Latitudinally structured variation in the temperature dependence of damselfly growth rates
Transcription
Latitudinally structured variation in the temperature dependence of damselfly growth rates
Ecology Letters, (2013) 16: 64–71 LETTER Viktor Nilsson-Örtman,1* Robby Stoks,2 Marjan De Block,2 Helena Johansson1,3 and Frank Johansson1,4 doi: 10.1111/ele.12013 Latitudinally structured variation in the temperature dependence of damselfly growth rates Abstract The Metabolic Theory of Ecology predicts that the slope of the rate–temperature relationship, E, remains consistent across traits and organisms, acting as a major determinant of large-scale ecological patterns. Although E has recently been shown to vary systematically, we have a poor understanding of its ecological significance. To address this question, we conducted a common-garden experiment involving six damselfly species differing in distribution, estimating E at the level of full-sib families. Each species was sampled throughout its latitudinal range, allowing us to characterise variation in E along a latitudinal gradient spanning 3600 km. We show that E differs among populations and increases with latitude. E was right-skewness across species, but this was largely an artefact of the latitudinal trend. Increased seasonality towards higher latitude may contribute to the latitudinal trend in E. We conclude that E should be seen as a trait involved in local adaptation. Keywords Environmental variation, growth rate, metabolic theory of ecology, thermal dependence, universal temperature dependence. Ecology Letters (2013) 16: 64–71 INTRODUCTION Temperature is one of the main forces acting on all organisms, influencing the rates of most biological processes, from enzyme kinetics to species interactions and population growth rates (Angilletta 2009; Daniel & Danson 2010). Biological rate processes generally increase with temperature, reaching a single thermal optimum, Topt, and decrease rapidly at temperatures above the maximum. The shape of the initial, rising phase was recently used by Gillooly et al. (2001) as the basis for the Metabolic Theory of Ecology (MTE). They proposed that the rate at which a wide range of traits increases with temperature during this phase follows simple Boltzmann–Arrhenius kinetics: R ¼ b0 M b e E=kT ; ð1Þ where R is the rate, b0 is a an organism-dependent scaling factor describing the metabolic efficiency per unit mass, M is body mass, b is a universal allometric constant (assumed to be 3/4), E is the activation energy, k is Boltzmann’s constant and T is the temperature in Kelvin (Brown et al. 2004). This model is assumed to hold over the physiologically relevant temperature range (PTR) below Topt (Savage et al. 2004). The temperature-response term E thus represents a measure of phenotypic plasticity, defined within the PTR. Using metabolic rate data from a wide range of species, Gillooly et al. (2001) argued that the E remains largely stable across species, initially suggesting that it ranges between 0.2 and 1.2 eV, but later refining their estimate, suggesting that E is tightly constrained between 0.6 and 0.7 eV, with an average value of 0.65 eV (Allen & Gillooly 2006; Allen et al. 2006). This final prediction is known as 1 Department of Ecology and Environmental Science, Umeå University, the universal temperature dependence (UTD; Gillooly et al. 2001). The MTE relies critically on the validity of this prediction, as it postulates that ecological interactions across all levels of organisation, from predator–prey interactions to patterns of biodiversity at the global scale, are a consequence of the UTD (Allen & Gillooly 2006; Allen et al. 2006). Several recent studies have challenged the MTE’s reliance on the UTD on both theoretical and empirical grounds (Clarke 2004; Glazier 2005). From the perspective of the MTE, the temperature dependence of biological traits is a static, non-evolving relationship with most of the variation in absolute rates being explained by variation in body size and the normalisation constant, b0 (Gillooly et al. 2001; Allen & Gillooly 2007). The MTE shares this focus on how evolution cannot easily overcome biochemical constraints with the ‘hotter-is-better’ hypothesis (Frazier et al. 2006; Angilletta Jr et al. 2010). An emerging, contrasting view is to consider a trait’s temperature response as a dynamic, evolving relationship, with E as one of several potentially useful ways of describing it. A number of recent reviews of published temperature responses have revealed systematic structure in the variation in E that can be explained by differences in trait motivation [e.g. traits that promote survival vs. traits involved in food acquisition (Dell et al. 2011; Englund et al. 2011)], latitude (Irlich et al. 2009) and the level of organisation at which traits are expressed (Dell et al. 2011), strongly suggesting that the amount of temperature-induced plasticity that a trait