Stoch Environ Res Risk Assess (2012) 26:847–858 DOI 10.1007/s00477-011-0524-2 ORIGINAL PAPER Impacts of climate change on the Qingjiang Watershed’s runoff change trend in China Hua Chen • Tiantian Xiang • Xing Zhou Chong-Yu Xu • Published online: 23 September 2011 Ó Springer-Verlag 2011 Abstract Qingjiang River, the second largest tributary of the Yangtze River in Hubei Province, has taken on the important tasks for power generation and flood control in Hubei Province. The Qingjiang River watershed has a subtropical monsoon climate and, as a result, has dramatic diversity in its water resources. Recently, global warming and climate change have seriously affected the Qingjiang watershed’s integrated water resources management. In this article, general circulation model (GCM) and watershed hydrological models were applied to analyze the impacts of climate change on future runoff of Qingjiang Watershed. To couple the scale difference between GCM and watershed hydrological models, a statistical downscaling method based on the smooth support vector machine was used to downscale the GCM’s large-scale output. With the downscaled precipitation and evaporation, the Xin-anjiang hydrological model and HBV model were applied to predict the future runoff of Qingjiang Watershed under A2 and B2 scenarios. The preformance of the one-way coupling approach in simulating the hydrological impact of climate change in the Qingjiang watershed is evaluated, and the change trend of the future runoff of Qingjiang Watershed under the impacts of climate change is presented and discussed. H. Chen (&) C.-Y. Xu State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China e-mail: chua@whu.edu.cn T. Xiang X. Zhou School of Water Resources and Hydropower Engineering, Wuhan University, Wuhan 430072, China C.-Y. Xu Department of Geosciences, University of Oslo, P.O. Box 1047, Blindern, 0316 Oslo, Norway Keywords Climate change Qingjiang watershed Statistical downscaling Xin-anjiang model HBV model 1 Introduction Global climate change, due to the increase of greenhouse gases concentration in atmosphere, has caused environmental crisis in many areas around the world. Since the distribution of water resources is very sensitive to climate change, global warming is likely to have significant effects on hydrological cycle (Solomon et al. 2007). In China, water resources are unevenly distributed between North and South China, the same is true between seasons. Moreover, both droughts and floods are becoming more frequent in different areas under climate change, which makes it an important and urgent task to conduct research about potential impacts of climate change on water resources. To investigate the impacts of climate change on surface water resources, the most useful tool is the hydrological model driven by the output from general circulation model (GCM) (Gleick 1986; Obeysekera et al. 2011; Sahoo et al. 2011; Schulze 1997). In other words, the climate change impacts on a watershed’s hydrological processes are mostly investigated by analyzing the river flows which are simulated from the hydrological models forced by the precipitation and evaporation data derived from GCMs outputs corresponding to a specific climate change scenarios. In this one-way connection, the climate change scenarios projected by GCMs and the hydrological model are independent research objects. GCMs are the most essential and feasible tools for prediction of future global climate change at large scale. However, because of the low resolution of the output from large scale GCMs, the model can hardly provide detailed climate features and dynamics of small regions (Wigley et al. 123 848 1990; Xu et al. 2005). To cope with this challenge, it is of vital importance to transform the changes of large scale atmospheric predictors of GCMs to the changes of regionalscale climate variables, such as precipitation and temperature which could be used as input to hydrological model. The methods used to convert GCMs outputs into local meteorological variables required for reliable hydrological modeling are usually referred to ‘‘downscaling’’ techniques (Grotch and Maccracken 1991; Vonstorch et al. 1993; Wilby et al. 2002; Wilby and Wigley 1997). There are various downscaling methods available, which are mainly classified into two categories: dynamic and statistical downscaling methods. However, it