durango, mexico
Transcription
durango, mexico
MODELLING THE WATER BALANCE COMPONENTS FOR THE MANAGEMENT OF THE WATERSHED ‘LA ROSILLA’ DURANGO, MEXICO Modelación De Los Componentes Del Balance Hidrológico De La Cuenca ‘La Rosilla’ Durango, México José Návar1 Professor of Natural Resource Management, CIIDIR-IPN, Unidad Durango. Calle Sigma s/n. Fracc. 20 de Noviembre II. 34220. Durango, Dgo., México Tel & Fax + 618 8142091. e-mail: [email protected] 1 ABSTRACT The man-made reservoir ‘La Rosilla II’ services water the city of El Salto, Durango, Mexico for public and industrial supply. There is uncertainty on the risk of floods during wet spells and the lack of storage during dry episodes to meet conventional fresh blue water demands of an increasing population and industry. In spite of this, there are no studies dealing with the understanding of the components of the hydrological cycle within the watershed that drains into the reservoir and this research attempts to establish the basis for modeling the hydrologic components with the aim to sustainable manage blue water resources in the watershed. Although shortcomings of this study such as running the model with a better temporal resolution and calibrated with reservoir data, preliminary observations show that the watershed produces sufficient annual discharge to saturate the storage capacity of the reservoir on 68% of the time and as consequence it is recommended to augment the storage capacity of the reservoir or to build up a second reservoir. It is also recommended to develop a management plan for the reservoir itself that accounts for the temporal variations of the hydrological cycle and water demands of the population of El Salto, Durango, Mexico. Key words: Drought and wet spells, Mass balance hydrological model, Annual discharge. RESUMEN La presa ‘La Rosilla II’ abastece de agua a la población de El Salto, Durango, México para uso doméstico e industrial. Existe incertidumbre sobre el peligro de inundaciones y falta de agua azul en épocas de sequías para satisfacer las demandas de una creciente población e industria. A pesar de este panorama, no existen estudios encaminados a entender los compo- nentes del ciclo hidrológico en la microcuenca que abastece el embalse y este trabajo de investigación intenta establecer las bases para el modelamiento del sistema con la finalidad de manejar sustentablemente el agua en la zona. Aunque el modelo del balance de masas necesita una mejor resolución temporal y de calibración con los datos del embalse, observaciones preliminares indican que la microcuenca produce suficiente agua azul anual para saturar el almacenamiento del embalse en el 68% del tiempo y como consecuencia se recomienda aumentar la capacidad de almacenamiento de este embalse o crear otras fuentes de almacenamiento. Así mismo se recomienda desarrollar un plan de manejo del mismo embalse que considere las variaciones temporales en los componentes del ciclo hidrológico y de las demandas de agua en la ciudad de El Salto. Palabras clave: Sequías y periodos húmedos, modelo hidrológico de balance de masas, descarga anual. INTRODUCTION Conventional management of water resources cannot meet future water demands for development in northern Mexico. Erratic and variable water supplies featured by hydro-climate variations and unsustainable practices of hydrologic resources are depleting freshwater resources for human use. The over exploitation of aquifers, reduced recharge, a high ratio of volume of irrigation to productivity, and a high per capita water use are some unsustainable practices (Návar, 2001; 2004; Ward, 1998; Schmandt et al., 2000). Other unsustainable practices are high losses of water in the distribution systems of most cities (30-40%) (CNA, 2000), contamination of streams, reservoirs, and aquifers impairing further water use (Vogel et al., 1995; Flores-Laureano y Návar, 2002; Lizárraga et al., 2005; 2006), river fragmentation by the construction of reservoirs and the abstraction of freshwater from rivers and aquifers to meet deAGROFAZ 91 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 mands of an expansive irrigated agricultural area (SEMARNAT, 2004). Biological indicators of degradation of water resources are losses of species diversity that dwell in streams (Contreras and Lozano, 1994; Edwards and Contreras, 1997) and changes in species structure of riparian trees, benthic insects and fishes (Guerra-Pérez and Návar, 2008). River