display, described by the parameter E, is of ecological importance to individual organisms. A major source of controversy stems from the fact that E can be measured at multiple hierarchical levels. Firstly, E can be estimated 3 Centre of Excellence in Biological Interactions, University of Helsinki, PO Box SE-90187, Umeå, Sweden 65, 00014, Helsinki, Finland 2 4 Laboratory of Aquatic Ecology and Evolutionary Biology, University of Leuven, Ch. Deberiotstraat 32, BE-3000, Leuven, Belgium Department of Ecology and Genetics, Uppsala University, SE-75236, Uppsala, Sweden *Correspondence: E-mail: [email protected] © 2012 Blackwell Publishing Ltd/CNRS Letter among species: a trait is then measured at each species’ optimal temperature and data from many species are plotted together to reveal a shared pattern (i.e. an interspecific approach). Secondly, E can be estimated within species: a trait is then measured in many individuals at different temperatures and used to estimate a species-level response (i.e. an intraspecific approach). Interspecific studies have typically found relatively little variation in E and tended to support a UTD close to 0.65 eV (Brown et al. 2004; Allen & Gillooly 2007; but see Terblanche et al. 2007), whereas intraspecific studies have repeatedly detected significantly more variation in E than predicted by the MTE (Irlich et al. 2009; Dell et al. 2011; Englund et al. 2011). To some extent, this variation may reflect limited precision when estimating E, for example due to the choice of temperature range (Knies & Kingsolver 2010), how biological rates are measured (Bennett 1990) and differences in whether organisms can acclimate to experimental conditions (Fedorenko 1975; Huey & Berrigan 1996). Regardless, these studies suggest a need to study variation in E over multiple hierarchical levels, both above and below the species level (Chown 2001; Enquist et al. 2003; Terblanche et al. 2007). To provide a direct test of these contrasting views of E and to test the hypothesis that E is involved in local adaptation, we investigated within-species variation in E in a clade of European damselflies. Although earlier studies have considered repeated estimates of E from the same species as pseudoreplicates (Frazier et al. 2006; Dell et al. 2011), we explicitly focused on variation in E at the level of genotypic groups. We will hereafter refer to variation in E among latitudinal populations of the same species as interpopulation variation in E. The main novelty of this study lies in the focus on variation at the level of genotypes, the standardised sampling scheme and large geographical scope: each species is sampled from populations in the north, centre and south of each species’ latitudinal range. If E is strongly related to individuals’ fitness and evolves in response to environmental variation, we expect to find evidence of local adaptation with respect to E at this level. METHODS We here study six species of damselflies (Odonata: Coenagrionidae) in the genus Coenagrion. The distribution patterns of the six species clearly differ, occurring in northern, central and southern Europe (Fig. 1). Together, the ranges of these species cover more than 30° of latitude and single species cover up to 16°. Larvae are aquatic predators on smaller invertebrates. The northern species require 2 years to finish larval development, whereas central species are univoltine (Norling 1984; Corbet 1999). The life cycles of southern species are poorly known, but they are presumably univoltine in most areas. Common-garden experiment Each studied species was sampled at sites close to its northern and southern range margins, and at the centre of its range (hereafter termed latitudes and denoted N, S and C; Fig. 1). Three populations were sampled at each latitude to minimise the influence of maternal and environmental effects. The total number of populations per species was typically 9. From each population, we reared the offspring from between 2 and 12 field-collected mated females (hereafter called ‘families’) at three or four of the following temperatures: 16.3, 19.5, 21.5 or 24.0 °C. Although we cannot fully Thermal dependence of damselfly growth rates 65 exclude the possibility that some of the offspring of the same female represent paternal half-sibs, we will refer to these as fullsib families as damselfly males typically remove all of the sperm from previous matings (Miller & Miller 1981; Waage 1986). The temperatures used were chosen to reflect typical field water temperatures in most areas (Nilsson-Örtman et al. 2012). The fieldwork and rearing was divided across two laboratories and 3 years: C. armatum Charpentier (all populations) and C. puella Linnaeus (C, N) were collected and reared during 2008 at 16.3, 19.5 and 21.5 °C; C. johanssoni Wallengren (all) was collected and reared during 2008 at 19.5, 21.5 and 24.0 °C; C. mercuriale Charpentier (all), C. puella (S), C. pulchellum Vander Linden (C, N) and C. scitulum Rambur (C, S) were collected and reared during 2009 at 16.3, 19.5, 21.5 and 24.0 °C; C. puella (additional N), C. pulchellum (S, additional N) and C. scitulum (N) were collected and reared during 2010 at 16.3, 19.5, 21.5 and 24.0 °C. We will refer to the temperature range 16.3–21.5 °C as the ‘lower’ temperature range, 19.5–24.0 °C as the ‘upper’ temperature range and 16.3–24.0 °C as the ‘full’ temperature range. Biases introduced by estimating E based on different temperature ranges are treated in detail below. Only two central C. johanssoni populations were sampled due to rainy and windy conditions during fieldwork. A list of sampled populations and the number of families per population is presented in the Supporting information, Table S1. The rearing conditions and growth rate calculations have been described in detail elsewhere (Nilsson-Örtman et al. 2012) and only the most important details are summarised here. Mated females or their eggs were brought to the laboratory in Umeå, Sweden (C. armatum, C. pulchellum, C. puella and C. scitulum) or Leuven, Belgium (C. johanssoni and C. mercuriale). Immediately following hatching, 20 full-sib offspring from each female were transferred to individual 100-mL rearing containers, and five individuals were placed at random in each of the three or four climate chambers. The photoperiod was kept at a fixed 14:10 h light:dark (L:D) ratio. On initiation, the experiment consisted of 5060 individuals from 304 families. Larvae were fed 6 days a week on laboratory-reared brine shrimp. Each individual was photographed at 0, 42, 84 and 126 days after hatching (hereafter called ‘measurement events’). At the same time, water was changed and the rearing containers were cleaned. The maximum distance between the distal parts of the eyes of each individual was measured from these photographs as an approximation of overall size, as this trait display less allometric variation during ontogeny than other measures of size (Corbet 1999). Relative growth rates (RGRs) were calculated by modelling individual growth trajectories as third-degree polynomial functions of head width, hw, and time, t, of the form hw(t) = at + bt2 + ct3, with a, b and c being polynomial coefficients estimated from the data. Size-corrected RGRs were then calculated as the slope of the curve at the point in time, when 1/5 of the adult size of each species (based on field-collected adults from central populations) had been reached. This method accounts for differences in both initial and final size (Rose et al. 2009). Modelling temperature responses To estimate the activation energy E of growth rates for each fullsib family, we fitted the least-squares regression of ln(RGR) and 1/kT (the inverse rearing temperature in Kelvin) to the data from each family group. The slope of this regression provides an estimate © 2012 Blackwell Publishing Ltd/CNRS 66 V. Nilsson-Örtman et al. Letter (a) (b) (c) (d) (e) (f) Figure 1 European distributions of the study species and interpopulation variation in the activation energy term E (eV). Shown are the locations of the sampled populations (red squares) and family level temperature responses, E. Asterisks mark populations that differ significantly compared with other populations of the same species. Note that the activation energy of growth rates increases with latitude for all species (the trend is significant in Coenagrion johanssoni, C. puella, C. mercuriale and C. scitulum). Open circles are outliers. Maps reproduced from Askew (2004) with permission from Apollo Books. of the coefficient E in the Arrhenius equation (eqn 1). The inverse of the temperature term was used to produce positive estimates of E. To ensure that subsequent analyses only included families where we could obtain a meaningful estimate of E, we used the following criteria for which families to include: (1) a family must have at least two RGR estimates from each of at least three temperatures and (2) the small-sample AIC of the model containing the linear Arrhenius coefficient must be lower than that of an intercept-only model. Families that did not fulfil these criteria were excluded. The Arrhenius model and the UTD prediction are based on the assumption that the slope of the rate–temperature relationship remains linear over the entire PTR. In reality, temperature responses are often curved, with the slope typically decreasing towards Topt (Knies & Kingsolver 2010). This is important here for two reasons: the first is that if some species have lower Topt, estimates of E will © 2012 Blackwell Publishing Ltd/CNRS be biased downwards for these. The second is that this can introduce a bias as not all our estimates of E were based on measurements from the exact same temperatures (due both to mortality and logistics). Estimates of E based on the upper range of temperatures will likely be biased downwards relative to those estimated based on the lower range of temperatures. These