Climate change (CC) will increase the intensity of extreme phenomena such as drought and flood in arid and semi-arid regions. This will cause the water supply of these areas to become very difficult in times of crisis. This study identifies sub-basins with high flood potential in the baseline period (1982–2005) and the future period (2025–2048) in the Hablehroud basin, north-central Iran. It uses the soil and water assessment tool (SWAT) and 23 coupled model intercomparison project 5 (CMIP5) general circulation models (GCMs). It estimates the instantaneous peak flow (IPF) and uses a flood index (FI) to determine the contributions of each sub-basin to the floods. The rainfall of the basin will increase by 11.5% under representative concentration pathway (RCP) 4.5 and 12.6% under RCP 8.5. The minimum daily temperature (Tmin) of the basin will increase by 0.8 °C under RCP 4.5 and 1.1 °C under RCP 8.5 in the future period. In addition, the maximum daily temperature (Tmax) will rise by 1 °C under RCP 4.5 and 1.2 °C under RCP 8.5. Moreover, basin runoff will increase by 6.4% under RCP 4.5 and 11.6% under RCP 8.5. The results indicate that the central and southern sub-basins made the most significant contribution to floods in the baseline period, while the eastern sub-basins will make the most considerable contribution to future floods.

  • Using the SWAT model to simulate daily rainfall-runoff and determine instantaneous peak flow (IPF), and 23 CMIP5 GCMs to predict future climatic parameters.

  • Using a flood index (FI) to determine the contributions of each sub-basin to floods.

  • The integration of GCMs through the k-nearest neighbors (KNN) algorithm and evaluation of climate change (CC) and sub-basin contributions to floods.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Floods are serious natural disasters that can impose economic and social losses. Flood damage has increased in recent decades (Botzen et al. 2019). This indicates the increased frequency and intensity of floods (Adib et al. 2019). Climate change alters the average quantities of climatic variables, such as the temperature and rainfall in different regions (Khazaei et al. 2019). According to the Intergovernmental Panel on Climate Change (IPCC), extreme events such as intensive floods are growing fast. Heavy floods caused by CC have imposed numerous damage across the world in recent decades. These impacts have been larger in arid climates (Vaghefi et al. 2019). Therefore, it is necessary to identify and prioritize flood-prone regions in terms of flood control, planning, and the comprehensive management of basins (Saghafian et al. 2008). In other words, different parts of a basin have different effects on the flow during a flood. Some regions intensify instantaneous floods due to soil and hydrological conditions, and the flow significantly rises in such regions (Khazaei et al. 2012). The soil and water assessment tool (SWAT) has been used as a semi-distributed model for determination of CC effects on the value of runoff (Zolin & Rodrigues 2015). General circulation models (GCMs) can accurately simulate all the climatic processes at the global or continental scale (Adib et al. 2021a, 2021b). To prevent and control floods, it is necessary to evaluate their sources (i.e., sub-basins) so that proper managerial measures could be implemented (i.e., reducing impermeable regions, increasing permeability, and reviving land uses to minimize runoff) (Kundzewicz & Takeuchi 1999). Saghafian & Khosroshahi (2005) introduced the unit flood response method (UFRM) to identify flood-inducing regions. The regions with a high potential of inducing floods are identified so that modification can be implemented at hazardous levels. Details of other research on the subject of the current study are given below.

Almasi & Soltani (2017) studied CC effects on flood frequency (FF) in the Bazoft watershed, central Iran, using four CMIP3 GCMs in the baseline period of 1971–2000, the future period of 2020–2049, and the far future period of 2071–2100. They used the distributed WetSpa model and estimated the daily instantaneous peak flow (IPF) through the Sangal, Fill-Steiner, and Fuller methods. They concluded that the instantaneous peak flow would reduce in all future periods.

Maghsood et al. (2019) studied influences of CC on the FF and flood source areas in the Talar watershed using 20 GCMs based on scenarios representative concentration pathway (RCP) 2.6 and RCP 8.5. They applied SWAT and estimated the daily IPF by the Sangal, Fill-Steiner, Fuller, and slope-based methods. The instantaneous peak was concluded to increase in the future period.

Babaeian et al. (2021) introduced four different adaptation pathways to reduce the uncertainty of GCMs for the agricultural management of the Hablehroud basin. They applied five GCMs under RCP 4.5 and RCP 8.5. Furthermore, they integrated SWAT and adaptation pathways. It was found that changes in the cropping patterns induced the highest uncertainties.

Esmaeili-Gisavandani et al. (2021) employed five continuous rainfall-runoff models, including SWAT, IHACRES, HBV, SMA, and AWBM, for determination of runoff in the Hablehroud River. They showed that SWAT had the highest accuracy in the hydrological simulation of the Hablehroud basin.

Lotfirad et al. (2021) distinguished the impacts of CC on hydrological drought in the Hablehroud basin. They used 23 GCMs for climate projecting, the k-nearest neighbors (KNN) method for combining GCMs, and the IHACRES model for simulating the runoff. Their results indicate occurrence of short- and medium-term droughts in the Hablehroud basin in the future.

The purpose of this research is to estimate IPF in the future period. Lotfirad et al. (2021) focused on hydrological drought, while Esmaeili-Gisavandani et al. (2021) examined rainfall-runoff models and Babaeian et al. (2021) determined changes in cropping patterns and crop planting dates in the future period. Also, this study utilized a daily SWAT model instead of the monthly SWAT model that was used by previous studies.

Overall, studying the impact of CC on flood risk using an integrated climate-hydrological model is necessary. The objective of this study is to estimate IPFs in the Hablehroud basin and to determine the contribution of different sub-basins in the flooding of the basin under the influence of CC. The potential impacts of CC on FF patterns and flood source area in the Hablehroud basin were evaluated too. The novelties of this study include the integration of GCMs through the KNN algorithm and the assessment of CC effects and sub-basin contributions to floods. This study was conducted in four steps:

  • 1

    Hydrological modeling at the daily scale using SWAT;

  • 2

    Climatic simulation by integrating 23 CMIP5 GCMs in the baseline and future periods under scenarios RCP 4.5 and RCP 8.5 and statistical downscaling;

  • 3

    Estimating IPF in the baseline and future periods and comparing flood frequencies; and

  • 4

    Calculating the flood index (FI) for each sub-basin in the baseline and future periods.

