model after co-occurrence analysis: psi(Danube,shore,myrio,comp),p(tlin,Ebro,water) 9 283.31 0.00 best model after 2nd DA: psi(Danube,shore,harrier,myrio,comp),p(tlin,Ebro,water) 10 284.19 0.88 best model after 1st DA: psi(Danube,shore,harrier,myrio),p(tlin,Ebro,water) 9 286.33 3.02 best model without taking detection probability into account: psi(Danube,Ebro,shore,harrier),p(.) 6 323.03 39.72 Table 9 : final model selection for RCP broods wetlands occupancy probability psi in 2001 in the 3 study deltas. DA = Discriminant Analysis. 25 Parameter structure Estimate SEˆ occupancy: psi constant 0.014860 0.352889 occupancy: psi Danube -1.5605050.657462 occupancy: psi shore 0.701763 0.361045 occupancy: psi myrio -0.4189540.317578 occupancy: psi comp 0.669753 0.296604 detection: p constant -1.0564920.379243 detection: p linear time 0.278029 0.097812 detection: p Ebro 0.419010 0.513534 detection: p water 0.770545 0.250053 Table 10 : parameter estimates for RCP broods wetlands occupancy model with lowest AIC : psi(Danube,shore,myrio,comp),p(tlin,Ebro,water) 1 0,9 true positive rate 0,8 0,7 0,6 0,5 0,4 0,3 0,2 0,1 0 0 0,2 0,4 0,6 0,8 1 false positive rate Figure 5 : ROC curve for the Camargue test set occupancy predicted using the best model identified on the 3-deltas training set, i.e. : psi(Danube,shore,myrio,comp),p(tlin,Ebro,water) 26 Abundance modeling - Detection probability. The double-sampling scheme performed on 10 Camargue wetlands produced individual encounter histories for 29 RCP broods, capture probabilities of which were best modeled with total densities of likely competitors or habitat surface areas. Because of the small sample size, we used the lowest AICc model to predict RCP brood detection probabilities (Table 11). The total surface area (water+vegetation areas) of each sampled wetlands in the three deltas was therefore used as a covariate of the detectability p of individual RCP brood on the corresponding wetland the following relationship : logit(p) = -0.8476429 + 1.7986725*(total wetland surface area) Model Number of parameters AICc ΔAICc {S(t),g''(.),g'(.),p(.,.,water+veg)=c(.,.,water+veg)} 8 238.00 0.00 {S(t),g''(.),g'(.),p(.,.,compdens)=c(.,.,compdens)} 8 238.90 0.89 {S(t),g''(.),g'(.),p(.,.,water)=c(.,.,water)} 8 239.27 1.26 {S(t),g''(.),g'(.),p(.,.)=c(.,.)} 7 239.90 1.90 {S(t),g''(.),g'(.),p(.,.,comp)=c(.,.,comp)} 8 241.32 3.31 {S(t),g''(.),g'(.),p(.,.,gull)=c(.,.,gull)} 8 241.62 3.61 {S(t),g''(.),g'(.),p(.,.,%water)=c(.,.,%water)} 8 241.95 3.94 {S(t),g''(.),g'(.),p(.,.,shore)=c(.,.,shore)} 8 242.25 4.25 {S(t),g''(.),g'(.),p(T,.)=c(T,.)} 11 243.40 5.39 {S(t),g''(t),g'(.),p(T,.)=c(T,.)} 14 244.65 6.65 {S(.),g''(.),g'(.),p(T,.)=c(T,.)} 8 247.53 9.52 {S(t),g''(t),g'(t),p(T,.)=c(T,.)} 16 251.00 12.99 {S(t),g''(t),g'(t),p(T,t)=c(T,t)} 26 272.17 34.17 {S(t),g''(t),g'(t),p(T,t),c(T,t)} 36 328.95 90.94 Table 11 : huggins’ Robust-design modelling of survival, temporary emigration and immigration, and capture probabilities of RCP broods in 2001 in the Camargue delta. S: survival rates, g” : temporary emigration, g’ : temporary immigration, p : capture and c : recapture probabilities. 27 - Abundance. We did not include frequency of harrier as a covariate of the detectability-adjusted abundances (due to its spurious relationship with brood occupancy; see above). Since there were several competing models with close AIC values, we only reported respective weights of the variables composing the models with ΔAIC<3 (Figures 6 to 8). 1,00 0,80 0,60 0,40 0,20 0,00 Danube water myrio Ebro harrier shore swan gen Figure 6 : AIC-weights supporting the habitat variables composing the ΔAIC<3 poisson regression models for RCP brood unadjusted abundances in the three deltas in 2001 We did not find evidence of substantial lack of fit of the most global habitat model for unadjusted abundances ( ĉ=0.85). The Danube delta was under-populated compared to both other deltas. The largest abundance was found in the Ebro delta. Water area had a positive effect on RCP brood abundance and frequency of Myriophyllum sp. a negative one (Table 12). Other variables were of lesser importance for abundance prediction. 28 estimate parameter SEˆ Wald stat. p intercept -1.52 0.48 9.90 0.0017 Outside Danube 0.72 0.28 6.73 0.0095 Outside Ebro -0.58 0.34 2.91 0.0883 water 0.00 0.00 2.95 0.0859 shore 0.18 0.19 0.86 0.3527 swan -1.27 1.33 0.91 0.3408 harrier 0.54 0.33 2.67 0.1023 myrio -0.02 0.02 2.25 0.1336 gen 0.14 0.19 0.52 0.4690 Table 12 : parameter estimates for RCP broods unadjusted abundance model. 1 0,8 0,6 0,4 0,2 t po at er w ge n Eb ro et isl m yr io sw an m p co or e sh Da n ub e 0 Figure 7 : respective AIC-weights supporting the habitat variables composing the ΔAIC<3 poisson regression models for RCP brood adjusted abundances in the three deltas in 2001 Models of detectability-adjusted abundances provided evidence of substantially different importance of several habitat variables compared to the unadjusted abundance models (Figure 7). Density of swan broods proved to be of major importance as RCP brood abundance covariate, so we re-addressed the hypothesis of an inter-specific interaction using the cooccurrence models developed by Mackenzie et al. (2004), assuming demographic closure of 29 swan brood populations. We incorporated most of the same habitat variables for swan occurrence as for RCP broods except that, as a highly territorial species, we expected a positive influence of competitor diversity on swan detectability, but no influence on wetland occupancy. Neither did we expect any effect of predators on brood abundance because the species is of relatively large size. Starting from the already known detection and occupancy models for RCP broods, we addressed spatial effect of delta, shoreline indentation and open water area, as well as time effect on swan brood detection. We added islet numbers, as well as macrophyte frequency as potential covariates of swan brood occupancy. Best resulting model was re-ran under specified co-use independency assumption (Table 13). This latter model proved more performance (AIC= 474.31) than the model without constraint of co-use independency (ΔAIC=2.95). Again, this result suggests that the apparent interaction between RCP broods and swan broods results from independent habitat selection processes in the two species. Consequently, we discarded the variable « swan » from RCP brood abundance analyses (Figure 8). Model same model as preceeding but with independent occupancy by swan and RCP psiRCP(Danube,shore,myrio,comp)swan(Danube),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,water),pRCP(tlin,Ebro,water)B(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Ebro),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,myrio),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,pot),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,shore),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Ebro,Danube),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,gen),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Danube,islet),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp)swan(Camargue),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,comp) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,shore) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,%water) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,water) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,gull) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Camargue) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Danube) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(Ebro,Danube,harrier) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(.) psiRCP(Danube,shore,myrio,comp),pRCP(tlin,Ebro,water)swan(tlin) # parameters AIC 15 16 17 16 17 17 17 17 17 17 16 15 15 15 14 15 15 13 13 13 15 12 13 474.31 477.26 477.56 478.03 479.17 481.61 481.72 482.37 482.78 486.88 493.85 494.27 497.07 499.91 504.17 505.28 505.54 506.75 506.77 506.82 510.48 510.93 512.04 delta AIC 0.00 2.95 3.25 3.72 4.86 7.30 7.41 8.06 8.47 12.57 19.54 19.96 22.76 25.60 29.86 30.97 31.23 32.44 32.46 32.51 36.17 36.62 37.73 Table 13 : RCP broods and swan brood co-occurrence model selection ; probabilities of presence and detection p and of wetland use psi are estimated for both species in 2001 in the 3 study deltas, with same detection probabilities wether the co-occurring species is present or not (see MacKenzie et al. 2004). The same four variables than in the final occupancy model clearly stood out as abundance covariates, shore indentation and waterbird guild richness being positive factors, and Danube 30 delta and high Myriophyllum sp frequency corresponding to decreased abundances (Table 14). The most global habitat model for adjusted abundances showed a good fit to the data, with only minimal over-dispersion: ĉ=1.15. 1,0 0,8 0,6 0,4 0,2 t po le t is n ge er wa t ro Eb yr io m m p co or e sh D an ub e 0,0 Figure 8 : respective AIC-weights supporting the habitat variables composing the ΔAIC<3 poisson regression models for RCP brood adjusted abundances in the three deltas in 2001 parameter group-level estimate SE Wald stat. intercept p -2.42 0.49 24.46 0.0000 0.98 0.21 20.80 0.0000 shore 0.45 0.16 8.12 0.0044 comp 0.34 0.08 15.58 0.0001 myrio -0.02 0.01 4.22 0.0399 Danube 0 Table 14 : parameter estimates for most supported model for RCP broods adjusted abundance Macroecological hypotheses - Are occupancy and abundance decreasing from center (Danube delta) to edge (Ebro delta) of the species global range (Brown 1995, Watkinson et al. 2003, Guo et al. 2005) and from preserved to degraded breeding areas? Both occupancy (Figure 9) and abundance (Figure 10) models indicated a clear decrease in presence probability and population density 31 of breeding RCP in Danube delta compared to both other deltas. The hypothesis of a decrease in occupancy and abundance from center to edge of the species range was thus not corroborated for the RCP breeding area encompassing Western and Eastern Europe. Models for unadjusted abundance (Figures 6 & 11) suggested an increase in Ebro delta that was not confirmed when detectability was taken into account (Table 9, Figures 8 & 10). ajusted occupancy rate 1,0 0,8 0,6 0,4 0,2 0,0 Danube Camargue Ebre Figure 9 : wetlands occupancy rates by RCP in Danube, Rhône and Ebro deltas in 2001 breeding population density(/ha) predicted by the lowest-AICc detection-occupancy model (Table 9) 0,8 0,6 0,4 0,2 0,0 Danube Camargue Ebre -0,2 Figure 10 : RCP breeding population sizes/ha (and densities confidence interval) in Danube, Rhône and Ebro deltas in 2001 adjusted for detectability 32 breeding population density(/ha) 0,4 0,2 0,0 Danube Camargue Ebre -0,2 Figure 11 : RCP breeding population sizes/ha (and densities confidence interval) observed in Danube, Rhône and Ebro deltas in 2001 - Is there habitat overfilling due to habitat loss ? At European scale (Table 15) as well as at West Mediterranean scale (Table 16), several models accounting for different hypotheses for the habitat availability-RCP brood abundance relationship were supported by the data : several polynomial and linear models had ΔAICc<2. However, the hypothesis of a departure from linearity (i.e., proportionality) in habitat filling by RCP broods was clearly not excluded for the habitat-abundance model. The positive slope parameter estimate for reedbed² in the lowest AICc model (0.00310: 95% CI = [0.00163 ; 0.00457]) provided evidence of potential overfilling of reedbeds habitat by nesting RCP. This may reflect a relative and current loss of reedbed (i.e., RCP nesting habitat) at European scale. Model AICc ΔAICc reedbed² Ebro*reedbed 275.08 0.00 reedbed Ebro*reedbed 275.19 0.11 reedbed Ebro*reedbed² 276.56 1.48 Ebro*reedbed² 277.05 1.97 reedbed Danube*reedbed² Ebro*reedbed 277.12 2.04 reedbed Ebro*reedbed Table 15: best reedbed area linear regression models for adjusted brood abundance in n=32 lakes occupied or predicted to be occupied in the Danube, Ebro and Camargue deltas in 2001. 33 Model AICc ΔAICc reedbed² Ebro*reedbed 230.25 0.00 reedbed Ebro*reedbed 230.37 0.12 reedbed Ebro*reedbed² 230.90 0.65 Ebro*reedbed Ebro*reedbed² 231.01 0.76 reedbed 231.09 0.84 reedbed² 231.19 0.94 reedbed reedbed² 232.10 1.85 reedbed Ebro*reedbed Ebro*reedbed² 232.51 2.26 Table 16: best reedbed area linear regression models for adjusted brood abundance in n=26 lakes occupied or predicted to be occupied in the Ebro and Camargue deltas in 2001 Interestingly, however, if we consider unadjusted brood abundance, the influence of reedbed area would have unambiguously indicated a clear linear habitat filling pattern (Tables 17 & 18). Had we relied on these results to draw inferences about habitat loss, the hypothesis of a current habitat loss would not have been supported because brood abundance would simply be proportional to available reedbed area (and broods would not be packing into larger patches). Using abundances uncorrected for detectability may thus hamper early detection of the influence of habitat loss on RCP brood abundance. Model reedbed Ebro*reedbed reedbed Danube*reedbed Ebro*reedbed AICc ΔAICc 239.12 0.00 241.78 2.66 Table 17: best reedbed area linear regression models for uncorrected brood abundance in n=29 lakes observed to be occupied in the Danube, Ebro and Camargue deltas in 2001 Model reedbed Ebro*reedbed reedbed reedbed² Ebro*reedbed AICc ΔAICc 196.66 0.00 199.61 2.95 Table 18: best reedbed area linear regression models for uncorrected brood abundance in n=23 lakes observed to be occupied in the Ebro and Camargue deltas in 2001 34 - Assuming source-sink dynamics (Pulliam & Danielson 1991, Brown 1995) and dispersal among sites due to habitat overfilling, does occupancy probability of low quality patches (sink) increase as distance to nearest high-quality patch (source) decreases? Best occurrence threshold identified by ROC curve was 0.4 for both standard and detectabilityadjusted occupancy prediction on the training set. This threshold was used to discriminate between favorable and unfavorable habitat patches. We addressed the influence of distance from the nearest high-quality patch on occupancy probability only in the Camargue, where densities are the highest and where a habitat overfilling effect is thus most likely to occur, as suggested above. In the Camargue, occupancy of low quality patches (sink habitat) is best accounted for by distance to nearest high-quality patch (source) (parameter estimate: -2.15 95% CI = [-4.79 ; 0.50]): Likelihood-ratio test : χ 2 = 4.23 ; p = 0.04 ; df = 1 ; ĉ = 1.038 for best model in table 19. Dispersal from source to sink habitat may explain this pattern. Model Number of parameters AICc ΔAICc distance to closest source (including false-absences) 2 19.64 0.00 adjusted occupancy 2 21.86 2.22 3 22.03 2.39 adjusted occupancy & distance to closest source (including falseabsences) Table 19: logistic regression models for RCP brood occurence in n=18 unfavorable patches in the Camargue in 2001 after accounting for detection errors Interestingly, when using unadjusted occupancy rates and distances to source patches, RCP occurrence in unfavorable patches is not well predicted by distance to favorable ones : Likelihood-ratio test : chi²=0.76 ; p=0.38 ; c-hat=1.126 for lowest AIC-model in table 20. 35 Model Number of parameters AICc ΔAICc distance to closest source (excluding false-absences) 2 30.24 0.00 unadjusted occupancy 2 31.00 0.76 3 32.90 2.65 unadjusted occupancy & distance to closest source (excluding falseabsences) Table 20: logistic regression models for RCP brood occurence in n=23 unfavorable patches in the Camargue in 2001 without accounting for detections errors - Is there a metapopulation dynamics, due to possible source-sink process, in the Camargue subpopulation? We tried to discriminate between metapopulation and habitatfilling dynamics in the highest-density subpopulation where a source-sink dispersal effect was furthermore suspected. The linear regression of logit-tranformed adjusted occupancy as a function of log-transformed adjusted density (r = 0.31 ; p = 0.049) had an estimated slope b̂ = ∧ 0.90 ( SE = 0.44). This suggests the existence of a habitat-filling process predominating in the RCP brood distribution in the Camargue. When using unadjusted occupancy and density, the linear relationship between those two variables (r = 0.18 ; p = 0.271) had an estimated slope ∧ b̂ =0.97 which was both close to one and not well estimated ( SE = 0.87). DISCUSSION There are relatively few large-scale habitat surveys for rare species, notably because of difficulties in collecting sufficient presence data as well as in obtaining valid/confirmed absence data (Engler et al. 2004, Guisan et al. 2006). Although making inferences only from presence data is now a well-developped approach (Engler et al. 2004), using confirmed absence data is often preferable, especially when false-absence can be identified and eliminated, and absence data are thus reliable ones (Brotons et al. 2004). Furthermore, abundance estimated without accounting for detection is likely to be biased. In this respect, estimating detection errors is a crucial prerequisite of any habitat analysis using absence and abundance data (Defos du Rau et al. 2005, MacKenzie et al. 2006), as admitted by Décarie et al. (1995) in a very similar study but assuming perfect detection. 