The hydrologic cycle in the river basins of semi-arid regions is severely influenced by climate change. The aim of this study is to assess the impact of climate change on the hydro-climatic condition in Zoshk-Abardeh watershed in eastern Iran. The Soil and Water Assessment Tool (SWAT) was calibrated using the Sequential Uncertainty Fitting – Version 2 (SUFI-2) algorithm to improve the simulation results of the runoff. The Model for Interdisciplinary Research on Climate-Earth System Models (MIROC-ESM) was used to investigate the effects of climate change on hydro-climatic components under the representative concentration pathway scenarios (RCPs: 2.6, 4.5, 6.0, and 8.5) and in near- (2014–2042), mid- (2042–2071), and far- (2072–2100) futures. The temperature component under the RCP4.5 and RCP6.0 during the near- and mid-future intervals and the far-future period (for RCP6.0) indicated a significant rising trend. The rainfall parameter in all RCPs and future intervals showed an insignificant descending trend. Runoff alterations under the RCP4.5 amid the mid- to far-future intervals and under the RCP8.5 throughout the far-future period trailed a significant descending trend. The results determined that the temperature will track an upward tendency, while precipitation and runoff will follow a descending trend in this watershed by the end of the 21st century.

Climatic paleontology evidences that climate change has always been present throughout the history of the planet, but the climatic changes of the last century have two distinct features, as compared with past climatic changes. First, human activities play a greater role in the nature of the current climate change. Second, the speed of recent climatic change is greater so that a considerable number of changes will be occurring in the Earth's atmosphere over the short term (IPCC 2007). The average surface temperature of the Earth is increasing, which is mainly the result of greenhouse gas emissions (Sartori 2019). The recent scenarios of the Intergovernmental Panel on Climate Change (IPCC) show a global increase in temperature, i.e. 1.1 °C in the current century. In addition to the change in the average values of climate variables, the change in rainfall in relation to its past values will also be other outcomes, which means increasing the intensity of dry or wet conditions (IPCC 2007). Changes in the cloud and precipitation formation are the secondary aspects of climate change. These changes are not simply made due to an increase in greenhouse gas concentrations, and they occur in response to global warming (changes in the concentration of aerosols directly affect clouds and precipitation; however, this effect is most severe on temperature). Thus, in many areas, the greatest impact of climate change on hydrology is likely due not only to the relatively small changes in the turbulent behavior of clouds and precipitation but also to the direct effect of temperature rise on the hydrology cycle. In this case, the amount of evapotranspiration from the surface of the soil and plants will necessarily increase significantly, while the size of the snow grains will become smaller and thaw earlier in the warm season (Fung et al. 2011). The increase in evaporation will undoubtedly drastically reduce the availability of water and provide the basis for the occurrence and intensification of drought effects. Runoff is a component of the hydrology cycle that is influenced by many parameters. Certainly, increasing the temperature and decreasing snowfall in the mountainous basins along with the evaporation of the water bodies will also lead to a decrease in the volume of runoff and water reserves and an intensification of the hydrological drought phenomenon.

Nowadays, global warming has significant effects on precipitation and runoff yield and water resources due to the increased concentration of greenhouse gases (Zhang et al. 2017). Rainfall as a key factor in changing the frequency and range of hydrological cycle has serious consequences in social, economic, and agricultural developments (Zhang et al. 2017). The average of climatic variables, especially the components of temperature, precipitation, and runoff in the annual or seasonal scale, plays a predominant role in the hydrological cycle. The climate change is usually investigated through the assessment of the average of these parameters, as well (Afshar et al. 2017). Abnormalities of temperature and precipitation have substantial impacts on the agricultural industry and the rapid development of the country. Population growth, urbanization, and rapid economic development impose massive challenges on the available water resources of Iran, now and especially in the future (Madani et al. 2016; Afshar et al. 2017).

At present, general circulation models (GCMs) are the most frequently used models for the projection of different climatic change scenarios (IPCC 2007; Afshar et al. 2017). The IPCC collects and reviews global climate models as the assessment reports (ARs) of climate change. Up to now, the IPCC has released five different versions of GCMs, including First Assessment Report (FAR) models, Second Assessment Report (SAR) models, Third Assessment Report (TAR) models, Fourth Assessment Report (AR4) models, and Fifth Assessment Report (AR5) models. The IPCC AR5 has introduced a new way in the development of the scenarios. These scenarios span the range of plausible radiative forcing scenarios and are called representative concentration pathways (RCPs), whereas AR4 uses scenarios from the IPCC Special Report on Emission Scenarios (SERS). The RCPs span a wider range of possibilities than the SRES marker scenarios used in the modeling for the IPCC AR3 and AR4. In contrast to SRES, some of the RCPs also include mitigation and adaptation policies (IPCC 2013).

A number of studies have been done to investigate the impact of climate change on the hydrological components of watersheds in Iran based on the IPCC's Fourth Assessment Report models (AR4) (Vaghefi et al. 2015; Eslamian et al. 2017). These models together with older emission scenarios (SRES) have less resolution, in comparison with the Fifth Assessment Report (AR5) models. Thus, climate change studies with higher resolution climate models under the new emission scenarios (RCPs) of the AR5 seem necessary in the watersheds of Iran. In a recent study by Afshar et al. (2017), the annual climatic components of the Kashafrood basin in Iran were assessed in the historical and future periods by using the AR5 models (Afshar et al. 2017). According to the results, the precipitation component showed a significant decreasing change trend, and the average temperature also indicated a remarkable increase with a confidence level of 90, 99, and 99.9%. On the basis of the obtained results, the average temperature of the basin will increase from 0.56 to 3.3 °C, and precipitation will decrease about 10.7% by the end of the 21st century.

The study watershed in this research (Zoshk-Abardeh) is one of the important sources of income for the regional villagers and has a high ecotourism potential in Khorasan Razavi Province, Iran. It is considered as an urban watershed and according to the historical evidence has a high flood potential, as well. Thus, this study aims to assess the impact of climate change on the most important hydroclimatological factors (rainfall, temperature, and runoff) affecting on the ecotourism potential of the watershed.