Case study

The Hablehroud basin lies in the north of Iran, with an arid and semi-arid climate (Figure 1). The Hablehroud River basin suffers significant flood damage every year. These floods occur at time intervals in spring, summer, and autumn, with different sources and flows (Lotfirad et al. 2021). The Hablehroud River feeds the Garmsar Plain as one of the largest agricultural plains in Iran (Esmaeili-Gisavandani et al. 2021). Indiscriminate flooding of this river during planting and harvesting seasons causes more damage than other seasons (Babaeian et al. 2021). In the Hablehroud basin, the river length is 119.5 km and basin area is 3,261 km2, with average annual minimum/maximum daily temperatures (Tmin/Tmax), rainfall, and runoff of 6.4 °C, 14.8 °C, 2,356 mm, and 7.5 m3/s, respectively (Lotfirad et al. 2021).

Data analysis

This study used data of a number of climatic variables at the daily scale, including rainfall, Tmin, Tmax, wind speed, relative humidity, and sunshine hours, during 1982–2005. Rainfall and flow discharge data were prepared from the Iranian Ministry of Energy and other meteorological data such as temperature were obtained from the Iran Meteorological Organization (IMO).

Figure 1(b) shows the positions of the stations. The data of the digital elevation model (DEM) with a spatial resolution of 30 meters were downloaded from https://earthexplorer.usgs.gov. Landsat 7 images and seven TM sensors were used to prepare the land use map (Figure 2(a)). The satellite images were processed using ENVI V.5.3, and the land uses were classified into seven groups using the maximum likelihood algorithm, as shown in Table 1. The global soil map of the UN Food and Agriculture Organization (FAO) with a scale of 1:500,000 was employed (Figure 2(c)). Moreover, agricultural data, such as the crop types, planting harvesting dates, fertilization, irrigation rounds, and irrigation quantity and resource, were obtained from the Iran Ministry of Agriculture-Jahad.
Table 1

The attribute table for land use in the Hablehroud basin

Class NameArea (km2)PercentageType
URBN 3.27 0.10 Urban 
AGRL 40.94 1.26 Agricultural land-generic 
BARR 837.89 25.74 Barren 
GRAS 2,307.61 70.88 Grassland 
ORCD 28.31 0.87 Orchard 
FRST 37.82 1.16 Forest-mixed 
Class NameArea (km2)PercentageType
URBN 3.27 0.10 Urban 
AGRL 40.94 1.26 Agricultural land-generic 
BARR 837.89 25.74 Barren 
GRAS 2,307.61 70.88 Grassland 
ORCD 28.31 0.87 Orchard 
FRST 37.82 1.16 Forest-mixed 
Figure 1

Location of the Hablehroud basin.

Figure 1

Location of the Hablehroud basin.

Close modal
Figure 2

(a) Land use, (b) Slope and (c) Soil map of the Hablehroud basin.

Figure 2

(a) Land use, (b) Slope and (c) Soil map of the Hablehroud basin.

Close modal

Evaluation of Climate Change

Weighting the GCM outputs

This study employed 23 CMIP5 GCMs with a spatial resolution of 0.5°, as shown in Figure 3. The Tmin, Tmax, and rainfall data of the baseline period (1982–2005) and future period were used under scenarios RCP 4.5 and RCP 8.5 (http://gdo-dcp.ucllnl.org). GCM cells have different resolutions. Therefore, in this study, re-gridded GCM outputs with a spatial resolution of 0.5° was used. The Hablehroud basin is located in five 0.5° × 0.5° regions (Figure 1(a)). The GCM outputs of these regions were determined. Weighting refers to the contribution of each GCM in simulation of precipitation and temperature of each month, which was determined by the accuracy of output of that GCM in that month in the baseline period. Furthermore, this weight is used to project meteorological data in the future as well. For this purpose, the following procedure was applied for weighting the GCM outputs at each month.
Figure 3

Schematic of applied methodology in this study.

Figure 3

Schematic of applied methodology in this study.

Close modal
This study used Equations (1) and (2) to estimate the difference between the observational data and corresponding GCMs.
(1)
(2)
where and are the absolute error of GCMs for temperature and rainfall, respectively. and are the mean temperature and precipitation from 1982 to 2005. Indices B, m, G and O are the baseline period, the month, the GCM and observed data, respectively.
The study considered a future period of 2025–2048. The KNN algorithm was utilized to weight the outputs (Equations (3) and (4)). This algorithm is based on the differences in climatic variables between the observed and baseline periods (Moghadam et al. 2019). Then, each GCM weight was multiplied by the rainfall and temperature differences between the baseline and future periods (Equations (5) and (7)). Therefore, the temperature and rainfall variations in the future period are obtained. This method assigns a larger weight to a GCM (G in Equations (1) and (2)) with a higher consistency with the observational data.
(3)
(4)
and are the weights of model in month for precipitation and temperature, respectively.
(5)
(6)
(7)
(8)
where TCFG (°C) and PCFG (%) in Equations (6) and (8) are the difference between temperature and precipitation in the baseline and future periods, respectively. and are the monthly mean of temperature and rainfall for future period. and are changes of temperature and rainfall (Zareian et al. 2015).

Stochastic downscaling

The GCM outputs represented only the temperature and rainfall variations due to the large scale of the GCMs (Doulabian et al. 2021). Hence, weather generator downscaling techniques needed to be adopted to generate daily meteorological data. The base of GCM is semi-empirical distribution functions that could generate future dry and wet periods, and generated data were validated by the KS, t, and F tests (Semenov et al. 1998). For downscaling, this study used LARS-WG as a meteorological generator. After calculating the changes of temperature and precipitation between the future period and the base period (calculated by selected GCM by weighting method), the scenario file was imported into LARS-WG software, and meteorological data were generated.