issues were dealt with in two ways, described next. First, we assessed whether each temperature response was linear within the experimental temperature range by comparing the AIC scores of the linear Arrhenius model against a model including the second order polynomial of the relationship between ln(RGR) and 1/kT. Note that our power to detect significant curvature is limited with only three or four temperatures. The direction of curvature was calculated from the second order derivative of the polynomial model (Knies & Kingsolver 2010). This analysis indicated that the slope decreased towards higher temperatures in Letter many families. Six families displayed lower growth rates at 24.0 than 21.5 °C, indicating that their thermal optima were located within the experimental temperature range. For these families, we re-estimated E on the lower range of temperature (Supporting Information, Fig S1). Secondly, for those species where E was estimated based on different temperature ranges, we quantified the strength and direction of this bias and corrected for it directly. We fitted species-specific ANCOVAs with E as the response variable, latitude as a continuous fixed effect and temperature range (lower, upper, all) as a fixed, categorical effect. The fitted coefficients describing the effects of temperature range on E were then used to adjust the family level estimates of E. This analysis confirmed that the inclusion of the highest temperature caused a downward bias in E, but this was corrected for through this approach. No correction was applied to data from C. armatum, C. johanssoni and C. scitulum as the same temperature range was used to estimate E for all families of these species. Thus, the distribution of E within these species was not affected by this bias, but the mean value may have been affected. As C. johanssoni was reared at the upper range of temperatures, estimates of E are likely conservative. Conversely, C. armatum was reared at the lower range of temperatures, which may have resulted in an overestimation of E. Including species as a random effect when testing for trends in E (see below) did not alter the outcome of subsequent analyses. The final data set (families with at least two RGR estimates at three or more temperatures) consisted of 2924 individuals from 207 families. On average, there were approximately 3.9 individuals per combination of family and temperature. Climatic predictors of E To test the local adaptation hypothesis, we related the observed variation in E to measures of environmental conditions in each sampling area. We extracted environmental data from the WorldClim database (http://www.worldclim.org) for the 2.5 arc minute grid (c. 5 9 5 km) that contained the sampled sites. The environmental variables used were mean annual temperature (MAT), mean annual precipitation (MAP), annual seasonality of temperature (AST), annual seasonality of precipitation (ASP), mean temperature of the warmest quarter (TWQ), mean precipitation of the warmest quarter (PWQ) and mean diurnal range (MDR). Statistical analyses The average value of E for each species and species 9 latitude was tested against the UTD prediction using two-sided one-sample t-tests. Differences in E among latitudinal populations of the same species were tested using two-sided two-sample t-tests. To test for skewness in the distribution of E values, we used Lilliefors normality test, as implemented in the R package nortest (Gross 2006). The relationship between E and the explanatory variables were modelled using a linear mixed model approach (LME). We first tested whether E displayed a significant latitudinal trend across species, while also testing for the effects of possible confounding factors. This model included latitude, latitude2 (to test for a nonlinear latitude trend), altitude and sample size (number of individuals of each family when fitting eqn 1) as continuous fixed factors. Rearing year was included as a random effect to account for possi- Thermal dependence of damselfly growth rates 67 ble differences in environmental and experimental conditions. After fitting the full models, fixed model terms were removed sequentially on the basis of AIC scores. The presented AIC scores were calculated from the final, minimal models. Following model simplification, we also tested for a significant interaction between latitude and species. To test for latitudinal trends within each species, we used one-way ANOVAs. Next, as latitude is merely a composite variable of underlying environmental variables, we ran a second set of models to test for the independent effects of the environmental variables. As sample size and altitude were non-significant in the latitude model, they were not included in these models. Rearing year was included as a random effect. This model initially included temperature and precipitation averaged over the whole year (MAT and MAP), the seasonality of these variables (AST and ASP), average temperature and precipitation during the warmest quarter (TWQ and PWQ) and mean diurnal range (MDR). All predictor variables were centred and normalised to 1 SD prior to the analyses (Schielzeth 2010). Model selection was carried out as for the latitude model. All statistical analyses were performed in R 2.14.0 (R core team. 2008). The LME models were implemented using the function lmer in the R package lme4 (Bates et al. 2011). Confidence intervals and significance levels of fixed effects were calculated with a Markov chain Monte Carlo (MCMC) sampling approach, using the function pvals.fnc in the package LanguageR (Baayen 2008). The number of MCMC iterations was set to 10 000. Significance levels of terms that were not included in the reduced models were calculated by reintroducing these terms singly into the reduced models. The final models and their parameter estimates were very similar when excluding the random effect, including species as a random effect or using a forward stepwise model selection approach. Significance of the Species 9 Latitude interaction term was calculated using the ANOVA function in the package car, but note that there is no general agreement about how to calculate degrees of freedoms in mixedeffects models (Pinheiro & Bates 2000). All analyses were performed with E as the response variable and this value was calculated at the family level, constituting this experiment’s lowest replication level. RESULTS Our data on interpopulation variation in E offers several novel insights, which we summarise here and justify below. Firstly, E was on average significantly higher than the UTD prediction of 0.65 eV (t-test: d.f. = 193, t = 8.68, P < 0.001). Secondly, E displayed considerable interpopulation variation (Fig. 1). Specifically, E increased with latitude both within and across species (Fig. 2; coefficient: 0.022, t = 9.94, P < 0.001). On the basis of these observations, we reject the hypothesis that E is evolutionarily stable. Family level activation energies of growth rates Of the 207 family level responses that had at least two measurements of growth rates at a minimum of three temperatures, the linear Arrhenius model provided a meaningful description in 194 cases (94%), as judged by AIC scores (Supporting Information, Table S3). Those 13 families that were excluded generally had small sample sizes [per-family sample size of excluded families was 10.4 ± 2.0 (95% CI) compared with 14.4 ± 0.7 for included families]. The © 2012 Blackwell Publishing Ltd/CNRS Table 1 Average values and skewness of activation energies (E) of growth rates. Measurements are averaged over 8–10 populations from across the latitudinal range of each species. The sample size is given in parentheses. (a) Mean activation energy ± 95% CI. (b) g1 skewness of E based on the original data. (c) g1 skewness of E after correcting for the latitudinal bias by subtracting each population’s mean value of E from the corresponding family level responses. P-values are calculated from Lilliefors non-normality tests. Note that the data have been corrected for the effect of using different temperature ranges to estimate E Arm Joh Pue Pul Mer Sci 1.0 1.5 Letter 0.5 Activation energy (eV) 2.0 68 V. Nilsson-Örtman et al. 40 45 50 55 60 65 Latitude (°N) Figure 2 Latitudinal trend in the activation energy, E (eV), of growth rates. Activation energy plotted against latitude for 194 family level temperature responses. Solid line show the best-fitting linear regression (coefficient: 0.022, t = 9.94, P < 0.001). Values on the y-axis have been jittered for clarity. Arrhenius model predicts temperature responses below Topt to be linear when plotted at the scale of 1/kT. Of the 194 responses fulfilling the above criteria, 26 displayed significant downward curvature (concave downward) and 16 displayed significant upward curvature (concave upward; Supporting information, Fig S1). Six of the former also displayed reduced growth rates at the highest temperature (Supporting information, Fig S1) and the lower range of temperature was instead used to estimate E for these. As five of these families belonged to the southern species C. mercuriale, it seems likely that the thermal optimum of this species is lower than for the other species. Because of this, estimates of E may be biased downwards for this species. Except for these families, however, the nonlinear coefficients were small and only the results from the linear Arrhenius model (adjusted for the effect of the temperature range used to estimate E) are analysed in detail below. The mean value of E for growth rates across all species was 0.84 ± 0.04 eV (we report mean activation energy values ± 95% CI throughout this article), significantly higher than the UTD prediction of 0.65 eV. In four of the six species, activation energy (averaged over their latitudinal range) was significantly higher than 0.65 eV, with the two southern species, C. mercuriale