36 Importance of detection issues to identify limiting factors Not taking imperfect detection into account would have erroneously led us to consider wetland size and swan density as factors affecting brood abundance (Table 21). The relative lack of influence of wetland size on brood abundance was counter-intuitive and would not have been acknowledged without taking detectability into account. Indeed, relationships between duck reproduction and patch size may not be straightforward (Mack & Flake 1980). For example, duck nest success was found to be equivalent in small and large patches as a result of interaction between patch size and predation (Horn et al. 2005). Without taking detectability into account, our result might also have contributed to oversimplify the debate on the commonly assumed but not clearly demonstrated spatial competition impact of mute swan on other breeding ducks (Conover & Kania 1994). Both these factors might have been erroneously acted upon by managers of RCP wetlands (e.g. by preventing swan from breeding in specific RCP breeding areas) with probably few costeffective results on RCP reproduction. Both RCP brood occupancy and abundance analyses taking detectability into account provided evidence of the importance of the same four variables: positive effects of shore indentation and waterbird diversity, and negative effects of Danube delta and frequency of Myriophyllum sp. - Danube: Contrary to a general macroecological prediction (Brown 1995, Watkinson et al. 2003, Guo et al. 2005), breeding RCP occupancy and density increased from the centre toward the edge of its global distribution area, Red-crested Pochard being originated from Central Asia (Gay et al. 2004). This was all the more counter-intuitive as Danube delta was considered a traditional stronghold of the species (Tucker & Heath 1994) and a much more preserved ecosystem than both other largely reclaimed and degraded deltas. This pattern was fully demonstrated by both occupancy and abundance models and suggests that Danube might be in fact at the edge of the Central Asian or the West European population or situated within an intermediate, possibly reduced third population (Figure 1). Low densities observed for this Eastern European and Black Sea population might increase its extinction risk. Further field surveys and genetic studies are thus needed to identify putative limits of those populations so that a total population size can be monitored over a known range and thus possibly harvested in a more sustainable way (Gay et al. 2004). Effect of Ebro delta on occupancy or 37 abundance predictions was weak, suggesting comparable levels of occupancy and abundance in both Camargue and Ebro deltas, in spite of the much larger numbers observed in the latter. - As expected and known for long by wetland managers, shore indentation positively influenced brood occupancy and abundance. Atiénzar et al. (2005) have shown that both presence and abundance of another Mediterranean rare duck, the White-headed Duck Oxyura leucocephala, during breeding season, were also primarily and positively affected by shoreline indentation. Naturaly shaped shoreline should thus be preferred to dikes and embankments of recreated or partially reclaimed water bodies. Water levels variations should contribute to shoreline irregularities. - Frequency of Myriophyllum negatively affected brood occupancy and abundance. This macrophyte is not known as a preferred food resource (Snow and Perrins, 1998), and is indicative of relatively constant water level (Grillas 1992), as opposed to temporary and irregular flooding regime of typical naturally functioning Mediterranean wetlands. Negative effect of Myriophyllum frequency probably suggests preference for irregular water regime rather than real avoidance of this macrophyte. Myriophyllum is a highly competitive and productive colonizing genus favoured by low variability of water levels, which decreases macrophytes species richness (Grillas, 1992), and thus leads to decreased diversity and quality of preferred RCP food. Negative effect of Myriophyllum sp frequency was potentially important at both local (Defos du Rau et al. 2005) and European scales and in spite of using unadjusted frequency estimates for this food resource, its impact on RCP occupancy and abundance appears consistent. - RCP competitor species richness was of major importance as a covariate of both occupancy and abundance but would have gone undetected without preliminary analyses of detection and particularly false absence. Under the terminology of Wilson (1999), this group of species could have been considered as a spatial distribution Beta guild of Mediterranean wildfowl or as a Alpha guild of nesting and foraging wetland birds. We primarily used the latter definition to model competition strengh, as it is a major driver in the Alpha guild composition (Wilson 1999). However, we did not observe the expected negative effect on brood occupancy and abundance; on the contrary, our results provided evidence of a positive effect of competitor species richness. This probably refers to a spatial distribution Beta guild and may indicate a tendency of RCP to breed more often and more densely among rich wildfowl guilds, possibly because of confounding habitat features (Guisan & Thuiller 2005) like e.g. 38 low predation rate (Horn et al. 2005) or complex vegetation structure increasing niche diversity. supported after detection effect supported wrongly without adjustment sign detection adjustment sign composition shore indentation + water area + food resources Myriophyllum sp - competitors diversity + swan density - harrier frequency + Ebro + water management habitat landscape competition predation delta Danube - range density cline Danube<Camargue & Ebro Camargue<Ebro possibly in the Camargue habitat loss & Ebro no possibly in the Camargue no habitat filling ? macroecology source-sink dispersal distribution dynamic Table 21: summary of difference in results computed with and without taking detection into account We did not find any autocorrelated spatial pattern in occupancy, and our brood occupancy model appeared to have satisfactory predictive power on a global and regional scale. However, in the Camargue, distance to closest source patch appeared to be a better occupancy covariate in unfavorable patches than habitat, which suggests some marginal spatial autocorrelation at the local landscape scale, contrary to the regional scale. Part of the omission errors of our predictive model in the Camargue (e.g. Figure 5) may thus be explained by this 39 source-sink dynamics (Guisan & Thuiller 2005), with brood occurring in low-quality patches. Prediction performance evaluated in the Camargue by area under curve in figure 5, yet satisfactory, is thus probably an underestimate of the genuine predictive power of our model. Although inferred from a reduced data set, our results suggest that there might be a current depletion/loss in RCP breeding habitat in both West-European deltas, which are regional RCP strongholds. This habitat loss may cause habitat overfilling, which may in turn lead to sourcesink dynamics that we suspected to occur in the Camargue. However, this consistent pattern requires further studies to be confirmed because it is inferred from a small data set. Furthermore, this would suggest that the RCP breeding population functions as a metapopulation, which detectability-unadjusted analysis would have wrongly contributed to maintain as a competing hypothesis ( b̂ =0.97). However, the metapopulation hypothesis was not corroborated by our detectability-adjusted analysis based on data from the Camargue. Our analyses provided stronger support for the hypothesis of Habitat-filling model in this location. It is important to note that we would not have detected this habitat loss pattern (inducing source-sink dynamics) if we had used data unadjusted for detectability. Management recommendations Natural habitat loss in Mediterranean wetlands remains a well studied issue but still not a well addressed one : it is urgent to stop wetland destruction and fragmentation. Nearly 30,000 ha of wetland habitats have been reclaimed in the Camargue during the last 30 years (Tamisier and Grillas, 1994) and 16% of the Danube delta has been reclaimed, mostly for agriculture and forestry between 1980 and 1989 (Munteanu 1996). Although many warnings and recommendations have been issued against wetlands reclamation, it is still currently occurring in the Camargue (Mathevet and Tamisier, 2002), albeit at a slower pace in recent years. The 3 habitat factors identified as relevant to wetland use by breeding RCP all point toward a unique recommandation that is to maintain naturally-functioning ecosystems of Mediterranean wetlands: - to maximise shore indentation, original wetland shape must be conserved or restored, which involves avoiding dikes and embankments. Dikes and embankments are of increased use in Mediterranean wetlands to increase water control and reduce water level variability (Aznar et al. 2003). 40 - to minimise frequency of Myriophyllum sp, water levels can be left uncontrolled or can mimic naturally varying flooding conditions, including temporary drying-offs in summer - to maximise species richness of wildfowl guild, a minimum disturbance on a maximum natural habitat area is required during breeding season More generally, it seems that the best management option would be to minimise management interventions, i.e. to minimise disturbance or transformation of the natural Mediterranean wetland ecosystem. A further option for water management of wetlands from within the three study deltas might be to mimic natural water levels of the river in order to reproduce natural hydrological conditions including water level variations, temporary flooding and shore shaping due to successive flooding. Lastly, low densities observed and modelled in the Danube delta former stronghold are a case for concern; first estimates of harvest rates and regional population size are urgently required through field surveys including aerial ones. Genetic analysis quantifying movement of individuals between this eastern European and Black sea breeding (sub)population to the West-European or to the Central Asian populations are urgently needed, also to examine whether this potential Black Sea population is an isolated conservation unit. Perspectives for approach improvement As expected at such a large, regional scale, biotic interactions like competition or predation did not appear to influence breeding RCP occupancy and abundance (Guisan & Thuiller 2005). Only one competition index, guild species richness, was retained in occupancy and abundance models, but as a positive factor contrary to the a priori hypothesis. This variable can in fact be used as an index of habitat area (r²=0,28) but also of ecosystem richness/integrity/complexity and would need to be adjusted to species detectability to be used as such (Cam et al. 2002), which is beyond the scope of the present work. Indeed, wildfowl guild species richness may be biased by detection imperfections which may have had consequences on our brood habitat models. However, we did not correct observed species richness of the wildfowl guild for species detectability because we assumed that only most abundant and widespread, thus most visible species (Royle & Nichols 2003) would potentially be effective competitors of RCP broods for space and food resources. Densities of these most abundant competitor species were indeed included in our analyses (Appendix) although we did not find evidence of their effect on either RCP occupancy or abundance. 41 We did not use any recently developed capture-recapture-based abundance models (Royle & Nichols 2003, Royle 2004) to estimate RCP population size from point-count data on each of the 85 wetlands because of high abundance (and thus detection) heterogeneity between and within deltas combined with relatively small sample size. To correct local abundance estimates for detection errors, we used a simpler approach based on a Pollock’s Robust Design implemented previously in Camargue (Defos du Rau et al. 2005). Lastly, improving prediction accuracy should be possible by increasing sampling effort (Hirzel & Guisan 2002), e.g. in Danube delta and extending it in Volga delta, although our sampling effort might already be considered satisfactory in space (Stockwell & Peterson 2002) and time (MacKenzie & Royle 2005) and our sampling design met recommendations for systematic sampling (Hirzel & Guisan 2002) and niche-based design (Guisan et al. 2006). Conclusion Studying species-habitat relationship becomes more and more complex as issues like e.g. spatial autocorrelation or sampling design are considered of major relevance and statistical inference tools are developed (Guisan & Thuiller 2005 for a review). Species detection probability is one of these issues that have received a lot of attention since publication of papers by e.g. Bibby & Buckland (1987) and more recently Nichols et al. (2000), MacKenzie et al. (2002), Pollock at al. (2002), and Thompson (2002). As shown by several theoretical and simulation studies (Moilanen 2002, MacKenzie et al. 2006), the detection issue (including the false-absence one) has the potential to call several conclusions drawn in the past into question, not only on species monitoring, but also on species-habitat surveys and on species dynamic and macroecology. The present work is, to our knowledge, one of the first observational approaches based on data that corroborates and quantifies the impact of accounting for detection in macroecology analyses (but for inferences on habitat use see MacKenzie 2006, Defos du Rau et al. 2005, Vojta 2005, and following articles from the special section of Journal of Wildlife Management 69 on value and utility of presenceabsence data to wildlife monitoring and research). We reached substantially different conclusions on breeding RCP habitat use and macroecology whether we took detection into account, or not. 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Appendix wetland structure & habitats food water managnt. predators competitors space response abbreviation brood presence or absence potentially affecting detection log-transformed 0 or 1 brood abundance Danube Ebre competitors diversity density of coot broods density of mallard broods density of gadwall broods density of swan broods density of grebe broods frequency of gulls frequency of harriers frequency of magpies frequency of crows observed maximum water depth spring water level before May spring water level in May spring water level in June spring water level in July SD of water level from March to July frequency of Myriophyllum sp. frequency of Potamogeton pectinatus macrophyte genus richness mean distance to 5 closest lakes distance to closest lake water surface area reedbed surface area Arthrocnemum beds surface area Scirpus beds surface area total vegetation surface area number of islets area of islets % free water area (detection only) shoreline index value # of broods Danube Ebro comp coot mallard swan grebe gull harrier magpie crow myrio pot gen mdist water reed veg islet %water shore 0 or 1 0 or 1 # of species broods/ha broods/ha broods/ha broods/ha broods/ha mean # of indiv/30min mean # of indiv/30min mean # of indiv/30min mean # of indiv/30min cm. cm. cm. cm. cm. cm. % % # of genus m. m. ha. ha. ha. ha. ha. # of islets ha. perimeter/2(π.area)½. yes+1 X X X X X X X X X X X X X 49 Chapter 5 Molecular Ecology (2004) 13, 1035– 1045 doi: 10.1111/j.1365-294X.2004.02117.x Phylogeography of a game species: the red-crested pochard (Netta rufina) and consequences for its management Blackwell Publishing, Ltd. L . G A Y ,* P . D E F O S D U R A U ,† J . - Y . M O N D A I N - M O N V A L † and P . - A . C R O C H E T ‡ *CEFE-CNRS, 1919 route de Mende, F-34293 Montpellier cedex 5, France, †Office National de la Chasse et de la Faune Sauvage, CNERA Avifaune Migratrice, Le Sambuc, 13200 Arles, France, ‡Laboratoire de Biogéographie et Ecologie des Vertébrés, EPHE, box 94, Université Montpellier II, 34095 Montpellier cedex, France Abstract Western European populations of red-crested pochard (Netta rufina) are characterized by low size and high fragmentation, which accentuate their sensitivity to hunting. Uncertainties regarding the demographic trends of these populations highlight the need for pertinent hunting regulations. This requires identification of the limits of the populations under exploitation, i.e. delimiting a management unit. We used the left domain of the mitochondrial control region and seven nuclear loci (four microsatellites and three introns) to assess the level of genetic structure and demographic independence between the fragmented Western European and the large Central Asian populations. The second objective was to investigate the colonization history of the Western European populations. This study demonstrated that the Western European populations of red-crested pochard constitute a separate demographic conservation unit relative to the Asian population as a result of very low female dispersal (mitochondrial DNA: ΦST = 0.152). A morphometric analysis further suggested that Central Asian and Western European specimens of both sexes originate from different pools of individuals. Male dispersal seems higher than female dispersal, as suggested by the lack of clear genetic structure for the nuclear markers at this continental scale. Genetic data, in conjunction with historical demographic data, indicate that the current Western European populations probably originate from a recent colonization from Central Asia. As numbers of red-crested pochards in Western Europe cannot be efficiently supplemented by immigration from the larger Asian populations, a management plan regulating the harvest in Western Europe is required. Keywords: birds, control region, management unit, microsatellites, nuclear introns, phylogeography Received 16 October 2003; revision received 8 December 2003; accepted 8 December 2003 Introduction Securing the local persistence of a species requires testing for demographic isolation, which identifies sets of populations whose dynamics are not significantly affected by influences from adjacent populations. These units are often called management units (MUs; Moritz 1994; Fraser & Bernatchez 2001). This concept is crucial in the case of exploited populations for which we have to identify those sets of populations that will be affected by human harvest and thus evaluate the impact of exploitation (e.g. Ruzzante et al. 2000; Koljonen 2001). The degree of demographic isolation is determined by the occurrence of dispersal Correspondence: Laurène Gay. E-mail: [email protected] © 2004 Blackwell Publishing Ltd among populations. Genetic methods can provide an indirect estimate of dispersal, even if an absence of genetic differentiation does not necessarily imply a high level of dispersal (for example in the case of recently isolated populations, see Whitlock & McCauley 1999). Therefore, Moritz (1994) advocated recognizing as MUs ‘populations with significant divergence of allele frequencies at nuclear or mitochondrial loci’. The red-crested pochard (Netta rufina, Aves, Anseriforme) is a diving duck with a vast Palearctic range extending from Western Europe to Central Asia (Scott & Rose 1996) (Fig. 1). It is one of the least abundant of the Western Palearctic waterfowl species (Anatidae) (Scott & Rose 1996; Dehorter & Rocamora 1999). Hunting is nevertheless allowed in Spain, Portugal and France, resulting in an annual 1036 L . G A Y E T A L . Fig. 1 Distribution of the red-crested pochard, Netta rufina, in Eurasia (after Scott & Rose 1996). Shaded areas indicates the breeding distribution. Filled circles indicate sampling sites: 1, Donana; 2, Ebrodelta; 3, Camargue; 4, Dombes; 5, Constance Lake; 6, Volga delta; 7, Kazakhstan. Shaded lines indicate population boundaries (broken line: uncertain) (outlining the breeding, wintering and migration range). harvest estimated at 8000 birds (Shedden 1986). The uncertainties regarding the evolution of the population size and the fragmentation of the distribution range in Western Europe highlight the need for an international action plan, including proposals for sustainable hunting (Defos du Rau 2002). This requires that the impact of hunting be estimated, which necessitates identification of the limits of the exploited populations. Based on census data and ringing recoveries, three distinct population groups have been postulated (Fig. 1) (Monval & Pirot 1989; Scott & Rose 1996). The first group (hereafter described as ‘Western European populations’) occupies the western Mediterranean region and western and central Europe, with an estimated wintering population size of 50 000 birds (Delany & Scott 2002). The second group (‘Eastern European populations’) inhabits the area of the Black Sea and eastern Mediterranean basins, with a wintering population size of 20 000 – 43 500 birds (Delany & Scott 2002). The third population group (‘Central Asian populations’) occupies the steppe areas from the Caspian Sea to Mongolia and western China and is estimated at 250 000 individuals (Delany & Scott 2002). The Western European breeding range is highly fragmented and comprises apparently isolated small-sized subpopulations (Hagemeijer & Blair 1997), while the distribution in the eastern part of the global range appears more continuous. The Western European populations are sedentary or short-distance migrants (within the Mediterranean basin), while the eastern populations migrate longer distances. Wintering areas for the three populations are clearly separated from each other (Cramps & Simons 1977; Saez-Royuela 1997). As for other birds presenting the same type of distribution (dense populations in Asia and fragmented subpopulations in Western Europe; Cramps & Simons 1977), the distribution of the red-crested pochard may result from: (i) recent colonization of Western Europe by individuals from further east, or (ii) fragmentation of a previously continuous distribution range. Historical data suggest that the species colonized Western Europe in the late nineteenth century (Mayaud 1966; Cramps & Simons 1977; Hagemeijer & Blair 1997). The genetic study of Western European and Central Asian populations would allow us to