Morphometric analysis plays a crucial role in the effective management of the surface as well as subsurface water resources. In the present study, ASTER DEM and Survey of India toposheets were utilized to characterize various morphological aspects of the Nandhour-Kalish watershed in Uttarakhand, India. In total, 12 sub-watersheds were determined using the SWAT 2012 in ArcGIS v10.4.1 and were coded as SW1–SW12. For each sub-watershed, 17 morphometric indices were estimated using Principal Component Analysis to determine the most influential indices or criteria of morphometric parameters in the context of the hydro-sedimentological response. The relative influence of identified criteria parameters was assessed using the Criteria Importance for Intercriteria Correlation (CRITIC) method. The developed sub-watersheds were then prioritized towards the prompt implementation of soil and water conservation measures. The results indicate that three sub-watersheds (SW2, SW3, and SW4) were categorized under a very high class of priority, while three (SW1, SW5, and SW6) were indexed under a high priority class. The study is an attempt to ease out the morphometry-based prioritization, which otherwise is relatively complex due to the availability of a large number of input parameters and ambiguity concerning parameter selection for the process of prioritization.

  • Watershed prioritization in the Nandhour-Kalish River watershed, Uttarakhand, India.

  • Identification of the most influential parameters for surface runoff and sediment yield.

  • Watershed prioritization based on the CRITIC MCDM method with PCA for data reduction.

  • Proposing a standard operating procedure for morphometric analysis.

  • Sub-watershed priorities observed to be consistent with auxiliary information.

Watersheds play a crucial role in supporting ecosystems, agriculture, and anthropogeny. This makes the prioritizing of watersheds an essential undertaking for the effective and sustainable management of drainage systems and the allocation of their natural resources (Singh et al. 2021). This prioritization becomes vital for nations experiencing challenges like water scarcity, climate change impacts, and escalating demand for natural resources. The significance of prioritizing watersheds lies in the efficient allocation of limited water resources, concentrating efforts on areas pivotal to overall watershed health and functionality (Randhir et al. 2001; Alilou et al. 2019).

The hydrological behaviour of a river basin is intricately associated with the physiographic characteristics of the drainage basin, including factors like its size, shape, length, slope, and drainage density, among several others (Shekar et al. 2023). Notably, morphometric analysis is an essential process for gaining critical insights into the dynamics of a watershed. Morphometry also plays a vital role in comprehending how drainage characteristics interact with various hydrological processes, such as infiltration, runoff, erosion, sediment transport. Analyzing the morphometrics of river basins is a fundamental approach to studying how these basins respond to their topographical features (Sharma et al. 2023). Statistical methods are commonly employed in hydrological research to investigate data for understanding the relationship between different hydro-meteorological parameters (Mahmoodzada et al. 2023). Watershed prioritization involves the systematic ranking of sub-watersheds within a larger drainage system depending on the need for prioritization like implementation of soil and water conservation measures, etc. (Gaikwad & Bhagat 2017). Various methods utilize specific criteria to determine the priority of different watersheds, considering factors such as hydrological characteristics, land use, soil erosion potential, water quality, biodiversity, and socio-economic aspects (Siddiqui et al. 2020). In the past, a multitude of studies have investigated morphometry-based prioritization of watersheds using Remote Sensing (RS), Geographical Information System (GIS), and topographic data (Deal et al. 1997; Chopra et al. 2005; Mishra et al. 2017; Arshed et al. 2023; Shekar et al. 2023).

In India, the escalating trends of population growth, urbanization, industrial expansion, agricultural activities, etc. (Varade et al. 2023) have resulted in a surging demand for water resources (Tiwari & Kushwaha 2021). In India, the world's most populated country, the state of Uttarakhand holds immense significance, particularly due to its geography hosting some of the major glaciers in the Indian Himalayas, which contribute to some of the major river channels in the country. Studies have indicated the declining status of the water resources in the state of Uttarakhand. Kumar et al. (2021) assessed the soil erosion status and watershed prioritization in the Nainital district of Uttarakhand, India, based on the Revised Universal Soil Loss Equation integrated with RS data. Sarkar et al. (2022) studied the Pindar River watershed based on morphometric analysis of 13 parameters using various Multi-Criteria Decision-Making (MCDM) techniques. According to Singh et al. 2012, the Kumaun and Garhwal regions of the state are facing critical challenges associated with drinking water supply in quality and quantity. Singh & Kansal (2023) evaluated various morphometric, semi-empirical methods and hydrologic methods for extreme events of soil erosion in the Alaknanda basin of Uttarakhand. They investigated 13 morphometric parameters for 12 sub-watersheds in the region. The state of Uttarakhand is historically known to be prone to extreme rainfall events (Singh et al. 2023b).

Evidently, as advocated in previous studies, with the inclusion of statistical methods and MCDM approaches within a GIS framework, the process of prioritization has become increasingly simplified. Such platforms now offer and account for the ascendancy of one morphometric parameter over the other depending upon the characteristics of the study area (Ahmad 2018; Ahmad & Verma 2018; Sangma & Guru 2020; Sarkar et al. 2022). Many studies have demonstrated the competence of statistical approaches like correlation analysis, Principal Component Analysis (PCA), etc., when used in the context of parameter selection (Siddiqui et al. 2020; Das et al. 2021). Traditional methods for assessing morphological parameters such as field reconnaissance and hydrological surveys/channel measurements are often time-consuming, costly, and manpower-intensive. In contrast, the emergence of RS and GIS technologies has significantly simplified, reduced costs, and accelerated these assessments, making them substantially more efficient and accessible (Aher et al. 2014). The RS data provide means to evaluate the land use surrounding the hydrological channels and satellite-based elevation products to simplify the understanding of the drainage channels and flow characteristics (Chitra et al. 2011; Kumar et al. 2021). GIS tools based on such RS products have thus been widely used with MCDM techniques for watershed management and prioritization (Chopra et al. 2005; Chowdary et al. 2013; Ahmad & Verma 2018).