and C. scitulum being the exceptions (Table 1). Investigation of interpopulation variation in E revealed striking patterns. The most noticeable is that E increases with latitude (Fig. 2). The LME model revealed this trend to be significant and linear (Table 2a) and that E increase with 0.022 eV for every degree of latitude (95% CI: 0.017–0.027). There was also a significant Species 9 Latitude interaction (d.f. = 5, v2 = 34.15, P < 0.001), driven by a steeper latitudinal trend in C. johanssoni. When looking at each species separately, all species displayed a positive correlation between E and latitude (Fig. 1). Species-specific ANOVAs revealed this relationship to be significant (P < 0.05) for four species (C. johanssoni, C. puella, C. scitulum and C. mercuriale), but not significant for C. armatum (t = 1.595, P = 0.12) and C. pulchellum (t = 1.077, P = 0.287). © 2012 Blackwell Publishing Ltd/CNRS Species (a) Mean E (eV) All species (194) Coenagrion armatum (29) C. johanssoni (20) C. puella (35) C. pulchellum (50) C. mercuriale (25) C. scitulum (35) 0.84 1.04 1.30 0.73 0.88 0.65 0.62 ± ± ± ± ± ± ± 0.04 0.10 0.19 0.08 0.04 0.08 0.05 (b) Raw data (c) Biascorrected Skew P Skew P 1.10 0.36 0.15 0.63 0.17 0.29 0.08 <0.001 0.382 0.632 0.466 0.722 0.591 0.830 0.48 0.36 0.56 0.42 0.26 0.65 0.40 0.145 0.720 0.192 0.753 0.434 0.514 0.048 Table 2 Results from linear mixed model approach models on the effect of latitude and environmental variables on the slope of temperature responses, E. AIC values were calculated after removing non-significant terms from the models Predictor (a) Latitude Latitude2 Altitude N larvae (b) AST TWQ MAT ASP PWQ MAP MDR Estimate SE t P AIC 0.2008 0.0000 0.0155 0.0297 0.0203 0.0003 0.0214 0.0222 9.8700 0.0280 0.7260 1.3400 0.0001 0.9936 0.4622 0.2762 4.74 0.7498 0.8912 1.3229 0.0018 0.0123 0.0449 0.0258 0.1881 0.2339 0.3796 0.0344 0.0216 0.0211 0.0274 3.9870 3.8100 3.4850 0.0510 0.5680 2.1260 0.9430 0.0001 0.0001 0.0004 0.9490 0.5870 0.0328 0.3686 7.26 AIC, Akaike Information Criterion value; AST, annual seasonality of temperature; TWQ, average temperature of the warmest quarter; MAT, mean annual temperature; ASP, annual seasonality of precipitation; PWQ, average precipitation of the warmest quarter; MAP, mean annual precipitation; MDR, mean diurnal range. All predictor variables were centred and normalised to 1 SD. One aspect of the variation in E that has been previously reported (Dell et al. 2011) is a strong right-skewness in species-level data. We observed the same pattern in our family level responses when pooling data from all species (Fig. 3a). Analysed this way, the distribution of E was significantly right-skewed (Lilliefors normality test, D = 0.09, P < 0.001; g1 skewness = 1.10) and the overall median value of E was 0.81, 0.03 eV lower than the overall mean of 0.84 eV (Fig. 3A). When breaking down variation in E by species, no species displayed significant skewness (Table 1b) and individual values ranged between 0.17 and 0.63. As the majority of the responses analysed originated from the southern half of the latitudinal range (the median latitudinal position was 50.5° N, whereas the mean was 52.5° N), the observed latitudinal trend in E may have contributed to the overall right-skewness of E. To test this hypothesis, we corrected for the latitudinal bias, normalising each family’s value of E by subtracting the mean value at the latitude from where Letter Thermal dependence of damselfly growth rates 69 Environmental predictors of E (a) In the environmental model, only the three variables relating to temperature, AST, TWQ and MAT, were retained in the final model (Table 2b). These variables were strongly correlated (AST vs. MAT: Pearson’s q = 0.89, P < 0.001; AST vs. TWQ: Pearson’s q = 0.65, P < 0.001) so we also tested them singly. AST then retained the positive correlation with E (coefficient = 0.14, t = 6.19, P < 0.001; AIC = 19.54) and TWQ retained the negative correlation (coefficient = 0.13, t = 5.55, P < 0.001; AIC = 24.63). MAT, however, then displayed a negative correlation (coefficient = 0.16, t = 6.93, P < 0.001; AIC = 13.10). Neither of the single-parameter models nor the full model with AST, TWQ and MAT had lower AIC or BIC scores than the model containing only latitude (Table 2). DISCUSSION (b) Figure 3 Histogram showing the frequency distribution of family level temperature responses before (a) and after (b) correcting for the latitudinal sampling bias. The grey columns contains all responses and the semi-transparent, coloured columns show the same data classified by latitudinal origin: red represent families originating from below the mean latitude of 52.5° N, blue represent families originating to the north of 52.5° N. Solid and dashed vertical lines denote the mean and median value respectively. E was calculated by fitting eqn 1 to data from full-sib families. Note that the data have been corrected for the effect of using different