In the other words, the Tmin, Tmax, and rainfall changes under scenarios RCP 4.5 and RCP 8.5 were introduced to the LARS-WG model, generating daily data based on the observational data of the five regions (Figure 1(a)) in the baseline (1982–2005) and future (2025–2048) periods. Another advantage of ensemble 23 GCMs is the improving quality of the generated meteorological data by the LARS-WG model. Different GCMs considered different climatic parameters in the ocean and atmosphere and they underestimate or overestimate meteorological phenomena such as temperature and precipitation. The ensemble of different GCMs by a weighting method and by introducing the Tmin, Tmax, and precipitation changes under scenarios RCP 4.5 and RCP 8.5 to the LARS-WG model fix a problem of the LARS-WG model (the LARS-WG model generates more ‘flatter data’ and the generated flood extremes may be smaller than the observed data). The results of this study demonstrate this matter (Figures 4, 6, 8 and 9).

SWAT model

The SWAT model is a semi-distributed and continuous hydrological model to simulate streamflow, sediments, and agricultural chemical yields (Srinivasan et al. 1998). The smallest spatial unit is the hydrologic response unit (HRU) and water balance components are determined separately for each HRU, then routed for each sub-basin and the entire basin (Gassman et al. 2007).

Execution of SWAT model

To initially configure the model, the Arc SWAT 2012 extension in ArcGIS V.10.3 was utilized. Digital elevation layers were applied, drawing the stream network and dividing the basin with a total area of 3,234 km2 into 17 sub-basins. The HRUs were created by superposing the land use maps and developing three slope classes (including 0–20% for flat surfaces, 20–40% for medium slope surfaces, and >40% for sloped surfaces). To reduce the number of HRUs, thresholds of 10% (use) and 5% (slope and soil) were applied (Figure 2). Moreover, crops were split into the dominant crops of the region (with codes), including agricultural crops (i.e., wheat, barley, alfalfa, and potato) and horticultural crops (i.e., apple, pistachio, and walnut). Agricultural data of the Hablehroud basin were prepared from the database of the Ministry of Agriculture Jihad. Irrigated wheat, barley, potatoes, apples, walnuts and pistachios are the main products of the Hablehroud basin. Information related to fertilizer rate, irrigation rate, planting, harvesting and irrigation efficiency was entered into the SWAT model from the sub-basin data module of the model. Groundwater is used for irrigate agricultural products in this basin, with an irrigation efficiency of 0.45.

A total of 498 HRUs were created. Then, the dimensions of the meteorological data, including rainfall and temperature, were introduced to the model, selecting the Hargreaves and Samani method (Equation (9)) in order to calculate the potential evapotranspiration (Hargreaves & Samani 1982).
(9)
where ETo is the reference evapotranspiration (mm/day), Ra is the extraterrestrial radiation (MJ/(m2·day), kRS is the radiation adjustment coefficient (kRS = 0.17) is used and Ta is the average daily air temperature (°C) (Hargreaves & Samani 1982).

To perform a more realistic simulation, agriculture management data were incorporated into the model. Finally, SWAT was executed at the daily scale for a 24-year period, with three years (1982–1984) considered for warming up the model. The period of calibration of the SWAT model is 1985–2001 and the period of validation is 2002–2005.

SWAT calibrating and evaluating

Calibrating and evaluating the SWAT model was accomplished by using the SWAT-CUP Premium software. SWAT-CUP Premium can perform calibration and validation through the SWAT Parameter Estimator (SPE) and PSO programs. The present study adopted the SPE algorithm to perform the sensitivity analysis of the parameters and calibrate and validate the SWAT. The runoff records of the Bonkuh hydrometric station were utilized for the calibration and validation of the SWAT model. A calibration period of 1985–2001 and a validation period of 2002–2005 were considered. At least 70% of the total time period should be selected for calibration and the rest for verification. Different states were evaluated (in these cases, the calibration time period was more than 70% of the time period) and the calibration time period with the highest performance criteria (NSE, R2, RMSE) was chosen as the best calibration time period.

The performance evaluation (accuracy testing) of the SWAT model was performed using the coefficient of determination (R2), Nash–Sutcliffe coefficient (NSE), ARILCI-factor, and PCI-factor. Larger R2 and NSE values (closer to 1) represent greater consistency between the simulation values and observational data (Nash & Sutcliffe 1970). The PCI-factor is the percentage of data restricted in the estimate uncertainty level of 95% (that is, the degree at which data are restricted at a level of 95%) and can vary up to 100%, at which the entire observed data are ideally restricted at 95%. The ARILCI-factor represents the strength of the model and is calculated based on the ratio between the 95% band thickness to the standard deviation of the observed data. The ARILCI-factor should be ideally close to 1 (<1).

Flood frequency and instantaneous peak flow estimation

An analysis of the FF and determining the return period are essential in the management of flood control projects (Silveira et al. 2000). FF analysis is typically performed based on the annual peak flow. Considering the characteristics of the Hablehroud basin, this study obtained the peak flow by the empirical Fuller (Fuller 1914), Sangal (Sangal 1983), Fill-Steiner (Chen et al. 2017), and slope-based (Chen et al. 2017) methods. These methods calculate IPF through daily flow data. The best IPF estimation method was selected by performance criteria, such as NSE, RMSE, and R2, in the baseline period (Moriasi et al. 2007; Farajpanah et al. 2020). FF was estimated for return periods of 2–200 years based on the SWAT simulations of runoff in the Hablehroud basin and sub-basins.