is not clear which one can provide the most reliable estimates of daily rainfall time series in a given region. Over the past few years, numerous studies have been conducted on the modeling of climate change impacts on runoff by using downscaling methods (Chiew et al. 2010; Dibike and Coulibaly 2005; Dibike and Coulibaly 2007; Kim et al. 2007; Prudhomme and Davies 2009; Quilbe et al. 2008; Segui et al. 2010; Wilby et al. 1999). Chiew et al. (2010) assessed the runoff simulated by the SIMHYD rainfall-runoff model with daily rainfall which was downscaled from three GCMs using five downscaling models. Segui et al. (2010) evaluated the uncertainty related to climate change impacts on water resources by applying a distributed hydrological model and three different downscaling techniques. Prudhomme and Davies (2009) used a lumped conceptual rainfall-runoff model, three GCMs and two downscaling techniques to investigate the climate change impacts on river flows. Dibike and Coulibaly (2005) applied two types of statistical (a stochastic and a regression based) downscaling techniques and two different hydrologic models to simulate the corresponding future flow regime in the catchment. Literature survey reveals that various methods have been used to obtain catchment-scale climate series, informed by GCMs simulations for the future and current climates, to drive hydrological models. There is no single ‘‘best’’ scenario or hydrological model that was found to be significantly better or to have a systematic bias smaller than the others. Hence, more than one climatic scenarios and hydrological models have been used to obtain more comprehensive and less uncertain results. The aims of this study are (1) to evaluate the performance of the one-way coupling approach in the Qingjiang River region that links GCM’s scenarios with two hydrological models through statistical downscaling method, and (2) to analyze the future change trend of precipitation, evaporation and runoff, and investigate the potential of the two hydrological models and compare the difference between them for climate impact study. To achieve the primary goals, a statistical downscaling method, named smooth support vector machine (SSVM) was used together with two well-known hydrological models, i.e., the xin-anjiang model (Zhao 123 Stoch Environ Res Risk Assess (2012) 26:847–858 1992) and HBV-96 model (Bergstrom 1975). In the study, the NCEP reanalysis data was used to validate the statistical downscaling model and the A2 and B2 emissions scenarios of CGCM2 were used to predict future scenarios of precipitation, temperature and evaporation, which were used as inputs to the hydrological models. 2 Study area and data 2.1 Study area Qingjiang River watershed, the second largest tributary of the Yangtze River in Hubei Province in China, flows circuitously from west to east for 423 km, has a drainage area of about 17000 km2 (as shown in Fig. 1). Located in a subtropical monsoon climate zone, this area is subject to both the warm/wet airflows from southwest and the southeast flow from the Pacific Ocean, which bring abundant precipitation to Qingjiang Watershed. The mean annual precipitation measured in different stations varies from 1000 to 2000 mm, and the area mean precipitation is 1460 mm from the period of 1960–1991. Tropical weather system such as typhoon is also active in this area; hence, rainstorm is most likely to happen, which leads to uneven annual distribution of precipitation. By contrast, the interannual variation of precipitation is not very pronounced. The ratio of the maximum annual precipitation to the minimum value is generally about 1.5–2.0. The cascade hydroelectric power stations in Qingjiang Watershed regulate peak load and frequency in both central China region and Hubei Province. After the construction is completed in 2008, the peak load regulation capacity of those power stations constitute about one-eighth to one-seventh of that of the central China region. Meanwhile, since Qingjiang Watershed is the nearest watershed to the Jingjiang reach among all the main tributaries affluxing to Yangtze River, flood regulation in Qingjiang Watershed plays significant role to flood control in Yangtze River. Therefore, the knowledge of the future water production is indispensable for water resources planning and management. This study mainly analyzes the potential influence of global climate change on water resources of Qingjiang Watershed. The results could contribute to the rational and efficient exploration of water resources in the region and provide theoretical reference for sustainable development of water resources. 