evaluate this hypothesis. The first objective of this work was to investigate the amount of gene flow between Western European and Central Asian populations of red-crested pochard. A significantly reduced gene flow would indicate a currently essentially independent demographic functioning of the Western European populations relative to the much larger Asian populations. The second objective was to understand the biogeographical history of the red-crested pochard. Using genetic data, it is not possible to distinguish ancient fragmentation from colonization. Thus the analysis is restricted to the case of recent events. The observed patterns of genetic diversity were compared with the pattern expected for two possible biogeographical scenarios: recent colonization of Europe or recent range fragmentation. Recent colonization should result in a loss of genetic diversity along the colonization axis and marked genetic structure (Austerlitz et al. 1997). Positive exponential growth rate should also be detected. Under the recent rangefragmentation hypothesis, little difference would be expected in the diversity pattern in both populations and imprints of a negative exponential growth rate. The genetic analyses included two classes of molecular markers, the left domain of the mitochondrial DNA (mtDNA) control region (hypervariable control region I, CRI) and seven nuclear markers with biparental inheritance (four microsatellites, three nuclear introns). Two populations were included: Western Europe and Central Asia. Genetic analyses were supplemented by a morphometric analysis because morphology sometimes diverges quicker than neutral markers as a result of local selection (see Podolsky & Holtsford 1995; Nice & Shapiro 1999; Chan & Arcese 2003 for bird, insect and plant examples respectively). Materials and methods Morphological analyses The 100 specimens (Western Europe n = 20; Central Europe n = 13; Central Asia n = 67) held at the Muséum National d’Histoire Naturelle, Paris, France and the British Museum of Natural History, Tring, UK were measured by one of the authors (P.D.D.R.). Each specimen was referenced according to the locality of collection. The following variables were measured with a calliper to the nearest mm: wing length, © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 C O N S E R V A T I O N G E N E T I C S O F A D U C K S P E C I E S 1037 Table 1 Sample localities (population and subpopulation) and sample size for mitochondrial sequences, microsatellites (APH11, APH10, APH1 and SFI4) and nuclear introns (GAPD, OD and RP40) Microsatellites Nuclear introns Population Sub-population mtDNA APH11 APH10 APH1 SFI4 GAPD OD RP40 Western Europe Camargue Dombes Ebro delta Doñana Constance Total WE 10 9 2 10 2 33 24 30 7 21 3 85 23 30 4 22 3 82 23 30 5 21 3 82 17 24 0 0 2 43 13 27 6 19 2 67 5 25 5 2 2 39 1 28 6 0 2 37 Central Asia Kazakhstan Volga delta Total CA 27 4 31 58 3 61 54 3 57 56 3 59 54 3 57 57 4 61 53 4 57 43 4 47 tarsus length, culmen length, bill width at base of bill, bill depth at base of bill, length between bill base and inner edge of nostril, length between bill tip and outer edge of nostril. The number of lamellae on the bill was also noted for each specimen. All characters were standardized (to zero mean and unit variance) prior to principal components analysis (PCA). Both sexes were pooled for the PCA. Differences between populations or sexes (a potentially confounding effect) in the multivariate morphometric space were investigated by mean of successive analyses of variance (anova) on the principal components (PCs). Samples for the genetic analyses and DNA extraction Samples for the genetic analyses were either muscles in alcohol or dried legs (kept at room temperature) collected from red-crested pochards shot by hunters in different localities of the distribution range (Table 1, Fig. 1). All these localities are breeding sites but most samples might include migrating or wintering birds. Only samples from Doñana most likely represent breeding birds. Since the migration pathways and wintering areas seem to be distinct for Western European and Central Asian populations (see above), birds caught in Western Europe or Central Asia would be expected to belong to their respective population. Total genomic DNA was extracted using mini column extraction kits (DNeasy Tissue Kit, Qiagen) following the manufacturer’s instructions. Mitochondrial DNA sequencing A 450 base pair (bp) fragment of the first (left) domain of the mtDNA control region (CR1) was amplified by the polymerase chain reaction (PCR) with the following primers: NDLF, 5′-AAA-TAA-GTC-ATT-ATT-CCT-GC-3′ (3′ end at position 253 in the Anas platyrhynchos sequence, GenBank accession number L22477) and NDLIR, 5′-AACCAG-AGG-CGC-AAA-AAT-GTG-3′ (3′ end at position 821 © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 in the same sequence). Primers were designed by aligning the sequences of waterfowl species found in GenBank. PCR amplification was performed in a 50-µL reaction volume containing 2 µL DNA solution (variable concentration), 5 µL 10× buffer (Tris–HCl 100 mm + KCl 500 mm), 6.25 µm MgCl2, 3.33 µm dNTP, 1.67 µm of each primer and 0.2 units Taq DNA polymerase (Eurogentec). The annealing temperature was 52 °C and annealing duration was 45 s. Sequencing reactions were conducted with ABI dye terminator chemistry (Applied Biosystem) following the standard ABI cycle sequencing protocol and were electrophoresed on an ABI Prism 310 Genetic Analyser following recommended procedures, using NDLIR as the sequencing primer. Microsatellites Between 100 and 146 individuals were genotyped at four microsatellite loci (see Table 1 for the sample size of each marker). Primer sequences were found in the literature (APH11, APH10 and APH1 in the Peking duck Anas platyrhynchos: Maak et al. 2000; SFI4 in the spectacled eider Somateria fisheri: Fields & Scribner 1997). PCRs were performed in a total volume of 12 µL containing 2 µL DNA solution (concentration variable), 1.2 µL 10× buffer (Tris– HCl 100 mm + KCl 500 mm), 2.08 µm MgCl2, 0.5 µm dNTP, 0.83 µm of forward primer, 0.17 µm of γ[32P]ATP-labelled reverse primer and 0.1 units Taq DNA polymerase. The annealing temperature was 52 °C for all marker except APH1 (for which the annealing temperature was 54 °C) and annealing duration was 30 s. PCR products were resolved by electrophoresis on 5% denaturing polyacrylamide gels, exposed for 12–72 h. Nuclear introns Three nuclear introns were amplified on 130 individuals for GAPD, 96 for OD and 84 for RP40 (Table 1) using PCR 1038 L . G A Y E T A L . (same protocol as for the control region). Primer sequences were found in the literature (Friesen et al. 1997, 1999): GAPD (glyceraldehyde-3-phosphate dehydrogenase gene), RP40 (ribosomal protein 40 gene) and OD (ornithine decarboxylase gene). The annealing temperature was 56 °C for 45 s. Sequence polymorphism was revealed by single-strand conformation polymorphism (SSCP; Lessa 1992; Palumbi & Baker 1994) performed using an ABI Prism 310 Genetic analyser, following the manufacturer’s instructions (Applied Biosystems). Data analysis Within-population analysis. The number of haplotypes (na), number of polymorphic sites (S), haplotype diversity (H ± SD) and mean number of pairwise differences (π ± SD) were estimated on mtDNA data using arlequin version 2.0 (Schneider et al. 2000). The hypothesis of selective neutrality of the control region fragment sequenced was tested using the D* and F* tests (Tajima 1989a; Fu 1997) with the program arlequin. Maximum likelihood estimates of the exponential growth rate ( g, scaled to the per sequence mutation rate) were obtained using a coalescence-based method (fluctuate, Kuhner et al. 1998). For nuclear data, the mean number of alleles (na), Nei’s unbiased estimates of expected heterozygosity (HE) and observed heterozygosity (HO) were calculated using genetix version 4.02 (Belkhir et al. 2001). FIS was calculated for each locus separately and for all loci together and significance was tested by permutation of individuals among populations (1000 permutations). genetix was used to test for linkage disequilibrium between pairs of loci in each population (1000 permutations). Levels of significance were adjusted using sequential Bonferroni corrections (Rice 1989). Among-population analyses. modeltest version 3.0 (Posada & Crandall 1998) was used to determine the appropriate model of substitution for the control region sequences. The selected model was Tamura–Nei with a gamma distribution of the substitution rates and a proportion of invariable sites. mega version 2.1 (Kumar et al. 2001) was then used to generate a phylogenetic tree of the mtDNA haplotypes by the neighbour-joining method based on a Tamura–Nei distance matrix with the shape parameter of the gamma distribution determined by modeltest. The analysis of population structure was based on variance partitioning. Mitochondrial DNA data were analysed by analysis of molecular variance (amova, Excoffier et al. 1992) with arlequin using a Kimura two-parameter distance for estimating ΦST values. For nuclear markers, the estimator θ of FST (Weir & Cockerham 1984) was estimated using genetix. RST was not used for microsatellites because both sample size and number of loci were too small for RST to give a better estimation of population structure than FST (Gaggiotti et al. 1999). The significance of ΦST and FST estimates was tested by permutations of individuals among populations (1000 permutations). FST and ΦST estimates were used to estimate gene flow between the two populations, assuming a finite-island model, with the following equation at migration/drift equilibrium: FST = 1/(1 + 4Nmα) and Φ ST = 1/(1 + N fm fα), Nm being the number of migrants entering a population per generation, Nfmf is the number of female migrants and α = r/(r − 1) with r being the number of populations. In this study, r = 2 and α = 2. Estimates of gene flow based on FST and its analogues rely on the island model assumptions requiring equal population sizes and symmetric migration rates (Rousset 2001). In the case of the red-crested pochard, both assumptions probably do not hold (see Introduction). Therefore, the gene flow was also estimated using a maximumlikelihood method based on coalescence (Beerli & Felsenstein 1999) implemented in migrate Version 1.5.1. (Beerli 2002), using mtDNA sequences, microsatellites and nuclear introns separately, because these markers follow different mutational models (mtDNA sequences, Felsenstein’s mutation model; nuclear introns, infinite allele model; microsatellites, stepwise-mutation model). For all analyses, the default settings of migrate were used except that the number of short and long Markov chains and the number of trees sampled were increased in some runs (20 short chains with 5000 recorded genealogies and four long chains with 50 000 genealogies). Because convergence problems are common with Markov chain estimations, the convergence of the program was tested by using the options ‘heating’ and ‘replication’ and by reiterating the estimations with different starting values (for example the estimations from previous runs). Results Morphometric analysis The two first axes of the PCA explain 50% of the total variance. The first axis of the PCA (PC1) indicates an obvious morphological differentiation between individuals from Western Europe and Central Asia, with the Eastern European population having an intermediate position (Fig. 2). This is confirmed by the analysis of variance: there is a strong population effect on PC1 (one-way anova; F2,97 = 59.28; P < 10−6) but no effect of sex (one-way anova; F2,97 = 0.37; P = 0.54). This first axis is mainly a size axis, with most biometric variables having a large contribution, except the number of lamellae (see Table 2 for the contribution of each variable to the PCs and percentages of explained variance for PC1 and PC2), Western and Central European specimens having, on average, smaller biometrics than individuals from Central Asia. © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 C O N S E R V A T I O N G E N E T I C S O F A D U C K S P E C I E S 1039 Table 2 Eigenvalues, per cent of explained variance and contribution of each variable to the principal components Eigenvalue Per cent of explained variance Wing Tarsus Culmen Width at bill base Depth at bill base Bill base to nostril Bill tip to nostril No. of lamellae Fig. 2 Bivariate plot of PC1 and PC2 scores generated by a PCA on all specimens (sexes pooled) using the eight morphological variables (see Materials and methods). , Western European population; +, Eastern European population; , Central Asian population. Population genetic diversity The control region was sequenced in 64 individuals ( Table 1; GenBank accession numbers AY465764 to AY465827). The 450-bp analysed fragment starts around position 367 of the Anas plathyrhyncos sequence (GenBank accession number L22477) and ends around position 821. This segment proved highly variable, with one haplotype per individual in Central Asia (31 individuals) and 13 haplotypes in Western Europe (33 individuals). The sequence exhibited 74 polymorphic sites in Central Asia and 41 in Western Locus Allele Central Asia APH11 1 2 3 4 0.2869 0.6557 0.0410 0.0164 APH10 1 2 3 4 5 SFI4 1 2 3 4 5 6 7 6 Western Europe Locus Allele 0.2118 0.6706 0.1176 0.0000 APH1 1 2 3 4 0.6949 0.2288 0.0763 0.0000 0.6585 0.2256 0.1098 0.0061 0.7018 0.1228 0.0439 0.0000 0.0263 0.7195 0.2012 0.0000 0.0183 0.0488 GAPD 1 2 3 4 5 0.2951 0.1475 0.1639 0.0902 0.2213 0.2239 0.2090 0.0597 0.0672 0.2985 0.2105 0.5000 0.0965 0.0702 0.0088 0.0526 0.0614 0.1053 0.2558 0.4651 0.0233 0.0698 0.0000 0.0465 0.1395 0.0122 6 1 2 3 1 2 3 0.0820 0.3830 0.6064 0.0106 0.7544 0.2281 0.0175 0.1418 0.4595 0.5270 0.0135 0.6667 0.3205 0.0128 OD © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 PC2 2.83 35.37 1.14 14.29 0.40 0.64 0.65 0.62 0.78 0.71 0.56 0.07 0.55 − 0.31 − 0.35 − 0.19 − 0.05 0.17 0.35 0.65 Europe. Haplotype diversity was 1.000 ± 0.008 (± SD) and 0.723 ± 0.080 for Central Asia and Western Europe, respectively. The mean number of pairwise differences ranged from 0.027 ± 0.0125 in Central Asia to 0.012 ± 0.006 in Western Europe. Mitochondrial DNA diversity was thus significantly lower in Western Europe than in Central Asia (Mann–Whitney test, retaining only independent pairwise comparisons: NCentral Asia = 15, NWestern Europe = 16; U = 54.5; Z = 2.589; P = 0.009). There were between three and seven alleles per locus for the four microsatellites and the three nuclear introns (Tables 3 and 4). Unlike the sequence data, there was no significant difference of diversity between the two populations at the nuclear loci. The mean number of alleles per locus was 4.43 in Central Asia and 4.28 in Western Europe. Expected heterozygosities were similarly high (0.539 ± 0.148 and 0.554 ± 0.133 for Central Asia and Western Europe, Central Asia RP40 PC1 Western Europe Table 3 Allele frequencies for seven nuclear loci (microsatellites: APH11, APH10, APH1 and SFI4; introns: GAPD, RP40 and OD) for Central Asian and Western European populations 1040 L . G A Y E T A L . Table 4 Diversity at seven nuclear loci (microsatellites: APH11, APH10, APH1 and SFI4; introns: GAPD, RP40 and OD) for Central Asian and Western European populations Locus name Population APH11 Central Asia Western Europe APH10 Central Asia Western Europe APH1 Central Asia Western Europe SFI4 Central Asia Western Europe GAPD Central Asia Western Europe RP40 Central Asia Western Europe OD Central Asia Western Europe n nall HE HO 61 85 57 82 59 82 57 43 61 67 47 37 57 39 4 3 5 5 3 4 7 6 6 6 3 3 3 3 0.475 0.029 0.317 0.541 − 0.095 0.839 0.421 0.129 0.052 0.463 − 0.050 0.699 0.373 0.196 0.020 0.329 0.351 0.000 0.691 − 0.067 0.789 0.698 0.002 0.410 0.770 0.046 0.170 0.731 0.080 0.075 0.425 0.134 0.127 0.378 0.272 0.031 0.316 0.174 0.056 0.410 0.106 0.192 0.486 0.492 0.479 0.439 0.459 0.503 0.685 0.737 0.800 0.789 0.485 0.511 0.379 0.453 FIS P n is the sample size; nall the number of alleles per locus; HE the gene diversity; HO the observed heterozygosity; FIS Wright’s inbreeding coefficient and P the probability associated with the test of Hardy–Weinberg equilibrium. respectively; Mann–Whitney test on expected heterozygosities for each locus: NCentral Asia = 7; NWestern Europe = 7; U = 20; Z = −0.575; P = 0.565). There was a significant deviation from Hardy–Weinberg equilibrium when considering all loci together (Central Asia: FIS = 0.076, P = 0.019; Western Europe: FIS = 0.093, P = 0.006). However, this result was predominantly caused by a significant heterozygote deficiency at locus APH1 (Central Asia: FIS = 0.196, P = 0.02; Western Europe: FIS = 0.351, P < 10−3). The FIS calculated without APH1 is much lower and only marginally significant (Central Asia: FIS = 0.060, P = 0.05; Western Europe: FIS = 0.055, P = 0.09). APH1 was not discarded from further analyses because this heterozygote deficiency should have limited effect on the estimates of interpopulation differentiation, as FST is especially intended to separate deviations from Hardy–Weinberg equilibrium due to geographical structuring, as opposed to other causes. After Bonferroni correction, no pair of loci was in significant linkage disequilibrium. Population genetic structure The phylogenetic relationships between the control region haplotypes based on the neighbour-joining method are presented in Fig. 3. The topology of the tree is poorly supported, as shown by low bootstrap values. Haplotypes found in the two populations do not form any distinct clade. However, a nonrandom distribution of haplotypes is apparent: the Western European haplotypes are mainly Fig. 3 Phylogenetic tree obtained by the neighbour-joining method, based on Tamura–Nei distances with gamma correction for 64 individuals. Each symbol corresponds to one individual, filled symbol indicate Western European populations while open symbols indicate Central Asian populations. The symbol corresponds to the subpopulation: , Dombes; , Camargue; , Ebro Delta; , Doñana; , Constance; , Volga Delta; , Kazakhstan. Bootstrap values based on 1000 permutations. grouped into two clades and several haplotypes are shared by more than one individual, while some haplotype groups are not detected in Western Europe. On the contrary, all haplotypes from Central Asia are present in only one individual, and all haplotypic groups are present in Central Asia. In addition, the branches of the tree are much shorter on average for the Western Europe haplotypes. This nonrandom distribution of haplotypes was confirmed by the amova, which indicates significant differentiation between Central Asian and Western European populations (ΦST = 0.152, P < 0.01) explaining 15% of the total genetic variance. On the contrary, estimates of population structure based on nuclear genes are very low and not significantly different from zero ( FST = 0.004; P = 0.14). © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 C O N S E R V A T I O N G E N E T I C S O F A D U C K S P E C I E S 1041 Table 5 Number of migrants estimated using F-statistics assuming a finite-island model for the three different markers Mitochondrial DNA Multilocus nuclear markers Microsatellites only (four loci) Nuclear introns only (three loci) FST or ΦST Nm or Nfmf estimation ΦST = 0.152 0.004 (ns) 0.003 (ns) 0.006 (ns) Nfmf = 1.40 31.20 49.48 21.43 ns, not significantly different form zero. The corresponding Nm values are about 30 migrants per generation for nuclear markers and fewer than two female migrants per generation for mtDNA between Western Europe and Central Asia (Table 5). No significant structure was detected among European populations for mtDNA (amova, P = 0.312) or for nuclear markers (FST not significantly different from zero). When using migrate on mtDNA sequences, some runs produced biologically unrealistic values (of population size for example) suggesting convergence towards local likelihood maxima, and were excluded. Regarding microsatellites, gene flow and population size estimates were convergent but some runs gave extremely wide confidence intervals. For nuclear introns, all estimations were convergent. Estimates of gene flow with migrate provided more similar results between the different markers than estimation based on the finite-island model. Gene flow from Central Asia to Western Europe was estimated as 0.64 female migrants (95% confidence interval: 0.249–1.145) for mtDNA control region sequences (or 1.280 migrants per generation assuming a balanced sex ratio and no sex-biased dispersal), 1.706 (1.098 –2811.914) for microsatellites [0.969 (0.944–1.004) if runs with very large confidence intervals are excluded] and 4.095 (2.680 – 4.976) for nuclear introns (Fig. 4). The numbers of migrants from Western Europe to Central Asia were similar (symmetrical gene flow) for nuclear markers. For mtDNA sequence data though, migrate estimated significantly higher female gene flow from Western Europe to Central Asia [51.468 (16.550 – 75.247)] than from Central Asia to Western Europe [0.640 (0.249 –1.145)]. This could however, be a consequence of the hierarchy of diversities among the two populations: all haplotypes found in Europe are also present in Asia, so each European individual could be a potential Asian migrant. Demographic inferences Neutrality tests for mtDNA control region sequences rejected the hypothesis of the neutral equilibrium model for the Western Europe population with Tajima’s test © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 Fig. 4 Mean effective size (2Nf µ for mitochondrial sequences, with Nf = females effective size = 0.5 Ne for a balanced sex ratio; Neµ for nuclear introns and microsatellites) and mean number of migrants (2Nfmf for mitochondrial sequences, with mf = females migration rate; Nem for nuclear introns and microsatellites) estimated by the software migrate on mitochondrial sequences (a), nuclear introns (b) and microsatellites (c). Values in bold type indicate the maximum likelihood estimator, and those in italic indicate 95% confidence intervals. (D = −1.637; P = 0.0425) and for Central Asia with Fu’s test (Fs = −24.101; P < 10− 4). In the two other tests, the neutral hypothesis was not rejected. Growth rates estimated by fluctuate were positive for both populations, with a larger growth rate for Central Asia (g = 409.18; SD = 32.79 for Central Asia and g = 64.03; SD = 22.70 for Western Europe). Considering a per-site mutation rate µ for the mtDNA control region comprised between 10−5 and 10−7 (Quinn 1992; Freeland 1997; Kidd & Friesen 1998), an absolute growth rate (λ = exp g *µ) and the time until the populations double were evaluated, as presented in Table 6. Even if a mutation rate as high as 10 −5 is considered, λ is higher than one for both populations. 