The research aims to investigate the spatiotemporal changes of water balance components and distinguish the relative impacts of climatic data and land-use on groundwater level in northeastern Iran. This investigation employs the WetSpass-M model to estimate water balance and the Mann-Kendall test alongside Sen's slope estimator to evaluate trend. The study also assesses mean annual water balance components, considering diverse combinations of land-use and soil. The findings offer a hydrological insight, revealing that 14% of precipitation results in runoff, 29% of that recharging the aquifer; the remaining portion is lost through evapotranspiration. The trends in precipitation and simulated water components are not significant but a significant downward trend in groundwater is observed beyond a specific point in time. Based on this outcome, as well as the analysis of land-use changes, it was speculated that human activities in this fast-developing region might be implicated in the decline in groundwater levels. Analysis of water balance components in various soil and land-use combinations indicates that evapotranspiration exhibits greater variability within the land-cover class, while recharge is more influenced by soil texture. These findings enhance our understanding for identifying potential sites for artificial recharge and determining sustainable groundwater withdrawals based on spatiotemporal recharge patterns.

  • Groundwater recharge has a higher portion of precipitation than runoff in this arid region which is consistent with some studies in other countries.

  • Groundwater level reduction in the study area is more relative to anthropogenic activities than climate.

  • Evapotranspiration is more influenced by land use than soil texture.

  • Groundwater recharge is more variable within soil texture than within land use.

Water stands as one of the pivotal limiting factors of agricultural productivity and livestock; moreover, its availability is a critical factor influencing our welfare. Effective water management in arid and semi-arid regions is essential for meeting the diverse water needs of humans, livestock, and ecosystems. Inadequate water resource practices contribute to land degradation and environmental challenges, underscoring the importance of sound water management practices in these regions (Sharma 1998). Estimating the components of water balance becomes imperative for sustainable land and water management, assessing groundwater depletion, evaluating available water, and preventing land degradation. In semi-arid and arid areas, groundwater serves as a vital water source, playing a crucial role in societal development (UN/WWAP 2006; Holger et al. 2012; Scanlon et al. 2012; Voss et al. 2013; Awan & Ismaeel 2014). However, overexploitation of groundwater negatively impacts both its quantity and quality (Scanlon et al. 2012). Therefore, assessment of the conditions of groundwater recharge in the semi-arid and arid areas is an important challenge and task to determine the sustainability of the aquifers (Yongxin & Beekman 2003; Crosbie et al. 2010).

The recharge of groundwater is the most important factor for determining safe yield (Lerner et al. 1990; Xu 2011; Tesfamichael et al. 2013). The amounts and locations of the groundwater recharge are also crucial to determine the sustainable use of groundwater resources (Sophocleous & Devlin 2004; Devlin & Sophocleous 2005). Groundwater recharge may be estimated using different methods (e.g., Lerner et al. 1990; Simmers 1997; Kinzelbach et al. 2002; Xu 2011). Hence, water-budget methods and models can be implemented with different approaches (Xu 2011). Several models such as SWAT (Arnold et al. 2000), SVAT (Armbruster & Leibundgut 2001), and DREAM (Manfreda et al. 2005), estimate groundwater recharge based on complex hydrological processes. However, in developing countries where hourly and daily climatic data are scarce, their application is limited (Abdollahi et al. 2017). The WetSpass model (a spatially distributed hydrological model) assesses the recharge of groundwater on seasonal and annual time scales (Batelaan & De Smedt 2001, 2007). Numerous studies, including those highlighted in this section, have focused on assessing groundwater recharge and surface runoff using the WetSpass model in various countries (Abu-Saleem et al. 2010; Arefaine et al. 2012; Al-Kuisi & El-Naqa 2013; Tesfamichael et al. 2013; Aish 2014). Recently, Salem et al. (2019) demonstrated that the mean long-term spatiotemporal monthly rainfall in the Drava basin is divided as runoff (29%), evapotranspiration (27%), and recharge (44%). Ashaolu et al. (2020) indicated that 27% of the precipitation in Osun drainage basin, Nigeria, becomes recharge to the aquifer, while the remaining rainfall is lost via evapotranspiration (52%) and surface runoff (21%).

In spite of the water shortage in arid areas of Iran, it is estimated that more than 90% of the freshwater is utilized for agriculture. About 12% of the whole space of Iran (i.e., 19 million hectares) is occupied by agricultural lands. Due to the dependence of most of the country's plains on groundwater resources, especially the Mashhad plain, this area is facing an intense water crisis. The present study concentrates on the Mashhad catchment, Iran, aiming to fill knowledge gaps by meticulously analyzing the spatial and temporal variability of groundwater recharge across different land-use and soil types. The overarching scientific objectives encompass evaluating the WetSpass-M model's capability in estimating water balance component variation, discerning the relative impacts of land-use and climatic data on groundwater level, and assessing mean annual water balance components in diverse land-cover and soil texture combinations. Methodologically, GIS and RS techniques were employed to prepare data, the WetSpass-M hydrological model was applied to assess water balance components (Abdollahi et al. 2012), and non-parametric Mann–Kendall tests and Sen's slope estimator were utilized for trend detection. Finally, GIS tools facilitated the integration of water balance component maps with soil and land-use maps. In the context of Iran's arid areas, where over 90% of freshwater supports agriculture and the Mashhad plain faces a severe water crisis, understanding spatial and temporal recharge patterns becomes crucial for sustainable water management. This study contributes detailed information to inform decision-makers, addressing the pressing need for effective water resource management in data-poor regions.