temperature ranges to estimate E. it originated. This resulted in a reduction of the skewness of E. Although a tendency of right-skewness remained, this was no longer significant (Lilliefors test, D = 0.07, P = 0.145; g1 skewness = 0.48; Fig. 3b). C. scitulum displayed significant right-skewness after correcting for the latitudinal bias (Table 1c). The largest significant differences in E between adjacent latitudinal populations were found for C. puella, where E ranged from 0.57 ± 0.08 to 0.77 ± 0.13 eV from southern to central populations (separated by c. 1000 km) and C. scitulum, where E ranged from 0.56 ± 0.05 eV to 0.75 ± 0.08 from central to northern populations, over a similar distance (Fig. 1). Note that the ANCOVAs used to correct for the effect of estimating E based on different temperature ranges did not cause the observed differences among latitudinal populations or skewness of E as it only affects the distribution of E values within each latitudinal population. Our study shows that E, the temperature-response term, can differ strongly among populations from different parts of species’ ranges, suggestive of local adaptation. Our results challenge the UTD prediction that underlies the MTE and lend support to the interpretation of E as a trait with ecological importance for individual organisms. We find that E is on average significantly higher across all species (0.84 ± 0.04 eV) than the value of 0.65 eV predicted by the UTD, and that populations of a single species separated by fewer than 9° of latitude may differ by as much as 0.20 eV in average activation energy. The most striking aspect of our results is that E increases with latitude, both across and within species. We show that this latitudinal trend in E may bias inferences regarding E, contributing both to the right-skewness that has been observed, here and in other studies, for many traits (Dell et al. 2011), and to the average value of E, forming the basis of the UTD prediction of 0.65 eV (Allen et al. 2006). The overall distribution of E in our data is significantly rightskewed (Fig. 3a), but this skewness largely arises as an artefact of the latitudinal trend, as the majority of our responses originate from the southern part of the latitudinal gradient. By correcting for this bias, the distribution of values becomes approximately normal (Fig. 3b). A striking observation, however, is that across- and within-species values of skewness tends to converge towards the average value of 0.48 after correcting for the latitudinal bias, with the exception of C. pulchellum (Table 1). Although our results are inconclusive, this could indicate that there exist some mechanisms generating and maintaining a slight right-skewness also at the genotype level. As low E requires biological rates to be uniformly high over a broader range of temperatures, generalist–specialist trade-offs relating to thermal breadth (Angilletta et al. 2003) are one such factor that could constrain the evolution of very low values of E. Those species and populations in our study that fell closest to the value of 0.65 eV were sampled in the southern part of the latitudinal gradient, between 35° N and 50° N latitude. This matches the latitudinal band (30° N–45° N) from where the majority of species-level thermal responses reviewed by Irlich et al. (2009) originated. That review, concerning activation energies of metabolic and development rates in 129 insect species, also detected a weak but significant latitudinal trend, but did not find average levels of E to be significantly different from 0.65 eV. The inclusion of more high- and mid-latitude © 2012 Blackwell Publishing Ltd/CNRS 70 V. Nilsson-Örtman et al. populations in our study most likely contributed to our finding that E is significantly higher than predicted by the UTD. Our interpretation of this is that the suggested UTD of 0.65 eV may reflect not only an average over different traits and hierarchical levels but also a geographical bias in the choice of species and populations studied. Although Glazier (2005) discussed this problem, geographical biases have received little attention in the literature with respect to temperature responses. This implies that if activation energies in organisms distributed at random across the earth (or reflecting biodiversity patterns) were measured, the predictions from the UTD would likely be dramatically different. Considering the uneven distribution of biodiversity (Gaston 2000), the consequences of these geographical biases are unlikely to be trivial, and we caution against using average values of E for predicting global diversity patterns (Allen et al. 2002) or responses to climate change (Dillon et al. 2010) without carefully considering this potential bias. Enquist et al. (2003) showed that the vertical elevation of temperature responses (parameter b0 in eqn 1) change across latitudes, possibly reflecting selection on increased growth potential (through