1042 L . G A Y E T A L . Table 6 Estimates of θ (effective population size × mutation rate) and of g (exponential growth rate) for Central Asian and Western European populations using fluctuate g θ λ µ = 10−5 µ = 10−7 td µ = 10−5 µ = 10−7 Central Asia Western Europe 409.184 (SD 32.791) 3.177 (SD 0.931) 64.032 (SD 22.701) 0.065 (SD 0.010) 1.004100 (1.004429 –1.003771) 1.000041 (1.000044 –1.000038) 1.000640 (1.000413 –1.000413) 1.000006 (1.000009 –1.000004) 170 16.906 1.083 115.525 The ratio of transitions to transversions was 7.5; θ = 2Nf µ with Nf being the female effective population size and µ being the mutation rate. λ is the absolute growth rate [λ = exp(g × µ)] and td is the time until the population doubles in years. Confidence intervals are shown in parenthese and SD are indicated. Thus, neither population shows any sign of demographic decline. summary statistics and should thus be more powerful. However, it is computationally very demanding (Emerson et al. 2001) and it is practically difficult to find the appropriate chain length for reaching convergence. As a consequence, the robustness of these estimations to violations of the underlying assumptions has still to be tested (Neigel 2002) and it seems difficult to conclude on the comparison of FST-based and coalescence-based estimates of gene flow. The existence of morphological differences between the Western European and Central Asian populations indicates that they constitute distinct pools of individuals. Morphological differences are not necessarily linked to genetic structure, as they could result from phenotypic plasticity (James 1983). However, if dispersal between Western Europe and Central Asia was completely random, no morphological differences would be expected, not even as a result of plasticity. This morphological analysis thus further confirms that individuals do not move randomly between these two distant areas. Moreover, banding data do not mention any bird banded in Central Asia being recaptured in Western Europe. Of course, the validity of that observation depends on the ‘banding effort’ in Central Asia, but it argues for restricted migration from Central Asia to Western Europe. Discussion Comparison of mitochondrial and nuclear genetic structure Population structure Whereas ΦST indicates a substantial level of mitochondrial genetic structure, its nuclear analogue F ST is very low (0.004) and not significantly different from zero. Because of differences in effective population size of the markers, structure indices estimated with nuclear or mitochondrial markers are not directly comparable (see Crochet 2000). If the red-crested pochard populations were at equilibrium and without sex-biased dispersal, the observed mitochondrial ΦST of 0.152 would be equivalent to a theoretical nuclear FST of 0.043, which is approximately 10 times higher than the observed value for nuclear markers. Two hypotheses could explain the discrepancy between mitochondrial and nuclear structure: (i) return time to equilibrium and (ii) sex-biased dispersal. In the first of these hypotheses, because the effective population size of mitochondrial markers is four times lower than for nuclear DNA in gonochoric species, mtDNA returns faster to equilibrium than nuclear DNA. In humans, it has been shown that demographic events disturbing population equilibrium resulted in different genetic diversity patterns for mitochondrial and nuclear DNA (Fay & Wu 1999; Hey & Harris 1999). In the red-crested pochard, recent demographic events (founding effect or bottlenecks) could have affected genetic equilibrium (see below), leading to different nuclear and mitochondrial genetic structure. The lack of significant genetic structure among Western European subpopulations for all markers fits well with the ringing data (Defos du Rau 2002), which shows numerous exchanges of individuals between these various subpopulations. A significant genetic structure exists between Western Europe and Central Asia for the mtDNA (ΦST = 0.152, P < 0.01) but not for nuclear loci. Estimates of female dispersal rates from Central Asia to Western Europe using mtDNA are consistently low (1.4 females per generation for FST-derived estimates and 0.64 females per generation for coalescence-based methods). Considering the recent history of the species (see below), these results are probably based on a nonequilibrium situation and actual levels of dispersal between these populations are probably even lower (see Whitlock & McCauley 1999 for details on the implications of deviation from the assumptions of the island model). Estimates of the amount of nuclear gene flow are more difficult to interpret. On the one hand, the nonsignificant value of nuclear FST precludes making any precise estimates of gene flow, but suggests a high level of gene flow. On the other hand, migrate estimates suggest a low level of nuclear gene flow, even if the very large confidence intervals for microsatellites make this conclusion questionable. The approach employed in migrate makes full use of data rather than relying on © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 C O N S E R V A T I O N G E N E T I C S O F A D U C K S P E C I E S 1043 Alternatively, the difference of structuring patterns between mtDNA and nuclear markers could be the consequence of sex-biased dispersal. In Anseriformes (geese and ducks, Greenwood & Harvey 1982), unlike the prevalent pattern of male-biased philopatry in avian species, females often display strong natal- and breeding-site fidelity while males can migrate long distances (see Avise et al. 1992 for the snow goose Anser caerulescens and Blums et al. 2002 for three duck species). As a result, a recent study using nuclear and mitochondrial markers in the spectacled eider duck Somateria fisheri found the same pattern of strong mitochondrial structure and low nuclear differentiation as obtained here (Scribner et al. 2001). A comparison between male and female relatedness within populations, as has been performed in the red grouse Lagopus lagopus scoticus (Piertney et al. 1998) could allow discrimination between these two hypotheses. If natal philopatry reduces female-mediated gene flow, females are expected to be more closely related than males (Luikart & England 1999, see Prugnolle & De Meeus 2002 for a review). Neutral evolution of mtDNA and demographic inferences The failure of red-crested pochard control region sequences to pass Tajima’s test (Tajima 1989a) (for Western Europe) and Fu’s test (Fu 1997) (for Central Asia) does not necessarily indicate a non-neutral molecular evolution. Deviations from the assumption of demographic equilibrium (after demographic expansions or bottlenecks) can lead to the rejection of neutrality in absence of selection (Tajima 1989b). Indeed, Tajima’s test has been used before to make demographic inferences (e.g. Fry & Zink 1998 in the song sparrow Melospiza melodia; Fay & Wu 1999 in humans). fluctuate also estimates a positive growth rate for each population, but could be affected by selective processes as well. However, various studies have indicated that mtDNA control region polymorphism is usually selectively neutral (Fry & Zink 1998; Milot et al. 2000; Griswold & Baker 2002), even if hitchhiking cannot be excluded because of the complete genetic linkage of mitochondrial genes. The results of Tajima’s and Fu’s tests and fluctuate are thus likely to reflect demographic fluctuations of red-crested pochard populations (demographic expansion in Central Asia, founding effect in Western Europe). To reject the selection hypothesis, other neutrality tests discriminating the effect of demography and selection would be necessary (see Nielsen 2001 for a review). Phylogeography of the red-crested pochard Despite low mitochondrial gene flow, the absence of original mitochondrial lineages in Western Europe and the lack of reciprocal monophyly between Western Europe © 2004 Blackwell Publishing Ltd, Molecular Ecology, 13, 1035–1045 and Central Asia indicate a recent isolation of Western European from Central Asian populations. The high FST-estimates for mitochondrial sequences are compatible with an event of colonization (Austerlitz et al. 1997). The ‘star-like’ phylogeny of Western Europe haplotypes contrasts with the deeper branches among Central Asian lineages, and haplotype diversity is low in Europe compared to central Asia. All lineages present in Western Europe are also present in Central Asia. The haplotype diversity in Western Europe is thus a limited sample of the Central Asian diversity. This loss of diversity is the expected outcome of a colonization event by a low number of founders, with the source population containing the most divergent haplotypes (Austerlitz et al. 1997; see also Ingman et al. 2000 for an example in humans). Mitochondrial data are thus compatible with a recent colonization scenario for Western Europe. Nevertheless, a similar genetic signal would result from a strong decrease in population size in Europe following fragmentation of a formerly continuous distribution with little or no isolation by distance. The demographic inferences obtained with fluctuate and confirmed by the results of Tajima’s test, however, indicate an increase in population size both in Central Asia and Western Europe, which does not support the fragmentation scenario. Moreover, historical data date the first breeding attempts by the red-crested pochard in Western and Central Europe from the late 1800s (Mayaud 1966; Cramps & Simons 1977; Hagemeijer & Blair 1997). A recent colonization of Western Europe by the red-crested pochard is therefore the most likely scenario. Conservation of the red-crested pochard in Western Europe Analyses of mtDNA and nuclear markers clearly demonstrate that populations of red-crested pochard are not structured in reciprocally monophyletic clusters for any marker and that the Western European populations do not contain any original genetic variants. Western European populations thus do not constitute an Evolutionarily Significant Unit (Moritz 1994). However, mitochondrial allele frequencies are significantly different between Western Europe and Central Asia, which corresponds to the definition of the Management Unit sensu Moritz (1994). Given the low amount of female-mediated gene flow estimated from FST or migrate, the demographic contribution of migrant females from Central Asia to Western Europe can be confidently considered as negligible. Morphological differences between these populations regardless of the sex show that males do not disperse freely among these areas either. In terms of demography, the low number of female migrants means that numbers of red-crested pochards in Western Europe cannot be efficiently supplemented by 1044 L . G A Y E T A L . immigration from the larger Asian populations. The Western European populations of red-crested pochard thus need to be managed independently from the large Central Asian populations. Defining precisely the limits of this management unit will require more sampling in Eastern Europe and Turkey, to determine whether Eastern European populations belong to the same management unit as the Western European populations or are part of the Central Asian populations, or even constitute a distinct unit. Acknowledgements We thank all the duck hunters from Camargue and Dombes (France) and Ebro Delta (Catalonia) as well as from the Chassorbis, D.H.D. Laïka and Seladang hunting companies who provided us with the materials used in this work. In particular, we thank Cati Gerique (Generalitat Valenciana), Christophe Buquet, Fransesc Vidal Esquerre (Natural Park of Ebro Delta), Jean-Yves Fournier (ONCFS), Andy Green and Jordi Figuerola (Estación Biológica de Doñana), Alain Méric Grossi, Dr Botond Kiss (Danube Delta National Institute), Eric Wacheux (Chassorbis). We are also grateful to Patricia Sourrouille and Chantal Debain for technical assistance with the molecular work and to Mark Adams, Frédéric Jiguet and Jean-Marc Pons for their assistance in the British Museum of Natural History and the Muséum National d’Histoire Naturelle, respectively. We thank Philippe Jarne, Nicolas Galtier and two anonymous referees for helpful comments on the manuscript. References Austerlitz F, Jung-Muller B, Godelle B, Gouyon P-H (1997) Evolution of coalescence times, genetic diversity and structure during colonisation. 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Gay who is currently pursuing a doctorate at the CEFE-CNRS in Montpellier on the impact of selection and hybridization on the speciation process in large white-headed gulls. P-A. Crochet is a post-doctorate researcher at the CEFE–CNRS. His main interest is in the application of molecular methods to the study of natural populations with an emphasis on questions ranging from dispersal to systematics, phylogeny and biogeography. P. Defos du Rau and J-Y. Mondain-Monval work for ONCFS (the French Game and Wildlife Service) and are involved in monitoring surveys and management plans for various animal species and wetland sites. Chapter 6 DEMOGRAPHY AND HARVESTING SUSTAINABILITY OF A RARE GAME WATERBIRD: THE RED- CRESTED POCHARD IN EUROPE AND THE CAMARGUE (FRANCE) P. Defos du Rau, J.Y. Mondain-Monval, C. Barbraud, A. Olivier, A. Johnson, H. Kowalski, E. Cam INTRODUCTION Sustainability of waterfowl exploitation has long been a major issue in wildlife ecology (Kalchreuter 1996, Nichols & Johnson 1996), since the middle of 20th Century, mainly in North America (Nichols 1991, Nichols et al. 1995), but also in Mediterranean Europe (Hoffmann 1963a & b). In response to the uncertainty and questions in waterfowl demography, and conservation- or exploitation-oriented management, a nation-wide, continental, semiexperimental strategy known as «Adaptive management» has been developed in North America in the early 1990s. The long-term objective of Adaptive Management, which integrates monitoring schemes of several demographic and management parameters, is to ensure sustainability and reduce uncertainty in species exploitation (Nichols et al. 1995). A similar integrated monitoring is advocated for Europe. Indeed, Europe has a strong tradition of duck shooting and, locally, relatively high levels of duck exploitation (Nichols et al. 2001). Sustainability of European duck harvesting is therefore of strong management concern. Evaluation of hunting harvest sustainability requires integrated analytical tools allowing optimisation of objective functions and decision making (Conroy & Moore 2001) over entire biogeographical populations, i.e. at continent scale. However, there are structural obstacles to its implementation such as data sparseness and heterogeneity, or simply sector-specific lacks (Elmberg et al. 2006), as well as linguistic and cultural differences. A common technique allowing assessment of harvest sustainability for exploited species, but also of conservation-oriented management options for rare or threatened species, is demographic population projection models (Caswell 1989, Ferrière et al. 1996, Gauthier & Lebreton 2004, Lebreton 2005). Matrix population models are designed for populations structured by age or stage; they are well suited for situations where survival probability has been estimated using a discrete-time model, by capture-recapture methodology for example (Willams et al. 2002). They may be useful for diagnostic of exploitation sustainability even with minimal knowledge of the 1 species biology and demography, through estimation of integrative population traits like mean generation time (Gauthier & Lebreton 2004) or demographic invariants (Niel & Lebreton 2005). The Red-crested Pochard (RCP) is a migratory duck breeding mainly in Central Asia, from China to the Black Sea, and more locally in Central and Western Europe (Snow & Perrins 1998). The species is listed in appendix III of the Berne Convention, in appendix II of the Bonn Convention, in appendix II/2 of the EU Birds Directive 94/24 and in Annex II of the AfricanEurasian Waterbird Agreement. RCP is both exploited and of conservation concern. Although it is regionally considered scarce or threatened, the species is hunted in France, Portugal, Romania and Spain. Furthermore, although capture-recapture data sets have been collected on this species (Johnson 1975, Defos du Rau et al. 2003), which allows preliminary estimation of some vital rates, existing data are sparse and there is a general lack of knowledge of population dynamics of the species since seminal studies by Amat (1982) and Llorente & Ruiz (1985). Because of this, matrix population models seem the only suitable analytical tool to explore the population dynamics, to provide preliminary insights into exploitation sustainability and to assess conservation options for RCP in Europe. Our main objectives were the following. First, we estimated the vital rates of the European population, we specified a matrix population projection model, and then validated it using independent data sets from abundance surveys. Second, we addressed the following questions: (i) - Are there compensatory mechanisms to harvesting? We addressed whether the impact of harvesting on mortality is compensatory or additive to natural mortality (Lebreton 2005). This is a major debate in exploited population dynamics theory, relevant to harvesting sustainability. We also addressed the existence of such compensation on reproductive parameters (e.g., fledging success; Kalchreuter 1996, Blums et al. 2002a). (ii) - What is the relationship between harvest levels and RCP population dynamics? We assessed current growth rate and precision, theoretical maximum sustainable harvest level (Niel & Lebreton 2005) and the influence of change in harvest on RCP population growth (Gauthier & Lebreton 2004). 