Study area and data set

The Zoshk-Abardeh Watershed as a sub-watershed of the Kashafrood basin, with an area of 9,225.9 ha, is located in the west of Mashhad in Khorasan Razavi Province, Iran (Figure 1). The average slope of the basin is 52.46%, its average altitude is 2,235 m above sea level, and the length of the basin is 21.53 km. The average annual precipitation of the Zoshk-Abardeh watershed is 400 mm. The maximum monthly precipitation is 71 and 65 mm in April and May, and each of these months has about 18 and 16% of the total annual rainfall, respectively. June, August, and September are the driest months of the year. This basin has the average, minimum, and maximum annual temperatures of 8.7, 2.8, and 14.2 °C, respectively. In this study, daily observational data for the Zoshk Station were obtained from the Khorasan Razavi Meteorological Organization and the Khorasan Razavi Regional Water Authority (KRRWA). Land use, topography, and soil classification maps were obtained from the Watershed Management and Natural Resources Organization (WMNRO) and the National Cartographic Center (NCC). The Zoshk hydrometric and rain gauge station was established by the KRRWA in 1978, and it is already under the control of the KRRWA. This station is a flood alarming station, which is recently equipped with several instruments such as limnograph, data logger, teleferic bridge, and real-time data transmitters. A list of data sets used in this work and their sources are provided in Table 1.

Table 1

Detailed information on the employed data set

Data typeDescriptionResolution/scaleSource
Land use map The crop database and landcover map produced using the Landsat imagery, dated 2013 30 × 30 WMNRO 
Topography Digital Elevation Model and topographic maps 30 × 30 National Cartographic Center (NCC) and WMNRO 
Soil map The FAO soil database and land units map 1:50,000 NCC and WMNRO 
Meteorological data The daily precipitation, maximum and minimum temperature, relative humidity, and wind speed Daily (mm) Khorasan Razavi Meteorological Organization and Khorasan Razavi Regional Water Authority (KRRWA) 
Streamflow records River discharge Daily and monthly mean (m3/s) KRRWA 
Data typeDescriptionResolution/scaleSource
Land use map The crop database and landcover map produced using the Landsat imagery, dated 2013 30 × 30 WMNRO 
Topography Digital Elevation Model and topographic maps 30 × 30 National Cartographic Center (NCC) and WMNRO 
Soil map The FAO soil database and land units map 1:50,000 NCC and WMNRO 
Meteorological data The daily precipitation, maximum and minimum temperature, relative humidity, and wind speed Daily (mm) Khorasan Razavi Meteorological Organization and Khorasan Razavi Regional Water Authority (KRRWA) 
Streamflow records River discharge Daily and monthly mean (m3/s) KRRWA 
Figure 1

Geographic location of the study area.

Figure 1

Geographic location of the study area.

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Soil and Water Assessment Tool-based hydrological simulation

In recent years, various models have been used to simulate water-related processes, as computer systems evolve and their simulations grow (Arnold et al. 1998; Besharat et al. 2015; Afshar & Hassanzadeh 2017; Dadfar et al. 2019). Among them, the Soil and Water Assessment Tool (SWAT), a semi-distributed conceptual model for watersheds, was developed by the United States Department of Agriculture–Agricultural Research Services (USDA–ARS) for assessing and forecasting the impact of different management scenarios on water quality, groundwater resources, soil erosion, and pollution loading (Arnold et al. 1998). Each sub-basin in the model is sub-divided into the Hydrological Response Units (HRUs), which are homogeneous units in terms of soil parameters, land use, and slope (Memarian et al. 2014; Afshar et al. 2017). In this study, runoff volume was estimated using the Soil Conservation Service (SCS) method. The Manning equation was utilized to calculate flow velocity. The Muskingum approach was used in the routing phase, as well. The growth parameters in the SWAT crop database were updated, and the required information records were also added to the SWAT soil database.

It should be noted that one of the limitations in simulating the impacts of climate change using the SWAT model is the fact that this model cannot account for all the changes caused by climate change in the new water cycle. Thus, we have to ignore the effects of climate change on some components of the water cycle in the simulation process.

Calibration, validation, and uncertainty analysis of the SWAT model

In this work, the Sequential Uncertainty Fitting – Version 2 (SUFI-2) algorithm (Abbaspour et al. 2007) was employed to calibrate and analyze the sensitivity and uncertainty of the SWAT model. The SUFI-2 algorithm is a semi-automated procedure in the SWAT-Calibration and Uncertainty Program (SWAT-CUP), which is widely used for optimizing the parameters of the SWAT model (Abbaspour 2011). Several studies in different applications show that this approach is of high computational efficiency for satisfactory uncertainty prediction in comparison with the other methods within the SWAT-CUP (Abbaspour et al. 2007; Rostamian et al. 2008; Hassanzadeh et al. 2019). The range of uncertainty in the SUFI-2 algorithm can be narrowed down by identifying a range of parameters that reduce the total uncertainty of the output data. In order to find the optimal parameter uncertainties from prior ranges, the SUFI-2 combines calibration and uncertainty analysis with the minimum number of iterations and the smallest possible prediction uncertainty band (Abbaspour 2011). A set of parameter ranges is mapped for all sources of uncertainty (parameter, conceptual model, and forcing input). In the SWAT model, the parameters, uncertainties, and statistical analysis have to be computed through a proper likelihood function. In this study, Nash–Sutcliffe (NS) coefficient (Nash & Sutcliffe 1970) and coefficient of determination (R2), as the likelihood (objective) functions, were employed to calibrate the SUFI-2 algorithm (see equations below):
(1)
(2)
where N is the number of time steps, Qm and Qs are the observed and simulated stream flow at time step i, respectively, and and are the average observed and simulated stream flow over the simulation period, respectively.

The NS criterion is a common and valid coefficient in the calibration process of hydrologic models. Meanwhile, the NS is more reliable than other criteria and it can be applied to a different type of modeling context. This advantage indicates its flexibility as a goodness-of-fit statistic. On the other hand, NS efficiency can be used to quantitatively describe the accuracy of model outputs other than discharge. This indicator can be used to describe the predictive accuracy of other models as long as there is observed data to compare the model results to. For example, NS efficiency has been reported in the scientific literature for model simulations of discharge; water quality constituents such as sediment, nitrogen, and phosphorus loading. The evaluation of model prediction is very fine when the NS values are between 0.75 and 1, and it may be satisfactory if NS is greater than 0.36 (Moriasi et al. 2007). Moreover, the maximum value of R2 is 1; the higher values of this coefficient indicate a better performance of the model.