modification, contamination, drawdown of reservoirs, and river fragmentation partially explain losses of wetland species in northern Mexico. In addition to this state of affairs, potential global warming may be also contributing to increasing the temporal and spatial variations of water resources on most arid and semi arid lands of northern Mexico. The region is projected to receive 10% less rainfall and to produce between 5 to 10% less streamflow by the end of this century if climate change models are correct (Mulholland et al., 1997; IPCC, 2001; 2007). Návar (2001) observed that in the presence of worst drought episodes on record there is 12% less rainfall and 27% less streamflow in the San Juan River of northeastern Mexico. Therefore, climate change may already be or may in the near future be magnifying drought spells and reduce river flow and water supply in the region. Regardless of this state of understanding and the importance that river discharge represents to meet conventional and holistic water supplies, there has been little effort to understand the quantitative importance of the components of the hydrological cycle in watersheds of northern Mexico and how these mechanisms vary in time and space within watersheds. This information is useful when coupled with climate change models and future scenarios on water demands. The main components of the hydrological cycle are precipitation, evapotranspiration (interception loss, evaporation, and transpiration), discharge (surface and sub surface runoff and leakage or deep percolation into aquifers), and changes 92 AGROFAZ in soil moisture content. Spatial and temporal variations of these components are the rule in semi-arid watersheds (Ward, 1998). For example, drought spells for northern Mexico for the last century are well documented during the periods of 18901910; 1920-1930; 1950-1964; 1990’s that are featured by precipitation and discharge consistently below the average (Návar, 2001; 2004; 2008; Návar et al., 2010). Wet periods have also been recorded for this region during the 1940’s; the 1960’s; and during the 1970’s-1980’s (Návar, 2001; 2004; 2008; Návar et al., 2010). Shifts in precipitation variables tend to promote major changes in the other hydrologic variables. However, how variation expands form precipitation to; e.g., discharge or soil moisture content has been little understood in Mexican basins. In light of this review, this research addresses the following issues: a) the physical modeling of the components of the water cycle, b) the sensitivity analysis of input parameters of a hydrologic model, and c) the plan proposal for the management of water resources for the watershed ‘La Rosilla’ of Durango, Mexico. MATERIALS AND METHODS Location of the study area. This study was conducted at the watershed ‘La Rosilla’ which drains into the ‘La Rosilla II’ reservoir, located at the Ejido La Victoria, Municipality of Pueblo Nuevo, Durango, México. The city of El Salto supply most of its domestic water from this reservoir and part of the city is placed within the Ejido ‘La Victoria’, as well. The watershed covers an area of 944 ha and it is geographically found at the coordinates 23° 44´ 00” north latitude and 105° 27´ 00” west longitude, at the southwestern portion of the Sierra Madre Occidental mountain of Durango, Mexico (Figure 1). ESTUDIOYMANEJODELOSRECURSOSNATURALES Figure 1. Location of the watershed ‘La Rosilla’ Durango, Mexico. The watershed sits within the Hydrologic Region No 11 (Presidio-San Pedro), in the uplands of the Rio Presidio basin. The main stem of the river is named Arroyo Quebrada El Salto, a tributary of the Rio Presidio (CFE, 1998). According to the Köppen climatic classification scheme and modified for Mexico by García (1987), the ejido features several types of microclimates: a) the highlands feature the temperatecold, humid climate, with summer rains and mean annual temperature between 5 to 12 °C, classified as C(E)(W2); b) the rest of the ejido presents a temperate, humid climate with summer rains, and mean annual temperature ranging from 12 to 18°C. Summer rains are characterized by thunderstorms concentrated between July and September. Mean annual rainfall depth and temperature at the climatic station of El Salto is 1,000 mm and 9.3°C. Most of the watershed is covered by temperate forests with mixtures of pines and oaks. Main pine distributed species are Pinus cooperi, P. durangensis, P. engelmannii, P. teocote, P. herrerae, P. leiophylla