2 (iii) - Which recommendations are prioritized by perturbation analyses? Considering the lack of data for some vital rates of RCP, we chose to focus on setting research priorities rather than management priorities and performed some perturbation analyses accordingly, i.e. by giving more credit to parameter uncertainty analyses (Hunter et al. 2000) than to sensitivity analyses (Caswell 1989, Reed et al. 2002). (iv) - What are the projections from different parameterizations of the population matrix model? We simulated short-term variation in RCP Camargue subpopulation size under different versions of a preliminary scenario based on environmental stochasticity (following recommendations from Reed et al. 2002 and Fieberg & Ellner 2001). We addressed these questions at two geographic scales: (i) the European RCP population (as defined by Krebs 1972) and (ii) the Camargue RCP subpopulation, where several vital traits were recently estimated from. METHODS Study site and species The RCP originates from Central Asia (Gay et al. 2004). In France and in Europe in general, it is considered a rare, locally threatened duck species (Dehorter & Rocamora 1999, Snow & Perrins 1998). The Central Europe and Western Mediterranean population is considered a distinct demographic unit from the Central Asian one (Gay et al. 2004), and is estimated at 50000 individuals (Delany & Scott 2002). Within this Central Europe and Western Mediterranean population, the species is hunted in Portugal, France and Spain, despite the fact that the species is rare compared to most other game duck species (Delany & Scott 2002). The total harvest for this population was estimated at 8000 birds per year in the mid-80’s (Shedden 1986), 700 of which on average were harvested in France and the rest in Spain. The French wintering population (thus, the French harvest) is located almost exclusively in the Rhône river mouth, named the Camargue, which is a vast natural and cultivated delta of 1450 km2 on the west coast of the Mediterranean. Natural habitats are freshwater and brackish wetlands, which cover approximately 40% of the total delta area. The Camargue delta is split between 230 estates, most of which are privately-owned shooting estates, managed for breeding and wintering wildfowl. 3 The Camargue subpopulation of RCP was estimated at 560 brood-rearing females (95% confidence interval: 436–855) for the whole Camargue in year 2001 (Defos du Rau et al. 2003). A two-stage matrix model As in several other studies of duck demography (Hoekman et al. 2002, Flint et al. 2006), we built a two-stage matrix model for female RCP (Williams et al. 2002). The model was based on a post-breeding census, because population estimates time series are generaly available for wintering birds. The matrix model is the following: ⎡ F1 * S1 F 2 * S 2⎤ , ⎢ S1 S 2 ⎥⎦ ⎣ where Fi stands for fecundity at age i and Si for survival probability at age i. Like many duck species, RCP is supposed to be able to breed at age 1 year (Cramp & Simmons 1977, Johnson et al. 1992). We implemented the model in software program ULM (Legendre & Clobert 1995, Ferrière et al. 1996). We used this model to simulate temporal variation in numbers of both the open Camargue breeding population and the closed West and Central European population. Survival probabilities were added an immigration component m to account for the fact that the Camargue breeding population is an open population. Vital rates used in this model where either estimated using data from the Camargue breeding and wintering populations, or came from studies of breeding RCP by Amat (1982), or from the closely related Aythya or Anas duck genus, mainly from Batt et al. (1992) and Blums et al. (1996). For discussion of costs and benefits of use of data from other subpopulations or species, respectively, see Frederiksen et al. (2001) and Hunter et al. (2000). Estimate of variance for deterministic growth rate estimates were calculated following Caswell (1989). 4 Census and harvest time-series We used RCP census data for model initialization with realistic initial population estimates, and for model validation. Three different census data sets were used: (i) The most restricted one concerned the Camargue breeding population of RCP, which was estimated at 560 brood-rearing females in 2001, based on a detection probability estimated at 0.575 (Defos du Rau et al. 2003). In addition, RCP was first observed breeding in the Camargue in year 1894 (Mayaud 1966). Those two population size estimates provided a test set and an initial population size for simulation of future RCP Camargue population dynamics. Concerning initial population size, we assumed that detection probability in year 1894 was < 1 (when the first breeding female was observed). We set the initial population size (number of breeding females) equal to 3. The test data set was used to assess the degree of agreement between estimated numbers (560 breeding females in year 2001) and numbers obtained using different versions of the population projection model (see below). (ii) - The mid-winter International Waterbird Census coordinated in Europe by Wetlands International is the basis for published RCP population estimates (Table 1). Population estimate Year of estimation Expected female population size Reference 20000 1994 10000 Rose & Scott (1994) 25000 1995 12500 Scott & Rose (1996) 27500 1997 13750 Keller (2000) 37000 1999 18500 Gilissen et al. (2002) 50000 2002 25000 Delany & Scott (2002) Table 1: published population estimates (number of individuals) for the Central and Western European RCP closed population Because of the relatively important fluctuations and uncertainties in the European data set for RCP winter counts prior to 1995 (Scott & Rose 1996), we started population projections in year 1994. We used the Rose & Scott estimates of 1994 (Table 1) as the initial population size value. Again, this short time-series of RCP European counts provided a test data set for model-based simulation of RCP European population dynamics. 5 (iii) Also in winter, aerial waterbirds census were conducted every winter months from 1966 onward over the entire wintering and harvesting area of RCP in the Camargue by the Centre National de la Recherche Scientifique (Tamisier & Dehorter 1999) and the Tour du Valat (Gauthier-Clerc, Tour du Valat pers. comm.). We used this long-term time-series of RCP winter counts to compute harvest rates for the corresponding Camargue area (over which both winter census and harvest data sets were collected). To estimate harvest rate, we used the long-term duck harvest survey performed over a sample of Camargue hunting estates by Office National de la Chasse et de la Faune Sauvage, from 1951 onward. RCP harvest data are available by estate and by date. A GIS survey of hunting estates provided an estimate of total area of hunted wildfowl habitat of 38137ha for the whole Camargue. Considering potential for sampling errors in harvest rate estimates (Lebreton 2005), we only used years with the largest samples within this long-term harvest monitoring. Relatively larger sampling effort started from 1988 onward and encompassed an average 19,6% of the total hunted wildfowl habitats. Total RCP harvest for the Camargue was then estimated by area expansion. This harvest estimate was added a 20% crippling loss (Anderson & Burnham 1976) to account for birds that were shot down but not retrieved or not immediately killed. An index of harvest rate for the Camargue RCP subpopulation was computed as the ratio of the estimated total harvest of the corresponding year to an estimate of the total number of birds available for harvest (i.e., the total number of birds passing through the harvest area during the hunting season). Such an estimate was computed for Teal Anas crecca by Caizergues et al. (submitted to Ibis) as twice the maximum number counted. This result was based on a model for local turn-over combining teal monthly counts and local apparent survival estimates. Consequently, we used twice the observed maximum winter counts of RCP from aerial surveys over the Camargue as the total RCP numbers available for harvest. Overall we used an approach similar to the one used by Gauthier et al. (2001) and assumed that our estimate of harvest rate H (including crippling loss) was reliable for the following reasons. First, the aerial census conducted in winter encompassed the whole area of RCP wintering and harvesting (Tamisier & Dehorter 1999). Second, we used only the most recent (and thus the 6 largest samples) in the harvest survey, which implies that the accuracy of harvest estimates was increased. Survival probability estimation We estimated juvenile and adult annual survival probabilities using the only existing markrecovery data set for RCP in the Camargue (maintained by the Tour du Valat), where 269 known age RCP were captured, weighted and banded between 1952 and 1979. Because of the scarcity of data, we pooled records from both sexes. Since male ducks generally have higher survival probability than female (Johnson et al. 1992, Lake et al. 2006), our final female survival estimate used in the population projection model was probably too high. Twenty percent of the 54 recoveries were actual live recapture but again because of the scarcity of data, we treated every recovery as a dead one and only performed a dead recovery analysis, which likely caused a negative bias in our final survival estimates. We chose to use Seber’s dead recovery model (Williams et al. 2002) implemented in Program MARK (White and Burnham 1999) because we wanted to address not only the influence of harvest restriction on survival probability (Sedinger & Rexstad 1994, Lake et al. 2006), but also the influence of individual- and time varying covariates on survival. There is no straighforward Goodness-Of-Fit test available for this model with covariates. - First, we wanted to address the influence of harvest on survival probability. However, because sampling of harvest before 1973 was inadequate (see above), we did not use observed harvest rate. Rather, we used a meteorological covariate as a proxy for harvest. We expected low temperatures to increase harvest by attracting ducks for longer periods at night on waterbird foraging habitats that are also hunting sites, which would increase the probability of getting shot earlier at night or later in the morning. We therefore included mean temperature of the four coldest months of the hunting season (November to February) in models as a year-specific covariate for survival probability with the a priori hypothesis of a positive relationship between mean winter temperature and survival. - Second, we used weight (wa) as an individual covariate of adult survival probability. Our a priori hypothesis was a positive relationship between weight and survival (Johnson et al. 1992). 7 - RCP captures were performed almost all year round and hunting season before 1973 was extensive, encompassing all months between July and March. Consequently, there were no restricted capture and recovery periods. This raises difficulties for estimation of survival using discrete-time models because survival probability is defined as the probability of surviving over a standard time interval of a given length (e.g. a year). In the current data set, an individual may have been recovered only 6 months after banding. Consequently, we computed a second individual covariate, namely “recovery time-increment” i, to account for the time lag between banding (Figure 1) and recovery date (Figure 2). We chose not to truncate the data set in separate capture occasions, which would increase the number of parameters without taking all the variation in capture date into account. Rather, we defined “theoretical” recovery periods at standard time intervals. We assigned each individual the time-lag between observed and theoretical recovery dates and incorporated this time lag in models of survival probability using an individual covariate. This time-increment (“i”) was computed as the difference in months, on a one-year scale, between recovery month and banding month. Non-recovered birds were affected the mean of the i-values calculated for recovered birds. The larger this time-increment, the later was recovered, and thus the longer the bird survived, compared to theoretical recovery period. Hence, we expected a negative relationship between the time-increment covariate and survival probability. number of ringed RCP 100 80 60 40 20 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec month of ringing Figure 1: monthly frequency of RCP banding captures by Tour du Valat in the Camargue from 1952 to 1976 8 number of recovered RCP 10 8 6 4 2 0 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec month of recovery Figure 2: monthly frequency of RCP recoveries The global model assumed year (t)- and age (a)-specific survival and recovery probabilities (model {S(a,t)r(a,t)}). S and r denoted local survival and recovery parameters, respectively. We compared this global model with reduced models that assumed constant recovery probability and time- and/or individual- varying survival. We conducted a model selection procedure by addressing temporal variation in recovery probability first and then in survival probability, and then by addressing the influence of year or individual covariates on survival. The relative support of the data for the various parameterizations was assessed using an Akaike Information Criterion for small samples (AICc, Anderson et al. 2001). Fecundity estimation Fledging success (fs) We estimated fledging success in two steps. First, we estimated brood and ducklings survival using data from 83 individually identified RCP broods monitored every two weeks on 6 occasions between mid-May and mid-August during breeding seasons 1990, 1991, 2000 and 2001 in the Camargue. Capture-recapture data from broods were encoded according to the statum in which they were resighted: stratum 1 corresponded to broods of unchanged size compared to the stratum in which they were previously resighted, and stratum 2 to broods having lost one duckling. We used a multistate 9 capture-recapture model to estimate brood and duckling survival probability (Schwarz et al. 1993, Williams et al. 2002). Multistate models allowed us to estimate local brood survival (Sbi) and brood capture probabilities (pi) for each stratum i, as well as two transition probabilities ψ 12 andψ 21 : ψ 12 corresponded to duckling mortality (i.e., the probability of loosing one duckling). Reverse transition events were impossible; ψ21 was therefore fixed at zero. Nine broods out of the initial 83 lost two or more ducklings and were excluded from this analysis. We used multistate models implemented in software program MARK (White and Burnham 1999). Because of the relative rarity of RCP as a breeding bird in the Camargue, the occurrence of two or more broods of exact same age and size in the same lake was considered highly unlikely. Each observed brood was therefore identified (or « marked ») by the combination of its age, size and location, taking into account that brood size might decrease when getting older. We surveyed a total of 21 lakes over the 4 years combined. We addressed the influence of year on stratumspecific brood survival probability, as well as of within-season time, and of two individual covariates (laying date and initial brood size, not colinear with each other: r=0.14, n=74). Our a priori hypotheses were the following: - Each year corresponded to a group covariate with a possible effect on all the 5 parameters (Sb1, Sb2, p1, p2, ψ 12 ). However, we hypothesized that the most likely interannual variation would concern capture probability (i.e. in this case detection probability). We expected a difference in detectability between periods 1990-91 and 2000-01, due to major changes in study areas, their environment and brood visibility. - We expected brood and duckling survival to vary with time within the breeding season; we addressed this hypothesis by incorporating a linear time covariate in models. - We expected laying date and initial brood size to affect brood and duckling survival probability. Earlier hatched duck broods generally survive better than later hatched ones (Johnson et al. 1992), although this is not a universal pattern. In contrast, effect of brood size on brood or duckling survival varies or is even null among species (Johnson et al. 1992, Gendron & Clark 2002, Schmidt et al. 2006). There is an obvious systemic link between brood and duckling survival. Consequently, covariate combinations were always kept identical for both parameters, including quadratic effects within season. Laying date was assessed from visual estimation of the brood’s age, based on field criteria defined elsewhere (Office National de la Chasse 1982). 