The uncertainty estimation band of 95% at the levels of 2.5 and 97.5% of the cumulative distribution function of the output variable is calculated using the Latin Hypercube sampling method (Abbaspour et al. 2015). The SUFI-2 follows a range of parameters so that most of the observational data is bracketed within the 95 percent prediction uncertainty (95PPU) (Memarian et al. 2014; Abbaspour et al. 2015). The degree of uncertainty is calculated by two factors called r-factor and P-factor. The P-factor is the percentage of observed records that is bracketed by the 95% uncertainty estimation band (95PPU), while the r-factor based on Equation (3) is the average thickness of the 95PPU band (between the upper and lower boundaries) divided by the standard deviation of observational data (Abbaspour 2011), as follows:
(3)
where N, YLower, YUpper, and σx are, respectively, the total number of the observed data, the lower and the upper limits of the 95PPU, and the standard deviation of the observed data. When 100% of the observed data is bracketed by the 95PPU, the maximum value of P-factor is 1. The lower value of the r-factor indicates a better performance of the model.
The sensitivity analysis was carried out by the SWAT-CUP tool to improve the understanding of the impact of sensitive parameters on runoff discharge. In SUFI-2, the parameter sensitivities are determined using a multiple regression approach that relates the Latin Hypercube-generated parameters to the objective function values using the below equation (Abbaspour 2011; Memarian et al. 2014):
(4)
where α and β are the intercept and the slope of the regression line, respectively; m defines the number of model runs, bi is the ith parameter, and g is the objective function.

The SUFI-2 algorithm for each of the input parameters of the SWAT model presents a t-stat value and then determines the critical parameters (Abbaspour et al. 2015). On the other hand, the significance of differences in multiple runs for the parameter bi is examined using the t-test. A t-test determines the relative significance of each parameter bi, and the t-statistic is a measure of sensitivity (larger absolute values indicate more sensitive parameters) (Abbaspour 2011). The t-stat absolute values of each parameter shows that the parameters with more t-stat have more relative sensitivity. The algorithm also provides a p-value for each parameter in order to determine the relative significant sensitivity of them, which is closer to the zero number indicating a greater sensitivity of the parameter (Abbaspour et al. 2015). For validation, the calibrated parameter ranges without any further changes were used, and an iteration was run with the same number of simulations as utilized for calibration. The efficiency measures were computed during the validation process, as well.

Radiative forcing scenarios and AR5 models

In contrast to emission scenarios used in the AR4 models of the IPCC, the RCP is utilized in the AR5. New emission scenarios are based on the emission forcing level until 2100 (IPCC 2013). Radiative forcing (Watts per square meter; W/m²) is the extra heat at the lower atmosphere that will retain as a result of additional greenhouse gases. In order to investigate the future climate change, the Model for Interdisciplinary Research on Climate-Earth System Models (MIROC-ESM), which has been cooperatively developed by the University of Tokyo, National Institute for Environmental Studies (NIES), and the Japan Agency for Marine-Earth Science and Technology (JAMSTEC) (K-1 Model Developers 2004; Nozawa et al. 2007), was selected among the newest extracted models presented in the AR5. According to Afshar et al. (2017), this model showed the highest agreement with observational data (Figures 2 and 3) based on the evaluation criteria, i.e. NS efficiency coefficient, percent of bias (PBIAS), coefficient of determination (R2), and ratio of the root-mean-square-error to the standard deviation (RSR) (Afshar et al. 2017).

Figure 2

Historical vs. observed data for the precipitation component.

Figure 2

Historical vs. observed data for the precipitation component.

Close modal
Figure 3

Historical vs. observed data for the mean temperature component.

Figure 3

Historical vs. observed data for the mean temperature component.

Close modal

This model consists of four emission forcing scenarios, namely RCP2.6, RCP4.5, RCP6.0, and RCP8.5 (Table 2). These RCPs were included one mitigation scenario leading to a very low forcing level (RCP2.6), two medium stabilization scenarios (RCP4.5 and RCP6.0), and one very high baseline emission scenarios (RCP8.5) (Van Vuuren et al. 2011). For example, in RCP2.6, which has the lowest emission, the total radiation forcing level will reach by a maximum of 3 W/m² in 2050, and then it follows a downward trend (Van Vuuren et al. 2007). The RCP4.5 and RCP6.0 scenarios would be a stable scenario with an increased total emission forcing level in 2070 and a constant concentration after 2070 (Clarke et al. 2007; Hijioka et al. 2008). Furthermore, the RCP8.5 scenario steadily increases emissions forcing by the end of the 21st century and is approximately equal to 8.5 W/m² (Riahi et al. 2007).

Table 2

Overview of the RCPs (Van Vuuren et al. 2011)

RCPsScenarios
2.6 Peak in radiative forcing at ∼3 W/m2 (∼490 ppm CO2 equivalent) before 2100 and then decline (the selected pathway declines to 2.6 W/m2 by 2100) 
4.5 Stabilization without the overshoot pathway to 4.5 W/m2 (∼650 ppm CO2 equivalent) at stabilization after 2100 
6.0 Stabilization without the overshoot pathway to 6 W/m2 (∼850 ppm CO2 equivalent) at stabilization after 2100 
8.5 Rising the radiative forcing pathway leading to 8.5 W/m2 (∼1370 ppm CO2 equivalent) by 2100 
RCPsScenarios
2.6 Peak in radiative forcing at ∼3 W/m2 (∼490 ppm CO2 equivalent) before 2100 and then decline (the selected pathway declines to 2.6 W/m2 by 2100) 
4.5 Stabilization without the overshoot pathway to 4.5 W/m2 (∼650 ppm CO2 equivalent) at stabilization after 2100 
6.0 Stabilization without the overshoot pathway to 6 W/m2 (∼850 ppm CO2 equivalent) at stabilization after 2100 
8.5 Rising the radiative forcing pathway leading to 8.5 W/m2 (∼1370 ppm CO2 equivalent) by 2100 

CO2: carbon dioxide; ppm: parts per million; W/m²: Watts per square meter.

The general atmospheric circulation models provide a good opportunity to predict future climate under different radiative forcing scenarios. These models have a relatively low resolution and are not suitable for the studies at the regional and local level. Therefore, the output of these models should be downscaled to be used on a regional scale (Sigdel & Ma 2016). The downscaling approaches are classified into dynamic and statistical techniques. In this study, a statistical downscaling model, i.e. Bias Correction and Spatial Disaggregation (BCSD), was used as the spatial disaggregation and bias correction method (Ahmed et al. 2013). The spatial disaggregation method is performed in three steps. In the first step, the correction of statistical deviation of rainfall and temperature components (resulted from climate change simulation) in the scale of the grid of GCMs is calculated in a monthly time step. In the second step, the spatial downscaling is carried out from the network scale of GCMs to the target network (local or regional). Then, in the third stage, the outputs are disaggregated from a monthly time step to a daily time step (Afshar et al. 2017). The historical data of four stations in the vicinity of each of the reference stations (observational stations) were extracted using ArcGIS with the intervals of 0.5° (the format of the climatic data is Network Common Data Form (NetCDF)). The historical data on the reference station were obtained having the information of four stations in the vicinity and using interpolation methods such as bilinear interpolation and inverse distance weight.