2.2 Study data The upper stream of Geheyan Reservoir is set as the research area in this study. The drainage area above this reservoir is about 14430 km2. In order to establish statistical relationship between large scale climate factors and Stoch Environ Res Risk Assess (2012) 26:847–858 849 Fig. 1 Location of hydroclimate stations in the Qingjiang watershed observed data of precipitation and evaporation, longer time series data was needed. As listed in Table 1, the daily precipitation, evaporation and runoff data recorded at 23 hydro-climate stations were selected to calibrate and verify the hydrological models in Qingjiang Watershed in this study. However, only 6 stations (marked with bold) which have long series of data from 1962 to 1999 were chosen to establish the statistical downscaling method. The NCEP reanalysis data are used to validate the statistical model and the A2 and B2 emissions scenarios of CGCM2 are used to predict future precipitation in the region. The spatial resolution of NCEP grid is 2.5° 9 2.5° and Qingjiang Watershed is covered by four grids. As a result of subtropical monsoon climate, the precipitation in the Qingjiang Watershed, causing by sea level pressure (MSLP), geopotential height (GH) and humidity, is concentrated mostly in summer and autumn. Considering the physical correlation, the present study select 6 factors as the input of downscaling model in the first place, i.e., sea level pressure, surface air temperature, 500 hpa geopotential height (GH) and specific humidity (SH), 850 hPa GH and SH. 3 The statistical downscaling method and hydrological models 3.1 Statistical downscaling method Statistical downscaling methods seek to draw empirical relationships that transform large-scale features of GCM (predictors) to regional-scale variables (predictands), such as precipitation and temperature. In order to integrate GCM with the watershed hydrological models, a statistical downscaling method, named SSVM, is used to establish the relationships between climate factors and hydrological variables, which has been proved to be an effective statistical downscaling method in the analysis of climate impact on the water resource in Hanjiang basin (Chen et al. 2010; Guo et al. 2009). One of the most crucial steps in downscaling process is to select the most relevant predictors from GCM’s largescale output. Since some of these factors may contribute little to precipitation projection, second screening is needed. The correlation coefficients of each predictors and local precipitation are shown in Table 2. Comparing to the other factors, 500 and 850 hpa SH show the strongest correlation, with correlation coefficients of over 0.3. For precipitation projection, those factors with correlation coefficients of over 0.3 are selected to establish the statistical relationship with local precipitation. Since evaporation and precipitation are affected by different climate factors, all the predictors should be screened again to select the most suitable ones. With the same method, the correlation coefficients of local evaporation and each predictor are calculated and showed in Table 2. The results show that local evaporation has more distinct and stronger relationship with climate predictors than the local precipitation. To project evaporation, those factors with correlation coefficients of over 0.5 are selected to establish the statistical relationship with local evaporation. 3.2 Hydrological models In order to investigate the difference resulted from using between different hydrological models in calculating 123 850 Stoch Environ Res Risk Assess (2012) 26:847–858 Table 1 Information of the meteoritical stations used in the study No. Station Station type Longitude 1 Xinbanqiao P 109°180 2200 0 Altitude (m) Length of data 30°280 4000 1840 1971–1984 00 30°480 0300 1250 1971–1984 30°200 0700 1000 1971–1984 00 2 Maotian P 109°52 58 3 Tuanbao P 109°080 2000 0 Latitude 00 0 4 Gaoping P 110°04 48 30°39 42 770 1971–1984 5 Hongtuxi P 109°540 3000 30°150 5200 1340 1971–1984 6 Huaguoping P 109°590 4800 30°260 5900 1280 1971–1984 7 Yeshanguan P 110°190 1500 