10 We started with a model (Sb(t,g,str),p(t,g,str),ψ(t,g,str)) with state- and time-dependent parameters (Williams et al. 2002) and compared the various models addressing our a priori hypotheses using the AICc. Goodness-of-fit of the initial group-, state- and time-dependent model was assessed using U-CARE (Choquet et al. 2005). In the second step, we used the resulting model (with the largest support according to AICc) to simulate brood and duckling multistate capture-recapture histories to estimate fledgling success over a sample of 365 broods of known age and size observed in the Camargue between 1988 and 2005. Duckling survival probability over two weeks was computed as the complement of transition probability from state 1 to state 2 (1-ψ12). Both brood and duckling survival between encounter occasions (i.e., over two weeks) were computed for each of the 365 broods according to the covariates included in the model with the largest support. The square-root of this value corresponded to weekly survival probability. The number of weeks before fledging was calculated as the difference between fledging age, known to be 7 weeks-old (Snow & Perrins 1998), and observed age of the brood in weeks. As transition probabilities are conditional on survival (Williams et al. 2002), we first simulated survival events for each of the 365 broods and then simulated duckling survival events, which allowed estimation of fledging success for live broods only. Capture-recapture histories of each of the 365 broods were simulated 1000 times ; for each week before fledging of these 1000 histories, weekly survival events was a binomial trial (with the brood weekly survival probability). For each surviving brood in the 1000 simulated histories, brood size was decreased according to duckling weekly survival, for each week between observation and fledging. Fledging success of each of the 365 observed broods was then averaged over the 1000 simulated histories (including brood losses). We then averaged fledging success for each year from 1988 to 2005. We then used this simulated data set of reproductive output to address the influence of covariates on fledging success. Breeding success of RCP in the Camargue had previsouly been shown to be positively influenced by waterdepth and frequency of Chara macrophytes. The latter are supposed to be favoured by temporary rather than permanent flooding (Grillas 1992, Defos du Rau et al. 2005). We thus hypothetized that RCP fledging success would be: - positively influenced by precipitation during the winter and spring preceding breeding season, which favours high waterdepth, 11 - negatively influenced by precipitation during the preceding spring and summer, which enhances flooding permanency during the natural drying-off period (Grillas 1992, Tamisier & Grillas 1994). We addressed both hypotheses using a regression model; covariates were selected using an exhaustive model search based on AICc. For predictive purpose, we included 4 colinear covariates corresponding to each precipitation pattern. However, we only considered models with a maximum of two covariates, one for each precipitation pattern. The precipitation variables corresponded to the sum of winter-spring precipitation from September to April, May, June, July and the sum of precipitation of preceding spring-summer from April or March to June or July. In the population projection model, we used a 1:1 sex-ratio (“sr”) for ducklings (Johnson et al. 1992) and a brood hatching success (“bh”) of 53,2% estimated from 62 RCP nests in Spain by Amat (1982). Following Blums et al. (1996) for Aythya ferina and Anas clypeata, we set the proportion of breeding juvenile birds (“q1”) at 70%. Flint et al. 2006 provided a very similar estimate of 71% for Aythya marila (see also Anderson et al. 2001 for Aythya valisineria). These estimates were not available for RCP. Consequently, we used estimates from closely-related Aythya species. As a first approximation, we arbitrarily fixed adult laying propensity (“q2”) at 100% (as suggested by Blums et al. 1996). We addressed later uncertainty problems on these imported vital rates. Brood loss was only estimated for surveyed broods and was thus negatively biased because some brood losses may have occurred prior to brood field survey. However, effect, variability and uncertainty of this parameter were confounded with effect, variability and uncertainty of our brood hatching success estimate, which might have been within lower range for RCP (Llorente & Ruiz 1985). We considered that double brooding and brood parasitism had a negligible effect on RCP population dynamics. Brood parasitism is a frequent feature of RCP reproduction strategy (Amat 1991) but it is not known to be additional to regular brood rearing by the same female as if it was double brooding. Double brooding itself is only occasional in most duck species (Johnson et al. 1992, Hoekman et al. 2002). Last, renesting after clutch failure is not known in RCP and was ignored. However, renesting is known in many other duck species. Consequently, renesting was accounted for in uncertainty analysis in order to evaluate potential research need on this vital rate. 12 Age-specific fecundities were finally estimated as: F2=q2*sr*bh*fs F1=q1*q2*sr*bh*fs Compensation of harvest (mortality and fecundity) Compensation on mortality A major issue in studies of exploited populations is the detection and modeling of demographic compensation of harvest (Kalchreuter 1996, Lebreton 2005). Harvest is theoretically supposed to be compensated by decreased mortality following the relationship : S=So(1-bH) where S = survival, So = natural survival in absence of hunting, H = harvest rate (including crippling loss) and b < 1 in case of compensation. In fact, harvest compensation by survival remains seldom detected. Thus, the effect of harvest is generally assumed additive (Conroy et al. 2002, Lebreton 2005). We estimated compensation factor b using our estimates of survival and harvest rates for RCP in the Camargue. We applied Devineau et al.’s (2006 & in prep.) allometric method to derive So, a natural survival estimate for RCP in absence of hunting. These authors modeled adult annual survival rates of many Anatidae species as a function of body mass and hunting intensity. Adult survival in the absence of hunting was modeled as a function of log(body mass) for a large sample of non hunted Anatidae species or populations. On the basis of the mean adult body mass calculated from the marked RCP sample from Tour du Valat (943gr., SD = 105gr.), an estimate of natural survival in the absence of hunting was computed for adult RCP (Devineau et al. in prep.) as So = 0.753 (SE= 0.138). We assessed potential compensation effect from mortality with the following inequality : (1-S/So)/H < 1. Compensation on reproductive rates Kalchreuter (1996) hypothesized a possible compensation of harvest through reproductive performance, although this density-dependent relationship has rarely been demonstrated (Lebreton 2005, but see Conroy et al. 2002, Gunnarsson et al. 2006 and Zimpfer & Conroy 2006 13 on Anas density-dependent reproductive compensation and Blums et al. 2002a on harvestdependent recruitment in Aythya ferina). If there is density-dependent compensation in reproductive output, then according to this hypothesis, there should be a positive relationship between harvest rate and reproductive performance in the following breeding season, assuming favourable breeding conditions (Kalchreuter 1996). Indeed, many stochastic environmental factors can mask density-dependent effects on reproductive output (Gunnarsson et al. 2006). Since reproductive performance is generally related to laying date (Johnson et al. 1992, Flint et al. 2006), we assessed the effect of harvest rate from the preceding hunting season not only on mean annual fledging success, but also on mean annual laying date of the subsequent breeding season. Indeed, the latter trait might be less sensitive to stochastic events during the breeding season but more sensitive to intraspecific density-dependent behavioural or social factors (Johnson et al. 1992) like e.g. territorial competition for preferred nesting sites. We included harvest rates into the precipitation models of mean annual fledging success presented above. For the laying date – harvest rate relationship, we only incorporated sum of precipitations during the preceding winter and early spring as an index of potential waterdepth. As for mean annual fledging success models, we used a regression model and addressed the influence of covariates on fledging success with an exhaustive model search approach based on AICc model comparison. We only considered models with a maximum of three covariates in the model selection process. Impact of harvest on population growth rate Demographic invariant method Because of the scarcity of data for many vital rates of RCP, we used a recently developed approach to evaluate the impact of harvest on RCP population growth rate. The demographic invariant method (Niel and Lebreton 2005) provides an estimate of the maximum annual growth rate (λmax) which allows for comparison between the potential excess growth and the estimated total number of harvested RCP. The potential maximum harvestable population fraction allowed by excess growth was estimated following Wade (1998) as P = Nβ (λ max − 1) , where N is the total population size, currently estimated at 50000 individuals (Delany & Scott 2002) and β is a correction factor accounting for the effect of density on demographic performance. β was set at 0.5 as recommended by Wade (1998) and Niel and Lebreton (2005). We estimated λmax following Niel and Lebreton (2005) by solving numerically: 14 λmax=exp([α+So/(λmax-So)]-1) where So is adult survival probability and α is the average age at first reproduction, both under optimal growth condition. α was estimated at 1.3 year, assuming 70% birds first breed on their first year (Blums et al. 1996) and the remaining on the next. P can be interpreted as the maximum number of RCP that can be harvested by any non-natural source of mortality, including hunting, without causing decline of the population. However, this estimate of P only allows diagnostic of unsustainable harvest, but does not provide confirmation of sustainable exploitation (Niel and Lebreton 2005). Relationship between generation time and elasticity The following relationship expresses change in survival (and ultimately in growth rate λ) as a function of change in harvest rate: S=So(1-bH) (Gauthier & Lebreton 2004, Lebreton 2005). This relationship takes advantage of the direct link between mean generation time T and elasticity of λ to fecundity and adult survival (Lebreton & Clobert 1991). Assuming additive mortality (i.e., b = 1) and equal harvest rates of juveniles and adults, the relationship given by Gauthier & Lebreton (2004) between changes in harvest rate and in growth rate is the following: Δλ = − λ * ΔH 1− H We used this approach to estimate changes in RCP population growth rate caused by three past or potential changes in harvest regulation in France: - wildfowl hunting banned in March from 1979 onward, - wildfowl hunting banned between February 10 and 28 from 2000 onward, - wildfowl hunting currently expected to be banned in the whole February. To quantify harvest decrease due to hunting bans over some time period, we used the overall distribution of RCP harvest summed over the sampled years, by period of ten days. We deduced the proportion of banned harvest. 15 Sensitivity analyses Although controversial (Mills et al. 1999), the comparison of sensitivities of population asymptotic growth rate to variation in vital rates provides preliminary insight into relevance of research or management actions; controversy can be avoided if conclusions are carefully interpreted and recommendations take cost and realism of actions into account (Ferrière et al. 1996, Benton & Grant 1999, Heppell et al. 2000, Ehrlén et al. 2001, Fieberg & Ellner 2001, Link & Doherty 2002). We performed a sensitivity analysis of the growth rate of the closed European RCP population to changes in the lower-level demographic parameters. Because we wanted to estimate sensitivities to variation in both survival and harvest rates, which are expected to have comparable elasticities but different values, we used arcsin scaled variance-stabilized sensitivities (Link and Doherty 2002). This allows changes in λ to be partially, yet largely independent from parameter values. This approach is designed for demographic parameters that are bounded by 0 and 1, which was the case in our matrix model with the exception of fledging success, for which we assessed only regular elasticity. In the absence of data on European harvest levels, we assumed that harvest-driven mortality at the European scale was additive to natural mortality (i.e., b = 1). H was deduced from So and our dead-recovery estimate of adult survival. Parameter uncertainty analysis Improving evaluation of the research needs on RCP demography in Europe was one of our main objectives. We conducted a parameter uncertainty analysis based on the methodology developped by Hunter et al. (2000) using our model for European RCP population. We started with a female initial population size of 25000 structured according to the stable age distribution predicted for European population. In order to evaluate research needs concerning every parameter in a hypothetical population projection model that would be well suited for a population thoroughly known (Table 2), we increased complexity of our model and incorporated adult renesting propensity (q3) after clutch loss. After Hoekman et al. (2002), we used the following formula:F2 = f*sr*p*q2*(1+(1-p)*q3) 16 Parameter data source imported or fixed value adult survival s2 estimated See results fledging success f estimated See results natural survival so Devineau et al. in prep. harvest rate H estimated See results first year survival s1 estimated See results brood hatching success p Amat 1982 0.532 immigration rate m arbitrary 0 renesting propensity q3 Flint et al. 2006 0 adult breeding propensity q2 Anderson et al. 2001 first year breeding propensity q1 sex-ratio at birth sr Blums & Mednis 1996 Blums et al. 1996 0.753 1 0.7 0.5 Table 2: parameters used in RCP demography model We used parameter values estimated using the above approaches, values from the litterature when data from RCP were missing, or arbitrary values when nothing was known (e.g. sex ratio at birth), and ran the model once to obtain a mean value of λ (λmean). Then we ran the model for each parameter lower and upper limit successively, over 20 time steps. For each parameter, we obtained a lower and an upper estimate of λ (more precisely, λmin and λmax). We then computed the following uncertainty coefficient for each parameter: |λmax- λmin|/ λmean. This coefficient was used as a basis for drawing recommendations for research priorities. Comparison of population projection scenarii under environmental stochasticity We built a stochastic matrix population projection model for the Camargue RCP subpopulation to evaluate alternative scenarii in a variable environment context. To do so, we modeled survival and fledging success as a function of meteorological covariates (Fieberg & Ellner 2001). This model had the same stage structure as the deterministic model. For each scenario, we ran models 5000 times for 20 time-steps and recorded the mean stochastic growth rate (the mean of the observed growth rates of all runs). Starting from the current stable-stage distribution of 560 brood-rearing females, we compared growth rates corresponding to different scenarii: (i) - The deterministic version of the population projection model, 17 (ii) - The stochastic version of the model incorporating a relationship between meteorological conditions (winter temperature, precipitation in the current winter-spring and the preceding breeding season) and demographic parameters (survival, fledging success, respectively). Meteorological data from 1945 to 2004 have been collected by Météo-France (French state meteorological agency), (iii) - The same stochastic model incorporating a harvest compensation process, (iv) - The stochastic model incorporating a February hunting ban as a possible future harvest regulation, either as a fixed decrease in harvest rate (set at the mean of the time series of change in harvest rate) or as a random variable sampled over the same time series, (v) - The stochastic model incorporating the effect of predicted local climate change by Arpège climate model of Météo-France (Gibelin & Déqué 2003). Météo-France developed two scenarii of strong and moderate climate change under the Arpège climate model. We assessed effect of the most conservative one (i.e., with moderate climate change) on the stochastic growth rate of the Camargue RCP subpopulation over the next 20 years. RESULTS Survival rates estimation The lowest-AICc model included three covariates (Table 3): individual weight, age, and time lag between banding and recovery period. Results were consistent with our a priori hypotheses about the effect of these variables on survival probability (Table 4). Effects of these variables were non significant but were used as the best predictive model to estimate survival over the periods of interest. 18 Number of estimated Model AICc ΔAICc AICc Weights parameters Deviance S(age,winter temperature,adult weight,i,.)r(.,.) 357.69 0 0,45 6 345.37 S(age,.)r(.,.) 358.91 1.22 0,24 3 352.82 S(age,adult weight,i,.)r(.,.) 359.74 2.05 0,16 5 349.51 S(age,i,.)r(.,.) 359.93 224 0,15 4 351.78 S(age,t)r(.,.) 468.24 110.55 0 55 329.32 S(age,t)r(age,.) 471.39 113.70 0 56 329.28 S(age,t)r(age,t) 674.76 317.07 0 108 311.61 Table 3. Model selection for age-dependent RCP apparent/local survival from the Camargue, France, 1952 – 1979. Results provided evidence that mean winter temperature and, for adults, individual weight positively influenced RCP survival but there remains substantial uncertainty concerning this influence, as shown by the relatively large estimated standard errors of the parameter estimates. With this limitation in mind, using a mean adult weight of 943g and a theoretical time-increment of zero, we then obtained predicted annual adult and juvenile RCP survival probability. Using an environmental covariate (here mean winter temperature), we obtained model-based estimates of survival probability not only for the 1952- 1978 period, but also for the more recent period (following an approach advocated by Fieberg & Ellner 2001). For the sake of simplicity, and also because of the heterogeneity of our various data sets on RCP, we chose not to use individual survival probability predicted from individual weight. Rather, we relied on a mean value at the population level. The former approach may be useful in detailed demographic studies where data from individual heterogeneity in life history traits are available (Cam et al. 2002). Model stucture Estimate SE 95% CI S Intercept -8.449 3.772 -15,841 -1,056 Temperature 0.613 0.332 -0,038 1,263 adult weight 0.004 0.003 -0,001 0,009 time-increment i -0.006 0.080 -0,163 0,151 S first year 4.877 2.416 0,142 9,612 r Intercept -1.703 0.170 -2,037 -1,369 Table 4 Slope parameter estimates for the model with the largest support for RCP local survival from the Camargue, France, 1952 - 1979 19 Estimates of mean survival rates for adults and juveniles, respectively, were the the following for the 1952-1978 period (SD calculated over the interannual predictions from mean winter temperature during this period): Sad=0.546 (0.125), Sjuv=0.758 (0.113). Juvenile survival appeared surprisingly higher than adult’s, which is reverse to the general pattern of other Anatidae species (Johnson et al. 1992). Fecundity estimation The goodness-of-fit test indicated that the multistate model for brood survival fitted the data satisfactorily for year 1990 (χ² = 0.41, df = 2, P = 0.82), 1991 (χ² = 1.33, df = 4, P = 0.86) and 2001 (χ² = 1.13, df = 5, P = 0.95). GOF test statistics could not be estimated for year 2000 due to absence of state 2 (i.e. no observed loss of one duckling). However, goodness-of-fit test for pooled groups of years 2000 and 2001 indicated satisfactory fit (χ² = 1.07, df = 5, P = 0.96). This pooling of years 2000 and 2001 corresponded to one of our starting a priori hypotheses. 20 Nunber of estimated Model Sb(da,pu,pu²,tlin,.,.),p(.,G,.),ψ(da,pu,pu²,.,.,str) AICc ΔAICc AICc Weights parameters Deviance 189.33 0.00 0.90 11 164.33 Sb(da,da²,pu,pu²,tlin,.,.),p(.,G,.),ψ(da,da²,pu,pu²,.,.,str) 193.97 4.64 0.09 13 163.74 Sb(pu,pu²,tlin,.,.),p(.,G,.),ψ(pu,pu²,.,.,str) 198.88 9.54 0.01 9 178.88 Sb(tlin,.,.),p(.,G,.),ψ(.,.,str) 201.87 12.54 0.00 5 191.23 Sb(tlin,G,.),p(.,G,.),ψ(.,.,str) 203.55 14.22 0.00 6 190.65 Sb(tlin,G,.),p(.,G,.),ψ(tlin,.,str) 203.65 14.32 0.00 7 188.43 Sb(.,G,.),p(.,G,.),ψ(.,.,str) 203.96 14.62 0.00 5 193.32 Sb(.,G,.),p(.,G,.),ψ(tlin,.,str) 204.00 14.67 0.00 6 191.10 Sb(pu,tlin,.,.),p(.,G,.),ψ(pu,.,.,str) 204.91 15.58 0.00 7 189.69 Sb(.,G,str),p(.,G,.),ψ(.,.,str) 207.52 18.19 0.00 7 192.30 Sb(.,G,str),p(.,G,.),ψ(.,G,str) 209.75 20.42 0.00 8 192.17 Sb(.,g,str),p(.,G,.),ψ(.,g,str) 222.29 32.96 0.00 14 189.35 Sb(.,g,str),p(.,g,.),ψ(.,g,str) 225.56 36.23 0.00 16 187.01 Sb(.,g,str),p(.,.,.),ψ(.,g,str) 232.70 43.37 0.00 13 202.47 Sb(.,g,str),p(.,g,str),ψ(.,g,str) 23656 47.22 0.00 20 185.92 Sb(t,g,str),p(t,g,str),ψ(t,g,str) 295,53 106,20 0,00 40 159,94 Table 5 : multistate models for biweekly brood survival with possibility for brood size to stay constant (stratum 1) or to decrease by one duckling (stratum 2), in the Camargue, France, in 1990, 1991, 2000 and 2001. Model notation: Sb = bi-weekly brood survival, p = brood resighting probability, ψ = brood transition probability from size n to n-1, g = year (1990, 1991, 2000,2001), G = year group (1990&1991 vs 2000&2001), str = stratum, t = time, tlin = linear time, da = laying date, pu = brood size One model for brood survival received unambiguously a larger support than all the others, with an AICc weigth=0.90 (Table 5). As suspected, detection probability differed between earlier (1990-1991) and more recent (2000-2001) monitoring periods. Brood and duckling survival did not vary with year. We found evidence that brood survival decreased linearly with time within season. Both brood and duckling survival varied with laying date, as well as brood size, and in a similar way. Again, there remains substantial uncertainty concerning these relationships, as shown by the relatively large SE of the parameter estimates (Table 6). Both brood and duckling survival (1- ψ12) increased with brood size (pu) and late laying date (da), which is reverse to a general (but not universal) pattern in ducks (Johnson et al. 1992). 