Downscaling using the BCSD method

Due to the low resolution of GCMs, their outputs are not suitable for the simulation of climate components at a specific location such as a meteorological station (Duan & Mei 2014). Concerning this issue, the downscaling process is performed to convert the climate data from the GCM grid points to the local points. In this work, the downscaling process was conducted using the BCSD approach. The applications of BCSD are connected to the estimation of the long-term hydrology parameters (Wood et al. 2002). Nowadays, a large number of investigators take advantage of BCSD in monthly climate studies (Payne et al. 2004; Abatzoglou & Brown 2012). This approach is carried out in three phases: the elementary step contains a bias correction and is evaluated at the monthly scale for the GCM grid points. Based on Equation (5), the bias correction of the precipitation divides the projected precipitation by the observed values as follows:
(5)
where and are, respectively, monthly temperature and precipitation of the GCMs output, and are, respectively, monthly observed temperature and precipitation, and and are, respectively, bias corrections for temperature and precipitation at the output points of the GCMs. At the second step, the bias correction is converted from low resolutions to higher resolutions by means of the linear interpolation method. At the final step (Equation (6)), the observed values are multiplied by the bias corrections, so that the monthly precipitation values projected by the GCMs are achieved for the local points (Wood et al. 2002; Afshar et al. 2017).
(6)

Time series analysis

The non-parametric Mann–Kendall (MK) test was used to analyze the gradual trend of rainfall, temperature, and runoff time series under the future climate change condition. The MK test was formulated as a non-parametric test for the trend recognition by Mann (1945) and as a statistical distribution test for the nonlinear trends and recognition of the turning points by Kendall (1975). The MK equation based on the S statistic is formulated using the following equation:
(7)
where Xi and Xj are sequential data values, n is the length of time series, and the sgn(XiXj) function was defined according to the following equation:
(8)
when n ≥ 8, the test statistic S is nearly normally distributed with the mean (E(S) = 0). The variance statistic is computed by the following equation:
(9)
where ti is the number of ties for sample i. The test statistics ZC is computed via the following equation:
(10)
where ZC follows a standard normal distribution. A positive (or negative) value of ZC indicates an upward (or downward) trend. A significance level of α is also employed for testing whether or not an upward or downward trend is uniform. If ZC appears greater than Zα/2, then the trend is considered as being significant (Memarian et al. 2012). The statistical significance of the trend was considered based on the 95% confidence level.

The SWAT (Arnold et al. 1998) was employed for hydrological simulation of the watershed based on the downscaled outputs (using the BCSD method) of climate change models for historical and future periods. The future projection was conducted in the near- (2006–2037), mid- (2037–2070), and far- (2070–2100) future periods related to historical records in the period of 1992–2005. The SWAT model was executed using the three years as the warm up period with the definition of 294 HRUs and the delineation of 12 sub-basins. Figure 4 depicts the modeling framework of the current study.

Figure 4

Modeling framework of the current study.

Figure 4

Modeling framework of the current study.

Close modal

SWAT sensitivity analysis

The SWAT-CUP (Abbaspour et al. 2007) was employed to run the SUFI-2 algorithm for SWAT calibration and sensitivity analysis. Seventeen parameters were chosen for SWAT sensitivity analysis using the 500 simulations of SUFI-2. Table 3 shows the t-stat and p-value for various parameters affecting the runoff volume. Comparing the obtained t-stat for each parameter shows that the parameters CN2, SOL_BD, and SOL_K have the highest relative sensitivity and CH_K2, SMFMX, and SOL_AWC parameters have the lowest relative sensitivity. The high sensitivity of SWAT to the alterations in parameters CN2, SOL_BD, and SOL_K was also reported by many research works such as Arnold et al. (1998) and Memarian et al. (2014).

Table 3

Results of sensitivity analysis accomplished by SUFI-2

ParameterParameter descriptionp-valuet-stat
CN2 Initial SCS runoff curve number for moisture condition II 26.12 
SOL_BD Moist bulk density (g/cm35.73 
SOL_K Soil saturated hydraulic conductivity for SCL texture (mm/h) 3.19 
SLSUBBSN Average slope length (m) 0.02 −2.42 
GW_DELAY Groundwater delay time (days) 0.04 −2.1 
CH_N2 Manning's n value for the main channel 0.05 1.95 
OV_N Manning's ‘n’ value for overland flow 0.1 1.65 
ALPHA_BF Baseflow alpha factor for bank storage (days) 0.16 1.41 
ESCO Soil evaporation compensation factor 0.2 −1.28 
SURLAG Surface runoff lag coefficient 0.31 −1.02 
TIMP Snow pack temperature lag factor 0.34 −0.95 
SFTMP Snow melt base temperature (°C) 0.35 0.94 
SMFMN Minimum melt factor (mmH2O/°C-day) 0.46 −0.74 
EPCO Plant uptake compensation factor 0.48 0.71 
SOL_AWC Soil available water capacity (mmH2O/mm soil) 0.84 −0.2 
SMFMX Maximum melt factor (mmH2O/°C-day) 0.93 0.09 
CH_K2 Effective hydraulic conductivity in main channel alluvium (mm/h) 0.99 −0.01 
ParameterParameter descriptionp-valuet-stat
CN2 Initial SCS runoff curve number for moisture condition II 26.12 
SOL_BD Moist bulk density (g/cm35.73 
SOL_K Soil saturated hydraulic conductivity for SCL texture (mm/h) 3.19 
SLSUBBSN Average slope length (m) 0.02 −2.42 
GW_DELAY Groundwater delay time (days) 0.04 −2.1 
CH_N2 Manning's n value for the main channel 0.05 1.95 
OV_N Manning's ‘n’ value for overland flow 0.1 1.65 
ALPHA_BF Baseflow alpha factor for bank storage (days) 0.16 1.41 
ESCO Soil evaporation compensation factor 0.2 −1.28 
SURLAG Surface runoff lag coefficient 0.31 −1.02 
TIMP Snow pack temperature lag factor 0.34 −0.95 
SFTMP Snow melt base temperature (°C) 0.35 0.94 
SMFMN Minimum melt factor (mmH2O/°C-day) 0.46 −0.74 
EPCO Plant uptake compensation factor 0.48 0.71 
SOL_AWC Soil available water capacity (mmH2O/mm soil) 0.84 −0.2 
SMFMX Maximum melt factor (mmH2O/°C-day) 0.93 0.09 
CH_K2 Effective hydraulic conductivity in main channel alluvium (mm/h) 0.99 −0.01 

SWAT calibration, validation, and uncertainty analysis

The calibration and validation steps were carried out in accordance with the data of the Zoshk hydrometric station on a monthly time step. The calibration was performed using water flow data in the period of 2000–2006, and the model was validated based on the water flow records during the period of 2007–2010. The calibration process was accomplished using the 3,000 simulations of the SUFI-2 algorithm on the sensitive parameters detected through the sensitivity analysis. Finally, the optimal values of these parameters were determined for the simulation of monthly runoff (Table 4).