changes in metabolic efficiency or intensity) in areas with a short growth season (Enquist et al. 2007). Our results strongly suggest that also the slope of the rate–temperature relationship, E, can evolve across broad environmental gradients. But is the observed variation in E adaptive? The LME model with environmental variables suggested that variation in E likely reflects some aspect of the thermal environment (Table 2). However, that E is higher in northern, thermally variable environments conflicts with the expectation from the physiological literature, that organisms inhabiting thermally variable environments should evolve enzymes with wider thermal tolerances, equivalent to lower E (Somero & Low 1977). Empirical support for this idea mainly comes from studies comparing tropical and temperate taxa (e.g. Cunningham & Read 2002). That we find the exact opposite latitudinal pattern here may be related to the fact that even our southernmost populations are located at higher latitudes than the ‘high-latitude’ populations used in many other studies. To further explore this paradoxical result, we performed a hypothetical ‘transplantation experiment’. Using simulated water temperature data from high, low and mid-latitudes (Supporting information, Figure S1), we calculated what the consequences would be, in terms of realised annual growth rate, if we would introduce an organism with a southern or central physiology into a high-latitude environment, and vice versa. This clearly showed that it would rather be beneficial to have low E in cold and variable high-latitude environments (Supporting information, Table S2). Instead, the latitudinal trend within the temperate zone could possibly reflect a phenological effect, that is, that it may be increasingly important for damselfly larvae to exploit short periods of beneficial conditions in more seasonal environments (Forrest & Miller-Rushing 2010). At present, however, the selective forces responsible for this latitudinal trend remain elusive. The differences we observe in the northern and southern species pairs are intriguing, where the studied species differ in the slope of the latitudinal trends in E, despite having similar latitudinal distributions (Fig. 1). Differences in habitat preference could be important in the case of the southern species C. mercuriale. In contrast to the other species’ preference for shallow ponds, this habitat specialist exploits small, slow-flowing streams that may provide a more constant temperature regime across latitudes. We are less confident, however, that differences in the thermal characteristics of the © 2012 Blackwell Publishing Ltd/CNRS Letter preferred habitat can explain differences between the two northern species. Of these, C. johanssoni is restricted to more acidic, speciespoor, low-predation sites than C. armatum, raising the possibility that differences in ecological factors such as resource availability, life history variation, phenology or seasonal variation in mortality, predation and cannibalism (Norling 1984; Johansson 1993; Suhling & Lepkojus 2001; Enquist et al. 2003; Stoks et al. 2005) could be involved in producing the steep relationship between E and latitude shown by the former species. Although we cannot draw strong conclusions regarding the causative mechanisms behinds the observed variation, comparative data sets such as ours can guide future theoretical and empirical explorations of how variation in temperature responses depend upon the interaction between ecological and environmental factors. Our study is the first to characterise geographical variation in the activation energy of a physiological trait below the species level and for full-sibs. This approach revealed previously unrecognised patterns of variation – in particular a latitudinal trend in E across and within species. These results challenge the idea that evolution cannot easily overcome thermodynamic constraints. We also highlight a latitudinal bias in the literature that previous studies have not addressed, which could contribute to the UTD prediction of 0.65 eV, as well as the right-skewness observed in species-level data. Our findings suggest that temperature responses must be studied over many different hierarchical and spatial scales if we are to gain a deeper understanding of how organisms are affected by, and evolve in response to, changes in temperature. AUTHOR CONTRIBUTIONS VNÖ, RS, MDB, HJ and FJ conceived the study and performed the laboratory experiment; VNÖ developed the computer models, analysed data and wrote the manuscript; VNÖ, RS, MDB, HJ and FJ contributed to writing. 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Technical support issues arising from supporting information (other than missing files) should be addressed to the authors. Editor, Brian Enquist Manuscript received 5 June 2012 First decision made 14 July 2012 Manuscript accepted 5 September 2012 © 2012 Blackwell Publishing Ltd/CNRS