Description of the study area

The study area is located between east longitude of 58°20′ to 60°8′ and north latitude of 35°58′ to 37°3′ in the North East of Iran (Figure 1). The catchment extent is 9,909 km2, where the highlands and plains are 6,558 and 3,351 km2, respectively. The altitude of the mountainous area ranges from 904 to 3,248 m above sea level, and the average slope of the basin is about 9.6%. Most of the precipitation in this area occurs during winter and spring. In terms of climatic conditions, the average long-term precipitation in this area is 265 mm/year during the study period (October 1985 to September 2013). Spatially averaged precipitation and pan-evaporation for the study area for the study period are shown in Figure 2. Mashhad Plain is a major center of industry and agriculture in Iran. It is also considered as a crucial center of social–political in the province of Khorasan-Razavi. Because of over-extraction of groundwater, land subsidence occurred in some parts of the study area. Since 1968, new industrial and agricultural activities have been prohibited in the Mashhad catchment (Alem et al. 2021). In terms of land use, rangelands and then agricultural lands have occupied the largest area of the study region. Mashhad Plain has been faced with a fast increase rate of population density and economic processes, mainly based on agricultural activities. Groundwater is considered the principal source of water supply, because of surface water shortage in this area. So, in order to respond to the increasing trend of water requests, groundwater resources have been over extracted during the last years (Bagheri & Hosseini 2011). The total renewable water of Mashhad Plain is 935 Mm3, while the whole discharge of the aquifer is 1,071 Mm3 (Dogani et al. 2020). The wind direction is mainly from southeast to northwest of the area. Maximum temperature and minimum temperature occur during summer (43 °C) and winter (−23 °C), respectively (Alem et al. 2021).
Figure 1

Geographical location of the Mashhad basin, rivers, used stations (meteorological and hydrometric) and piezometric wells in Khorasan-Razavi Province, Iran.

Figure 1

Geographical location of the Mashhad basin, rivers, used stations (meteorological and hydrometric) and piezometric wells in Khorasan-Razavi Province, Iran.

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Figure 2

Long-term spatial average monthly pan-evaporation compared to rainfall for the study period.

Figure 2

Long-term spatial average monthly pan-evaporation compared to rainfall for the study period.

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Overview of the method

The methodological framework employed in this study comprises multiple integrated steps. Initially, remote sensing data and spatial analysis tools were utilized to prepare input data for the WetSpass-M model. Subsequently, this model was applied to ascertain the spatial distribution of water balance components (groundwater recharge, surface runoff, and evapotranspiration). These components were studied in relation to various influencing factors such as groundwater depth, hydro-meteorology, topography, land-use type, and soil texture. In the next phase, base-flow analysis was conducted using the Web-based Hydrograph Analysis Tool (WHAT) based on daily river flow data. The identified base-flow was compared with the base-flow simulated by the WetSpass-M model. To evaluate mean annual water balance components across different combinations of soil and land-use data, maps generated by the hydrological model were integrated with soil and land-use maps using spatial analysis tools, specifically the geographic information system. Finally, the Mann–Kendall test and Sen's slope estimator were employed to discern annual trends in groundwater level, precipitation, and simulated water balance component values. The annual slope of statistically significant trends was calculated. A conceptual flowchart illustrating the research steps is presented in Figure 3.
Figure 3

Conceptual diagram of the different research's steps.

Figure 3

Conceptual diagram of the different research's steps.

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Data preparation for WetSpass-M model

The WetSpass-M model required diverse input data, including distributed land use, monthly leaf area index (LAI), soil textural type, slope map, monthly groundwater depth, and weather data (rainfall, pan-evaporation values, numeral rainy days per month, temperature, and wind speed). The model's grid maps, configured at 631 rows by 467 columns with a cell size of 250 m × 250 m, were established using a digital elevation model (DEM) derived from topography maps at a 1:50,000 scale provided by the Geological Survey and Mineral Exploration of Iran (Figure 1). A corresponding slope map was then generated based on the DEM.

Remote sensing-based and cloud-free Landsat TM (http://earthexplorer.usgs.gov) satellite images were applied to create a land-cover map using ENVI software. In this study, land-use/land-cover (LULC) categorization was conducted by the supervised categorization method with the maximum-likelihood algorithm. The existing land-use classes in the study area were identified through field visits Google Earth images, during which 466 samples (rangeland 128, irrigation farming 76, residential 54, orchard 38, rain-fed farming 115, bare soil 25, outcrop 16, and waterbody 12) were collected to evaluate and verify the accuracy of the prepared land-use maps. The validation findings of provided land-use maps indicated an overall accuracy of 85.6 and 89.7% and a Kappa coefficient of 0.84 and 0.87 for the 1986 and 2013 images, respectively. Eight land-cover classes were identified, which are dominated by the rangeland class (Figure 4(a)). The Mashhad catchment's soil map was prepared according to the maps of land capacity, soil, and soil hydrologic groups generated by the Khorasan-Razavi Agricultural and Natural Resource Center (ANRC) (1996) (Figure 4(b)). Soil texture categories were converted into soil textural types of USGS utilizing the percent of the coarse, medium, and fine particles available in the surface soil and using the saturated hydraulic conductivity of soil hydrologic groups. Eight soil types were determined, i.e., clay, sandy clay, loam, silt, silty loam, sandy clay loam, silty clay, and silty clay loam which are dominated by silty clay loam texture class.
Figure 4

Spatial variation of land-use types in 1986 (a) and soil types (b) in Mashhad Basin.