Table 4

Sensitive parameters in runoff simulation and their fitted values after the calibration process

ParameterFitted valueMinimumMaximum
r__CN2 0.602 −0.2 0.7 
v__ALPHA_BF 0.284 
v__GW_DELAY 181.25 500 
v__ESCO 0.775 0.01 
r__SOL_K 0.334 −0.5 0.5 
r__SOL_BD −0.158 −0.5 0.5 
r__SLSUBBSN 0.078 −0.5 0.5 
r__OV_N 0.011 −0.5 0.5 
v__SURLAG 18.515 24 
r__CH_N2 0.396 −0.5 0.5 
ParameterFitted valueMinimumMaximum
r__CN2 0.602 −0.2 0.7 
v__ALPHA_BF 0.284 
v__GW_DELAY 181.25 500 
v__ESCO 0.775 0.01 
r__SOL_K 0.334 −0.5 0.5 
r__SOL_BD −0.158 −0.5 0.5 
r__SLSUBBSN 0.078 −0.5 0.5 
r__OV_N 0.011 −0.5 0.5 
v__SURLAG 18.515 24 
r__CH_N2 0.396 −0.5 0.5 

v__means that the existing parameter value is to be replaced by a given value, for parameters with single values.

r__means that the existing parameter value is multiplied by {1 + (a given value)}, for parameters with different values in different HRUs, soil series, or cover types.

The model performance was evaluated using R2 and NS coefficients between observed and simulated records. Based on the results, the coefficients R2 and NS were estimated to be 0.52 and 0.47 for runoff simulation in the calibration stage and 0.46 and 0.42 in the validation stage, respectively (Table 5). Given that the amounts of NS are between 0.36 and 0.75 (Moriasi et al. 2007), the results of the model are acceptable, but the model performance is not significantly high, in general. A comprehensive literature review shows that the lack of water diversion data for agricultural and human consumption (as well as wastewater discharge), lack of irrigation use, agricultural management and crop planting data within the watershed, lack of complete understanding of surface and groundwater interactions, and lack of the knowledge on construction projects have a large negative impact on the efficiency of hydrological models (Kouchi et al. 2017).

Table 5

Goodness-of-fit statistics and uncertainty metrics during the calibration and validation process

Evaluation criteriaCalibration stageValidation stage
R2 0.52 0.46 
NS 0.47 0.42 
p-factor 0.65 0.60 
r-factor 0.54 0.60 
Evaluation criteriaCalibration stageValidation stage
R2 0.52 0.46 
NS 0.47 0.42 
p-factor 0.65 0.60 
r-factor 0.54 0.60 

The hydrograph of monthly observed and simulated flow rates during calibration and validation periods, which is shown in Figure 5, has been used in order to evaluate the efficiency of the model in the base and peak discharge simulation and to investigate their time harmonization to actual data, as well. The analysis of this hydrograph shows that the model has estimated the amount of peak discharge less than the actual amounts, which is confirmed by the average monthly simulated discharge during calibration and validation periods. The average monthly simulated discharge during calibration and validation periods is 0.33 and 0.38 m3/s, respectively, while the observed data in these two periods are 0.45 and 0.50 m3/s, respectively. The degree of uncertainty was calculated by two factors called r-factor and P-factor. As shown in Figure 6, the results showed that more than 50% of the observational data in both calibration and validation phases are bracketed by the 95PPU uncertainty estimation band and the r-factor fluctuates around 0.5, which indicates a rather acceptable degree of certainty in simulation (Abbaspour 2011; Ozdemir et al. 2017). It should be noted that if the results are of high quality, then 80–100% of the data should be bracketed by the 95PPU (P-factor), while low quality results may contain many outliers, and it may be sufficient to account for only 50% of the data in the 95PPU (Abbaspour et al. 2007). Some reasons that cause low uncertainty can be rooted in the development and human activities (human activities including water withdrawal for aquaculture and gardening activities, wastewater entry into the river, and partial narrowing of the river bed due to the occupation of stream bank) in the catchment area.

Figure 5

Observed vs. simulated stream flow at the gauging station in a monthly time step.

Figure 5

Observed vs. simulated stream flow at the gauging station in a monthly time step.

Close modal
Figure 6

Observed points overlaid on the 95PPU band.

Figure 6

Observed points overlaid on the 95PPU band.

Close modal

The reason for the marginal performance of the model can be related to the following. (1) There is an error in the observational statistics of the hydrometric station and rain gauge, which is confirmed by the experts in the regional organization of water authority. (2) The amount of water extracted from the river by the orchards and upstream wells of the basin is not available. (3) There are also a number of valleys and contact springs in the ridge of the basin, with no accurate statistical data on the discharge of those springs in different seasons, and there is only one estimated discharge of them. The performance of the SWAT model and SUFI-2 algorithm have been evaluated in several watersheds in semi-arid regions of Iran. For example, Shafiei et al. (2013) evaluated their performance in hydrological simulation at one of the closest basins (Neyshabour Basin) to the study area (Shafiei et al. 2013). In this study, Hussein Abad and Andarab hydrometric stations were used in the calibration process. The results showed that the R2 and NS coefficients at the calibration stage for the Hussein Abad station were 0.74 and 0.65, and for the Andarab station were 0.31 and 0.11, respectively. During the validation process, the R2 and NS coefficients showed a significant change. Those were 0.42 and −0.82 for the Hussein Abad station, and 0.06 and −1.7 for the Andarab station, respectively. The P-factor and r-factor at the calibration phase were 67% and 1.41 for the Hussein Abad, and 23% and 0.25 for the Andarab station, respectively. During the validation process, the P-factor and r-factor for the Hussein Abad station were 53% and 2.8, and for the Andarab station were 3% and 0.38, respectively. Results confirmed that the model was not able to correctly simulate low flows. This problem was explained by the simplifications of the conceptual model and the complex interaction between runoff and subsurface flow in low rainfall events. The same approach was used to simulate the daily stream flow for the Roodan watershed (as a semi-arid basin) located in the southern part of Iran (Jajarmizadeh et al. 2012). For calibration, the values of NS and R2 were reported at 0.66 and 0.68, respectively, and for validation, the values were 0.51 and 0.55. They reported that the performance of modeling was acceptable, but the SWAT model tended to underestimate the simulation of high stream flow for both calibration and validation periods. This issue was attributed to the application of the plant evapotranspiration method that imposes an overestimation of runoff for high flows and leads to better simulation of perennial flows. Moreover, they confirmed that the precipitation duration and intensity were not being considered by the SCS method for the simulation of stream flow in the SWAT model. This limitation is more profound for the watersheds that are located in arid and semi-arid area. The application of the SWAT model for estimating runoff in two mountainous semi-arid basins in central Iran was evaluated by Rostamian et al. (2008). Model calibration and uncertainty analysis were performed with the SUFI-2 algorithm. The measures P-factor and r-factor indicated a relatively acceptable model calibration and accounting of the uncertainties. The weakness of the model to simulate runoff for some months was probably due to the poor characterization of snowmelt processes in these mountainous watersheds, lack of sufficient discharge data, and lack of input data for the simulation of groundwater recharge and groundwater–river interaction. Based on the above literature review, it can be revealed that the SWAT model in many watersheds of arid and semi-arid regions of Iran due to different causes (most of them are reliable in this study and more than ever the lack of highly accurate data) cannot establish an enormous performance in a hydrological simulation of the basin. However, its acceptable robustness could be a suitable ground for its applications in other studies such as climate change.