The assignment of comparative weights to input parameters for watershed prioritization has been carried out using various MCDM techniques (Jaiswal et al. 2015). These techniques include methods such as the Simple Additive Weighting (SAW), VIekriterijumsko KOmpromisno Rangiranje (VIKOR), Best–Worst Method (BWM), Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), Game Theory Algorithm (GTA), and many more (Sarkar et al. 2022; Nasiri Khiavi et al. 2023). This diverse set of MCDM techniques ensures a comprehensive and well-informed approach to prioritizing watersheds (Akdogan & Guven 2023). The integration of the diverse criteria establishes a robust framework for watershed prioritization, contributing to holistic watershed management practices. This approach ensures a thorough consideration of various factors, leading to effective and informed decision-making (Chowdary et al. 2013). However, due to the availability of a large number of morphometric parameters in decision-making, the computational procedure becomes complex and expensive. Subsequently, it is necessary to initially determine the most influencing parameters for a target drainage system and then apply a suitable MCDM technique for addressing the relative importance among the identified parameters. In this context, the use of statistical methods can prove advantageous, especially in input data reduction for the MCDMs. Additionally, the absence of any standard procedure in the watershed prioritization process makes it relatively difficult for the end users over which statistical and MCDM method to choose for the available inventory.

The Nandhour-Kalish watershed is one of the relatively ungauged watersheds in the state of Uttarakhand, with limited ground stations for ground water monitoring, particularly in the high-altitude regions. The river contributes to the Nanakmatta dam near Sitarganj, Udhamsingh Nagar district; the dam outlet connects to the Deoha river in Pilibhit, Uttar Pradesh, which further connects with the Ghaghra River, a tributary of the great Ganga River. Subsequently, the watershed holds critical significance, being one of the primary water resources in the districts of Champawat, Udhamsingh Nagar, Nainital, and others. Considering that limited studies exist in the literature describing the status of the Nandhour-Kalish watershed, this study makes an attempt towards the development of a canonical procedure for sub-watershed prioritization of this watershed in a GIS-assisted framework using both statistical and MCDM techniques. The structure of this paper unfolds in two main sections: first, it strives to develop a Standard Operating Procedure (SOP) for selecting most influencing morphometric parameters or criteria parameters in regards to generation of surface runoff and sediment yield through the use of a data reduction technique called PCA. Second, the paper explores the application of Criteria Importance for Intercriteria Correlation (CRITIC) MCDMs to assign the relative priority among identified criteria indices and overall computation of priority weights for the developed sub-watersheds. This categorization ensures a lucid and organized presentation, centring on SOP development and the effective use of CRITIC MCDM for watershed prioritization.

The Nandhour-Kalish watershed of the Kumaon division of the Uttarakhand was selected as the study area for reasons discussed earlier. The watershed comprises diverse geographical features, encompassing the Terai and Bhabhar regions of Udham Singh Nagar and Nainital districts as well as the hilly terrains of Champawat and Nainital districts (Figure 1). The Nandhour-Kalish River, a spring-fed river system, holds substantial importance as a water resource in the region, serving crucial purposes such as irrigation and domestic use. However, the health of the watershed is challenged by issues such as diminishing water flows during dry periods and fluctuating precipitation patterns. Moreover, the monitoring of the Nandhour-Kalish River watershed is particularly vital due to its classification as a largely ungauged watershed, implying a limited or no availability of ground data. Subsequently, the necessity for RS and geospatial tools for a comprehensive understanding of this watershed has been significantly emphasized in previous studies (Gururani et al. 2023).
Figure 1

Geographical location and topography of the Nandhour-Kalish watershed in the state of Uttarakhand, India.

Figure 1

Geographical location and topography of the Nandhour-Kalish watershed in the state of Uttarakhand, India.

Close modal

The headwaters of the Nandhour-Kalish watershed can be traced to the Kundal River Forest located in the Champawat district of Uttarakhand. The spatial extent of the watershed ranges from latitude 28°53ʹN to 29°23ʹN and longitude 78°45ʹE to 80°08ʹE. The topography of the watershed varies significantly, ranging from 132 m above mean sea level in the flat foothill areas to 2,084 m in high mountains. The watershed areal coverage is approximately 474.09 km2, with a periphery perimeter of 276.21 km. The average annual rainfall of the study area is 1,433.4 mm, with minimum temperatures ranging from 3 to 5 °C and maximum temperatures ranging from 39 to 41 °C, respectively (Gururani et al. 2023).

Datasets and tools

The study employs the Advanced Spaceborne Thermal Emission and Reflection Radiometer Global Digital Elevation Model (ASTER GDEM) version 3.0 and Survey of India (SoI) toposheets (Toposheet no. 53O11, 53O12, 53O15, 53O16, 53P9, and 53P13 of scale 1:50,000) datasets for the analysis and estimation in the context of morphometry-based prioritization. Figure 1 shows the topography of the Nandhour-Kalish watershed based on ASTER GDEM. The DEM product is used in further morphometric analysis by extensively utilizing the ArcGIS hydrology tools in conjunction with the Soil and Water Assessment Tool (SWAT) 2012. SWAT was only used in the development of the sub-watershed using the ‘watershed delineator’ tab. Only the watershed data were taken from the SWAT interface towards the estimation of morphometric parameters as the sub-watershed level, as in previous studies (Rani et al. 2022; Gururani et al. 2023). Additionally, PCA was used for the selection of the most influential morphometric parameter and was executed using the IBM SPSS Statistics 19 tool. The advanced automated statistical analysis features of the software were leveraged for a detailed exploration of data patterns and structures, contributing towards improving the overall understanding of the dataset, while effectively excluding any potential outliers or irregularities.

Methods

The processes for the watershed prioritization include the development of suitable sub-watersheds along with the determination of flow and stream parameters. These are used in the assessment of the morphometric parameters, which can be categorized under three aspects: ‘Linear’, ‘Areal’, and ‘Relief’. The morphometric analysis on selection of criteria indices using these parameters was sequentially conducted using the PCA, and for the assessment of the criteria parameters, relative weights were computed using the CRITIC MCDM approaches. Figure 2 illustrates the comprehensive flowchart of the watershed prioritization process. For the morphometric analysis, various morphometric indices (discussed later) were estimated using the data from the attribute table of the watershed in the ‘SWAT delineator’ interface. ASTER GDEM version 3 along with SoI toposheets at a 1:50,000 scale were used for the development of the stream network, which was used to define the outlets of the sub-watershed manually. A total of 12 sub-watersheds were determined for the study area, which were labelled from SW1 to SW12, sequentially. Based on the sub-watershed delineation, 17 morphometric parameters (Supplementary material, Table S1) were estimated, as follows.
Figure 2

The general workflow for watershed prioritization for the adopted methodology using the PCA and the CRITIC approaches.

Figure 2

The general workflow for watershed prioritization for the adopted methodology using the PCA and the CRITIC approaches.

Close modal

The linear parameters included the following:

  • 1. Basin length (Lb),

  • 2. Stream number (Nu),

  • 3. Average stream length (u),

  • 4. Bifurcation ratio (Rb),

  • 5. Stream length ratio (Rl).