Figure 4

Spatial variation of land-use types in 1986 (a) and soil types (b) in Mashhad Basin.

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AVHRR and MODIS products were used to obtain the long-term monthly LAI from 1985 to 2013 (available at: ftp://ftp.glcf.umd.edu/glcf/GLASS/LAI/AVHRR), these maps were resampled based on the required pixel size for the study area. Monthly snow cover data from 2000 to 2013 were acquired from MODIS products, while data from 1985 to 2000 were derived through regression analysis of snow, temperature, and rain using Integrated Land and Water Information (ILWIS) software. Groundwater level data (for 50 observation piezometric wells) spanning from October 1985 to September 2013 were sourced from the Regional Water Authority of the Khorasan-Razavi Province. Distributed monthly groundwater depth was determined by subtracting groundwater levels from topographical elevation data. Monthly hydro-climatological variables, such as groundwater depth, precipitation, temperature, pan evaporation, and wind speed, were converted into grid maps using spatial analysis tools. These hydro-climatological data were collected from synoptic and climatology stations (35 weather stations and one hydrometric station) operated by the Iranian Ministry of Water Resources and Meteorological Organization from October 1985 to September 2013.

WetSpass-M water balance model

The WetSpass-M model, the latest version of the WetSpass model, served as the basis for estimating water balance. This raster-based, quasi-physically distributed monthly hydrological model facilitated the estimation of interception, runoff, evapotranspiration, and recharge for each pixel. The simulation process, initiated with data reading, progressed through monthly water balance components per pixel, encompassing interception, runoff, evapotranspiration, and recharge. The model's flexibility was enhanced through its spatial computational engine, developed by Abdollahi et al. (2012, 2017) in IronPython.

Land-cover changes lead to changes in the LAI, consequently estimated interception and evapotranspiration values. The monthly interception is computed by the following equation:
(1)
where Im and Pm are interception and monthly rainfall, respectively (mm/month), and IR is the ratio of interception.
Land-use, soil, slope, and rainfall intensity about the soil infiltration capacity affect the surface runoff, which is computed in terms of mm/month utilizing an illustrative technique operated on a monthly basis employing two coefficients (Equation (2)):
(2)

indicates surface runoff (mm/month), Csr shows the coefficient of surface runoff (implication of the portion of monthly rainfall which participates in surface runoff), Ch and Im are a soil moisture-dependent coefficient and the monthly interception, respectively.

Monthly snowmelt simulated based on the linear degree-day relationship between snowmelt and temperature (Equation (3) mm/month):
(3)
where SM is monthly snowmelt (mm/month), Cm is the coefficient of melt rate (mm/day) or the coefficient of degree-day (°C/day), Td is a daily average temperature (°C), and Dd is the number of degree-days per month (Knight et al. 2001).
This hydrological model calculates the monthly evapotranspiration for each pixel (ETm; mm/month) via the following equation:
(4)
where av, a0, ab, and ai are the area fractions and ETV, ETo, ETb, and ETi are evapotranspiration for the vegetated region, open water, bare soil, and impervious surface, respectively (Batelaan et al. 2003; Abdollahi et al. 2017).
Simulating the long-term mean spatial patterns of the groundwater recharge is the principal purpose of utilized hydrological model (Batelaan & De Smedt 2001) which is calculated based on the following equation:
(5)
where Rm, Pm, SRm, and ETm are groundwater recharge (mm/month), rainfall, surface runoff, and evapotranspiration, respectively.
The monthly base-flow for each cell in the WetSpass-M model is calculated using Equation (6). In this equation, the groundwater recharge in the current month and the storage of the previous month were used (Abdollahi et al. 2017):
(6)
where is the base flow calculated per cell, shows the storage parameter (0–1), is the base flow of the earlier month (m3/month), stands for the days of each month , and are the recharge contribution factor to current base flow (m2/day) and the monthly recharge (mm/month), respectively.

Web-based hydrograph analysis tool

Researchers such as Eckhardt and Gonzales et al. have corroborated the effective performance of the WHAT system in assessing water balance evaluation and calibrating hydrological models (Eckhardt 2005; Gonzales et al. 2009). In this investigation, the WHAT system was used to partition base flow from river flow (Lim & Engel 2004), employing three separation modules: the one-parameter digital filter technique (Lyne & Hollick 1979; Nathan & McMahon 1990; Arnold & Allen 1999; Arnold et al. 2000), the local-minimum method (Lim et al. 2005), and the Eckhardt recursive digital filter (Eckhardt 2005). River flow data from the Moshang station, situated on the primary perennial stream, was used for filtration. Iranian Ministry of Water Resources collected and provided these data at daily and monthly intervals covering a period from October 1985 to September 2013. The hydrograph separation tool was applied to daily base data, and monthly base-flow and direct-runoff were computed based on the daily data average over the study period (336-time steps).