and P. ayacahuite. The most frequent oak species observed are Quercus sideroxyla, Q. durifolia, Q. rugosa and Q. candicans. Juniperus spp., Cupressus spp. Pseu- dotsuga spp and Abies spp are other conifer species that make up isolated communities within the watershed. Other broad leaf species are Arbutus spp and Alnus spp. The lower strata is conspicuous and dominated by manzanita (Arctostaphylos pungens) and encinilla (Quercus striatula). P' G = − RSc Ec ln 1 − Ec R [2] The hydrological model. The components of the water cycle in forested watersheds were estimated using a model based on the mass balance budget (Návar, 2007). The model is physically based and computes changes in the soil water storage as a function of the difference between inputs and outputs. Input is rainfall and outputs are interception, evpotranspiration (transpiration and evaporation of water from the soil) and discharge (surface runoff leakage to aquifers); see Equation [1]. This model assumes that the amount of soil water above field capacity leaks down into shallow perched water tables that eventually transforms into discharge via subsurface and aquifer discharge. The intrinsic hypothesis is that there is little or not surface runoff, AGROFAZ 93 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 and it appears to be correct for most forested soils for most of the time, since high average final infiltration rates of the order of close to 130 mm h-1 were measured, and that only 7% of the rains which occur annually and close to 30% in rains that have a frequency of a two-year return period produces surface runoff (Dueñez and Návar, 2005). n+m m n n j=1 j=1 j=1 j=1 ∑ I j = c∑ PGj + (cEc / R )∑ (PGj − P' G) + c∑ P' G + qst + pt Rainfall, P, is conventionally recorded in gauges at the climatic station El Salto, Dgo., Mexico. Leakage or percolation, Qs, equals to discharge, Q, since surface runoff, Qs = 0. Interception is the amount of rainfall that wets canopies and litter (leaves, bark, and litter) and returns to the atmosphere via evaporation without contributing to soil moisture. m n n j=1 j=1 j=1 j=1 ∑ I j = c∑ PGj + (cEc / R )∑ (PGj − P' G) + c∑ P' G + qst + pt Where: Ēc = the evaporation rate during the storm per unit area of cover, Sc = the canopy storage capacity per unit area of cover, R = the average rainfall rate onto the canopy. The canopy structure parameters, climatic factors, and interception components of the revised Gash model were estimated as follows. The canopy cover coefficient (c) was directly measured in the field by measuring canopy cover of all trees in each stand, using an optical densiometer. The canopy storage 94 AGROFAZ ∑ PGj [1] j=1 The revised Gash et al. (1995) analytical rainfall interception loss model was used to predict interception loss since it is simple, flexible, and requires a few parameters, which can be easily derived. The model has been reformulated to give a better description of the evaporation flux from sparse forests. Gash et al. (1995) introduced the following analytical model of rainfall interception [2] n+m Where I is the interception loss depth, m is the number of small storms insufficient to saturate the canopy (i.e., < P´G), n equals the number of events which saturate the canopy (i.e., > P´G ) and q equals the number of storms which saturate the trunks, PGj is gross rainfall, st is the trunk storage capacity, pt is the proportion of rainfall reaching the trunks, P’G is amount of rainfall necessary to fill the canopy storage capacity. n −q n −q ∑ PGj [1] j=1 capacity parameter (S) was assumed to be the intercept of the relationship between interception loss and gross rainfall (Figure 1). Sc was calculated as S/c. The proportion of rainfall that is stemflow, pt, and the storage capacity of branches and stems, St, were assumed, consistent with Gash (1979) assumptions, to be the intercept and slope of the relationship between stemflow and gross rainfall. The mean rainfall rate on to the saturated canopy (R mmh-1) was determined from rainfall depth measurements at the site and event duration values recorded at the climatological station at Durango, Dgo., Mexico. The mean evaporation rate from the saturated canopy during rainfall (Ec mmh1 ) was estimated by multiplying the slope of the interception loss versus incident precipitation depth relation by R times the canopy cover coefficient. The coefficient and parameter values for the Gash et al. (1995) revised analytical model are