Climate change simulation results and trend analysis

The parameters of temperature and precipitation were downscaled using the BCSD method for RCP2.6, RCP4.5, RCP6.0, and RCP8.5 emission scenarios, and for the three time periods, i.e. near- (2014–2042), mid- (2043–2071), and far- (2072–2100) futures. The MIROC-ESM model was chosen among the latest extracted models from the AR5. Regarding the precipitation data as an important parameter in investigating the climate change, this model showed the highest compliance with observational rainfall data, based on the evaluation metrics such as NS (NS = 0.95), percent of bias (PBIAS = −2.88), coefficient of determination (R2 = 0.97), and the ratio of root-mean-square-error to the standard deviation of the measured records (RSR = 0.33) (Afshar et al. 2017). The outputs of the downscaled MIROC-ESM model (rainfall and minimum and maximum temperature components in future periods) were initially fed into the validated SWAT model, and the predicted runoff for future intervals were extracted.

The annual trend analysis of the AR5 model outputs under four RCPs is presented in the Table 6 within the three future periods for hydro-climatic variables. Utilizing the MK test, it can be established that the alterations in rainfall records are decreasing in all RCPs, but their trend is not statistically significant at the confidence level of 95%. According to Table 6, mean temperature variations follow a significant trend in some intervals under different scenarios. In the near- and mid-future periods, there are increasing changes under the RCP2.6 scenario, but the trends are not statistically significant at the 5% level. In the far-future, a significant increasing trend is observed under the RCP2.6 scenario, meanwhile in far-future under the RCP4.5 scenario, there are increasing changes, but the trends are not statistically significant at the level of 5%. In the mid- and far-future periods under the RCP6.0 scenario, a significant increasing trend has been observed. Finally, in the mid-future, under the RCP8.5 scenario, there is a significant increasing trend. However, the increasing changes in the near- and far-future periods are not statistically significant at the confidence level of 95%. The analysis of the annual trend of variables indicates that the amount of precipitation will decrease in this watershed during the future periods by the end of the 21st century. The most decreasing alterations in the rainfall and the highest increase in the temperature are achieved under the highest concentration of greenhouse gases, i.e. RCP8.5. Moreover, in the near-, mid-, and far-futures, the runoff changes are decreasing under the RCP2.6 scenario, but the trend is not statistically significant at the level of 5%. In the mid- and far-future periods under the RCP4.5 scenario, there is a statistical significant decreasing trend in runoff volume; however, the decreasing variation in the near-future is not significant at the confidence level of 95%. In the near-, mid-, and far-futures under the RCP6.0, runoff variations are declining, but the trend is not statistically significant. In the far-future period, under the RCP8.5, there is a significant decreasing trend; however, in the near- and mid-futures, runoff declining changes is not statistically significant at the 5% level. Reduced rainfall and also increased temperature in the watershed will reduce the rate of runoff in the future periods in such a way that the security of the inhabitants of the region will be severely affected. The results of the studies by Afshar et al. (2017) and Gebre & Ludwig (2015) also support and confirm these findings (Gebre & Ludwig 2015; Afshar et al. 2017).

Table 6

Trend analysis of hydro-climatic parameters under the four RCPs

ParametersPeriodsValues of the MK test
RCPs
2.64.56.08.5
Rainfall Near-future −0.043 ↓ −0.034 ↓ −0.025 ↓ −0.052 ↓ 
Mid-future −0.009 ↓ −0.049 ↓ −0.032 ↓ −0.035 ↓ 
Far-future −0.044 ↓ −0.061 ↓ −0.003 ↓ −0.040 ↓ 
Temperature Near-future 0.027 ↑ 0.033a ↑ 0.009 ↑ 0.022 ↑ 
Mid-future 0.015 ↑ 0.022a ↑ 0.034a ↑ 0.063a ↑ 
Far-future 0.035a ↑ 0.017 ↑ 0.075a ↑ 0.091 ↑ 
Runoff Near-future −0.041 ↓ −0.038 ↓ −0.021 ↓ −0.066 ↓ 
Mid-future −0.012 ↓ −0.082a ↓ −0.050 ↓ −0.063 ↓ 
Far-future −0.057 ↓ −0.089a ↓ −0.006 ↓ −0.058a ↓ 
ParametersPeriodsValues of the MK test
RCPs
2.64.56.08.5
Rainfall Near-future −0.043 ↓ −0.034 ↓ −0.025 ↓ −0.052 ↓ 
Mid-future −0.009 ↓ −0.049 ↓ −0.032 ↓ −0.035 ↓ 
Far-future −0.044 ↓ −0.061 ↓ −0.003 ↓ −0.040 ↓ 
Temperature Near-future 0.027 ↑ 0.033a ↑ 0.009 ↑ 0.022 ↑ 
Mid-future 0.015 ↑ 0.022a ↑ 0.034a ↑ 0.063a ↑ 
Far-future 0.035a ↑ 0.017 ↑ 0.075a ↑ 0.091 ↑ 
Runoff Near-future −0.041 ↓ −0.038 ↓ −0.021 ↓ −0.066 ↓ 
Mid-future −0.012 ↓ −0.082a ↓ −0.050 ↓ −0.063 ↓ 
Far-future −0.057 ↓ −0.089a ↓ −0.006 ↓ −0.058a ↓ 

aThe significance of the trend at 5%; ↑ increasing trend; ↓ decreasing trend.