The areal indices included the following:

  • 6. Watershed area (A),

  • 7. Drainage density (Dd),

  • 8. Stream frequency (Fs),

  • 9. Texture ratio (RT),

  • 10. Elongation ratio (Re),

  • 11. Form factor (Ff),

  • 12. Drainage texture (T),

  • 13. Length of overland flow (Lg)

Relief parameters included the following:

  • 14. Relief ratio (RR)

  • 15. Ruggedness no. (Rn)

  • 16. Hypsometric Integral (HI)

  • 17. Slope (S)

Data reduction through PCA

PCA is a widely employed dimensionality reduction method in statistics and machine learning (Maćkiewicz & Ratajczak 1993). PCA has been widely used for handling high-dimensional datasets, aiming to condense the data while preserving the majority of its variability (Meshram & Sharma 2017; Siddiqui et al. 2020; Tiwari & Kushwaha 2021; Kumar et al. 2022; Sharma et al. 2023). PCA, also commonly referred to as the Principal Component Transform, reduces dimensionality or selects the most significant features by transforming the original variables into a set of uncorrelated variables referred to as principal components (PCs) (Wold et al. 1987). These components are linear combinations of the initial variables and are organized based on the variance they individually define. In essence, PCA provides a streamlined representation of the data, enabling a more efficient analysis while retaining essential information (Maćkiewicz & Ratajczak 1993). In this study, the estimated morphometric parameters were imported to IBM SPSS Statistics 19 for the identification of the most influencing parameters (later referred to as criteria indices) using PCA.

The IBM SPSS Statistics 19 tool executes PCA in a semi-automated manner, enabling users to interpret extensive datasets into a concise set of components (Kassambara 2017). By developing a covariance matrix, PCA quantifies the relationship between input variables. While the number of development PCs are equal to the number of input variables, not all of the developed PCs are essential for data interpretation and subsequent reduction. To determine the most informative PCs, a scree plot is developed, showing eigenvalues against the PCs. A significant change in slope suggests the break towards the identification of candidate PCs. These PCs cumulatively account for explaining 70–90% of the variance in the input dataset (Jolliffe 2002). Following this, the pattern matrix, which is an oblique rotated factor solution, filters criteria parameters. It assesses how well inputs load on developed PCs. Morphometric indices with loading scores ≥ 0.8 are selected from legitimate PCs, resulting in the selection of 10 morphometric parameters for subsequent subjection to CRITIC MCDM towards the determination of their relative weights.

Assessment through CRITIC

CRITIC is a decision-making and multi-criteria analysis method designed to assess and prioritize alternatives using a predefined set of criteria. This approach aids in determining the significance of each criterion and gaining insights into the interrelationships or correlations among them (Diakoulaki et al. 1995). By evaluating both the importance and interactions of criteria, CRITIC provides a comprehensive framework for decision-makers to prioritize alternatives effectively in complex decision scenarios for the assessment of relative weights.

For utilizing CRITIC, at the initial step, most (Xjmost) and least (Xjleast) effective parameters from the set of criteria indices (most influential morphometric parameters) were identified. The criteria indices (Supplementary material, Tables S1 and S2) with large values have a greater potential to generate runoff, and soil erosion is classified as most influential and vice-versa. However, some parameters such as length of overland flow (Lg) are less influential with larger values. A Normalized Decision Matrix (NDM) is prepared from the input criteria indices table using Equation (1).
(1)
where Xj is the value in the individual cell of NDM. The NDM is used to filter the most influential criterion indices, which are significant in deriving the relative watershed priority.
The Standard Deviation (SD) and Pearson's coefficient of correlation (rjk) are computed for the NDM to evaluate the inter-relationship between the indices. Subsequently, a Symmetric Matrix (SM) is developed from the correlation values using Equation (2).
(2)

The individual SM values, i.e., SMi values corresponding to each parameter, were then added to estimate Symmetric Matrix Values (SMVi), which mathematically multiplied with SD provide the Criteria Information (Cj) of the parameter. The various Cj values are then normalized to get the relative ratings, Rj, of each parameter. Using these ratings and the normalized values of criteria indices, a score, sub-watershed scores (Wj), was generated for each sub-watershed. These sub-watershed scores were then categorized into four classes using a quartile-based approach (as follows) to derive the final relative priority map using the ArcGIS Interface:

  • 1. Less than the first quartile (Q1) was labeled as low priority,

  • 2. Greater than or equal to Q1 but less than the second quartile (Q2) was placed under moderate,

  • 3. Greater than or equal to Q2 but less than the third quartile (Q3) was categorized as high,

  • 4. Greater than Q3 was tallied under very high classes of relative priority.

Morphometric analysis

The Nandhour-Kalish watershed is determined to be a fifth-order watershed, with a total stream length of 833.06 km, a basin length of 43.43 km, and a basin width of 10.92 km with a dendritic and sub-dendritic type drainage pattern. Of the drainage pattern of the identified 12 sub-watersheds, SW11 has the largest geographic area (76.06 km2), while SW1 has the least (29.09 km2). The numeric values of morphometric parameters are presented in Table 1.