21 Estimate SE Sb intercept 7.53 4.53 -1.34 16.40 Sb:pu -0.12 0.43 -0.96 0.72 Sb:pu² 1.08 0.62 -0.14 2.29 Sb:da 1.80 0.94 -0.04 3.63 Sb: tlin -1.96 1.09 -4.11 0.18 p intercept -1.09 0.35 -1.78 -0.40 p: G 1.65 0.67 0.34 2.95 Psi intercept 0.00 0.82 -1.61 1.62 ψ12: pu -2.67 2.22 -7.02 1.67 ψ12: pu² -4.13 2.19 -8.43 0.17 ψ12: da -1.85 1.12 -4.05 0.34 ψ21 95% CI fixed to zero Table 6 : parameter estimates of RCP brood survival from the Camargue, France, 1990, 1991, 2000 and 2001. Parameters estimated under the multistate model with the largest support. We then simulated brood survival and size at fledging 1000 times for each of the 365 RCP broods sampled from 1988 to 2005. This provided an annual estimate of fledging success. Mean fledging success for this period was 2.99 (SD = 0.19). Furthermore, fledging success varied according to precipitation. Fledging success was positively influenced by the sum of precipitation from September to July of the breeding season (slope parameter estimate =0.0027, F=14.27, p=0.002, df=1) and negatively influenced by the sum of precipitation from March to June of the preceding year (slope parameter=-0.0084, F=11.74, p=0.004, df=1). Thanks to models of fledging success as a function of precipitation, it was possible to predict fledging success (and thus fecundity) over longer periods of time from which data from reproductive success were not available. Covariation between vital rates Covariation between demographic parameters may be a problem in matrix population models (van Tienderen 1995), especially if traits are involved in trade-offs or vary according to the same environmental variables (Hoekman et al. 2002). We were obviously concerned with the latter issue (because we intended to use stochastic versions of the population projection model based on meteorological time series; see below). Consequently, we checked Pearson correlation 22 coefficients between fecundity and annual survival preceding, encompassing and following breeding season over the n=58 years for which available meteorological data were available. Correlation coefficients were clearly small (Table 7), which provided evidence of independence of the estimated demographic time series. r p-value survival following breeding -0.12 0.36 survival encompassing breeding 0.08 0.53 survival preceeding breeding -0.15 0.26 Table 7 : Pearson correlation coefficients between fecundity and survival as estimated under models including meteorological covariates (n=58). Model validation Camargue subpopulation Using estimated or mean vital rates from the literature, we ran the two-stage matrix model for 108 time steps to simulate numbers in the RCP Camargue breeding population between 1894 and 2001. We set the 1894 settler population in the Camargue at 3 adult females, assuming a detection probability similar to that of year 2001, and a brood hatching success of 53.2%, as estimated by Amat (1982) for RCP in South-Western Spain. Using mean vital rate values, the matrix population model was: ⎡0.4219 0.4341⎤ ⎢0.7580 0.5460⎥ ⎣ ⎦ The projected number of females RCP using the model was equal to 1656 for the Camargue in 2001. The corresponding asymptotic population growth rate was λ=1.06 (SE=0.21). Using the adult proportion given by the stable stage distribution of 59.55% and a brood hatching success of 53.2% (Amat 1982), we obtained an estimated brood abundance of 525 for 2001 in the Camargue. This result was in agreement with the corresponding field survey estimate of 560 broods by Defos du Rau et al. (2003). We also set immigration rate arbitrarily at 0.001 and 23 obtained a brood population size estimate of 586, which was also very close to the actual estimated breeding females abundance. Western and Central European population To further assess our matrix model projection performance, we compared projected population size to published Western and Central European RCP population estimates over a period of comprehensive, regular data collection (Table 1). We ran the same matrix model as for the Camargue subpopulation except that we initiated it with a population size of 10000 females and used climate-based predictions of survival rates averaged over the corresponding decades, i.e. 1980-2002 (SD calculated over the interannual predictions from mean winter temperature during this period): Sad= 0.583 (0.139), Sjuv= 0.784 (0.101). 30000 RCP abundance 25000 20000 15000 10000 5000 0 198694 1995 1996 1997 1998 1999 2000 2001 2002 Figure 3 : Central and Western European population trends of RCP projected by the two-stage matrix model (O) and published estimates based upon mid-winter International Waterbird Censuses coordinated by Wetlands International (z) 24 As for the Camargue subpopulation, at the European population scale, projected numbers were close to the corresponding survey-based estimates (Figure 3). Both simulated and observed demographic trends suggested a marked increase of RCP abundance in Europe over this period: λ=1.12 (SE=0.22). However, the increase rate was poorly estimated (poor precision on λ). Compensation of harvest From 1988 to 2005, the estimated harvest rate of RCP averaged 17.4% with strong interannual variations (SD = 13.8%). Compensation on mortality Using average adult survival and harvest rates from 1988 to 2005, the estimated compensation factor b = 1.080 suggested additive effect of harvest on RCP natural mortality in the Camargue. We thereafter approximateed survival rate S as follows: (1-So)H. Compensation on reproductive rates As expected, estimated fledging success was negatively influenced by laying date (r = -0.424, F=78.59, p<0.001, df=1, n = 361). We log-transformed annual harvest rates because of unfavourable ratio of mean to variance. The model including log(harvest rate) received support (Table 8, Figure 4) whereas models of precipitation did not (Table 8). Number of estimated parameters AICc ΔAICc ln(harvest rate) 2 91.72 0.00 ln(harvest rate) sept-jan precip. 3 93.89 2.17 ln(harvest rate) sept-feb precip. 3 94.14 2.43 ln(harvest rate) sept-mar precip. 3 94.15 2.44 ln(harvest rate) sept-apr precip. 3 94.42 2.70 sept-jan precip. 2 113.36 21.64 sept-mar precip. 2 113.82 22.10 sept-feb precip. 2 113.91 22.19 sept-apr precip. 2 114.00 22.29 Table 8 : regression models for mean annual laying date of RCP in the Camargue as a function of log(harvest rate) and sum of precipitation from preceding winter, from 1988 to 2005. 25 70 mean laying date 60 50 40 30 20 10 0 0 0.1 0.2 0.3 0.4 0.5 0.6 harvest rate Figure 4 : mean annual laying date of RCP in the Camargue from 1988 to 2005 as a function of annual harvest rates estimates. Regression line: mean laying date as a linear function of harvest rate logarithm (r² = 0.763). The relationship between harvest rate and mean laying date (r² = 0.763, Figure 4) provided evidence of density-dependent reproductive compensation of harvest in the Camargue population of RCP. We further addressed compensation in reproductive parameters by addressing effect of harvest rate on mean annual fledging success, which we had found to be a function of precipitation sums over the preceeding months. After checking that harvest rate was not colinear with any precipitation covariate, we compared regression models of fledging success using the exact same precipitation covariates and logarithm of annual harvest rate (Table 9). 26 Number of estimated parameters sept-jul precip. mar-jun precip. Year-1 ln(harvest rate) sept-jul precip. mar-jun precip. Year-1 sept-jul precip. ln(harvest rate) sept-jul precip. mar-jun precip. Year-1 ln(harvest rate) mar-jun precip. Year-1 ln(harvest rate) AICc ΔAICc 3 27.40 0.00 4 28.68 1.28 2 33.38 5.98 3 34.59 7.19 2 35.22 7.81 3 36.41 9.01 2 41.55 14.15 Table 9 : regression models for mean annual fledging success of RCP in the Camargue, from 1988 to 2005 as function of log(harvest rate) and sum of precipitation from March to June of the preceding year and from September to July of the current breeding season. Compared to environmental covariates, harvest rate had only a marginal influence on fledging success. Nevertheless, it was included in a model with substantial support (ΔAICc=1.28, r² = 0.737) in which its effect on fledging success was positive, although non significant (slope = 0.19 95%CI = [-0.11,0.50]). Overall, harvest rate appeared to be compensated for by reproductive output, but its influence was more pronouced on laying date than in fledging success. The latter was also dependent on other environmental factors, which may mask harvest effect. We did not find evidence of increased harvest when breeding season was successful (large number of duckling fledged; r = 0.256, F =0 .98, p = 0.339, df = 1, n = 16), which would lead to a large proportion of vulnerable ducks in early hunting season because of inexperience (Clarck et al. 1988). Similarly, we did not find evidence of an influence of laying date on harvest rate (r = 0.404, F = 2.72, p = 0.121, df = 1, n = 16); late laying date would also lead to increased proportion of vulnerable ducks in early hunting season because of poor condition of adults. Impact of harvest on population growth rate Demographic invariant method We estimated λmax = 1.54, which yield in turn an estimate of maximum harvestable population fraction P = 13500. From 1988 to 2005, the estimated total harvest of RCP in the Camargue was 27 on average 807 birds, with strong interannual variation (SD = 422). Assuming a similar change in harvest bags in France and Spain compared to the last bag evaluation in the mid-80’s (Shedden 1986), the total current European RCP bag is approximately 9223 birds. This value represents 68% of the maximum sustainable harvestable population fraction estimated using the Demographic invariant method. However, our reasoning is based on assumed change in harvest bags in Spain, an assumption that may not be realistic. Relationship between generation time and elasticity This approach aimed at evaluating impact of harvest on population growth rate in the Camargue (France). It assumed additive mortality (as shown above). We therefore used the Camargue twostage matrix model with λ=1.060. Corresponding mean generation time was computed using the ULM software: T = 2.241. We used the previously estimated Camargue harvest rate of 17.4% and plotted Δλ as a linear function of small to moderate values of ΔH (Figure 5), using the following equation: Δλ = -λΔH/(1-H). In the same graph, we plotted estimated changes in harvest rate and corresponding changes in λ following hunting bans in March, 10-28 February and 1-10 February. 28 corresponding change in lambda 0.14 0.12 0.1 0.08 0.06 0.04 March ban 0.02 0 -0.12 10-28 Feb ban 1-10 Feb ban -0.10 -0.08 -0.06 -0.04 -0.02 0.00 change in harvest rate Figure 5 : Change in growth rate of Camargue RCP subpopulation as a function of change in harvest rate regulation. Predicted impact of 2 past hunting bans (March and 10-28 February) and one likely further ban (1-10 February) on Camargue subpopulation growth rate. The hunting ban on March appeared to have been the most effective in increasing the French RCP subpopulation growth rate: change in λ was Δλm=0.0408. In contrast, a hunting ban from 1 to 10 February would have relatively little influence on population growth rate. To check this, we re-estimated survival probability in the Camargue after modifying artificially the data set: we replaced March hunting recoveries by unrecovered histories and reran the deadrecovery capture-recapture model . We obtained a larger estimated mean survival rate Sad = 0.584 (compared to the estimate obtained using the original data set). We interpreted this value as the hypothetical survival probability under March hunting ban. We used the two survival probabilities successively in the population projection matrix model. We projected the population over a 20 year time interval, starting from the Camargue population size previously obtained for year 1979 using the unmodified population matrix model (njuv=172, nad=253). Under liberal harvest (hunting allowed in March), λl=1.0609, whereas under restrictive harvest (hunting allowed in March), λr=1.1017. Interestingly, the difference between the growth rates λr 29 and λl obtained using estimates of survival probability based on dead recovery data matched exactly to the change in growth rate that would be predicted if we removed the March harvest fraction from the harvest survey data set: λr - λl = 0.0408 = Δλm . We believe that our evaluation of growth rate change due to harvest ban in March is robust: we obtained the same result using two independent data sets. Sensitivity analyses Sensitivities calculated on the arcsine scale gave some results different from classical sensitivities, notably for harvest and first-year survival rates (Table 10). However, both sensitivities rated sex-ratio at birth and brood hatching success as influential parameters, of course within the range of their assumed values. Adult survival had the highest rating for both scales of sensitivities, which is consistent with what we expected . parameter sensitivity elasticity sensitivity (arcsin scale) origin of data management opportunities s2 adult survival 1.074 0.560 0.474 estimated sr sex-ratio at birth 0.982 0.440 0.440 arbitrary p brood hatching success 0.923 0.440 0.412 imported X f fledging success 0.164 0.440 estimated X so natural survival rate 0.831 0.560 0.321 estimated H harvest rate -0.808 -0.163 -0.303 arbitrary s1 first-year survival 0.626 0.440 0.231 estimated m1 first-year fecundity 0.345 0.172 0.153 composite m2 adult fecundity 0.376 0.268 0.136 composite q1 first-year breeding % 0.274 0.172 0.112 imported X Table 10: Sensitivity of growth rate of RCP European population to changes in demographic parameters. Potentialities for data improvement or management actions are suggested. Parameter uncertainty analysis Parameters SE were either estimated or came from the literature (as indicated in Table 11). In most cases 95% Confidence Interval boundaries were used as parameter lower and upper uncertainty limits. A few limits were changed to more realistic values when 95%CI were unrealistic (e.g. survival rate upper boundary > 1 or harvest rate lower boundary < 0). When 30 confidence intervals were not available, such as for immigration probability, we set an arbitrary upper limit to 20%. lower upper estimate SE limit limit sources of limit parameter uncertainty estimates coefficient adult survival s2 0.583 0.139 0.311 0.855 estimated 0.525 fledging success f estimated 0.460 natural survival so 0.753 0.138 0.482 0.990 Devineau et al. in prep. 0.379 harvest rate H 0,.258 0.138 0.000 0.497 estimated 0.361 first year survival s1 0.784 0.101 0.586 0.982 estimated 0.222 brood hatching success p Amat 1982 0.204 immigration rate m 0 0.000 0.200 arbitrary 0.190 renesting propension q3 0 0.078 0.000 0.665 Flint et al. 2006 0.078 adult breeding propension q2 1 0.740 1.000 Anderson et al. 2001 0.074 Blums et al. 1996 0.044 2.989 0.797 1.427 4.551 0.532 0.063 0.408 0.656 first year breeding propension q1 0.7 0.045 0.612 0.788 sex-ratio at birth 0.5 0.010 0.480 0.520 Blums & Mednis 1996 sr 0.035 Table 11 : Parameter uncertainty analysis of RCP European population, including parameters of unknown importance and not included in the original matrix models. Most lower and upper limits are CI limits of the corresponding parameter. Based on uncertainty coefficients, improving estimation of the following parameters appears a research priority : adult survival probability, fledging success, survival probability in the absence of hunting and harvest level. This is consistent with the large SE estimates of population growth rate computed from our matrix models at the Camargue and European scales. Comparison of scenarii under environmental stochasticity We used three scenarii of RCP demography in the Camargue (i) According to previous results, fledging success was found to compensate for harvest mortality to some extent. Consequently we modelled fledging success as a linear function of the logarithm of the harvest rate and precipitation covariates (i.e., based on the model with ΔAICc=1.28 in Table 9). 31 (ii) Under conservative scenarii of the Météo-France Arpège climate model, from 1987 to 2027 there was no trend in precipitation covariates used in models of fledging success either in mean or in SD values. Conversely, mean winter temperature, a covariate in models of survival probability, showed a significant increase over the period 1987-2027 ( r²=0,237, p=0,0015, n=40). Consequently we compared stochastic growth rate of RCP Camargue subpopulation under current vs predicted increased mean winter temperature. Mean winter temperature values were drawn at random from a normal distribution parameterized according to the current or predicted mean winter temperature distributions. (iii) We calculated annual change (ΔH) in harvest rate by removing RCP killed between February 1 and 10 from total harvest. The observed ΔH approximately followed a gamma distribution. We therefore modelled ΔH as drawn at random from a gamma distribution of shape parameter equal to the observed mean of the harvest change time-serie (0.39%) and a scale parameter set to 1. We also considered a scenario where annual ΔH under ban from February 1 to 10 would be equal to its observed average (0.39%): the corresponding hunting ban would cause a fixed annual harvest decrease. Last, we incorporated the following relationship in the matrix model under the expression: ΔS = -So* ΔH (following Gauthier & Lebreton 2004). ΔS was added to both first-year and adult survival rates when considering the hunting ban scenario. Mean stochastic growth rates of the 5 scenarii are shown in Figure 6. We stress the fact that we were only interested in the comparison between the resulting growth rates and not in the growth rate estimates themselves (Fieberg & Ellner 2001). The impact of short-term climate change appeared to affect RCP growth rate in the Camargue in a much stronger way than a hunting ban in the first ten days of February. Such a hunting ban would have only a marginal impact on RCP future demography, compared to future climate changes in the Camargue modelled by MétéoFrance France (Arpège climate model; Gibelin & Déqué 2003). 32 mean stochastic growth rate E A B C D Figure 6: stochastic growth rates (averaged over 5000 runs) and their 95%CI for RCP Camargue subpopulation for different demographic and environmental scenarii over the next 20 years. Values in Y-axis are not shown : we focused on comparisons of growth rate estimates rather than on the estimates themselves (see methods). X-axis at λ=1. A: basic stochastic scenario B: stochastic scenario with random effect of hunting ban from February 1 to 10 C: stochastic scenario with mean effect of hunting ban from February 1 to 10 D: stochastic scenario with harvest compensation by fecundity E: stochastic scenario under predicted climate change from 1987 to 2027 DISCUSSION As a rare game duck, RCP is of strong research and conservation concern. The main objectives of this study were to increase our understanding of RCP dynamics under exploitation, to assess the sustainability of RCP hunting, to infere management, and most importantly, research recommendations, and to make short-term projections of RCP population dynamics while accounting for environmental covariates. 