Model calibration involved iterative adjustments to input calibration parameters (a, LP, x, α, β, ∅, and MF, corresponding to interception, surface runoff, runoff delay, evapotranspiration, storage parameter, recharge contribution, and snowmelt, respectively) through trial-and-error process. Sensitivity analysis was conducted on three key parameters (LP, a, and α) as a technique to simplify the model calibration (Abdollahi et al. 2017). Calibration and validation of the WetSpass-M model were performed via the comparison of model-simulated data and filtered river flow data using the WHAT method (direct-runoff and base flow).

Mann–Kendall and Sen's slope tests

Mann (1945) and Kendall (1975) developed a rank non-parametric examination named the MK test for statistical testing of the existence of trends. This method is applied to estimate the trend of the hydrologic, climatic, and hydro-meteorological time series (Shahid & Hazarika 2010; Li et al. 2018; Tan et al. 2019), such as temperature, evapotranspiration, runoff, and rainfall (Sayemuzzaman & Jha 2014; Wang et al. 2015). In this test, the alternative (Ha) and null hypotheses (Ho), respectively, correspond to the presence and non-existence of a trend in data time series (Shadmani et al. 2012). The MK test statistic S and the ZMK are computed using the following equations:
(7)
(8)
(9)
(10)
where n indicates the numeral of observed data, q shows the numeral of series having at least one replication data, and t represents the number of data that have the same value.
To estimate the true slopes of the significant trends, a simple non-parametric procedure developed by Sen (1986) was applied. The slope estimates via the following equation:
(11)
where i represents the number of slopes and the slope estimator of Sen technique is the median of them, and are, respectively, the data values at time j and g (j>g).

Simulation of water balance components

In this section, we present a comprehensive analysis of the hydrological components derived from the WetSpass-M model, shedding light on surface runoff, recharge, interception, and evapotranspiration in the Mashhad catchment. The grid-based maps generated by the WetSpass-M model vividly depict the spatial distribution of water balance components at a pixel level, represented as a coating thickness (in mm) for surface runoff, recharge, interception, and evapotranspiration. The model integrates two crucial coefficients, the actual runoff coefficient (Csr), and soil condition coefficient (Ch), for monthly surface runoff simulation. A detailed examination of the flow hydrograph and its component base-flow and direct-runoff reveals a noteworthy correlation with precipitation, as illustrated in Figure 5. The recursive digital filter method, performed with WHAT, effectively separated base-flow and direct-runoff from total discharge. Sensitivity analysis identified LP as the most influential parameter, with α and a following suit. Altering LP demonstrated a corresponding decrease in runoff and an increase in recharge. This parameter sensitivity order diverges from the previous research by Abdollahi et al. (2017), underscoring the local nuances of our study region. Optimum parameters for the WetSpass-M model are detailed in Table 1.
Table 1

Optimal values of WetSpass-M model calibration parameters and their typical range

ParameterComponentTypical rangeOptimal value
LP Surface runoff 0.4–1 0.8 
Runoff delay 0–1 0.7 
Interception 0.3–6 3.1 
α Evapotranspiration 0.3–3 < 1.8 
β Base-flow 0–1 0.52 
ParameterComponentTypical rangeOptimal value
LP Surface runoff 0.4–1 0.8 
Runoff delay 0–1 0.7 
Interception 0.3–6 3.1 
α Evapotranspiration 0.3–3 < 1.8 
β Base-flow 0–1 0.52 
Figure 5

Monthly precipitation, total discharge, and separated surface runoff and base-flow using WHAT tool.

Figure 5

Monthly precipitation, total discharge, and separated surface runoff and base-flow using WHAT tool.

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The comparison between base-flow and surface runoff calculated via WHAT and simulated by the WetSpass-M model was used for calibration. The calibration results (for 70% of the total period from October 1985 to March 2005) and validation (for 30% of the whole study period from April 2005 to September 2013), showcased in Figure 6, affirm the model's reliability by demonstrating agreement between simulated and filtered data. This consensus is further reinforced through model evaluation presented in Table 2.
Table 2

Statistical criteria of the WetSpass-M model evaluation

Statistical criteriaBase-flow (m3/s)Surface runoff (m3/s)
R2 0.76 0.73 
NSE 0.74 0.71 
RMSE 1.65 0.59 
Statistical criteriaBase-flow (m3/s)Surface runoff (m3/s)
R2 0.76 0.73 
NSE 0.74 0.71 
RMSE 1.65 0.59 
Figure 6

Comparison of the monthly base-flow and surface runoff filtered from observed discharge versus (a) generated base-flow from simulated recharge and (b) simulated surface runoff.

Figure 6

Comparison of the monthly base-flow and surface runoff filtered from observed discharge versus (a) generated base-flow from simulated recharge and (b) simulated surface runoff.