Table 1

Morphometric parameters for the developed sub-watersheds

SWLb (km)Nuu (km)RlRbA (km2)Dd (/km)Fs (/km2)RT (/km)ReFfT (/km3)Lg (km)RR (/km)RnHIS (%)
SW1 8.90 91 0.48 1.225 2.396 29.09 1.51 3.13 2.931 0.684 0.367 4.73 0.331 0.137 1.844 0.414 54.35 
SW2 10.17 115 0.46 2.236 2.171 36.81 1.45 3.12 2.774 0.673 0.356 4.52 0.346 0.144 2.112 0.412 57.10 
SW3 9.26 93 0.54 2.508 3.544 31.19 1.60 2.98 2.187 0.681 0.364 4.77 0.313 0.143 2.110 0.397 55.81 
SW4 12.72 154 0.56 1.763 2.878 54.53 1.59 2.82 2.914 0.655 0.337 4.50 0.314 0.116 2.354 0.352 49.22 
SW5 10.00 111 0.53 1.424 2.441 35.72 1.66 3.11 2.954 0.674 0.357 5.16 0.301 0.122 2.022 0.301 47.17 
SW6 10.41 94 0.64 2.004 2.856 38.33 1.57 2.45 2.413 0.671 0.354 3.86 0.318 0.121 1.979 0.260 42.27 
SW7 9.59 103 0.52 1.550 2.685 33.16 1.63 3.11 2.279 0.678 0.361 5.06 0.307 0.122 1.897 0.246 37.78 
SW8 9.86 99 0.67 2.105 2.633 34.90 1.89 2.84 1.898 0.676 0.359 5.37 0.264 0.116 2.165 0.188 28.07 
SW9 9.50 95 0.74 2.583 2.864 32.66 2.14 2.91 1.450 0.679 0.362 6.22 0.234 0.013 0.259 0.279 5.22 
SW10 9.45 95 0.68 2.402 3.050 32.32 2.00 2.94 1.564 0.679 0.362 5.88 0.250 0.004 0.076 0.458 4.72 
SW11 15.36 280 0.56 1.247 3.108 76.06 2.05 3.68 2.806 0.641 0.322 7.54 0.244 0.004 0.127 0.293 4.87 
SW12 10.73 128 0.58 4.690 3.006 40.41 1.83 3.17 2.456 0.669 0.351 5.81 0.273 0.003 0.049 0.458 4.63 
SWLb (km)Nuu (km)RlRbA (km2)Dd (/km)Fs (/km2)RT (/km)ReFfT (/km3)Lg (km)RR (/km)RnHIS (%)
SW1 8.90 91 0.48 1.225 2.396 29.09 1.51 3.13 2.931 0.684 0.367 4.73 0.331 0.137 1.844 0.414 54.35 
SW2 10.17 115 0.46 2.236 2.171 36.81 1.45 3.12 2.774 0.673 0.356 4.52 0.346 0.144 2.112 0.412 57.10 
SW3 9.26 93 0.54 2.508 3.544 31.19 1.60 2.98 2.187 0.681 0.364 4.77 0.313 0.143 2.110 0.397 55.81 
SW4 12.72 154 0.56 1.763 2.878 54.53 1.59 2.82 2.914 0.655 0.337 4.50 0.314 0.116 2.354 0.352 49.22 
SW5 10.00 111 0.53 1.424 2.441 35.72 1.66 3.11 2.954 0.674 0.357 5.16 0.301 0.122 2.022 0.301 47.17 
SW6 10.41 94 0.64 2.004 2.856 38.33 1.57 2.45 2.413 0.671 0.354 3.86 0.318 0.121 1.979 0.260 42.27 
SW7 9.59 103 0.52 1.550 2.685 33.16 1.63 3.11 2.279 0.678 0.361 5.06 0.307 0.122 1.897 0.246 37.78 
SW8 9.86 99 0.67 2.105 2.633 34.90 1.89 2.84 1.898 0.676 0.359 5.37 0.264 0.116 2.165 0.188 28.07 
SW9 9.50 95 0.74 2.583 2.864 32.66 2.14 2.91 1.450 0.679 0.362 6.22 0.234 0.013 0.259 0.279 5.22 
SW10 9.45 95 0.68 2.402 3.050 32.32 2.00 2.94 1.564 0.679 0.362 5.88 0.250 0.004 0.076 0.458 4.72 
SW11 15.36 280 0.56 1.247 3.108 76.06 2.05 3.68 2.806 0.641 0.322 7.54 0.244 0.004 0.127 0.293 4.87 
SW12 10.73 128 0.58 4.690 3.006 40.41 1.83 3.17 2.456 0.669 0.351 5.81 0.273 0.003 0.049 0.458 4.63 

SW: Sub-watershed.

Linear aspects

The basin length of the Nandhour-Kalish watershed is determined to range from 15.36 km (SW11) to 8.90 (SW1). The basin hosts 1,481 streams, with the number of first-, second-, third-, fourth-, and fifth-order streams as 828, 361, 205, 86, and 1, respectively. The drainage map illustrated in Figure 3 delineates that the streams of lower orders are concentrated at relatively higher and mid-elevations, thus resulting in a distribution that may cause conditions of flash flooding in events of heavy rainfall in these parts (Chitra et al. 2011; Singh et al. 2023b). Flash flooding is a critical issue in the Himalyan regions often triggered by glacial lake outburst flows (Singh et al. 2023a). Among the sub-watersheds, Nu varies between 91 (SW1) and 280 (SW11), while u ranges from 0.46 km (SW2) to 0.74 km (SW9). The bifurcation ratio (Rb) is a decisive dimensionless parameter, especially in the context of discerning the tectonic attributes of a watershed (Gajbhiye et al. 2014). In this study, Rb is estimated using Horton's law of stream numbers (Horton 1945). For the entire study area, the Rb value is estimated at 4.424, while for the sub-watersheds, it ranged between 2.171 (SW2) and 3.544 (SW3). The relatively large values of Rb suggest little control of geological structures over the drainage attributes (Rai et al. 2017). Bogale (2021) pointed out that the large values of Rb hold greater significance for flash flooding under the events of excessive rainfall. The stream length ratio, Rl, was estimated using Horton's law of stream lengths (Horton 1945) and for the area of interest, its value was determined to be 2.704. For the sub-watersheds, the same varies between 1.225 (SW1) and 4.690 (SW12).
Figure 3

Drainage map of the Nandhour-Kalish watershed.

Figure 3

Drainage map of the Nandhour-Kalish watershed.

Close modal

Areal aspects

The drainage density in a way defines the degree of closeness among the stream channel and affects the infiltration, time to peak, as well as the volume of runoff at the outlet of any drainage system. Typically, large values of Dd correspond to a lower infiltration (Choudhari et al. 2018). The numeric value of Dd for the Nandhour-Kalish watershed is observed to be 1.76 km/km2, placing the watershed under the class of a very coarse drainage texture (Smith 1950). For the sub-watersheds, the same ranges from 1.45 km/km2 (SW2) to 2.14 km/km2 (SW9) are observed.

Length of overland flow (Lg), which is half of the reciprocal of drainage density, acts as an index indicative of the estimated distance traversed by sheet flow water before transitioning into channelized flow. It mostly depends on the surface slope (Horton 1945). Its lower values reflect more sheet erosion, while higher values correspond to greater channel erosion (Das et al. 2021). For the study area, its value was estimated at 0.285 km, while for the sub-watersheds, the same fluctuated between 0.234 km (SW9) and 0.346 km (SW2).

The values of Fs and RT for the study area are estimated at 3.12/km2 and 5.49/km, respectively. At the sub-watershed scale, these parameters range from 2.45 (SW6) to 3.68 (SW11)/km2 and 1.45 (SW9) to 2.95 (SW5)/km, respectively. Usually, large values of these indices suggest high slope and low infiltration characteristics (Farhan et al. 2017).