Flood index in sub-basins

To plan the control of floods, it is essential to identify sub-basins with a high potential of inducing floods. Determination of flood proneness of sub-basins is helpful in flood control (Saghafian & Khosroshahi 2005). Therefore, to rank the sub-basins and measure their contributions to the floods in the basin, FI was calculated:
(10)
where is the IPF difference between the sub-basins and the basin, while A is the sub-basin area (km2) (Saghafian et al. 2008).

Figure 3 illustrates the methods used in the current study to identify flood-prone sub-basins in the Hablehroud basin in the north of Iran.

CC based on GCM outputs

Tables A1 to A6 (Supplementary Material) illustrate the performance criteria to compare precipitation and temperature between outputs of 23 GCMs and the representative observational data. Therefore, uncertainty has not been analyzed separately in this study. The combination of GCMs reduces uncertainty in forecasting meteorological phenomena. The average annual Tmin was projected to rise by 0.78 °C under RCP 4.5 and 1.12 °C under RCP 8.5. Tmin rises in all the months of the future period; the largest rises in Tmin were found to be 1.41 °C under RCP 4.5 and 1.83 °C under RCP 8.5 occurring in November (Figure 4(a)). Mean annual Tmax was estimated to rise in the future period by 0.94 °C under RCP 4.5 and 1.21 °C under RCP 8.5. Tmax increases in all the months of the future period. However, the largest Tmax rise is 1.51 °C under RCP 4.5 and 1.74 °C under RCP 8.5 in September (Figure 4(b)). The annual rainfall of the future period was found to be 11.5% under RCP 4.5 and 12.6% under RCP 8.5 higher than that of the baseline period. Rainfall rises in some months and decreases in some others; the highest and lowest temperature variations were found to be 34.47% in November and −28.24% in August based on RCP 4.5. Furthermore, the highest and lowest temperature variations based on RCP 8.5 were calculated to be 73.94% in June and −19.06% in October (Figure 4(c)).
Figure 4

Monthly long-term average (a) Tmin (b) Tmax and (c) rainfall in baseline and future.

Figure 4

Monthly long-term average (a) Tmin (b) Tmax and (c) rainfall in baseline and future.

Close modal

By evaluating changes of Tmin, Tmax and rainfall in the future periods at different sub-basins, it is observed that the largest rises in Tmin and Tmax occurred to be 1.24 °C and 1.57 °C, respectively, in the south of the basin (sub-basin 1) under scenario RCP 4.5. According to the results, rainfall increased in the southeast (sub-basins 2, 4, and 5), while the west (sub-basins 1 and 3) experienced rainfall decreases.

SWAT calibration, validation, and sensitivity analysis

Sensitivity analysis, SWAT calibrating, and validating were performed using the SPE algorithm in SWAT-CUP Premium. The sensitivity analysis of a parameter at a given time was exploited to identify the parameters with significant effects on calibration and to reduce the number of parameters; 18 of the 32 parameters were selected for calibration. Then, the final, comprehensive sensitivity analysis was performed (Kumar & Sen 2020). Table 2 shows the parameters with the highest effects in descending order along with the optimal values of the parameters in calibration. As can be seen, effective channel hydraulic conductivity, curve number under medium basin moisture, deep aquifer percolation fraction, and groundwater delay between irrigation water exit from the soil profile and entrance to the shallow aquifer were found to have the highest effects on basin flow at the daily scale. This suggests that groundwater and surface water mutually influence each other. An increase in these two parameters increases IPF. The NSE coefficient, ARILCI-factor, and PCI-factor were obtained to be 0.64, 0.61, and 0.54 in calibration and 0.53, 1.29, and 0.74 in validation, as shown in Figure 5. The target of the SPE algorithm is to reduce uncertainty so that most of the observational data are in the 95PPU band, in which (according to Abbaspour 2015; Thavhana et al. 2018; Wiwoho et al. 2021) PCI-factor more than 0.5 and ARILCI-factor ≤1 is reported as a satisfactory value in the calibration process. Also, it should be noted that an ARILCI-factor >1 is also considered acceptable (Abbaspour et al. 2009). According to the PCI-factor value, 54% of observation data in the calibration phase and 74% in the validation phase are in the 95ppu band because this watershed is located in an area with high rainfall variability, which may also affect the runoff simulation results.
Table 2