The performance evaluation of the SWAT model for runoff simulation was done using the R2 and NS metrics. The R2 and NS coefficients during the calibration step were estimated to be 0.52 and 0.47, respectively, while these measures during the validation process were 0.46 and 0.42, respectively. Results showed that the SWAT performance for the simulation of monthly runoff in the Zoshk-Abardeh watershed was not satisfactory, but it was in an acceptable range. Then, the SWAT model was employed to simulate runoff volume based on the downscaled rainfall and temperature values of the validated MIROC-ESM model. The outputs of this AR5 model demonstrated the highest agreement (with the R2, NS, PBIAS, and RSR of 0.97, 0.95, −2.88, and 0.33 for rainfall, respectively) with observed historical records. The BCSD downscaling approach was used to extract rainfall and temperature values. The climate change simulation indicated a decreasing trend for precipitation variations in all future periods, but this trend was not statistically significant at the 5% level. The temperature variable in all RCPs had an increasing trend. The minimum alterations of temperature were obtained under the RCP2.6 scenario during the near- and far-future periods. However, temperature trend analysis under the RCP4.5 scenario during the near- and mid-futures and under the RCP6.0 scenario during the near-, mid-, and far-futures showed a significant upward trend at the 95% of confidence level. Runoff variations (simulated by the SWAT model) under the RCP4.5 scenario during the mid- to far-future and under the RCP8.5 scenario during the far-future period followed a significant downward trend. Runoff volume during the near-future period under the RCP4.5 scenario and throughout the near- to mid-future under the RCP8.5 scenario had declining variations, but its trend was not statistically significant at the 5% level. In general, these results indicated that the amount of temperature would follow an increasing tendency, while precipitation and runoff volume would follow a decreasing movement in the Zoshk-Abardeh watershed by the end of the 21st century. The increasing drift of temperature, and in particular the minimum temperature, can affect the evapotranspiration rates as well as future snowfall in the region. Thus, the amount of runoff will be impacted and decreased. Consequently, these hydro-climatic changes will impact the watershed biodiversity. Finally, the investigation of climate change impacts on groundwater, land use, and land cover condition can be suggested for further researches in the Zoshk-Abardeh watershed, as well.

The authors acknowledge the Regional Water Authority of Khorasan Razavi province for supplying necessary hydro-climatic data.

All authors declare no conflict of interest.