reported in Table 1. ESTUDIOYMANEJODELOSRECURSOSNATURALES Table 1. Coefficient and parameter values for the Gash et al. (1995) revised analytical model of rainfall interception for temperate forests of northeastern Mexico (Source: Návar, 2010). Evapotranspiration, Et, is the amount of green water that leaves the soil via evaporation from the soil surface, Ev, and via transpiration, Tr, as a vital process conducted by plants. An estimator of Et is measured in conventional evaporimeters; and it is named potential evaporation, Etp, because water is fully available for climate to evaporate. Actual evapotranspiration, Et, is the potential evapotranspiration weighted by soil moisture content (θi), plant (Ftv), and climatic (Fc) factors. Soil factors that control Et are the current water content, θi, the water content at wilting point, θpmp, and the soil water content at field capacity, θcc. The plant factor is a function of the type of vegetation, density, age, etc. The climatic factor is a function of the climate parameters that control evapotranspiration (Net radiation, wind speed, moisture deficit, etc.). Evapotranspiration is estimated using these factors as in equation [3]: θ i − θ pmp Ln 100 ∗ θ cc − θ pmp Etp = ∗ Et ∗ Fc ∗ Ftv Ln(101) Details of the soil, plant and climatic factors can be found in several books on hydrology, soil physics, and climatology (Hillel, 1982; Viesmann et al., 1996). In this study, twelve soil samples were collected and distributed within the watershed for physical analysis to estimate the field capacity, the wilting point, soil bulk density, and soil specific density. On site, the depth of soil and litter layer was also measured. The coefficient and parameter values for the soil components of sub model 3 are reported in Table 2. The model was run in a time difference of one day to estimate the current soil moisture content; i.e. θi = θi -1 ± [Precipitación – Intercepción i-1 – Etp i -1]. Where: the i-1 refers as the day bei-1 fore day i. Again, discharge was estimated as the soil moisture content that runs off and that is mathematically described as the amount of soil moisture content above field capacity and this amount of water is subtracted immediately to attain the soil water content at field capacity. Since at this time there is a lack of information on the shape and rate of recession flow, the time of concentration, time to peak, peak flow, etc., hydrographs can not be derived at this point with this model. All this data was employed to run the hydrological model. Information to develop the interception loss model of Gash was obtained from measurements conducted on mixed, pine-oak temperate forests of Nuevo Leon, Mexico by Návar (2010). The climatic factor, Fc, was estimated to be 0.75 in agreement with findings carried out by Penman (1986). The plant factor, Ftv, was estimated to be 1.25. AGROFAZ 95 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 A sensitivity analysis was conducted on the hydrological model by adding the 95% confidence interval values to the mean input parameters. This analysis was conducted for the interception loss parameters Ec, pt, St, and a; for the soil parameters θcc and θpmp; and for the climatic and plant cover factors. The analysis assumed that the ratio of the confidence interval to mean field capacity was similar to the estimate of the confidence interval for the last two parameters (Fc and Ftv). Resulting figures of interception loss, average soil moisture con- tent, and total annual discharge were taken into consideration in the sensitivity analysis. All hydrological parameters (total annual interception loss, evapotranspiration, average soil moisture content, and annual discharge) are a function of total annual precipitation. Therefore, covariance analysis was conducted on the hydrologic variables estimated with mean input parameters and mean plus confidence interval parameters using the covariate precipitation. Table 2. Soil physical parameters of soil samples collected in ‘La Rosilla’ watershed of Durango, Mexico (Source: Silva-Flores, 2007). Where: ASNM = Altitude above sea level (m); P = slope (%), PMO = depth of litter layer (mm); PS = depth of soil (cm); DA = soil bulk density (g cm-3); DR = soil specific density (g cm-3); CC = field capacity (%); PMP = wilting point (%). 