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Analyzing monthly runoff dynamics in the Mashhad catchment (Table 3) unveils variations from 0 to 41.9 mm/month, with average and standard deviation values of 3.2 and 5 mm/month, respectively. It discovered that about 14% of the total average monthly precipitation (22 mm) in the Mashhad basin became surface runoff (3.2 mm) during the study period. This result is higher than compared to the findings of Teklebirhan et al. (2012), Al-Kuisi & El-Naqa (2013), and Mathenge et al. (2020). For instance, Teklebirhan et al. (2012) indicated that as low as 7% of precipitation became surface runoff on the basin located in Northern Ethiopia. On the other hand, this is lower than what was found by Tesfamichael et al. (2013), Salem et al. (2019), Ashaolu et al. (2020) and Zeabraha et al. (2020). For instance, in Adigrat area, Northern Ethiopia, Zeabraha et al. (2020) observed that about 16% of the annual precipitation became surface runoff. Generally, the comparison with the previous studies highlights both higher and lower percentages, emphasizing the unique hydrological characteristics of our study area.

Table 3

Monthly water balance components of the Mashhad basin during the study period

Water balance componentsMonthly values (mm/month)
MaxMinMeanStd. dev.
Precipitation 107.4 22 21.9 
Evapotranspiration 63.9 12.7 13.4 
Recharge 38 6.5 5.9 
Surface runoff 41.9 3.2 4.9 
Differences (P–AET–S–R22–12.7–3.2–6.5 = − 0.4 
Water balance componentsMonthly values (mm/month)
MaxMinMeanStd. dev.
Precipitation 107.4 22 21.9 
Evapotranspiration 63.9 12.7 13.4 
Recharge 38 6.5 5.9 
Surface runoff 41.9 3.2 4.9 
Differences (P–AET–S–R22–12.7–3.2–6.5 = − 0.4 

The estimation of actual evapotranspiration in the Mashhad basin (Table 3), encompassing various land-use classes and soil types, discloses monthly variability (0–63.9 mm) and a substantial contribution (57%) to the water balance. This aligns with earlier research emphasizing the pivotal role of evapotranspiration in watershed water loss (e.g., Tesfamichael et al. 2013,Ashaolu et al. 2020; Gebru & Tesfahunegn 2020; Mathenge et al. 2020; Zeabraha et al. 2020). Monthly groundwater recharge, spanning October 1985–September 2013, exhibits variability (0–38 mm), with an average of 6.5 mm (Table 3). Significantly, 29% of the average monthly rainfall contributes to recharge, a proportion exceeding comparable dry regions (e.g., Adelana et al. 2006; Teklebirhan et al. 2012; Al-Kuisi & El-Naqa 2013; Babama'aji 2013; Tesfamichael et al. 2013; Zeabraha et al. 2020) but falling below the values reported by Salem et al. (2019).

The long-term monthly quota of the water balance elements as a percentage of the rainfall is shown in Table 4. Notably, the lowest percentage of monthly long-term surface runoff occurred in August (1.3%), July (1.4%), September (1.7%), October (3.1%), and June (4.4%). During these months, the vegetation cover in the area is more than in other months. Change in monthly surface runoff can also be related to the unequal temporal distribution of precipitation in different months (Figure 7). For all monthly water balance components except for the months of June to October, the highest percentage of precipitation is associated with evapotranspiration (Table 4). Accordingly, higher amounts of evapotranspiration are discovered during the months which receive more precipitation. Most of the evapotranspiration occurs during the month of November (235.1 mm) to May (557.5 mm) (Figure 7). The results of this study are consistent with the findings of the studies by Arefaine et al. (2012), Al-Kuisi & El-Naqa (2013), and Tesfamichael et al. (2013). According to the results of Table 4, the highest percentage of recharge to the aquifer occurred in the months of June to October, when minimum runoff and evapotranspiration were noted.
Table 4

Percentage of long-term average monthly water balance components simulated by WetSpass-M model compared to total monthly precipitation during the study period (percent of precipitation)

MonthJanFebMarAprMayJunJulAugSepOctNovDec
Precipitation (mm) 25.5 39.2 46 44.6 39 14.2 3.2 2.1 5.5 18.1 25.6 
Evapotranspiration (%) 31.9 33.3 46.6 50.9 51.1 51.6 61.4 60.9 56.9 49.1 46.4 41.4 
Recharge (%) 26.9 26.1 20.4 27.2 35.7 42.8 36.2 35.9 39.4 44.3 32.2 25.4 
Interception (%) 22.8 20.4 18.3 11.3 5.1 1.8 1.9 4.2 12.8 18.8 
Surface runoff (%) 20.9 22.2 17.3 12.7 9.7 4.4 1.4 1.3 1.7 3.1 11 16.5 
Balance error −2.5 −2 −2.6 −2.1 −1.6 −0.6 −0.1 0.1 −0.7 −2.4 −2.1 
MonthJanFebMarAprMayJunJulAugSepOctNovDec
Precipitation (mm) 25.5 39.2 46 44.6 39 14.2 3.2 2.1 5.5 18.1 25.6 
Evapotranspiration (%) 31.9 33.3 46.6 50.9 51.1 51.6 61.4 60.9 56.9 49.1 46.4 41.4 
Recharge (%) 26.9 26.1 20.4 27.2 35.7 42.8 36.2 35.9 39.4 44.3 32.2 25.4 
Interception (%) 22.8 20.4 18.3 11.3 5.1 1.8 1.9 4.2 12.8 18.8 
Surface runoff (%) 20.9 22.2 17.3 12.7 9.7 4.4 1.4 1.3 1.7 3.1 11 16.5 
Balance error −2.5 −2 −2.6 −2.1 −1.6 −0.6 −0.1 0.1 −0.7 −2.4 −2.1 
Figure 7

Temporal variation of long-term average monthly water balance components and their proportion to precipitation during the study period.