Sensitivity of SWAT parameters

RankNameDescriptionMinMaxFittedt-statP-Value
v_CH_K2.rte Effective hydraulic conductivity in main channel alluvium 150 65.35 8.38 0.00 
r_CN2.mgt SCS runoff curve number −0.4 0.4 0.01 −6.13 0.00 
v_RCHRG_DP.gw Deep aquifer percolation fraction 0.69 5.54 0.00 
v_GW_DELAY.gw Groundwater delay (days) 200 158.14 5.24 0.00 
v_ALPHA_BF.gw Baseflow alpha factor (days) 0.36 −4.05 0.00 
v_SFTMP.bsn [OPTIMAL] Snowfall temperature −5 2.00 −2.51 0.01 
v_SLSUBBSN.hru Average slope length 10 150 28.18 2.08 0.03 
r_SOL_AWC.sol Available water capacity of the soil layer −0.5 0.5 −0.25 2.06 0.04 
v_MSK_CO2.bsn Calibration coefficient used to control impact of the storage time constant for low flow 10 0.29 1.99 0.04 
10 v_CH_N2.rte Manning's ‘n’ value for the main channel 0.3 0.04 −1.63 0.10 
11 v_SHALLST.gw Initial depth of water in the shallow aquifer (mm) 1,000 3,000 2,133 −1.21 0.22 
12 r_SOL_BD.sol Moist bulk density −0.4 0.4 0.12 −1.15 0.25 
13 r_SOL_K.sol Saturated hydraulic conductivity −0.8 0.8 1.10 −1.07 0.28 
14 v_OV_N.hru Manning's ‘n’ value for overland flow 0.8 0.47 1.03 0.30 
15 v_SMFMX.bsn Maximum melt rate for snow during year 10 5.11 −0.99 0.32 
16 v_MSK_CO1.bsn Calibration coefficient used to control impact of the storage time constant for normal flow 10 2.92 −0.89 0.37 
17 v_GW_REVAP.gw Groundwater ‘revap’ coefficient 0.02 0.2 0.14 0.86 0.38 
18 v_ESCO.hru Soil evaporation compensation factor 0.23 −0.73 0.46 
RankNameDescriptionMinMaxFittedt-statP-Value
v_CH_K2.rte Effective hydraulic conductivity in main channel alluvium 150 65.35 8.38 0.00 
r_CN2.mgt SCS runoff curve number −0.4 0.4 0.01 −6.13 0.00 
v_RCHRG_DP.gw Deep aquifer percolation fraction 0.69 5.54 0.00 
v_GW_DELAY.gw Groundwater delay (days) 200 158.14 5.24 0.00 
v_ALPHA_BF.gw Baseflow alpha factor (days) 0.36 −4.05 0.00 
v_SFTMP.bsn [OPTIMAL] Snowfall temperature −5 2.00 −2.51 0.01 
v_SLSUBBSN.hru Average slope length 10 150 28.18 2.08 0.03 
r_SOL_AWC.sol Available water capacity of the soil layer −0.5 0.5 −0.25 2.06 0.04 
v_MSK_CO2.bsn Calibration coefficient used to control impact of the storage time constant for low flow 10 0.29 1.99 0.04 
10 v_CH_N2.rte Manning's ‘n’ value for the main channel 0.3 0.04 −1.63 0.10 
11 v_SHALLST.gw Initial depth of water in the shallow aquifer (mm) 1,000 3,000 2,133 −1.21 0.22 
12 r_SOL_BD.sol Moist bulk density −0.4 0.4 0.12 −1.15 0.25 
13 r_SOL_K.sol Saturated hydraulic conductivity −0.8 0.8 1.10 −1.07 0.28 
14 v_OV_N.hru Manning's ‘n’ value for overland flow 0.8 0.47 1.03 0.30 
15 v_SMFMX.bsn Maximum melt rate for snow during year 10 5.11 −0.99 0.32 
16 v_MSK_CO1.bsn Calibration coefficient used to control impact of the storage time constant for normal flow 10 2.92 −0.89 0.37 
17 v_GW_REVAP.gw Groundwater ‘revap’ coefficient 0.02 0.2 0.14 0.86 0.38 
18 v_ESCO.hru Soil evaporation compensation factor 0.23 −0.73 0.46 

r and v are codes that determine the variations of the parameter; v indicates that the parameter should be set to a new value, while r suggests the multiplication of the parameter by the new value.

Figure 5

Comparison between observed and simulated streamflow. Please refer to the online version of this paper to see this figure in colour: http://dx.doi.org/10.2166/ws.2022.271.

Figure 5

Comparison between observed and simulated streamflow. Please refer to the online version of this paper to see this figure in colour: http://dx.doi.org/10.2166/ws.2022.271.

Close modal

According to Moriasi et al. (2007), SWAT has good performance in the simulation of flow in a basin and can be used to project runoff in the future period. Moreover, Esmaeili-Gisavandani et al. (2021) stated that the SWAT model with NSE = 0.75 had higher performance than other rainfall-runoff models in the Hablehroud basin. Therefore, to simulate flow in the future period of 2025–2048, the projected Tmin, Tmax, and rainfall based on scenarios RCP 4.5 and RCP 8.5 were introduced to the SWAT model.

Table 2 presents the sensitive analysis of the SWAT model parameters. Eighteen (18) parameters were ranked by sensitive analysis procedure. Table 2 shows 18 parameters in order of their effect on IPF. Parameters 1 to 6 have a very high effect on IPF (at a significance level of 99%, and P-value < 0.01), parameters 7 to 9 have a high effect on IPF (at a significance level of 95%, and P-value < 0.05) and parameter 10 has a relatively high effect on IPF at a significance level of 90%, and P-value < 0.1).

Figure 5 illustrates the comparison between observed and simulated daily flow discharge by the SWAT model. The quantitative values of NSE, ARILCI-factor, and PCI-factor show the high quality of the simulated daily flow discharge by the SWAT model. These values are unprecedented compared to the results obtained by previous studies. Figure 5 shows that the increasing and decreasing trends of the observed and simulated flow discharges are the same. Due to the large number of daily flow discharges, a number of simulated daily flow discharges are greater than observed daily flow discharges and a number of simulated values are less than observed values.

Estimation of IPF

To estimate the IPF in the Hablehroud basin, empirical methods, including the Fuller, Sangal, slope-based, and Fill-Steiner methods, were applied. According to Table 3, the Fill-Steiner method had acceptable performance in the estimation of the IPF consistent with the IPF recorded at the Bonkuh station. Therefore, the IPF of the future period was estimated by the Fill-Steiner method. Based on the Kolmogorov–Smirnov goodness of fit test module in EasyFit, the log-Pearson III distribution had the highest fitness with the IPF of the baseline period. Also, the least square error method illustrated that the log-Pearson III is the best empirical probability distribution for estimating the annual peak flow. Due to the high coefficient of skewness of the annual peak flow data, in most watersheds of the world the log-Pearson III governs probability distribution of IPF (Bobée 1975).

Table 3

Results of IPF estimation methods from daily discharge

IndexFullerSangalSlope-basedFill-Steiner
R2 0.52 0.46 0.48 0.65 
NSE 0.50 0.34 0.14 0.58 
RMSE (m3/s) 59.70 68.54 78.45 54.81 
IndexFullerSangalSlope-basedFill-Steiner
R2 0.52 0.46 0.48 0.65 
NSE 0.50 0.34 0.14 0.58 
RMSE (m3/s) 59.70 68.54 78.45 54.81 

As a result, floods with return periods of 2, 5, 10, 25, 50, 100, and 200 years were estimated for the baseline period and the future period based on RCP 4.5 and RCP 8.5. According to Figure 6, IPF was found to be larger in the future period than in the baseline period.
Figure 6

IPF in a return period of 2 to 200 years in the baseline and future periods at Bonkuh station.