33 (i) - Are there compensatory mechanisms to harvesting ? As in many other modelling studies of wildfowl exploitation (Lebreton 2005), we did not find evidence of compensatory mortality. However, as seems to be less commonly the case (Lebreton 2005), we found substantial support for the compensatory reproduction hypothesis (Kalchreuter 1996) through a functional link with laying date. Blums et al. (2002a) formulated a similar hypothesis of reduced competition for breeding territories following high harvest levels, and indeed they found a similar pattern in the related species Aythya ferina. However, the indirect influence of harvest level on reproductive output remains unclear; because of the low precision of the slope parameter and the relatively weak effect of harvest rate on fecundity, we chose not to incorporate this density-dependent feedback in the matrix population model. Incorporating potentially spurious density-dependence might have had strong impact on model outcomes (Reed et al. 2002). - (ii) - What is the relationship between harvest levels and RCP population dynamics? Because of large sampling variance of our vital rate estimates, RCP population growth rate estimates were imprecise at both European and Camargue scales. In spite of relatively high values of λ, we were not able to confirm the general tendency of strong RCP population increase: both 95%CI of growth rates included 1. Similarly, the fact that estimated European harvest levels were well below the predicted maximum sustainable harvest level does not mean that current RCP hunting is sustainable (Niel & Lebreton 2005), all the more as long as up-to-date harvest data are lacking for Europe. Unless the consistency between the projected numbers from the population matrix model and the observed census data at both scales (Figure 3) is a coincidence, such a consistency showed that our matrix model and initial population values were reasonable and realistic. Assuming that our model is realistic, results of the modelling exercise supported the hypothesis of a general increase in RCP populations. Hunting ban in March had probably contributed to this upward trend through its relatively strong (4%) impact on growth rate. Thus, there is currently no evidence of unsustainable exploitation of RCP in Europe, although this remains to be confirmed using more precise parameter estimates notably through implementation of the following recommendations. - (iii) - Which recommendations are prioritized by perturbation analyses? Information from sensitivity analysis and management opportunities suggests that breeding habitat management may be the best management option to increase RCP population growth rate. In addition, as expected for a mortality-related factor, results of sensitivity analyses provided evidence that 34 management of harvest levels should influence population growth rate. This result was more pronounced in arcsine-scaled sensitivity analysis (Link & Doherty 2002) than in traditional sensitivity analysis. However, results of any class of sensitivity analysis can be used to design reliable management actions on condition that parameters are estimated with sufficient precision. The hypothetical influence of variation in demographic parameters on population growth rate may also reflect the consequences of poor knowledge of the location of such parameters and range of variation. Thus, given the heterogeneity of data sources we used, we suggest that parameter uncertainty analyses provided more relevant results than sensitivity analyses : estimation of adult survival, fledging success, natural survival in the absence of hunting and harvest rate are research priorities. We advocate the development of two research projects focusing on demography of harvested RCP: (i) implementation of a nasal mark-recapture survey to increase precision on survival rates and harvest rates. (ii) Development of monitoring field surveys to increase precision on reproductive vital and harvest rates. The latter are particularly relevant to proper RCP population dynamic modelling. Indeed, our results suggested that harvesting influences survival in an additive way, and also reproduction in a density-dependent way. In this context, allometric analyses did not provide enough precision on estimate of natural survival in the absence of hunting. The predictive performance of allometric models needs to be improved. In addition, in conjunction with a mark-recapture design, a temporary or spatial partial experimental ban on hunting would contribute to estimate natural survival in the absence of hunting. Such large-scale experiment, inspired from the North American Adaptive Management of waterfowl, would be of great value to reduce uncertainty in our understanding of RCP demography. - (iv) - What are the projections from different parameterizations of the population matrix model? Assuming a persistent relationship between survival rate and mean winter temperature, the main conclusion from our stochastic modelling analysis was that a scenario of moderate climate change might overcome any change in management of RCP, including hunting regulation. That is, such regulation might be useless in a context of temperature rise. However, readers should keep in mind that the differences among growth rates under various short-term simulations documented here are only of qualitative interest. For example, it is unlikely that the relationship between survival and mean winter temperature remains unchanged across a wide 35 range of increased temperature values. Consequently, the quantitative difference between the climate change scenario and the other scenarii is unlikely to remain unchanged. Importance of detection issues in census dataset At the Camargue subpopulation scale, we used breeding pair census to validate results from population projection models (i.e., to assess the degree of agreement between projected numbers of RCP and numbers estimated from field data). We used an approach to estimation of female breeding population size correcting observed breeding pair numbers for detection probability (Williams et al. 2002). Accounting for imperfect detection of individuals or broods may be particularly important in species like RCP, where broods have cryptic habits (Defos du Rau et al. 2003). It is interesting to note that the discrepancy between projected and observed population size would have been equal to 103% if we had used the census data set uncorrected for detectability (2 females in 1893 and 90 in 1990 (Dehorter & Rocamora 1999)). The discrepancy was of 6% with census data adjusted for detectability. Would we have used uncorrected census data, we would have concluded that our matrix model was not reasonable and we would have modified it to match biased observed breeding numbers. Using estimates of breeding female population size made with models accounting for detectability also provided a more realistic initial population size. This is fundamental to demographic modelling. Indeed, PVA models are highly sensitive to errors in census estimation (McLoughlin & Messier 2004). At the European scale, we did not validate the population projection model using census but published population estimates. It is however likely that census of this gregarious and conspicuous bird in winter suffer from much less detection biases than breeding bird census. Limitations of our approach We followed several recommendations put forward by Fieberg & Ellner (2001) and Reed et al. (2002): parametric matrix as opposed to random transition matrix, explicit relationship between variation in vital rates and variation of environmental covariates, explicit relationship between these covariates and management factors (e.g., harvest rate), assessment of the hierarchy in projected breeding numbers under different scenarii rather than comparison of numbers. 36 Most importantly, we validated our model using two independant data sets (the Camargue and Western European ones). However, our estimates of some demographic parameters had large standard errors (i.e., adult or brood survival), which resulted in large imprecision on growth rates estimates. Furthermore, the capture-recapture data from banded RCP have been collected under a design that did not conform to basic recommendations concerning length of capture sessions and time intervals between sampling occasions. RCPs were captured and marked during several months each year, and were recovered during several months each year. Consequently, if two individuals were banded in year i and captured in year i + 2 for example, there may be a large difference between the number of months the two individuals survived (several months). We tried to overcome this problem using a time increment between realized and theoretical recapture (i.e., the occasion at which the individual would have been recovered if recoveries had occurred at the same fixed discrete time intervals than capture over the entire study). We used this increment as an individual covariate but the possible biases of this approach have to be thoroughly addressed. Some other parameters used in the population projection model had a relatively weak basis, mostly because their sampling in the field is difficult. In addition, we assumed maximal breeding propensity in adults, no renesting and no immigration. None of these assumptions were addressed using empirical data; whether this is feasible is unclear for the Camargue and European scale. However, we made this null immigration assumption because breeding habitats in the Camargue had been found overfilled by RCP (Defos du Rau et al. unpublished/in prep.), which implies that installation of new settlers is unlikely. Camargue RCP subpopulation was thus assumed to be open to emigration rather than immigration. Last, the consequences of uncertainty in these parameters was evaluated and found of lesser importance than uncertainty on other parameters (e.g., survival probability). Particularities of RCP demography In this study, we estimated several demographic parameters of RCP for the first time. Several traits were consistent with patterns generally found in wildfowl, but some other traits were original: 37 - Higher survival in juveniles than in adults. Contrary to a very general pattern in wildfowl (Johnson et al 1992, Anderson et al. 2001, Arnold et al. 2002, Lake et al. 2006), our estimate of survival probability was higher in first-year RCP than in adults. This does not support the hypothesis of larger dispersal probability of first-year compared to adult wildfowl (Batt et al. 1992), unless this dispersal pattern is reinterpreted as a temporary emigration out from hunted areas. RCP is hunting over a restricted part of his wintering range. It is thus possible for RCP to winter in hunting-free areas. If juvenile emigrates temporarily during hunting season but show natal phylopatry, they should then avoid harvest mortality and thus have increased survival. Survival estimates can be biased by temporary emigration (Arnold et al. 2002) and by resident/non-resident status (Kokko & Lundberg 2001). Higher survival in juvenile than in adult could also be explained by lower natal phylopatry in adult than in juvenile, e.g. due to nomadic tendancy in adults RCP (see below). Such a higher juvenile survival might be an explanation for the successfull brood parasitism strategy particularly developed in RCP (Amat 1991). Almaraz & Amat (2004) indicated an apparent high juvenile survival rate in Spanish white-headed duck Oxyura leucocephala. -Density-dependent reproduction. Apparent absence of harvest compensation on mortality but evidence of compensation on fecundity is not a common pattern among well studied ducks (Lebreton 2005). However similar regulation processes have been documented in Pochard Aythyta ferina (Blums et al. 2002a), Mallard Anas platyrhynchos (Gunnarsson 2006) and Black Duck Anas rubripes (Zimpfer & Conroy 2006). Such a process has been suggested in whiteheaded duck Oxyura leucocephala (Almaraz & Amat 2004). Such regulation might be particularly adapted in case of strong environmental fluctuations of breeding conditions, when poor breeding conditions and thus poor reproduction in year t can favour breeding performance in year t+1 because of relatively lower density of breeding birds. Among the 25 RCP recovered in the Camargue during the hunting season, 64% had been ringed in the Camargue during the breeding season, which shows that at least some RCP harvested in the Camargue are local breeders. This result supports the hypothesis that harvested and breeding fractions overlap within the Camargue subpopulation, a condition to meet for a functional regulation between density of breeders and breeding success. 38 - Temperature-dependent survival. Blums et al. (2002b) found evidence of a similar positive relationship between survival probability and mean winter temperature for the related Pochard Aythya ferina wintering in Western Europe. However, Blums et al. (2002b) interpreted this finding by the detrimental effect of cold on survival through increasingly unfavourable trade-offs between metabolic needs and foraging performance and physical condition. This explanation may hold in RCP as well, but we favour another hypothesis: an increased harvest level at low temperature, when metabolic needs force ducks to spend more time foraging during daytime in hunting areas. Indeed, generally, among European wintering areas the Camargue is not affected by long period of harsh weather; consequently, we believe that the direct physiological effect of weather conditions on ducks wintering in the Camargue is small. - Brood and duckling survival increased non-linearly with brood size. This relationship is not universal in waterfowl (Johnson et al. 1992, Blums et al. 2002a) - Brood and duckling survival increased with laying date. This pattern is variable among waterfowl (Johnson et al. 1992). However, in general, survival decreases with laying date (e.g. Blums et al. 2002a). Dzus & Clark (1998), Gendron & Clark (2002) and Schmidt et al. (2006) hypothesized that the decrease in duckling survival with laying date was conditional on habitat or weather conditions. Such an indirect influence of habitat on brood and duckling survival may hold in RCP because there are reasons to believe that wetland availability in the Camargue is more favourable later in the breeding season. This results from hunting management practices favouring summer vs. spring flooding for instance. This hypothesis obviously deserves further confirmation upon larger samples. Perspectives A relatively low adult survival probability, a demographic potential for adaptation to breeding conditions through density-dependence and increased duckling survival with brood size and laying date may be tentatively interpreted as life-history traits characteristic of nomadic, sarmatic wildfowl. 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Models of production rates in American black duck populations. J. Wildl. Manage. 70: 947-954 46 Ecologie, démographie et conservation d’une espèce gibier rare : la Nette rousse Netta rufina résumé de thèse Pierre Defos du Rau La Nette rousse Netta rufina est un des canards gibiers migrateurs les plus rares d’Europe. Les noyaux de populations reproductrices et hivernantes y sont très localisés. La population européenne, estimée à 50000 individus en 2006 est essentiellement concentrée en Espagne, avec des effectifs également significatifs en Allemagne, en France et en Suisse. En France, le statut de conservation de l’espèce est considéré comme défavorable. Néanmoins, l’espèce est chassée en France, en Espagne, au Portugal et en Roumanie. La Camargue est, avec le Forez et les Dombes, le principal noyau de reproduction de l’espèce en France. Les effectifs camarguais étaient estimés à une centaine de couples depuis 1990. Toutefois, ni les prélèvements, ni l’importance de la population soumise à ces prélèvements ne sont connus avec suffisamment de précision pour garantir le caractère pérenne de son exploitation. La conjonction des enjeux de conservation et de durabilité de l’exploitation concernant cette espèce constitue un problème complexe qui fait appel à des concepts théoriques de biologie de la conservation et des méthodologies issues de la génétique des populations, de l’écologie et de la dynamique des populations. Les objectifs de ce travail étaient - d’identifier les exigences d’habitat pour la reproduction afin d’en déduire des recommandations techniques à l’usage des gestionnaires de zones humides - d’évaluer la durabilité de l’exploitation cynégétique de l’espèce et les risques éventuels pour la viabilité de la population présente en Europe Les pré-requis pour atteindre ces objectifs étaient donc - de disposer de dénombrements fiables permettant des comparaisons d’effectifs dans l’espace (écologie de la reproduction) et dans le temps (dynamique de population) - d’identifier la population présente en Europe, sa distribution et son abondance afin de pouvoir ensuite en modéliser la dynamique - de développer un modèle démographique satisfaisant permettant de décrire et de prédire la dynamique de la population dont la France et d’autres pays europeens participent à l’exploitation. Dans le cadre de ce travail, les suivis de terrain utilisant des méthodes récentes de capture-recapture d’estimation de la probabilité de détection ont permis d’estimer l’effectif reproducteur camarguais à 590 couples en 2001, ce qui démontre la sous-évaluation des mêmes effectifs précédemment estimés à une centaine de couples. Ces méthodes récentes de mesure de l’erreur de détection par capturerecapture ont ensuite été utilisées pour analyser les exigences d’habitat sur la base de comparaisons de présence et d’abondance tenant compte de ces erreurs de détection dans les deltas de l’Ebre (Catalogne), du Rhône (France) et du Danube (Roumanie). Les résultats différent sensiblement de ceux obtenus sans tenir compte de ces erreurs. C’est également le cas pour plusieurs prédictions macro-écologiques générales. les implications en matière de gestion des habitats ne sont pas négligeables puisque certaines recommandations de gestion ne peuvent être identifiées qu’à la condition d’une prise en compte probabiliste des erreurs de détection. Dans le cadre de ce travail, les analyses génétiques basées sur des échantillons récoltés sur l’ensemble de l’aire de répartition de l’espèce ont démontré le fonctionnement en unité de gestion indépendante de la population ouest-européenne. C’est donc la dynamique de cette unité populationnelle exploitée par la chasse qu’il convient de décrire et de modéliser. L’estimation des paramètres démographiques de l’espèce s’appuie sur plusieurs anciens jeux de données collectées en Camargue. Ces estimations permettent la mise en évidence d’un mécanisme de densité-dépendence et d’une stratégie démographique originale. Elles permettent également le développement d’un modèle matriciel soumis à des analyses de perturbations et à des simulations sous diverses conditions de climat et de prélèvements cynégétiques. S’il s’avère que l’exploitation cynégétique de la population ouesteuropéenne ne semble pas mettre en péril sa viabilité, il apparaît également que l’estimation de plusieurs de ses paramètres démographiques, tels que les taux de survie et de prélèvement doit être affinée afin de réduire les incertitudes liées à sa gestion globale. Le modèle de gestion adaptative des gibiers d’eau développé en Amérique du Nord constitue un cadre semi-expérimental d’inférence scientifique qu’il conviendrait d’appliquer en Europe.