96 AGROFAZ ESTUDIOYMANEJODELOSRECURSOSNATURALES RESULTS AND DISCUSION 27.46%). Soil samples. The average altitude above the sea level (2736 m) checks well with the distribution range of mixed pineoak temperate forests (Rzedowski, 1978), which is the dominant vegetation type at ‘La Rosilla’. Soil slope is on the average 19%, which can be considered as moderate for this ecosystem and it is important in the promotion of surface and subsurface flow. The depth of litter layer is on the average 34 mm, and this depth is important to control the infiltration rate and the reduction of surface runoff (Alanis-Morales et al., 2000) in temperate forests. The litter depth also redistributes soil water since this layer is connected to the mineral soil. Soils have an average depth of 20.9 cm, in agreement with the depth of most Leptosoles that cover most of the watershed area. Soil bulk density averages 0.82 g cm-3 and it is small in comparison to the bulk density of most soils dedicated to agriculture and grasslands. High organic matter contents may explain the small soil bulk density measured. This factor may be also contributing to explain why the field capacity and wilting point are on the average high (51.3% and Input parameter values into the model were depth of soil (20.9 cm), field capacity (0.51) and wilting point (0.27). In addition, the climatic and plant factors considered were 0.75 and 1.25. Interception loss parameters that were employed to run the model were: c = 0.050; Ec = 2.637 mm h-1; R = 12.66 mm h-1; P’G = 0.25 mm; Sc = 0.135 mm; and Pt = 0.039. Annual evapotranspiration and interception loss. For the period of 1945 to 2006, interception loss and actual evapotranspiration had an average, standard deviation, and confidence intervals (α=0.05) of 102 mm, 23.8 mm, and 6.5 mm; and 543 mm, 90 mm, and 24.5 mm, respectively. Large temporal variations, close to a 100% (Figure 2) were partially explained by the depth of annual precipitation. Annual discharge. Average, standard deviation, and confidence interval (α=0.05) of annual discharge were 3.17 M m3, 1.44 M m3, and 0.39 M m3, respectively. Minimum (0.32 M m3) and maximum (6.67 Figure 2. Interception loss and actual evapotranspiration figures estimated by the mass balance hydrological model for ‘La Rosilla’ watershed. AGROFAZ 97 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 M m3) figures explains also the large temporal variations of annual discharge. Part of the results of the mass balance hydrological model is reported in Figure 3, which shows the temporal variations of estimated annual discharge for the period of 1945 to 2006. There is not information on annual precipitation for the years 1949-1952, 1958, 1980-1982, 1987, 1990, and therefore, these years miss annual discharge data. Dry spells can be noticed in the 1950’s and most of the 1990’s (Figure 3). This information is in agreement with drought episodes reported by Stahle (2001); Návar (2001; 2004; 2008) for Mexico’s northern forests. Discharge data distributes normally since maximum deviance between observed and predicted probability was 0.095 and maximum allowed deviance with an error of 0.05 is 0.20, according to the Kolmogorov-Smirnoff test (Haan, 2003). Using the mean and standard deviation values for total annual discharge (3.17 and 1.44 M m3, respectively), in 68 out of 100 years, annual discharge would be between 1.73 and 4.61 M m3. In 15 out of 100 years annual discharge would be less than 1.73 and larger than 4.61 M m3. Using the confidence interval value, the long term mean oscillates between 2.78 and 3.56 M m3. The annual discharge abstraction from ‘La Rosilla’ reservoir to supply the city of El Salto, Durango amounts to 1.3 M m3 (SIDEAPAS, 2007). This quantity is not enough to meet demands of this place since the city has a total population close to 22,000 inhabitants and CNA (2005) data reports that the Mexican per capita water use is 260 liters per inhabitant per day. That is, total annual demand accounts for 2.07 M m3 and this figure explains why water is rationalized during several periods of time and for several places of the city. Figure 3. Annual discharge estimated by the mass balance hydrological model for ‘La Rosilla’ watershed. With the use of the normal density function, with the long term mean and standard deviation of 3.17 and 1.44 M m3 and the annual demand of 2.07 M m3, there is a 78% chance that this demand would be met by ‘La Rosilla’ watershed. The rest of the time, 22%, the administration of the water would be needed to rationalize water according to the rules set by the municipality of Pueblo Nuevo or the State of Durango. 