30°370 0300 1100 1971–1984 8 Wufeng P 110°400 2400 30°120 1500 640 1971–1984 9 Taoshan P 110°400 4000 30°260 1000 0 00 0 330 1971–1984 00 10 Yazikou P 110°07 04 30°26 07 116 1971–1984 11 12 Caihua Baozi P P 110°260 5400 110°440 1000 30°120 3000 30°370 1600 480 1200 1971–1984 1971–1984 13 Dayan P 111°050 0100 30°200 1600 600 1971–1984 14 Langping P 110°300 0400 30°360 5200 480 1971–1984 00 0 00 0 15 Gaojiayan P 111°03 00 30°35 58 133 1971–1984 16 Jinguoping P 110°130 4200 30°170 3300 590 1971–1984 17 Enshi P 109°270 5500 30°180 2800 520 1962–1999 18 Nanlidu P 109°420 5800 30°270 1500 880 1962–1999 19 Xuanen P 109°270 4400 29°590 0700 760 1962–1999 0 00 0 00 20 Lichuan P 108°54 50 30°17 31 1080 1962–1999 21 Jianshi P 109°430 4500 30°360 1500 540 1962–1999 22 Yuxiakou P/E 109°430 4500 30°250 0800 216 1962–1999/1971–1999 30°270 4200 180 1962–1999 23 Geheyan R 0 111°08 33 00 P precipitation station; P/E precipitation/evaporation station; R runoff station. Stations marked in bold letters are used to calibrate and verify statistical downscaling model hydrological impact of climate change, two widely-used hydrological models, i.e., Xin-anjiang model (Zhao 1992) and HBV model (Bergstrom 1975) are utilized in this study. 3.2.1 Xin-anjiang model Xin-anjiang model was initially developed by (Zhao 1992). It was first used in prediction of Xin-anjiang Reservoir inflow, and since then was widely used for flood forecasting, streamflow simulation and hydrological impact studies in China and in many countries in the world (Jiang et al. 2007; Li et al. 2009; Liu and Zheng 2004; Yang et al. 2010; Zhang and Lindstrom 1996; Zhang and Chiew 2009). Its major feature is the concept of runoff formation as a dependent variable of repletion of storage, i.e., runoff is not produced until the soil moisture content of the aeration zone researched field capacity, and thereafter, runoff is equal to the rainfall excess without further loss. The detailed description of the model is widely available in the literature including the above cited ones. 123 3.2.2 HBV model The HBV model is a conceptual hydrological model and it was originally developed at the Swedish Meteorological and Hydrological Institute (SMHI) for runoff simulation and hydrological forecasting in the early 1970s (Bergstrom 1975). It consists of routines for snow accumulation and melt, soil moisture accounting, runoff response, and finally a routing procedure. The model is based on a sound scientific foundation and can meet its data demands in most areas, which has the scope of applications in more than 40 countries (Ashagrie et al. 2006; Bergstrom et al. 2001; Boggild et al. 1999; Hagg et al. 2004; Love et al. 2010; Sorman et al. 2009; van den Hurk et al. 2002; Wohling et al. 2006; Yu and Wang 2009). 4 Results and analysis 4.1 The development of the statistical downscaling method To test the performance of the statistical downscaling model, SSVM, the NCEP/NCAR Reanalysis data are Stoch Environ Res Risk Assess (2012) 26:847–858 851 Table 2 Correlation coefficients between climate factors and precipitation/evaporation Precipitation Hydrological stations Grid center lat/lon SLP SAT (2 m) 500 hpa GH 500 hpa SH 850 hpa GH 850 hpa SH Enshi 28.75_108.75 -0.25 0.24 0.19 -0.22 0.3 0.32 28.75_111.25 -0.24 0.24 0.21 -0.2 0.29 0.31 31.25_108.75 -0.22 0.2 0.19 -0.19 0.37 0.28 31.25_111.25 -0.22 0.2 0.2 -0.19 0.39 0.3 28.75_108.75 -0.26 0.25 0.2 -0.22 0.31 0.33 28.75_111.25 -0.25 0.25 0.22 -0.21 0.3 0.32 31.25_108.75 31.25_111.25 -0.23 -0.23 0.21 0.22 0.2 0.21 -0.2 -0.2 0.38 0.4 0.29 0.31 Jianshi Lichuan Nanlilu Xuanen Yuxiakou Area precipitation Evaporation 28.75_108.75 -0.25 0.24 0.2 -0.21 0.32 0.32 28.75_111.25 -0.24 0.24 0.22 -0.2 0.31 0.31 31.25_108.75 -0.22 0.2 0.19 -0.19 0.39 0.28 31.25_111.25 -0.22 0.21 0.21 -0.19 0.4 0.3 28.75_108.75 -0.27 0.26 0.21 -0.24 0.34 0.35 28.75_111.25 -0.27 0.26 0.23 -0.23 0.34 0.35 31.25_108.75 -0.24 0.22 0.21 -0.21 0.41 0.31 31.25_111.25 -0.24 0.22 0.22 -0.21 0.43 0.33 28.75_108.75 -0.24 0.22 0.18 -0.22 0.31 0.31 28.75_111.25 -0.24 0.22 0.19 -0.21 0.3 0.31 31.25_108.75 -0.21 0.18 0.17 -0.19 0.36 0.27 31.25_111.25 -0.21 0.19 0.19 -0.19 0.39 0.29 28.75_108.75 -0.25 0.22 0.17 -0.22 0.3 0.31 28.75_111.25 31.25_108.75 -0.24 -0.22 0.22 0.19 0.19 0.17 -0.21 -0.2 0.3 0.34 0.31 0.27 31.25_111.25 -0.22 0.19 0.18 -0.2 0.38 0.29 28.75_108.75 -0.32 0.3 0.24 -0.28 0.39 0.4 