Re and Ff for the Nandhour-Kailash watershed were estimated at 0.566 and 0.995, respectively. According to the Strahler (1952) classification, the Nandhour-Kalish watershed is observed to have an elongated shape (with a Re value less than 0.7), which indicates that the peak flows shall be relatively small for rainfall events of a duration less than the time of concentration. In regards to the sub-watersheds, Re and Ff are in the range from 0.641 (SW11) to 0.684 (SW1) and 0.681 (SW1) to 0.776 (SW11), respectively.

The drainage texture, T, also referred to as the infiltration number, reflects on the relative channel spacing in a fluvial dissected terrain. The greater the value of T, the greater the runoff (Smith 1950). Moreover, it is a function of climate, land use, soil, relief, and developmental stage of the drainage area. For the Nandhour-Kalish watershed, T is estimated to be 5.49/km3, while for the sub-watersheds, it varies from 3.86 (SW6) to 7.54 (SW11)/km3.

Relief aspects

The basin relief, which is the difference between its highest and lowest elevations, of the Nandhour-Kailash watershed is 1,951 m, while for the sub-watersheds, it digresses from 1,478 m (SW4) to 27 m (SW12). As a reflection of denudational characteristics, large relief with small basin length represents higher gradients (Sharma et al. 2015). The RR is a measure of the overall steepness and an indicator of the intensity of the erosion processes; the RR for the Nandhour-Kailash watershed was estimated at 0.706 km/km2, while for the sub-watersheds, it was approximated from 0.003 (SW12) to 0.144 (SW2), respectively. Slope expresses the average weighted gradient and is critical in governing the infiltration as it directly influences the contact time between the overland flow and the soil. Furthermore, it plays a key role in the selection of appropriate water and soil conservation measures (Gaikwad & Bhagat 2017). For the sub-watershed, the slope range is 57.10% (SW2) to 4.63% (SW12).

The ruggedness number, a dimensionless parameter, asserts the cumulative effect of length and gradient attributes (Aher et al. 2014). Larger values of Rn suggest more potentiality towards soil erosion, whereas lower values articulate structural complexity. For the study area, Rn was estimated at 0.044, while for the sub-watersheds, the observed range was 0.001 (SW10, SW11, and SW12) to 0.039 (SW1), respectively. The HI parameter represents the development stage of the watershed. Additionally, HI also gives acumen to the activity strength in the geologic structures of a drainage system. Strahler (1964) defined a classification for the watershed development stage into three categories based on their HI values. For the Nandhour-Kailash watershed, HI was estimated at 0.481, representing an equilibrium or mature stage. For the sub-watersheds, the same wavered from 0.188 (SW8), representing an old/Monadnock stage, to 0.458 (SW10), suggesting a mature/equilibrium stage of development.

Criteria indices using PCA

For the identification of the criteria indices, the computed 17 morphometric parameters are subjected to PCA through an automated tool IBM SPSS Statistics 19. As the number of input parameters is 17, a maximum of 17 PCs are generated, though not all of them are meaningful for the data interpretation process. To identify the significant PCs, a scree plot (eigenvalue vs PCs), which shows the significant information observed in the PCs, was assessed, as shown in Figure 4(a). From the plot, one can interpret that the first three PCs have a relatively large eigenvalue, with PC1, PC2, and PC3 explaining the 45.139, 29.362, and 10.854% variances (cumulatively 85.356%), respectively, in the input data. Jolliffe (2002) suggested that PCs that combinedly account for 70–80% data variance can be kept for further data interpretation; hence, PC1 to PC3 are selected. The SPSS tool is then again re-run by fixing the number of factors to three and with the method for oblique (nonorthogonal) rotation, which allows an oblique factor rotation to be produced. The oblique rotation is often used in multivariate systems for factor analysis, particularly when several variables are correlated.
Figure 4

(a) Scree plot from the PCA and (b) loading of pattern matrix following PCA.

Figure 4

(a) Scree plot from the PCA and (b) loading of pattern matrix following PCA.

Close modal

To identify criteria indices from the PCA, the pattern matrix with parameter loadings as depicted in Table 2 was utilized. Figure 4(b) illustrates the stacked column chart of parameter loadings. A threshold absolute loading value greater than 0.8 is used for the selection of criteria indices. From Table 2, it is evident that parameters Dd and u load quite well in PC1, while loadings of Lg, S, and RR are negative. This suggests that the set of these parameters tends to change together, though it is not always statistically correct. Similarly, A, Nu, and Lb have a positive loading in PC2, while Ff and Re displayed negative loadings. Subsequently, in PC3, HI discerns a positive loading value. This analysis resulted in the selection of 11 key input parameters as criteria indices, namely, Dd, u, Lg, S, RR, A, Nu, Lb, Ff, Re, and HI. A 35.29% reduction in the number of input parameters is obtained via the application of PCA.

Table 2

Communalities and pattern matrix from the PCA

ParametersCommunalitiesPrincipal components
PC1PC2PC3
Lg 0.960 −.964 −.116 0.148 
Dd 0.990 0.963 0.118 −.135 
S 0.920 −.938 −.133 −.086 
RR 0.554 −.872 −.205 −.257 
u 0.262 0.863 −.308 −.432 
Rn 0.973 −.823 −.135 −.390 
RT 0.960 −.794 0.592 0.201 
T 0.648 0.714 0.468 0.119 
Rb 0.902 0.484 0.079 0.073 
A 0.927 0.090 0.975 −.104 
Nu 0.930 0.118 0.974 0.008 
Lb 0.843 0.080 0.970 −.107 
Ff 0.963 −.061 −.958 0.100 
Re 0.956 −.054 −.957 0.113 
Fs 0.937 0.051 0.631 0.441 
HI 0.837 −.105 −.138 0.916 
Rl 0.949 0.414 −.343 0.535 
Var. explained by PCs (%) 45.139 29.362 10.854 
ParametersCommunalitiesPrincipal components
PC1PC2PC3
Lg 0.960 −.964 −.116 0.148 
Dd 0.990 0.963 0.118 −.135 
S 0.920 −.938 −.133 −.086 
RR 0.554 −.872 −.205 −.257 
u 0.262 0.863 −.308 −.432 
Rn 0.973 −.823 −.135 −.390 
RT 0.960 −.794 0.592 0.201 
T 0.648 0.714 0.468 0.119 
Rb 0.902 0.484 0.079 0.073 
A 0.927 0.090 0.975 −.104 
Nu 0.930 0.118 0.974 0.008 
Lb 0.843 0.080 0.970 −.107 
Ff 0.963 −.061 −.958 0.100 
Re 0.956 −.054 −.957 0.113 
Fs 0.937 0.051 0.631 0.441 
HI 0.837 −.105 −.138 0.916 
Rl 0.949 0.414 −.343 0.535 
Var. explained by PCs (%) 45.139 29.362 10.854 