Figure 6

IPF in a return period of 2 to 200 years in the baseline and future periods at Bonkuh station.

Close modal

Impacts of climate change on IPF

Figure 7 compares the spatial distributions of the average IPF between the baseline and future periods in the Hablehroud basin. In the baseline period, sub-basins 2, 6, 7, 9, 12, 14, 15, and 17 had the largest IPFs. It was found that sub-basins 4, 5, 8, 10, 9, 11, 12, 14, 15, 16, and 17 would undergo the highest variations under RCP 4.5 and RCP 8.5 in the future period. This can be attributed to the large area of bare land and poor-to-medium land cover in these sub-basins. As can be seen in Figure 8, the SWAT results suggested 6.4% and 11.6% rises in the average annual runoff under scenarios RCP 4.5 and RCP 8.5 in the future period (2025–2048) compared with baseline period. Also, the monthly runoff would increase in June, July, August and September under both scenarios RCP 4.5 and RCP 8.5 in the future period compared with baseline period (this result was obtained by Lotfirad et al. (2021) in this basin too). This is attributed to the higher temperatures in these months.
Figure 7

Average IPF in the baseline period and percentage changes in IPF in the future period compared to the base period, under two scenarios: RCP 4.5 and RCP 8.5.

Figure 7

Average IPF in the baseline period and percentage changes in IPF in the future period compared to the base period, under two scenarios: RCP 4.5 and RCP 8.5.

Close modal
Figure 8

Long-term monthly runoff of the Hablehroud basin in the baseline and future periods.

Figure 8

Long-term monthly runoff of the Hablehroud basin in the baseline and future periods.

Close modal

Figure 8 shows that monthly runoff will increase in June, July, August AND September. In these months, temperature will increase while changes of rainfall is negligible in the future periods (Figure 4). An increase in temperature causes drying of the soil and reduction of vegetation. This matter will reduce soil permeability and will increase IPF. In recent years (2001, 2002, 2012, 2014, 2015, 2017, 2018 and 2019), summer rains have caused large and destructive floods in the north of Iran. IPFs and the number of these floods are increasing and this fact will increase monthly runoff of the Hablehroud basin in summer.

Impacts of climate change on flood index in sub-basins

Figure 9 plots the FI of the sub-basins for return periods of 2 and 200 years. Sub-basins are ranked based on their contributions to the IPF. According to Figure 9, sub-basins 9, 7, and 8 at the centre of the basin represent very high, high, and medium ranks in the baseline period respectively. These sub-basins have the largest effects on the IPF. At a return period of 2 years, sub-basin 9 had the largest IPF in the baseline period. Therefore, its upstream sub-basins (i.e., sub-basins 7 and 8) have higher contributions to the floods in the basin. In addition, at the return periods of 2 and 200 years sub-basins 14, 7, and 15 had the highest FI values under RCP 4.5, while sub-basins 2, 13, 5, 3, and 16 had the largest FI values under RCP 8.5. This suggests that these sub-basins increase the FF in the future period. According to the results of the baseline and RCP 4.5 future periods, the sub-basins that are in the middle of the basin and near the outlet had small areas. These sub-basins are mostly bare lands and have poor-to-medium land cover, along with large slopes. Therefore, IPF is not necessarily high in the basin outlet, and large floods may occur in the middle of the basin due to high flood proneness in intensive rainfall events. Under scenario RCP 8.5, the sub-basins in the northeast and those near the basin outlet have significant areas, and bare lands and poor-to-medium land cover account for large parts of sub-basins 16 and 13 in.the north of sub-basins 2 and 3. There are farmlands in the outlets of sub-basins 2 and 3 and in the north of sub-basin 5. Floods in these regions would impose irreparable damage to farmers.
Figure 9

The effect of CC on the flooding index of sub-basins in the return period of 2 and 200 years. Very Low (<0.1), Low (0.1–0.2), Moderate (0.2–0.4), High (0.4–0.6), Very High (>0.6).

Figure 9

The effect of CC on the flooding index of sub-basins in the return period of 2 and 200 years. Very Low (<0.1), Low (0.1–0.2), Moderate (0.2–0.4), High (0.4–0.6), Very High (>0.6).

Close modal

This study investigated the CC effects on floods and flood potential in the Hablehroud basin as the most important basin in the north of Iran. To study CC effects on the temperature and rainfall in the basin, 23 CMIP5 GCMs were executed under scenarios RCP 4.5 and RCP 8.5 for the future period of 2025–2048. Since Esmaeili-Gisavandani et al. (2021) suggested that SWAT was the best model in the runoff estimation of the Hablehroud basin, the present study adopted SWAT to simulate runoff in the Hablehroud basin at the daily scale. Tmin and Tmax were projected to increase in all months in the future period.

The obtained results are similar to results obtained by Lotfirad et al. (2021) in this basin. These results would increase water demand of crops and evapotranspiration in the Garmsar Plain downstream of the Hablehroud basin.

Furthermore, it was observed that IPF would increase in the future under RCP 4.5 and RCP 8.5 compared with the baseline period. Through the SWAT simulation of the daily flow in the baseline period, the IPF of the Hablehroud basin was calculated using empirical methods. The Fill-Steiner method outperformed the other techniques in the estimation of IPF (Almasi & Soltani 2017). Therefore, the IPF of the future period was estimated by the Fill-Steiner method. According to the monthly flow variations of the basin in the baseline and future periods, IPF would be larger in the future period than in baseline period (under RCP 4.5 and RCP 8.5). The largest IPF was projected to occur in spring (from March to May) in the future period due to the temperature rise and snow melting in the Hablehroud basin. The IPF was calculated for the baseline and future periods at the return periods of 2–200 years in EasyFit. The future IPF of the Hablehroud basin showed an increasing trend compared to the baseline period at return periods of 2–200 years.