28.75_111.25 -0.31 0.3 0.26 -0.26 0.38 0.4 31.25_108.75 -0.28 0.25 0.23 -0.25 0.46 0.36 31.25_111.25 -0.28 0.26 0.25 -0.25 0.49 0.38 28.75_108.75 -0.4658 0.5827 0.5167 -0.2965 0.2445 0.4251 28.75_111.25 -0.4883 0.5675 0.4933 -0.3279 0.213 0.4121 31.25_108.75 -0.4952 0.6172 0.5635 -0.305 0.2345 0.4953 31.25_111.25 -0.4986 0.5967 0.5462 -0.3127 0.1672 0.4733 SLP sea level pressure; SAT surface air temperature; GH geopotential hight; SH specific humidity utilized as large scale predictors to calibrate and verify the model. In the process of building SSVM model to predict the precipitation, the 30 years’ data from 1962 to 1991 is used for calibration, and the data from 1992 to 1999 is used for validation; while to the evaporation, the data from 1971 to 1995 is used for calibration and from 1996 to 1999 for validation. Since the main purpose of the statistical downscaling in this study is to predict daily precipitation and evaporation scenarios that are to be used as input to the hydrological models to simulate future water resources scenarios in the Qingjiang watershed, the differences in the mean and standard deviation between observed and simulated daily precipitation and evaporation are considered to be most important and therefore are used as the criteria in evaluating the downscaling model. The comparison results are shown in Table 3. It can be seen from Table 3 that in simulating the monthly mean precipitation of 6 hydrological stations and the area precipitation of Qingjiang Watershed which was calculated by using the arithmetic average method, the relative errors of projected and observed monthly mean precipitation are generally less than 5% in the calibration and validation periods, and the relative errors of standard deviation are around 10% for the area values and are generally less than 15% for individual stations, in both calibration and validation periods. These results demonstrate SSVM’s good performance in simulating monthly precipitation. Evaporation, another important hydrological 123 852 Stoch Environ Res Risk Assess (2012) 26:847–858 Table 3 Monthly precipitation and evaporation simulations of SSVM in the calibration and validation period Hydrological stations Time period Observed Mean (mm/d*30.4) Precipitation Enshi Mean (mm/d*30.4) RE (%) SD (mm/d*30.4) RE (%) 123.92 103.15 128.39 3.68 98.85 -4.79 Validation 121.14 101.85 115.38 -3.11 90.22 -12.09 Jianshi Calibration Validation 118.66 118.02 100.59 108.95 122.31 110.46 2.86 -0.26 97.15 92.39 -6.98 -13.61 Lichuan Calibration 110.98 88.07 113.56 4.68 84.34 -0.83 Validation 111.48 98.37 107.84 -2.10 86.62 -15.12 Calibration 117.57 93.93 121.31 3.42 89.67 -2.84 Validation 111.48 98.37 106.54 -5.67 88.20 -9.89 Calibration 125.69 102.64 130.90 5.19 94.76 2.79 Validation 118.68 93.30 115.03 -5.25 81.34 -15.38 Calibration 89.15 76.96 94.07 4.03 72.00 -8.50 Validation 80.61 69.98 78.37 -1.66 61.95 -13.97 Calibration 117.63 89.93 120.44 5.02 89.14 -8.18 Validation 114.39 90.44 107.25 -0.10 81.62 -11.84 Calibration 1.86 1.41 1.88 0.99 1.14 19.33 Validation 1.80 1.33 1.93 7.29 1.16 12.77 Xuanen Yuxiakou Area precipitation input to the hydrological models, is also downscaled with SSVM. Table 3 also shows statistics of evaporation simulation. In both periods, the relative errors between the projected and observed evaporation are under 10%, and the relative error of standard deviation is lower than 20%. It is notable that SSVM is also a useful tool for building relationship between large-scale GCM predictors and evaporation. To investigate the performance of SSVM in simulating the precipitation and evaporation from GCM’s predictions, the results of downscaled precipitation and evaporation using A2 and B2 scenarios of CGCM2 as predictors are compared with those using NCEP reanalysis data as predictors in the validation period (1992–1999), and comparison was shown in Fig. 2. For precipitation, there is a better agreement between the observed precipitation and the simulations from the NCEP/NCAR reanalysis data than the simulations from A2 and B2 scenarios. In general, the performance in downscaling evaporation was better than that of precipitation except in spring. The comparison also reveals that although there are some errors in downscaling precipitation and evaporation from GCM predictions, the results are considered to be acceptable in providing inputs into the hydrological models to predict the runoff in future. 