Assessment of weights through CRITIC

Following the identification of criteria indices, the contention lies in assigning relative weights to the criteria indices with respect to each other. For this purpose, an MCDM approach named CRITIC is employed. Under CRITIC, Contrast Intensity (CI) and the Measurement of Conflict (MOC) are estimated. The computation of CI is based on the SD, with larger values corresponding to greater relative importance, while ‘rjk is used for the determination of a conflict created, with lower values of ‘rjk citing higher conflict and vice versa. Combinedly, CI and MOC are used to estimate the Rj of the input parameters. Supplementary material Tables S3 illustrates the NDM from CRITIC, while Supplementary material Table S4 illustrates the correlation matrix. From the criteria indices, for most of them, higher values represent larger potentialities towards the generation of surface runoff and erosion, except for Lg for which the case is vice versa. Supplementary material Table S5 depicts the SMVi, Cj, and Rj values for the input variables. Following the computation, it was observed that RR is assigned the greater Rj (13.3%), followed by S (12.93%), while the least was determined for Nu (7.5%).

Relative sub-watershed prioritization

Using the Rj values and the normalized values of criteria indices, individual scores (Wj) for each of the sub-watersheds are computed (depicted in Table 3). These were then arranged in ascending order and quartiles Q1 (7.534), Q2 (8.613), and Q3 (9.422) were estimated for the same. Sub-watersheds with Wj < Q1 are classified under low, Q1Wj < Q2 are categorized as moderate, Q2Wj < Q3 are placed under high, and Q3 < Wj are allocated to a very high class of relative priority. As a result, sub-watersheds SW9, SW10, and SW12 were classified under low; SW7, SW8, and SW11 were placed under moderate; SW1, SW5, and SW6 were categorized under high; and SW2, SW3, and SW4 are allocated to very high classes of relative priority, as shown in Figure 5. These classes account for 22.18, 30.32, 21.71, and 25.79% of the geographic area of the watershed, respectively. Table 3 illustrates the normalized criteria parameters and sub-watershed scores, and Supplementary material Tables S2 shows the computation of the criteria indices with the most and least effective components.
Table 3

Sub-watershed scores and their respective relative priority class

SWDduLgSRRANuLbFfReHIWjClass
SW1 0.609 0.562 0.792 1.796 1.748 0.461 0.468 0.534 0.729 0.717 0.960 9.3751 High 
SW2 0.582 0.538 0.828 1.886 1.831 0.584 0.592 0.610 0.706 0.705 0.955 9.8186 Very high 
SW3 0.644 0.623 0.749 1.844 1.818 0.495 0.479 0.556 0.722 0.713 0.920 9.5619 Very high 
SW4 0.642 0.656 0.751 1.626 1.482 0.865 0.793 0.763 0.669 0.687 0.816 9.7487 Very high 
SW5 0.668 0.621 0.721 1.559 1.554 0.566 0.571 0.600 0.709 0.707 0.698 8.9752 High 
SW6 0.634 0.746 0.760 1.397 1.540 0.608 0.484 0.625 0.702 0.703 0.602 8.8006 High 
SW7 0.656 0.609 0.735 1.248 1.549 0.526 0.530 0.575 0.716 0.710 0.570 8.4255 Moderate 
SW8 0.763 0.776 0.632 0.927 1.478 0.553 0.509 0.592 0.713 0.708 0.436 8.0881 Moderate 
SW9 0.862 0.855 0.559 0.172 0.162 0.518 0.489 0.570 0.718 0.711 0.646 6.2632 Low 
SW10 0.805 0.791 0.599 0.156 0.051 0.512 0.489 0.567 0.719 0.711 1.062 6.4628 Low 
SW11 0.826 0.647 0.584 0.161 0.051 1.206 1.441 0.922 0.640 0.671 0.679 7.8279 Moderate 
SW12 0.738 0.673 0.653 0.153 0.032 0.641 0.659 0.644 0.697 0.701 1.062 6.6526 Low 
SWDduLgSRRANuLbFfReHIWjClass
SW1 0.609 0.562 0.792 1.796 1.748 0.461 0.468 0.534 0.729 0.717 0.960 9.3751 High 
SW2 0.582 0.538 0.828 1.886 1.831 0.584 0.592 0.610 0.706 0.705 0.955 9.8186 Very high 
SW3 0.644 0.623 0.749 1.844 1.818 0.495 0.479 0.556 0.722 0.713 0.920 9.5619 Very high 
SW4 0.642 0.656 0.751 1.626 1.482 0.865 0.793 0.763 0.669 0.687 0.816 9.7487 Very high 
SW5 0.668 0.621 0.721 1.559 1.554 0.566 0.571 0.600 0.709 0.707 0.698 8.9752 High 
SW6 0.634 0.746 0.760 1.397 1.540 0.608 0.484 0.625 0.702 0.703 0.602 8.8006 High 
SW7 0.656 0.609 0.735 1.248 1.549 0.526 0.530 0.575 0.716 0.710 0.570 8.4255 Moderate 
SW8 0.763 0.776 0.632 0.927 1.478 0.553 0.509 0.592 0.713 0.708 0.436 8.0881 Moderate 
SW9 0.862 0.855 0.559 0.172 0.162 0.518 0.489 0.570 0.718 0.711 0.646 6.2632 Low 
SW10 0.805 0.791 0.599 0.156 0.051 0.512 0.489 0.567 0.719 0.711 1.062 6.4628 Low 
SW11 0.826 0.647 0.584 0.161 0.051 1.206 1.441 0.922 0.640 0.671 0.679 7.8279 Moderate 
SW12 0.738 0.673 0.653 0.153 0.032 0.641 0.659 0.644 0.697 0.701 1.062 6.6526 Low 
Figure 5

A schematic illustration of the relative priority map for the Nandhour-Kalish watershed with precipitation trends in the different regions of the watershed under various priorities and corresponding drought category as per Chuphal et al. (2024).

Figure 5

A schematic illustration of the relative priority map for the Nandhour-Kalish watershed with precipitation trends in the different regions of the watershed under various priorities and corresponding drought category as per Chuphal et al. (2024).