98 AGROFAZ Sensitivity Analysis. Total discharge, mean annual soil moisture content, total actual evapotranspiration, and interception loss are most sensitive to changes in soil, climatic and plant parameters (Ftv, Fc, cc, and pmp) and they are quite insensitive to changes in interception loss parameters (Ec, Pt, St, A) (Table 3). Changes in interception loss from 102.75 mm to 99.26 mm with changes in all input parameters are of the order of 2%. Total ESTUDIOYMANEJODELOSRECURSOSNATURALES actual evapotranspiration is quite sensitive to changes in all input parameters (from 542.78 mm to 440.178 mm) and it attains a difference ratio of close to 19%. Average soil moisture content also shifts above 10% when adding the 95% confidence intervals to all input parameters. But total annual discharge is most sensitive because it shifts close to 38% (from 2.578 M m3 to 3.553 M m3) when adding the 95% confidence interval to mean input parameters In fact, the covariance analysis showed that the model slopes that use total precipitation as a covariate were statistically different, when using average input parameters data in contrast to when using the mean ± confidence interval slope data was 1.9779 (± 0.228) and when using the mean + confidence interval of input parameters, the slope had a mean value of 1.5685 (± 0.127) (Figure 4). Table 3. Sensitivity analysis of the mass balance hydrologic model to input parameters for estimating total discharge at ‘La Rosilla’ watershed. AGROFAZ 99 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 Figure 4. The covariance analysis that uses total annual precipitation as a covariate to estimate annual discharge for the watershed ‘La Rosilla’, Durango, Mexico. Therefore, when using the sensitivity analysis, the annual discharge would have a range of 2.578 ± 0.975 M m3, between 1.603 and 3.553 M m3. This range is smaller than 2.578 ± 1.25 M m3, when using the average and standard deviation of discharge values. Large variations (from 1 to 8 M m3 are found with precipitation ranges from 400 to 1400 mm) of the order of 800% are noted in annual discharge with precipitation variations of 350%. That is, annual discharge varies twice as much as it does annual precipitation. Similar findings were observed for total annual interception loss and actual evapotranspiration, although the covariance analysis showed similarity between slopes and intercepts (Figure 5). Total average annual evapotranspiration increase twofold when precipitation increases by threefold (Figure 5). Soil moisture content is statistically different according to the covariance analysis since the intercepts deviated unlike the slopes (Figure 6). Soil moisture content is smaller when the model is run with mean input parameters and attains a larger 100 AGROFAZ value when the model is run with average plus confidence interval data. Annual Et is less variable (350 to 700 mm) than annual discharge. The watershed ‘La Rosilla’ discharges on the average an annual volume of 2.578 M m3, while the reservoir ‘La Rosilla II’ has an ordinary total capacity of 1.5 M m3 and annual demands account for 2.07 M m3. That is, mean annual discharge and demand are larger than the ordinary storage capacity of the reservoir. That is, in 81% of the time the watershed would produce more discharge the reservoir can store. On the other hand, the model predicts that most runoff is produced during the presence of important rainfall events, during the wet season and quite infrequently during the dry season. Although there is not information on the recession curve of hydrographs they must be quite flashy and the reservoir has to discharge most rainfall excess that cannot be stored. Information on the daily storage variations is required in order to calibrate and better understand the physical model fitted to this watershed. ESTUDIOYMANEJODELOSRECURSOSNATURALES Figure 5. The covariance analysis that uses annual precipitation as a covariate to estimate annual evapotranspiration for the watershed ‘La Rosilla’, Durango, Mexico. Figure 6. The covariance analysis that uses total annual precipitation as a covariate to estimate average soil moisture content for the watershed ‘La Rosilla’, Durango, Mexico. AGROFAZ 101 AGROFAZ VOLUMEN 13 NÚMERO 1 2013 In the meantime, these observations show that the volume the reservoir can store must be increased to at least 3.0 M m3 by raising the curtain or building another dam below ‘La Rosilla II’. Part of the excess water of