4.2 The results of the hydrological models Observed daily precipitation, evaporation and runoff data from 1971 to 1979 are used for model calibration, and data 123 SD (mm/d*30.4) Calibration Nanlilu Evaporation SSVM from 1980 to 1984 are served for evaluating the model performance. The relative error of total runoff volume and the Nash–Sutcliffe efficiency are used to evaluate the predictive accuracy of the hydrological models. The parameters of the hydrological models are optimized with three algorithms, namely Rosenbrock (Rosenbrock 1960), simplex (Nelder and Mead 1965; Spendley et al. 1962) and genetic (Wang 1991). Efficiency of the hydrological models is shown in Table 4. The both models demonstrate good simulation performance, with NS of over 85% in both calibration and validation periods, hence the two models could be used in practical prediction. For illustrative purpose, the simulated and observed runoff hydrographs in flood season of 1983 were shown in Fig. 3, which showed both models provide satisfactory simulation results. The responses of the two hydrological models to the downscaled scenarios in the period of 1992–1999 are presented in Fig. 4, which shows that the simulated runoff driven by A2 and B2 scenarios of CGCM2 had bigger error than that of NCEP/NCAR reanalysis data. When comparing Fig. 2 and 4, it can be deduced that the errors of runoff simulations are mainly from their inputs, such as the downscaled precipitation and evaporation, rather than from the hydrological models themselves. Similar conclusions are found in the literatures (Chiew et al. 2010; Prudhomme and Davies 2009). The comparison annual runoff simulations were drawn in Fig. 5, which illustrated that there was little difference between the performances of the two hydrological models, however, significant difference Stoch Environ Res Risk Assess (2012) 26:847–858 Obs. 350 NCEP 853 A2 B2 NCEP A2 B2 120 Evap.(mm/month) 300 Prec.(mm/month) Obs. 140 250 200 150 100 50 100 0 1 2 3 4 5 6 7 8 80 60 40 20 0 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 Month Month Fig. 2 Comparison of monthly precipitation and evaporation simulations and their observations respectively in the validation period (1992–1999) Table 4 Efficiency of hydrological models optimized on the Qingjiang catchment Hydrological model Calibration NS (%) Validation RE (%) NS (%) RE (%) Xin-anjiang model 89.57 3.70 93.01 5.40 HBV model 90.61 1.00 92.4 0.94 NS Nash–Sutcliffe efficiency; RE error of total runoff volume 0 10000 20 9000 7000 6000 40 Precipitation 60 Observed runoff 80 Xin-anjiang model result 100 5000 4000 HBV model result 120 3000 140 2000 160 1000 180 0 200 Precipitation(mm/d) 8000 Runoff(m 3 /s) Fig. 3 Comparison of the simulated and observed hydrographs in the flood season in 1983 Date between the performances of the A2 and B2 scenarios of CGCM2 are seen. This also implies that more climatic scenarios should be considered in the study of climate change impact on runoff. 4.3 Prediction and analysis of future precipitation and evaporation in Qingjiang Watershed To predict the future trend of precipitation, the observed precipitation in the period of 1962–1990 is considered as base period. The area precipitation of Qingjiang Watershed is obtained from the 6 rainfall stations by using the arithmetic average method. The future time period was divided into three parts: 2011–2040 (2020s), 2041–2070 (2050s), and 2071–2100 (2080s). Statistics of the annual precipitation in the three time periods are shown in Table 5. In 2020s and 2050s, the annual precipitation under A2 scenario will be 13 and 0.13% less than the mean value of base period, while the precipitation in 2080 s will be 13.68% more than the mean value of base period. The evolution trend of precipitation under B2 scenario is similar to that under A2 scenario, except that the decreasing extent in the first period and the increasing extent in the last period are reduced. It is evident that the future precipitation under A2 scenario is more fluctuated. When the three periods are considered as a whole, the average precipitation in the 123 854 Stoch Environ Res Risk Assess (2012) 26:847–858 Fig. 4 Comparison of monthly mean runoff simulations by Xinanjiang model (a) and HBV model (b) in the validation period (1992–1999) (a) Q_Obs Q_A2 1400 Q_NCEP Q_B2 