Figure 7

Temporal variation of long-term average monthly water balance components and their proportion to precipitation during the study period.

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Water balance components in different combined land use and soil

The long-term average annual runoff map (Figure 8(a)) is computed using the monthly simulated maps per year. According to the results, the maximum values are observed in the center (close to the Mashhad Mega City), northwest, and southwest regions of the catchment which is correlated with the higher average annual precipitation (Figure 8(d)). Table 5 provides insight into surface runoff disparities across soil and land-use types, emphasizing the influence of clay soils on increased runoff. Accordingly, the highest value of surface runoff in the study area occurred in the silty loam and clay soils with rain-fed farming, this is because of the low permeability of clay soil which increases the runoff. The finding is the same as the previous observations by Babama'aji (2013) in the Lake Chad catchment, Salem et al. (2019) in Drava Basin in Hungary and Ashaolu et al. (2020) in Nigeria, West Africa, On the other hand, the lowest values of surface runoff occur in silty clay, sandy clay, and silty clay loam soils with rangeland. These results are at variant with what Al-Kuisi & El-Naqa (2013) reported in the arid Jafr catchment, Jordan, where relatively high surface runoff was observed in silty clay soil. It is also inconsistent with the findings of Tesfamichael et al. (2013) who stated that the highest runoff occurs on sandy clay soils. The findings of various combinations of soil and land-use types clearly indicated that the soil influenced more on the spatial distribution of runoff than land use, which is in good agreement with what was found in earlier researches (Teklebirhan et al. 2012; Al-Kuisi & El-Naqa 2013; Babama'aji 2013; Tesfamichael et al. 2013; Ashaolu et al. 2020). Overall, these findings reinforce the dominance of soil characteristics in runoff patterns.
Table 5

Mean annual surface runoff simulated by WetSpass-M model for combinations of land-use and soil texture (mm)

ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanStd.dev.
Irrigation farming 62 59 67 75 64 65 64 82 67 
Residential 48 33 33 33 25 28 27 44 34 
Rangeland 35 26 23 35 25 22 23 37 28 
Rain-fed farming 84 63 68 77 68 59 60 92 71 12 
Bare soil 41 42 a a 51 41 47 a 44 
Orchard 63 55 67 55 48 a 38 72 57 12 
Mean 55.5 46 52 55 47 43 43 65   
Std. dev. 18 15 22 21 19 19 17 24   
ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanStd.dev.
Irrigation farming 62 59 67 75 64 65 64 82 67 
Residential 48 33 33 33 25 28 27 44 34 
Rangeland 35 26 23 35 25 22 23 37 28 
Rain-fed farming 84 63 68 77 68 59 60 92 71 12 
Bare soil 41 42 a a 51 41 47 a 44 
Orchard 63 55 67 55 48 a 38 72 57 12 
Mean 55.5 46 52 55 47 43 43 65   
Std. dev. 18 15 22 21 19 19 17 24   

aThere is no region with this specific combination of soil and land-use in the study area.

Figure 8

Spatial maps of water balance components simulated by WetSpass-M model and precipitation: (a) average yearly runoff (mm), (b) average yearly AET (mm), (c) average yearly recharge (mm), and (d) average yearly precipitation (mm).

Figure 8

Spatial maps of water balance components simulated by WetSpass-M model and precipitation: (a) average yearly runoff (mm), (b) average yearly AET (mm), (c) average yearly recharge (mm), and (d) average yearly precipitation (mm).

Close modal

The average annual evapotranspiration for 28 years was calculated by adding monthly evapotranspiration maps (Figure 8(b)) and is higher in regions with higher vegetation cover and agricultural land. Table 6 reveals the variability of evapotranspiration among the various combinations of soil and land use. Silty loam and silty clay loam soils exhibit the highest evapotranspiration, while the lowest value was obtained for clay soil. The irrigation farming, rain-fed farming, and orchard land uses display the greatest amounts of evapotranspiration, meanwhile, the lowest values are revealed in rangeland and residential land-use classes. Tesfamichael et al. (2013) reported that evapotranspiration in their case study was more affected by land-use class than soil texture and the same result was found in our study area which shows that evapotranspiration is more changeable within land cover than soil texture (Table 6).