this reservoir can also be stored in elevated water tanks placed at the highest points inside the city of El Salto. A storage management plan must be built up for ‘La Rosilla’ that takes into account the seasonality of discharge, evpotranspiration, and water supply. This can help to better manage water resources of this watershed. CONCLUSIONS This research points out that a mass balance hydrological model predicts an average interception loss, actual evapotranspiration, soil moisture content and total annual discharge of 102 mm, 543 mm, 0.37, and 2.578 M m3, respectively, when annual precipitation averages 917 mm at the watershed ‘La Rosilla’, Durango, Mexico. The model is quite insensitive to interception loss parameters and most sensitive to soil, climatic, and plant factors. The model predicts the range of annual discharge values could be between 2.578 ± 0.975 M m3, or between 1.603 and 3.553 M m3. This volume is sufficient to fulfill the storage capacity of the reservoir ‘La Rosilla II’ every year. Although running the model with a better temporal resolution is required, preliminary conclusions point at increasing the storage capacity of ‘La Rosilla’ reservoir or opening new sources of storage for excess blue water. ACKNOWLEDGMENTS The author of this report thanks M.C. Ramon Silva Flores for providing information on the soil sample parameters for the watershed ‘La Rosilla’. Consejo Nacional de Población (CONAPO). 2000. Estimaciones de la población en México. Consejo Nacional de Población, México, D.F. Contreras, B.S. and Lozano, V.M.L. 1994. Water, endangered fishes, and development perspectives in arid lands of Mexico. Conservation Biology 8: 379-387. Doorenbos, J., and Kassam, A.H. 1979. Yield responses to water. Food and Agriculture Organization of the United Nations, Rome, Italy. Dueñez, J. y Návar J. 2005. Estimación de la frecuencia y magnitud de los escurrimientos superficiales en bosques de coníferas del estado de Durango. Divulgación 4: 42-43. Edwards, R.J. and Contreras, B.S. 1998. Ecological conditions in the Lower Rio Grande/Rio Bravo valley study area and projections for the future. HARC-ITESM Joint Research Project on Water and Sustainable Development in the Binational Lower Rio Grande/Rio Bravo Basin. ITESM, Monterrey, N.L. México. Environmental Resources Limited ERL. 1991. Plan de manejo de los embalses de la cuenca del Río San Juan. Comisión de Comunidades Europeas. Madrid, España. 72 p. Flores-Laureano, J.S. and Návar, J. 2002. An assessment of stream water quality of the Rio San Juan, Nuevo Leon, Mexico, 1995-1996. J. Environ. Qual. 31:1256-1265. García, E. 1987. Modificaciones al sistema de clasificación climática de Köppen (adaptación a la Republica Mexicana). 4ª. Edición, D.F. 130 p. BIBLIOGRAPHY Gash, J.H.C. 1979. An analytical model of rainfall interception by forests. Quaternary Journal Royal Meteorological Society 105: 43-55. Alanís-Morales, H.E. y Návar, J. 2000. The effect of prescribed burning on surface runoff in pine forest stand of Madera, Chihuahua. Forest Ecology and Management 137: 199-207. Gash, J.H.C., Lloyd, C.R. and Lachaud, G. 1995. Estimating sparse forest rainfall interception with an analytical model. Journal of Hydrology 170: 79-86. CFE. Comisión Federal de Electricidad. 1998. Manifiesto de Impacto Ambiental Modalidad General de La Presa La Rosilla II. Elaborado en convenio con CNA. Durango, México. Guerra-Pérez, J. and Návar, J. 2008. Riparian vegetation, fishes and benthic insects of the San Juan River, northeastern Mexico. On Review in River Research. Comisión Nacional del Agua (CNA). 1994. Consejo de Cuenca del Río Bravo. Comisión Nacional del Agua. CNA, Región Noreste. México, D.F. Haan, C.T. 2003. Stochastic Models in Hydrology. Iowa State University Press. Second Edition. 450p. Comisión Nacional del Agua (CNA). 2000. Estadísticas hidrológicas de México. Periódico El Sol de Durango, México. Comisión Nacional del Agua (CNA). 2003. Estadísticas del Agua en México. CNA-SEMARNAT, México. CNA. COMISION NACIONAL DEL AGUA. 2003. Estadísticas del Agua en México. CNA-SEMARNAT, México. D.F. 102 AGROFAZ Hillel, D. 1980. Fundamentals of Soil Physics. Academic Press Ltd. London. U.K. IBWC. International Boundary Water Commission. 1980-1994. Hydrologic bulletins of the Rio Bravo/Rio Grande. IPCC. Intergovernmental Panel on Climate Change. 2001. Impacts, adaptation, and vulnerability. Summary for Policy Makers. Cambridge University Press. Cambridge, UK. 17 pp. ESTUDIOYMANEJODELOSRECURSOSNATURALES IPCC. Intergovernmental Panel on Climate Change. 