Close modal

The minimum value of Wi was observed to be 6.2632 for SW9, and the maximum value was observed to be 9.8186 for SW2. Subsequently, these two sub-watersheds represent the regions requiring least and immediate water conservation practices in their observed priority classes for the Nandhour-Kalish watershed. Interestingly, each of the four priority classes is observed to include three sub-watersheds. The entire watershed is covered by three primary regions of the Champawat district to the east, Nainital to the north-west, and Udham Singh Nagar to the south. The watershed receives high overall mean annual precipitation in excess of 1,300 mm, as per the rainfall data of the Indian Meteorological Department (IMD). We analyzed the precipitation trends for these regions, as shown in Figure 5. Due to the coarser spatial resolution (0.25 × 0.25°) of the IMD rainfall data, in some cases the sub-watersheds were merged in the assessment of the precipitation trends. Overall, it is observed that the sub-watersheds in the ‘very high’ and ‘high’ priority classes show a relatively significant declining trend of precipitation compared to the sub-watersheds in the ‘moderate’ and ‘low’ priority classes. The combined precipitation trend for SW4 and SW8 shows a significantly declining trend. Notably, here it indicates the dominance of the SW4 (‘very high’ priority) over SW8 (‘moderate’ priority). Subsequent trends for the other sub-watersheds, namely, SW10-12 (combined trend for SW10 and SW12), SW12, and SW11, show increasing trends of precipitation, indicating a relatively higher water availability for sub-watersheds in ‘low’ and ‘moderate’ priorities.

In a study by Chuphal et al. (2024), the drought conditions in India were investigated based on the z-scores corresponding to the standardized precipitation and evapotranspiration index. The seasonal state and district wise time series of the drought categories with these z-scores are available at https://indiadroughtatlas.in/. We analyzed these scores for the regions in the sub-watersheds that were available in this dataset, as shown in Figure 5. The approximate mean z-score for the regions in the sub-watersheds corresponding to the ‘very high’ and ‘high’ priorities in the Champawat and Nainital districts showed, in general, relatively much higher values of the mean z-score when compared with those in the Udham Singh Nagar district (regions corresponding to ‘low’ and ‘moderate’ priority classes). The excessive ground water extraction compared to recharge in the Nainital regions (Haldwani) in contrast to the Udham Singh Nagar (Sitarganj) also shows some agreement with the relative sub-watershed priorities (see Supplementary material, Figure S1).

Assessment of the relative priorities of the sub-watersheds

One of the primary challenges in effectively implementing and developing efficient water management practices is soil erosion. Uttarakhand (study area) is broadly divided into three physiographic regions: Tarai, Bhabhar (foothills), and the Shivalik's (outer Himalayas). According to George et al. (2021), in the Tarai region of Uttarakhand (which includes SW10, SW11, and SW12), the mean soil erosion rate was 7.45 t ha−1 yr−1, resulting in a total soil loss of 2.94 Mt yr−1. In the Bhabhar (foothills) region (which includes SW8, SW4, and SW6) of Uttarakhand, the mean soil erosion rate was 9.70 t ha−1 yr−1, leading to a total soil loss of 5.35 Mt yr−1. In the Shivalik's (outer Himalayas) region (which includes SW1, SW2, SW3, and SW5) of Uttarakhand, the mean soil erosion rate was 17.13 t ha−1 yr−1, resulting in a total soil loss of 7.48 Mt yr−1. It was observed that the overall mean erosion rate and total soil loss of the Ganga River basin were 22.22 t ha−1 yr−1 and 15.69 Mt yr−1, respectively. The comparatively higher mean soil loss rates observed in Shivaliks can be attributed to the higher rainfall rates, resulting in higher rainfall erosivity values. Altogether, more than 50% of the total soil loss from the entire study area is contributed by hilly physiographic regions (categorized in very high and high priority sub-watersheds). These observations agree with the relative watershed priority map for the Nadhour-Kalish River watershed.

Soil conservation practices take into consideration factors such as soil erodibility, commonly used to identify the ability of soils to resist erosion, based on their physical characteristics (Mahapatra et al. 2018). The topographic factor determines the influence of topography on soil and is computed using the gradient and length of slope at each grid observation location. Generally, the steeper the slope of the land, the greater the amount of soil loss by water. Soil erosion by water accelerates as the slope length increases due to a greater accumulation of runoff (Kumar et al. 2021). According to Mahapatra et al. (2018), the values of the K-factor and topographic factor observed in the Champawat region (covering SW1 and SW5), the Nainital region (covering SW2–SW4, SW6–SW8), and the Udham Singh Nagar region (covering SW9–SW12) were 3.22, 7.22, and 5.71%, respectively. In general, runoff occurs when there is an excess amount of water on a slope that cannot be absorbed into the soil or trapped on the surface. Low infiltration due to soil compaction, crusting, or freezing accelerates the amount of runoff over a terrain. The rainfall erosivity factor was observed to be 16.15% in the Champawat region, 9.36% in the Nainital region, and 5.78% in the Udham Singh Nagar region. It was noted that 9.36 and 5.78% of the area are affected by very slight and slight soil loss, respectively, mainly covering the Nainital and the Udham Singh Nagar districts. However, some portions of the moderately severe and moderate erosion classes occur in Nainital, Champawat, combining 7.37% for the hilly region and the Udham Singh Nagar region and 6.71% for the tarai region, respectively. Theoretically, these observations are consistent with the developed relative priority map developed in this study for the Nandhour-Kalish watershed, which also indicates relatively higher priorities for sub-watersheds in the hilly regions as compared to the tarai regions.

Watershed prioritization using MCDM techniques is pivotal in resource management and environmental conservation efforts. However, prioritizing sub-watersheds using morphometric indices has been challenging due to the problem of selection from a wide availability of a large number of morphometric parameters. Additionally, the absence of standard operating procedures often leaves investigators uncertain about which specific procedure to follow in watershed priority assessment. This uncertainty can be addressed by employing PCA and CRITIC in grouping morphometric parameters for watershed management, specifically focusing on the Nandhour-Kalish River watershed. Through MCDM techniques, which are widely used for watershed prioritization, decision makers can weigh the importance of each criterion and assess their impacts on watershed health and future sustainability. Subsequently, prioritization facilitates targeted interventions and investments in areas most vulnerable to degradation or in need of restoration. Moreover, MCDM empowers stakeholders to make informed decisions, fostering consensus-building and equitable distribution of resources among competing interests, especially in conditions where on ground hydro-meteorological data such as water yield and soil loss are unavailable, limiting applicability of hydrologic modeling. Ultimately, watershed prioritization using MCDM enhances the efficacy of conservation strategies, promotes resilience against environmental stressors, and supports long-term sustainability goals.