Table 6

Mean annual evapotranspiration simulated by WetSpass-M model for combinations of land-use and soil texture (mm)

ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanStd.dev.
Irrigation farming 179 187.5 195 196 194 200 213 220 198 13 
Residential 124 134 99 121 130 138 151 142 130 16 
Rangeland 118 121 114 122 128 129 145 143 127 11 
Rain-fed farming 75 187 191 196 196 199 214 216 184 45 
Bare soil 157 163 a a 187 168 186 a 172 14 
Orchard 181 193 172 177 170 a 192 178 180 
Mean 139 164 154 162 167 167 183 179.8   
Std. dev. 41 30 45 38 31 33 30 38   
ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanStd.dev.
Irrigation farming 179 187.5 195 196 194 200 213 220 198 13 
Residential 124 134 99 121 130 138 151 142 130 16 
Rangeland 118 121 114 122 128 129 145 143 127 11 
Rain-fed farming 75 187 191 196 196 199 214 216 184 45 
Bare soil 157 163 a a 187 168 186 a 172 14 
Orchard 181 193 172 177 170 a 192 178 180 
Mean 139 164 154 162 167 167 183 179.8   
Std. dev. 41 30 45 38 31 33 30 38   

aThere is no region with this specific combination of soil and land-use in the study area.

The annual recharge maps were created based on monthly simulated recharge maps (Figure 8(c)). The lowest values of groundwater recharge were observed in the flat parts of the catchment, probably due to a mixture of desirable circumstances such as more surface runoff and more evapotranspiration and more vegetation cover. Soil textural types and land-cover classes had a significant impact on groundwater recharge. The average annual groundwater recharge amounts for various mixtures of soil and land-use categories are indicated in Table 7. It seems that loamy and sandy clay soils with rangeland have the highest amounts of groundwater recharge, basically due to the high permeability of these soils. Agricultural lands with the soil classes of silty loam, silty clay, and sandy clay loam soils have the lowest values, which is clearly due to the high transpiration, evaporation losses, high temperature, and low precipitation in these flat regions. The higher standard deviation amounts of the recharge for various soil textures (Table 7) show that soil texture has more impact on recharge than land-use classes. This underscores the predominant impact of soil characteristics on recharge, consistent with what was reported by Babama'aji (2013), while is inconsistent with the findings of Ashaolu et al. (2020) who indicated that recharge in Nigeria was more affected by land-use type.

Table 7

Mean annual recharge simulated by WetSpass-M model for combinations of land-use and soil texture (mm)

ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanSt.dev.
Irrigation farming 27 20 2.5 9.4 10 
Residential 39 45 52 49 44 36 36 32 41 
Rangeland 105 108 114 94 90 77 85 80 94 14 
Rain-fed farming 27 20 5.5 2.5 10.6 10 
Bare soil 56 48 a a 27 27 25 a 36.6 14 
Orchard 46 37 19 16 24 a 19 12 24.7 12 
Mean 56 49 43 40.5 38 35.5 29 26   
St. dev. 29 33 45 41 32 31 30 33   
ClayLoamSandy claySandy clay loamSiltSilty claySilty clay loamSilty loamMeanSt.dev.
Irrigation farming 27 20 2.5 9.4 10 
Residential 39 45 52 49 44 36 36 32 41 
Rangeland 105 108 114 94 90 77 85 80 94 14 
Rain-fed farming 27 20 5.5 2.5 10.6 10 
Bare soil 56 48 a a 27 27 25 a 36.6 14 
Orchard 46 37 19 16 24 a 19 12 24.7 12 
Mean 56 49 43 40.5 38 35.5 29 26   
St. dev. 29 33 45 41 32 31 30 33   

aThere is no region with this specific combination of soil and land-use in the study area.

Trend detection

Figure 9 shows the relationship between monthly groundwater recharge simulated using WetSpass-M model and the observed groundwater level from the aquifer's hydrograph. A notable annual decline of about 0.66 m per year is observed, with the statistical significance attributed solely to groundwater level trends (Table 8). Analysis trends in annual groundwater level, annual precipitation, and simulated water balance components in the Mashhad basin indicate that only the groundwater level has a statistically significant subtractive trend. This decline, coupled with land-use changes (Table 9), implies over extraction due to human activities. Accordingly, irrigation farming, residential (including industrial), orchard, and bare soil area were increased by 45.3% (393 km2), 63% (321.4 km2), 196% (152.2 km2), and 166% (115.9 km2), respectively. Therefore, it can be concluded that the groundwater level has probably decreased due to the over extraction of groundwater for irrigation, drinking, and industrial purposes during the study period. Our hydrological analysis, facilitated by the WetSpass-M model, unveils intricate water balance dynamics in the Mashhad catchment. The nuanced interplay of parameters, validated by comprehensive comparisons, emphasizes the model's reliability. The unique hydrological characteristics observed underscore the importance of local conditions in shaping water balance outcomes.
Table 8

Statistics of the annual trends of simulated water components, groundwater level, and precipitation

Time seriesMann–Kendall trend
Sen's slope estimates
Test ZQQ min 95%Q max 95%
Simulated recharge (mm/year) −0.65 −0.21 −1.28 0.641 
Groundwater level (m/year) −7.05a −0.73 −0.792 −0.888 
Simulated runoff (mm/year) −0.30 −0.097 −0.847 0.744 
Evapotranspiration (mm/year) −1.17 −1.05 −3.290 0.918 
Precipitation (mm/year) −0.81 −1.45 −5.067 1.95 
Time seriesMann–Kendall trend
Sen's slope estimates
Test ZQQ min 95%Q max 95%
Simulated recharge (mm/year) −0.65 −0.21 −1.28 0.641 
Groundwater level (m/year) −7.05a −0.73 −0.792 −0.888 
Simulated runoff (mm/year) −0.30 −0.097 −0.847 0.744 
Evapotranspiration (mm/year) −1.17 −1.05 −3.290 0.918 
Precipitation (mm/year) −0.81 −1.45 −5.067 1.95 

aSignificant in 5% level.