The central and southern sub-basins were more prone to floods in the baseline period, while the eastern and southern sub-basins had higher flood proneness in the future period. This matter is completely consistent with the climatic modeling results suggesting increased rainfall in the eastern sub-basins in the future period.

The results of the baseline and future periods (under RCP 4.5 and RCP 8.5) indicate that sub-basins in the basin outlet (i.e., sub-basins 15, 14, and 16), sub-basins that lie in the middle of the basin (i.e., 9, 7, and 8), and upstream sub-basins (i.e., 2 and 3) have a soil of hydrological group D, large slopes, and bare lands with poor-to-medium cover and thus have significant flood potential. This finding is consistent with Maghsood et al. (2019) and Saghafian & Khosroshahi (2005). Therefore, it is necessary to implement watershed management in these sub-basins.

The authors are thankful to the anonymous reviewers and the editor for their constructive comments and insightful suggestions which helped us to improve the overall quality of the manuscript. Also, we would like to thank the Iran Meteorological Organization, Ministry of Agriculture-Jahad, and the Ministry of Energy of Iran for providing the data.

Data cannot be made publicly available; readers should contact the corresponding author for details.

Abbaspour
K. C.
2015
SWAT Calibration and Uncertainty Programs. A User Manual
.
Swiss Federal Institute of Aquatic Science and Technology
,
Eawag, Dübendorf, Switzerland
.
Abbaspour
K. C.
,
Faramarzi
M.
,
Ghasemi
S. S.
&
Yang
H.
2009
Assessing the impact of climate change on water resources in Iran
.
Water Resources Research
45
(
10
).
Adib
A.
,
Lotfirad
M.
&
Haghighi
A.
2019
Using uncertainty and sensitivity analysis for finding the best rainfall-runoff model in mountainous watersheds (Case study: the Navrood watershed in Iran)
.
Journal of Mountain Science
16
(
3
),
529
541
.
https://doi.org/10.1007/s11629-018-5010-6
.
Adib
A.
,
Kisi
O.
,
Khoramgah
S.
,
Gafouri
H. R.
,
Liaghat
A.
,
Lotfirad
M.
&
Moayyeri
N.
2021a
A new approach for suspended sediment load calculation based on generated flow discharge considering climate change
.
Water Supply
21
(
5
),
2400
2413
.
https://doi.org/10.2166/ws.2021.069
.
Adib
A.
,
Zaerpour
A.
&
Lotfirad
M.
2021b
On the reliability of a novel MODWT-based hybrid ARIMA-artificial intelligence approach to forecast daily snow depth (Case study: the western part of the Rocky Mountains in the U.S.A)
.
Cold Regions Science and Technology
189
,
103342
.
https://doi.org/10.1016/j.coldregions.2021.103342
.
Almasi
P.
&
Soltani
S.
2017
Assessment of the climate change impacts on flood frequency (case study: Bazoft Basin, Iran)
.
Stochastic Environmental Research and Risk Assessment
31
(
5
),
1171
1182
.
https://doi.org/10.1007/s00477-016-1263-1
.
Babaeian
F.
,
Delavar
M.
,
Morid
S.
&
Srinivasan
R.
2021
Robust climate change adaptation pathways in agricultural water management
.
Agricultural Water Management
252
,
106904
.
https://doi.org/10.1016/j.agwat.2021.106904
.
Bobée
B.
1975
The Log Pearson type 3 distribution and its application in hydrology
.
Water Resources Research
11
(
5
),
681
689
.
https://doi.org/10.1029/WR011i005p00681
.
Botzen
W. J. W.
,
Deschenes
O.
&
Sanders
M.
2019
The economic impacts of natural disasters: a review of models and empirical studies
.
Review of Environmental Economics and Policy
13
(
2
),
167
188
.
https://doi.org/10.1093/reep/rez004
.
Chen
B.
,
Krajewski
W. F.
,
Liu
F.
,
Fang
W.
&
Xu
Z.
2017
Estimating instantaneous peak flow from mean daily flow
.
Hydrology Research
48
(
6
),
1474
1488
.
https://doi.org/10.2166/nh.2017.200
.
Doulabian
S.
,
Golian
S.
,
Toosi
A. S.
&
Murphy
C.
2021
Evaluating the effects of climate change on precipitation and temperature for Iran using rcp scenarios
.
Journal of Water and Climate Change
12
(
1
),
166
184
.
https://doi.org/10.2166/wcc.2020.114
.
Esmaeili-Gisavandani
H.
,
Lotfirad
M.
,
Sofla
M. S. D.
&
Ashrafzadeh
A.
2021
Improving the performance of rainfall-runoff models using the gene expression programming approach
.
Journal of Water and Climate Change
12
(
7
),
3308
3329
.
https://doi.org/10.2166/wcc.2021.064
.
Farajpanah
H.
,
Lotfirad
M.
,
Adib
A.
,
Gisavandani
H. E.
,
Kisi
Ö.
,
Riyahi
M. M.
&
Salehpoor
J.
2020
Ranking of hybrid wavelet-AI models by TOPSIS method for estimation of daily flow discharge
.
Water Science and Technology: Water Supply
20
(
8
),
3156
3171
.
https://doi.org/10.2166/ws.2020.211
.
Fuller
W. E.
1914
Flood flows
.
Transactions of the American Society of Civil Engineers
77
(
1
),
564
617
.
https://doi.org/10.1061/taceat.0002552
.
Gassman
P. W.
,
Reyes
M. R.
,
Green
C. H.
&
Arnold
J. G.
2007
The soil and water assessment tool: historical development, applications, and future research directions
.
Transactions of the ASABE
50
(
4
),
1211