Q(m3 /s/Month) Q(m3 /s/Month) 800 600 400 600 400 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 Month scenarios, which are 5.37 and 3.77%, respectively. Figure 7 presents the annual evaporation of future periods under A2 and B2 scenarios. Generally, the future annual evaporation exceeds that of base period, which is resulted from rising temperature. According to Fig. 7, future evaporation of Qingjiang Watershed under the two scenarios would maintain a significant linear trend of increase, with the P-values less than 0.05. qH_b2 qX_ncep qH_ncep 1999 1998 1997 1996 1995 1994 1993 4.4 Prediction and analysis of future runoff in Qingjiang Watershed 1992 8 3 Runoff(10 m ) 800 0 2 Month Year Fig. 5 Comparison of annual runoff simulations driven by various scenarios in the period of 1989–1999 future indicates a slight decrease with a change rate of -0.29% under A2 scenario and -0.16% under B2 scenario. Detailed variations of the projected annual precipitation of future periods are shown in Fig. 6. The projected total precipitation under B2 scenario is more than that under A2 scenario during the next 31 years (2011–2051), while the precipitation under B2 is less than that under A2 scenario after 2052. Figure 6 also shows that the annual precipitation during 2011–2052 is less than that of base period, while after that the precipitation increases and exceeds the values in base period until the end of the century. To analyze the future evolution trend of precipitation in Qingjiang Watershed, linear regression method is applied in this study. The results, presented in Fig. 6, show that the future precipitation of Qingjiang Watershed under the two scenarios would maintain a significant linear trend of increase, with the P-values much less than 0.05. With the same method the future evaporation is downscaled. Table 5 shows the projected annual evaporation under the two scenarios. It can be concluded from the table that the future evaporation under A2 scenario would increase at a faster rate than that under B2 scenario. This can also be verified by the mean change rates under the two 123 1000 200 1 200 180 160 140 120 100 80 60 40 20 0 Q_NCEP Q_B2 1200 1000 0 qX_a2 qH_a2 qX_b2 Q_Obs Q_A2 1400 1200 200 qobs. (b) By inputting the precipitation and evaporation downscaled by SSVM to the Xin-anjiang model and the HBV model, future runoff under A2 and B2 scenarios could be projected. To analyze the future trend of runoff, the observed data from 1962 to 1990 are considered as reference. Table 6 shows the change rate of future runoff under two scenarios. Under A2 scenario, the projected runoff of Xinanjiang model in the first future time period is 16.46% less than the mean value in the base period, while in the last two periods, the runoff will be 13.86 and 20.71% higher that the mean values in the base period respectively. The result obtained under B2 scenario is similar, but with less extent of change in the three periods. In other words, the future runoff projected under A2 scenario is generally more fluctuated than that under B2 scenario. The projected runoff of HBV model shows the similar trend. To further analyze the change trend of runoff in the upcoming 100 years, the future annual runoffs projected by the two hydrological models under the two scenarios are respectively presented in Fig. 8 and the linear regression method is used in this part. The results presented in Fig. 8 show that the projected runoff of the two models in Qingjiang Watershed would maintain an increasing trend under A2 scenario. The increasing rate projected by the two models would be 6.04 and 4.38% respectively. The results under B2 scenario demonstrate the similar changing trend. The increasing rates of the two models are 4.81 and 2.78%, respectively. According to Fig. 8, the future annual runoff during 2011–2051 would be less than the annual Stoch Environ Res Risk Assess (2012) 26:847–858 855 Table 5 Projected annual precipitation (mm) and evaporation (mm) under A2 and B2 scenarios in future Scenario Precipitation A2 B2 Evaporation A2 B2 Base period 2020s 2050s 2080s 1595.34 1403.33 1200.79 1401.56 Change rate (%) -14.43 -0.13 13.68 1403.33 1273.29 1401.56 1528.26 Change rate (%) -9.27 -0.13 8.9 671.08 670.62 688.63 762.06 Change rate (%) -0.07 2.61 13.56 671.08 677.81 688.25 702.85 1.00 2.56 4.73 Change rate (%) Mean -0.29 -0.16 5.37 2.77 Base period is 1962–1990 2100 Annual precipitaion(mm/y) Fig. 6 Projected annual precipitation under A2 and B2 scenarios in future 1900 A2 B2 Linearity (A2) 1700 Lineartiy (B2) 1500 1300 1100 Annual precipitation of base period 900 2011 2021 2031 2041 2051 2061 2071 2081 2091 Year Fig. 7 Projected annual evaporation under A2 and B2 scenarios in future runoff of base period. The result of HBV model demonstrates the same trend. 