Abatzoglou
J. T.
Brown
T. J.
2012
A comparison of statistical downscaling methods suited for wildfire applications
.
International Journal of Climatology
32
(
5
),
772
780
.
Abbaspour
K. C.
2011
SWAT-CUP4: SWAT Calibration and Uncertainty Programs—A User Manual
.
Swiss Federal Institute of Aquatic Science and Technology, Eawag
,
Düebendorf
,
Switzerland
, p.
106
.
Abbaspour
K. C.
Yang
J.
Maximov
I.
Siber
R.
Bogner
K.
Mieleitner
J.
Zobrist
J.
Srinivasan
R.
2007
Modelling hydrology and water quality in the pre-alpine/alpine Thur watershed using SWAT
.
Journal of Hydrology
333
(
2–4
),
413
430
.
Abbaspour
K. C.
Rouholahnejad
E.
Vaghefi
S. R.
Srinivasan
R.
Yang
H.
Kløve
B.
2015
A continental-scale hydrology and water quality model for Europe: calibration and uncertainty of a high-resolution large-scale SWAT model
.
Journal of Hydrology
524
,
733
752
.
Afshar
A. A.
Hassanzadeh
Y.
2017
Determination of monthly hydrological erosion severity and runoff in Torogh Dam watershed basin using SWAT and WEPP models
.
Iranian Journal of Science and Technology, Transactions of Civil Engineering
41
(
2
),
221
228
.
Afshar
A. A.
Hasanzadeh
Y.
Besalatpour
A. A.
Pourreza-Bilondi
M.
2017
Climate change forecasting in a mountainous data scarce watershed using CMIP5 models under representative concentration pathways
.
Theoretical and Applied Climatology
129
(
1–2
),
683
699
.
Ahmed
K. F.
Wang
G.
Silander
J.
Wilson
A. M.
Allen
J. M.
Horton
R.
Anyah
R.
2013
Statistical downscaling and bias correction of climate model outputs for climate change impact assessment in the US northeast
.
Global and Planetary Change
100
,
320
332
.
Arnold
J. G.
Srinivasan
R.
Muttiah
R. S.
Williams
J. R.
1998
Large area hydrologic modeling and assessment part I: model development 1
.
JAWRA Journal of the American Water Resources Association
34
(
1
),
73
89
.
Besharat
M.
Tarinejad
R.
Ramos
H. M.
2015
The effect of water hammer on a confined air pocket towards flow energy storage system
.
Journal of Water Supply: Research and Technology – AQUA
65
(
2
),
116
126
.
Clarke
L.
Edmonds
J.
Jacoby
H.
Pitcher
H.
Reilly
J.
Richels
R.
2007
Scenarios of Greenhouse Gas Emissions and Atmospheric Concentrations
.
Department of Energy, Office of Biological & Environmental Research
,
Washington, DC
,
USA
, p.
154
.
Dadfar
A.
Besharat
M.
Ramos
H. M.
2019
Storage ponds application for flood control, hydropower generation and water supply
.
International Review of Civil Engineering (IRECE)
10
(
4
),
219
226
.
Eslamian
S.
Safavi
H. R.
Gohari
A.
Sajjadi
M.
Raghibi
V.
Zareian
M. J.
2017
Climate change impacts on some hydrological variables in the Zayandeh-Rud River Basin, Iran
. In:
Reviving the Dying Giant
(S. Mohajeri & L. Horlemann, eds).
Springer
,
Cham
, pp.
201
217
.
Fung
C. F.
Lopez
A.
New
M.
2011
Modelling the Impact of Climate Change on Water Resources
.
John Wiley & Sons
,
Chichester, UK
.
Gebre
S. L.
Ludwig
F.
2015
Hydrological response to climate change of the upper blue Nile River Basin: based on IPCC fifth assessment report (AR5)
.
Journal of Climatology and Weather Forecasting
3
(
01
),
1
15
.
Hassanzadeh
Y.
Afshar
A. A.
Pourreza-Bilondi
M.
Memarian
H.
Besalatpour
A. A.
2019
Toward a combined Bayesian frameworks to quantify parameter uncertainty in a large mountainous catchment with high spatial variability
.
Environmental Monitoring and Assessment
191
(
1
),
23
.
Hijioka
Y.
Matsuoka
Y.
Nishimoto
H.
Masui
T.
Kainuma
M.
2008
Global GHG emission scenarios under GHG concentration stabilization targets
.
Journal of Global Environment Engineering
13
,
97
108
.
IPCC
2007
Chapter 4. Observations: Changes in snow, ice, and frozen ground
. In:
Climate Change 2007: the Physical Science Basis: Working Group I Contribution to the Fourth Assessment Report of the IPCC
(
Solomon
S.
Qin
D.
Manning
M.
Chen
Z.
Marquis
M.
Averyt
K. B.
Tignor
M.
Miller
H. L.
, eds).
Cambridge University Press
,
Cambridge
,
UK
, pp.
996
.
IPCC
2013
Chapter 1. Introduction
. In:
Climate change 2013: the physical science basis: contribution of working group I to the fifth assessment report of the intergovernmental panel on climate change
(
Stocker
T. F.
Qin
D.
Plattner
G. K.
Tignor
M.
Allen
S. K.
Boschung
J.
Allen
S. K.
Nauels
A.
Xia
Y.
Bex
V.
Midgley
B. M.
, eds).
Cambridge University Press
,
Cambridge
,
UK
, pp.
1535
.
Jajarmizadeh
M.
Harun
S.
Ghahraman
B.
Mokhtari
M. H.
2012
Modeling daily stream flow using plant evapotranspiration method
.
International Journal of Water Resources and Environmental Engineering
4
(
6
),
218
226
.
K-1 model developers
2004
K-1 Coupled GCM (MIROC) Description, K-1 Technical Report No.1
.
Center for Climate System Research (University of Tokyo), National Institute for Environmental Studies, and Frontier Research Center for Global Change
, p.
38
.
Available from: http://www.ccsr.u-tokyo.ac.jp/kyosei/hasumi/MIROC/tech-repo.pdf (accessed 30 September 2011)
.
Kendall
M. G.
1975
Rank Correlation Methods
, 4th edn.
Charles Griffin
,
London
,
UK
, p.
202
.
Kouchi
D. H.
Esmaili
K.
Faridhosseini
A.
Sanaeinejad
S. H.
Khalili
D.
Abbaspour
K. C.
2017
Sensitivity of calibrated parameters and water resource estimates on different objective functions and optimization algorithms
.
Water
9
(
6
),
384
.
Madani
K.
AghaKouchak
A.
Mirchi
A.
2016
Iran's socio-economic drought: challenges of a water-bankrupt nation
.
Iranian Studies
49
(
6
),
997
1016
.
Mann
H. B.
1945
Nonparametric test against trend
.
Econometrica: Journal of the Econometric Society
13
,
245
259
.
Memarian
H.
Balasundram
S. K.
Talib
J. B.
Sood
A. M.
Abbaspour
K. C.
2012
Trend analysis of water discharge and sediment load during the past three decades of development in the Langat basin, Malaysia
.
Hydrological Sciences Journal
57
(
6
),
1207
1222
.
Memarian
H.
Balasundram
S. K.
Abbaspour
K. C.
Talib
J. B.
Boon Sung
C. T.
Sood
A. M.
2014
SWAT-based hydrological modelling of tropical land-use scenarios
.
Hydrological Sciences Journal
59
(
10
),
1808
1829
.
Moriasi
D. N.
Arnold
J. G.
Van Liew
M. W.
Bingner
R. L.
Harmel
R. D.
Veith
T. L.
2007
Model evaluation guidelines for systematic quantification of accuracy in watershed simulations
.
Transactions of the ASABE
50
(
3
),
885
900
.
Nozawa
T.
Nagashima
T.
Ogura
T.
Yokohata
T.
Okada
N.
Shiogama
H.
2007
Climate change simulations with a coupled ocean-atmosphere GCM called the model for interdisciplinary research on climate: MIROC
.
CGER's Supercomputer Monograph Report
12
,
80
.
Ozdemir
A.
Leloglu
U. M.
Abbaspour
K. C.
2017
Hierarchical approach to hydrological model calibration
.
Environmental Earth Sciences
76
(
8
),
318
.
Payne
J. T.
Wood
A. W.
Hamlet
A. F.
Palmer
R. N.
Lettenmaier
D. P.
2004
Mitigating the effects of climate change on the water resources of the Columbia River basin
.
Climatic Change
62
(
1–3
),
233
256
.
Riahi
K.
Grübler
A.
Nakicenovic
N.
2007
Scenarios of long-term socio-economic and environmental development under climate stabilization
.
Technological Forecasting and Social Change
74
(
7
),
887
935
.
Rostamian
R.
Jaleh
A.
Afyuni
M.
Mousavi
S. F.
Heidarpour
M.
Jalalian
A.
Abbaspour
K. C.
2008
Application of a SWAT model for estimating runoff and sediment in two mountainous basins in central Iran
.
Hydrological Sciences Journal
53
(
5
),
977
988
.
Sartori
E.
2019
The Arctic ice melting confirms the new theory
.
Journal of Water and Climate Change
10
(
2
),
321
343
.
Shafiei
M.
Ansari
H.
Davari
K.
Ghahraman
B.
2013
Calibration and uncertainty analysis of a semi-distributed model in a semi-arid region, case study: Nishabour watershed
.
JWSS
17
(
64
),
137
149
.
Van Vuuren
D. P.
Den Elzen
M. G.
Lucas
P. L.
Eickhout
B.
Strengers
B. J.
Van Ruijven
B.
Wonink
S.
Van Houdt
R.
2007
Stabilizing greenhouse gas concentrations at low levels: an assessment of reduction strategies and costs
.
Climatic Change
81
(
2
),
119
159
.
Van Vuuren
D. P.
Edmonds
J.
Kainuma
M.
Riahi
K.
Thomson
A.
Hibbard
K.
Hurtt
G. C.
Kram
T.
Krey
V.
Lamarque
J. F.
Masui
T.
2011
The representative concentration pathways: an overview
.
Climatic Change
109
(
1–2
),
5
.
Wood
A. W.
Maurer
E. P.
Kumar
A.
Lettenmaier
D. P.
2002
Long-range experimental hydrologic forecasting for the eastern United States
.
Journal of Geophysical Research: Atmospheres
107
(
D20
),
4429
.
Zhang
R.
Shang
H.
Yu
S.
He
Q.
Yuan
Y.
Bolatov
K.
Mambetov
B. T.
2017
Tree-ring-based precipitation reconstruction in southern Kazakhstan, reveals drought variability since AD 1770
.
International Journal of Climatology
37
(
2
),
741
750
.
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