Table 9

Percentage of land-use change from 1986 to 2013

Land-use class1986 (km2)2013 (km2)Changes (km2)Changes ≍ (%)
Rangeland 5,331.52 4,504.67 −826.85 −15.5 
Irrigation farming 867.46 1,260.49 +393.03 +45.3 
Residential and industrial 509.85 831.26 +321.41 +63 
Orchard 77.65 229.87 +152.21 +196 
Bare soil 69.67 185.58 +115.92 +166.4 
Rain-fed farming 2,983.06 2,824.52 −158.54 −5.3 
Land-use class1986 (km2)2013 (km2)Changes (km2)Changes ≍ (%)
Rangeland 5,331.52 4,504.67 −826.85 −15.5 
Irrigation farming 867.46 1,260.49 +393.03 +45.3 
Residential and industrial 509.85 831.26 +321.41 +63 
Orchard 77.65 229.87 +152.21 +196 
Bare soil 69.67 185.58 +115.92 +166.4 
Rain-fed farming 2,983.06 2,824.52 −158.54 −5.3 

−Indicates a decrease, +indicates an increase.

Figure 9

Relationship between monthly groundwater recharge and groundwater level from October 1985 to September 2013.

Figure 9

Relationship between monthly groundwater recharge and groundwater level from October 1985 to September 2013.

Close modal

In this study, we employed the WetSpass-M model, a raster-based quasi-physically distributed monthly hydrological model, to comprehensively assess the monthly water balance components in the Mashhad catchment. Utilizing a combination of the WetSpass-M model, WHAT (WHAT), and non-parametric trend analysis tests, we evaluated various hydrological aspects and identified trends in the data. Spatial analysis techniques were integral in preparing the extensive input data required for the model. Our results highlight that the average monthly evapotranspiration, constituting 57% (12.7 mm) of the monthly precipitation (22 mm), is primarily influenced by precipitation and vegetation cover. Notably, long-term average monthly evapotranspiration increased with rising monthly precipitation, with rain-fed and irrigation farming lands, along with silty loam soils, exhibiting the highest evapotranspiration. Examining the monthly runoff, we observed variations ranging from 0 to 41.9 mm, with an average of 3.2 mm, representing 14% of the monthly precipitation. The highest surface runoff occurred in irrigation farming areas on silty loam and clay soils. Monthly recharge of the Mashhad catchment ranged from 0 to 38 mm, averaging 6.5 mm per month, constituting 29% of the monthly precipitation, with the highest amount occurring in sandy clay soils with rangeland.

Spatially, the largest surface runoff amounts were observed in the southwest and central regions of the catchment, correlating with higher rainfall. Additionally, areas with low elevation exhibited higher evapotranspiration and lower groundwater recharge compared to the high-altitude regions. Combining simulated maps using the WetSpass-M model with soil and land-use maps revealed that evapotranspiration varies more within land-use classes compared to soil texture types, while soil texture had a greater impact on recharge and surface runoff compared to land use in the Mashhad Basin. Only groundwater depth showed a statistically significant declining trend post the 1990s, while precipitation and simulated water components trends were not statistically significant. The increase in irrigation farming area, residential area, and orchard land cover from 1986 to 2013 suggests a potential influence on the declining groundwater levels in the Mashhad mega city. The significant decline in groundwater level at a rate of 0.66 mm per year, coupled with changes in land cover, suggests that human activities are leading to over extraction.

In summary, the integrated approach of the WetSpass-M model, coupled with comprehensive spatial analysis and trend assessments, provides valuable insights into the intricate hydrological processes of the Mashhad catchment. Our study contributes to a deeper understanding of water balance dynamics, aiding in the formulation of informed water resource management strategies amidst evolving land-use patterns and climate variations. Our study has provided valuable insights into the recharge dynamics of the study area. The observed trend changes in recharge are subject to certain limiting conditions, including the spatiotemporal variability of precipitation, the hydrogeological characteristics of the study area, and the impact of human activities on groundwater resources. Therefore, the results may not be applicable to all regions or under all circumstances. Nonetheless, our findings highlight the critical importance of sustainable water management practices to mitigate the impact of human activities on groundwater resources. Further research is needed to better understand the complex interactions between climate, land use, and groundwater resources and to develop effective strategies for sustainable water management in arid and semi-arid regions.

The authors appreciate the Iranian Meteorological Organization (IRIMO) and Iran Water Resources Company for providing the observational daily hydro-meteorological and hydrogeological data of the study area. We also are grateful to the Department of Civil, Environmental, Architectural Engineering and Mathematics, University of Brescia, Italy for providing scientific support for this research.

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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