5 Summary and discussion The one-way coupling approach that links GCM’s predictions with hydrological models by using a statistical downscaling method evaluated in the Qingjiang watershed. The validated approach was used to investigate the impacts of climate change on future runoff in Qingjiang Watershed. The study also demonstrated the application of Xin-anjiang hydrological model and HBV model in this research area. After optimizing the parameters of the models with observed data, their results showed satisfactory simulation performance, with NS efficiency value 123 856 Stoch Environ Res Risk Assess (2012) 26:847–858 Table 6 Projected annual runoff (108m3) in future Model Scenario Xin-anjiang A2 HBV Base period 2020s 2050s 2080s Mean 138.5 146.9 129.0 121.7 101.6 Change rate (%) -16.46 B2 121.7 111.3 Change rate (%) -8.54 A2 121.7 101.4 Change rate (%) -16.68 121.7 110.2 Change rate (%) -9.44 B2 13.86 20.71 127.2 6.04 144.1 4.52 127.5 18.45 134.9 4.81 144.7 10.91 127.0 18.9 124.4 4.38 140.6 2.26 125.0 15.53 2.78 Base period is 1962–1990 (a) 8 3 Annual runoff (10 m ) Fig. 8 Projected annual runoff under A2 (a) and B2 scenario (b) in future 210 190 170 150 Xin-anjiang HBV Linearity (Xin-anjiang) Linearity (HBV) 130 110 90 Annual runoff of base period 70 50 2011 2021 2031 2041 2051 2061 2071 2081 2091 2061 2071 2081 2091 Year Annual runoff (108 m3 ) (b) 190 170 150 130 110 90 70 50 2011 2021 2031 2041 2051 Year of over 85% in both the calibration and validation periods. The simulations of precipitation and evaporation using SSVM downscaling model showed that this model could be used in future prediction of those hydrological variables in the study region. The precipitation and evaporation obtained from the downscaling model under A2 and B2 scenarios were used to analyze the future trend. Moreover, the downscaled precipitation and evaporation were used as inputs to Xin-anjiang hydrological model and HBV model to predict the runoff in the future. Analysis of change trend of precipitation, evaporation and runoff during 2011 to 2100 was accomplished with linear regression. The results indicated that the average annual precipitation during 2011–2052 is less than that of base period (1962–1990), while after that the precipitation increases and exceeds the 123 values in base period. In general, the future precipitation of Qingjiang Watershed under the two scenarios would maintain a significant increasing trend from below the base period in the first half of the century to above the base period in the second half of the century. The future annual evaporation would increase by 5.37% under A2 scenario, while the increase rate would be 3.77% under B2 scenario. With the same method, the change trend of the projected runoff was evaluated. The output from Xin-anjiang model demonstrated that the future runoff of Qingjiang Watershed under A2 and B2 scenarios would be less than the base period during 2011–2040 and higher than the base period thereafter. The results of HBV model show the similar changing pattern. From the above discussion, it can be seen that there is slightly difference between the two hydrological models in Stoch Environ Res Risk Assess (2012) 26:847–858 predicting future runoff in Qingjiang watershed and the change trends of runoff driven by the two hydrological models are consistent. It is also found that the runoff simulation driven by A2 and B2 scenarios had a poorer performance compared to the simulation driven by the observed precipitation and even to NCEP/NCAR reanalysis data in the period of 1992–1999. It can be concluded that in the process of studying climate change impact on water resources, the main uncertainties are from the GCMs and the downscaling sector. Acknowledgements NCEP–NCAR daily reanalysis data and CGCM2 daily data were downloaded freely from the Internet: http://dss.ucar.edu/pub/reanalysis/ and www.cccma.ec.gc.ca respectively. 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