1250
.
https://doi.org/10.13031/2013.23637
.
Hargreaves
G. H.
&
Samani
Z. A.
1982
Estimating potential evapotranspiration
.
Journal of the Irrigation & Drainage Division – ASCE
108
(
IR3
),
225
230
.
https://doi.org/10.1061/taceat.0008673
.
Khazaei
M. R.
,
Zahabiyoun
B.
&
Saghafian
B.
2012
Assessment of climate change impact on floods using weather generator and continuous rainfall-runoff model
.
International Journal of Climatology
32
(
13
),
1997
2006
.
https://doi.org/10.1002/joc.2416
.
Khazaei
B.
,
Khatami
S.
,
Alemohammad
S. H.
,
Rashidi
L.
,
Wu
C.
,
Madani
K.
,
Kalantari
Z.
,
Destouni
G.
&
Aghakouchak
A.
2019
Climatic or regionally induced by humans? tracing hydro-climatic and land-use changes to better understand the Lake Urmia tragedy
.
Journal of Hydrology
569
,
203
217
.
https://doi.org/10.1016/j.jhydrol.2018.12.004
.
Kumar
V.
&
Sen
S.
2020
Assessment of spring potential for sustainable agriculture: a case study in lesser Himalayas
.
Applied Engineering in Agriculture
36
(
1
),
11
24
.
doi: 10.13031/aea.13520
.
Kundzewicz
Z. W.
&
Takeuchi
K.
1999
Flood protection and management: quo vadimus?
Hydrological Sciences Journal
44
(
3
),
417
432
.
https://doi.org/10.1080/02626669909492237
.
Lotfirad
M.
,
Adib
A.
,
Salehpoor
J.
,
Ashrafzadeh
A.
&
Kisi
O.
2021
Simulation of the impact of climate change on runoff and drought in an arid and semiarid basin (the Hablehroud, Iran)
.
Applied Water Science
11
(
10
),
168
.
https://doi.org/10.1007/s13201-021-01494-2
.
Maghsood
F. F.
,
Moradi
H.
,
Bavani
A. R. M.
,
Panahi
M.
,
Berndtsson
R.
&
Hashemi
H.
2019
Climate change impact on flood frequency and source area in northern Iran under CMIP5 scenarios
.
Water (Switzerland)
11
(
2
),
1
22
.
https://doi.org/10.3390/w11020273
.
Moghadam
S. H.
,
Ashofteh
P.-S.
&
Loáiciga
H. A.
2019
Application of climate projections and monte carlo approach for assessment of Future River Flow: khorramabad River Basin, Iran
.
Journal of Hydrologic Engineering
24
(
7
),
05019014
.
https://doi.org/10.1061/(asce)he.1943-5584.0001801
.
Moriasi
D.
,
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
.
https://doi.org/10.13031/2013.23153
.
Nash
J. E.
&
Sutcliffe
J. V.
1970
River flow forecasting through conceptual models – part I – A discussion of principles
.
Journal of Hydrology
10
(
1970
),
282
290
.
https://doi.org/https://doi.org/10.1016/0022-1694(70)90255-6
.
Saghafian
B.
&
Khosroshahi
M.
2005
Unit response approach for priority determination of flood source areas
.
Journal of Hydrologic Engineering
10
(
4
),
270
277
.
https://doi.org/10.1061/(asce)1084-0699(2005)10:4(270)
.
Saghafian
B.
,
Farazjoo
H.
,
Bozorgy
B.
&
Yazdandoost
F.
2008
Flood intensification due to changes in land use
.
Water Resources Management
22
(
8
),
1051
1067
.
https://doi.org/10.1007/s11269-007-9210-z
.
Sangal
B. P.
1983
Practical method of estimating peak flow
.
Journal of Hydraulic Engineering
109
(
4
),
549
563
.
https://doi.org/10.1061/(asce)0733-9429(1983)109:4(549)
.
Semenov
M. A.
,
Brooks
R. J.
,
Barrow
E. M.
&
Richardson
C. W.
1998
Comparison of the WGEN and LARS-WG stochastic weather generators for diverse climates
.
Climate Research
10
(
2
),
95
107
.
https://doi.org/10.3354/cr010095
.
Silveira
L.
,
Charbonnier
F.
&
Genta
J. L.
2000
The antecedent soil moisture condition of the curve number procedure
.
Hydrological Sciences Journal
45
(
1
),
3
12
.
https://doi.org/10.1080/02626660009492302
.
Srinivasan
R.
,
Ramanarayanan
T. S.
,
Arnold
J. G.
&
Bednarz
S. T.
1998
Large area hydrologic modeling and assessment part II: model application
.
Journal of the American Water Resources Association
34
(
1
),
91
101
.
https://doi.org/10.1111/j.1752-1688.1998.tb05962.x
.
Thavhana
M. P.
,
Savage
M. J.
&
Moeletsi
M. E.
2018
SWAT model uncertainty analysis, calibration and validation for runoff simulation in the Luvuvhu River catchment, South Africa
.
Physics and Chemistry of the Earth, Parts A/B/C
105
,
115
124
.
Vaghefi
S. A.
,
Keykhai
M.
,
Jahanbakhshi
F.
,
Sheikholeslami
J.
,
Ahmadi
A.
,
Yang
H.
&
Abbaspour
K. C.
2019
The future of extreme climate in Iran
.
Scientific Reports
9
(
1
),
1
11
.
https://doi.org/10.1038/s41598-018-38071-8
.
Zareian
M. J.
,
Eslamian
S.
&
Safavi
H. R.
2015
A modified regionalization weighting approach for climate change impact assessment at watershed scale
.
Theoretical and Applied Climatology
122
(
3–4
),
497
516
.
https://doi.org/10.1007/s00704-014-1307-8
.
Zolin
C. A.
&
Rodrigues
R. D. A. R.
2015
Impact of climate change on water resources in agriculture
.
Impact of Climate Change on Water Resources in Agriculture
45
(
10
),
1
221
.
https://doi.org/10.1201/b18652
.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Licence (CC BY 4.0), which permits copying, adaptation and redistribution, provided the original work is properly cited (http://creativecommons.org/licenses/by/4.0/).

Supplementary data