2007. Impacts, adaptation, and vulnerability. Summary for Policy Makers. Cambridge University Press. Cambridge, UK. SARH-SEP, 1989. El agua y la sociedad en el mundo, en México y en Nuevo León. Instituto de Tecnología del Agua, IMTA, Cuernavaca, Morelos, México. Kleeberg, H-B. and Weissgerber, G.K. 1996. Management of irrigation in semi-arid regions. Natural Resources and Development 40: 113-125. SEMARNAT. Secretaria del Medio Ambiente y Recursos Naturales. 2004. Informe de la situación de los Incendios Forestales en México. http://portal.semarnat.gob.mx/semarnat/ portal. Lizárraga, M.L., de León-Gómez, H., Medina-Barrera, F., and Návar, J. 2005. Evaluation of the aquifer impacted by the landfill of Linares, Mexico. N. Jb. Geol. Palaont. Abh 236: 225-244. Lizárraga, M.L., de León-Gómez, H., Medina-Barrera, F., and Návar, J. 2006. Calidad del agua subterránea en Linares, N.L., México. Ciencia UANL IX: 426-430. Méndez G.J., Návar, J., Gonzalez R.H., y Treviño GE. 2007. Teleconexiones del fenómeno ENSO a la precipitación mensual en México. Ciencia UANL X: 290-298. Mulholland P.J., Best, G.R., Coutant C.C., Hornberger G.M., Meyer J.L., Robinson P.J., Stemberg J.R., Turner R.E., VeraHerrera F., and Wetzel R.G. 1997. Effects of climate change on freshwater ecosystems of United States and the Gulf of Mexico. Hydrological Processes 11: 949-970. Návar, J. 2001. Water supply and demand scenarios in the San Juan Watersed. Geofísica Internacional 40: 121-134. Návar, J. 2004. Water supply and demand in the lower Rio Bravo/Rio Grande basin: the irrigated agriculture scenario. Geofísica Internacional 43: 495-506. Návar, J. 2007. Atlas Hidrológico del Estado de Durango. Inédito. Návar, J. 2008. Reconstrucción de las sequías en los últimos 10000 años en el norte de México. AGROFAZ 8: 41-53. Návar, J., Arreola-Ortiz, M.R. y González-Elizondo, M. 2010. Análisis de las sequías y productividad con cronologías de Pseudotsuga menziesii Rob & Fern. y su asociación con eventos climáticos en el noreste de México. Investigaciones Geográficas 71: 7-20. Návar, J. 2010. The performance of the Gash interception loss model in temperate forests of northern Mexico. Inédito. Penman, H.L. 1986. Natural evaporation from open water, bare soils and grass. Proc. Roy. Soc. London A (194), S. 120-145. Pereyra, L.S., Oweis, T., and Zairi, A. 2002. Irrigation management Ander water scarcity. Agricultural and Water Management 57: 175-206. SIDEAPAS. Sistema de Agua Potable y Alcantarillado de la Ciudad de Durango. 2007. Estadísticas del agua en el estado de Durango. Durango, Dgo., México. Schmandt, J., Aguilar, I, Armstrong, N., Chapa, L., Contreras, S., Edwards, R., Hazelton, J., Mathis, M., Návar, J., Vogel, E., and Ward, G. 2000. Water and sustainable development. Executive Summary. EPA research Agreement R 82479901-0. March 31, 2000. Schmitt, T.G. 1997. Water protection human beings a triangular relationships in changing times. Applied Geography and Development 49: 59-78. Soley, W.B., Pierce, R.R., and Perlman, H.A. 1998. Estimated use of water in the United States in 1995. U.S. Geological Survey Circular No 1200. Stahle, D.W., D’Arrigo, R.D., Krusic, P.J., Cleaveland, M.K., Cook, E.R., Allan, R.J., Cole, J.E., Dunbar, R.B., Therrell, M.D., Gay, D.A., Moore, M.D., Stokes, M.A., Burns, B.T., Villanueva-Diaz, J., and Thompson, L.G. 2001. Southern oscillation index reconstruction. http://ftp.ncdc.noaa.gov/ pub/data/paleo/treering/reconstructions/soi_recon.txt. UNCED. 1992. United Nations Conference on Environment and Development, Agenda 21, Chapter 18, sections 8 and 9. Rio de Janeiro, Brazil. Viessman, W.J., G.L. Lewis, y J.W. Knapp. 1996. Introduction to Hydrology. Fourth Edition. Harper & Row. New York. USA: 780 p. Vogel E., Bernal, M.A., Návar, J., y Alanís, G. 1995. Study of the chemical analysis of contamination by metals of the Pesquería river. In: Second Inter American Environmental Congress. ITESM, Monterrey, N.L. México. P 131-134. Ward, G. 1998. Water supply in the US side of the Lower Rio Bravo/Rio Grande watershed. HARC-ITESM Joint Research Project on Water and Sustainable Development in the Binational Lower Rio Grande/Rio Bravo Basin. ITESM, Monterrey, N.L. Mexico. Postel, L.S. 2000. Entering an era of water scarcity: the challenges ahead. Ecological Applications 10 (4): 941-948. Rzedowski, J. 1978. Vegetación de México. Editorial LIMUSA. México. D.F. AGROFAZ 103