This study is an attempt to resolve this issue and develop a nimble procedure for sub-watershed prioritization using morphometric indices only. The presented study uses a statistical method (PCA) for identifying criteria morphometric indices from the set and an MDCM (CRITIC) for assessment of relative weights of the identified criteria variables. The results from the study suggest that morphometrically, approximately 47.49% of the geographic area of the watershed is under very high and high classes of relative priority in the context of runoff generation and soil erosion. The outputs from the deliberated study shall aid in the determination of regions with high erosion and runoff susceptibilities.

The importance of the integrated PCA-CRITIC approach lies in the sense that a user may input any number of morphometric indices, select priority parameters using the PCA, and then assess the relative weights of priority parameters using CRITIC. The conferred study is a pre-requisite before the implementation of any catchment conservation programme as it identifies sub-watersheds that require utmost attention within the study area. Subsequent facilitation of the optimal allocation of conservation and management interventions, especially in a resource-limited environment, is feasible.

The authors report no funding for this work.

All relevant data are available from an online repository or repositories. The 30 m ASTER DEM is freely available from the USGS at https://earthexplorer.usgs.gov/. The toposheets for the Nandhour-Kalish Watershed are available freely for Indian Citizens from the Survey of India at https://onlinemaps.surveyofindia.gov.in/FreeMapSpecification.aspx

The authors declare there is no conflict.

Alilou
H.
,
Rahmati
O.
,
Singh
V. P.
,
Choubin
B.
,
Pradhan
B.
,
Keesstra
S.
,
Ghiasi
S. S.
&
Sadeghi
S. H.
2019
Evaluation of watershed health using Fuzzy-ANP approach considering geo-environmental and topo-hydrological criteria
.
Journal of Environmental Management
232
,
22
36
.
Arshed
A. B.
,
Masood
M.
,
Zafar
M. A.
,
Nabi
G.
&
Iqbal
M.
2023
Effective management of the watershed in response to historical climate change using a GIS-based multi-criteria decision analysis (MCDA)
.
Journal of Water and Climate Change
14
(
9
),
3178
3202
.
Chitra
C.
,
Alaguraja
P.
,
Ganeshkumari
K.
,
Yuvaraj
D.
&
Manivel
M.
2011
Watershed characteristics of Kundah sub basin using remote sensing and GIS techniques
.
International Journal of Geomatics and Geosciences
2
(
1
),
311
.
Chopra
R.
,
Dhiman
R. D.
&
Sharma
P. K.
2005
Morphometric analysis of sub-watersheds in Gurdaspur district, Punjab using remote sensing and GIS techniques
.
Journal of the Indian Society of Remote Sensing
33
(
4
),
531
539
.
Choudhari
P. P.
,
Nigam
G. K.
,
Singh
S. K.
&
Thakur
S.
2018
Morphometric based prioritization of watershed for groundwater potential of Mula river basin, Maharashtra, India
.
Geology, Ecology, and Landscapes
2
(
4
),
256
267
.
Chowdary
V. M.
,
Chakraborthy
D.
,
Jeyaram
A.
,
Murthy
Y. V. N. K.
,
Sharma
J. R.
&
Dadhwal
V. K.
2013
Multi-criteria decision making approach for watershed prioritization using analytic hierarchy process technique and GIS
.
Water Resources Management
27
(
10
),
3555
3571
.
Chuphal
D. S.
,
Kushwaha
A. P.
,
Aadhar
S.
&
Mishra
V.
2024
Drought atlas of India, 1901–2020
.
Scientific Data
11
(
1
),
7
.
Das
B.
,
Singh
S.
,
Jain
S. K.
&
Thakur
P. K.
2021
Prioritization of sub-basins of gomti river for soil and water conservation through morphometric and LULC analysis using remote sensing and GIS
.
Journal of the Indian Society of Remote Sensing
49
(
10
),
2503
2522
.
Deal
C.
,
Edwards
J.
,
Pellman
N.
,
Tuttle
R. W.
&
Woodward
D.
1997
In Agriculture Handbook. M. R. Mattinson, S. Lovell, J. D. Massey, W. R. Pierce (eds.), No 590, USDA, Washington DC
.
Diakoulaki
D.
,
Mavrotas
G.
&
Papayannakis
L.
1995
Determining objective weights in multiple criteria problems: The critic method
.
Computers & Operations Research
22
(
7
),
763
770
.
Gajbhiye
S.
,
Mishra
S. K.
&
Pandey
A.
2014
Prioritizing erosion-prone area through morphometric analysis: An RS and GIS perspective
.
Applied Water Science
4
(
1
),
51
61
.
Gururani
D. M.
,
Kumar
Y.
,
Abed
S. A.
,
Kumar
V.
,
Vishwakarma
D. K.
,
Al-Ansari
N.
,
Singh
K.
,
Kuriqi
A.
&
Mattar
M. A.
2023
Mapping prospects for artificial groundwater recharge utilizing remote sensing and GIS methods
.
Water
15
(
22
),
3904
.
Jaiswal
R. K.
,
Ghosh
N. C.
,
Lohani
A. K.
&
Thomas
T.
2015
Fuzzy AHP based multi crteria decision support for watershed prioritization
.
Water Resources Management
29
(
12
),
4205
4227
.
Jolliffe
I. T.
2002
Choosing A Subset of Principal Components or Variables
.
Springer New York
,
New York, NY
, pp.
111
149
.
Kassambara
A.
2017
Practical Guide to Cluster Analysis in R: Unsupervised Machine Learning, Multivariate Analysis
.
STHDA
. https://www.datanovia.com/en/wp-content/uploads/dn-tutorials/book-preview/clustering_en_preview.pdf
Kumar
D.
,
Dhaloiya
A.
,
Nain
A. S.
,
Sharma
M. P.
&
Singh
A.
2021
Prioritization of watershed using remote sensing and geographic information system
.
Sustainability
13
(
16
),
9456
.
Kumar
A.
,
Singh
S.
,
Pramanik
M.
,
Chaudhary
S.
,
Maurya
A. K.
&
Kumar
M.
2022
Watershed prioritization for soil erosion mapping in the Lesser Himalayan Indian basin using PCA and WSA methods in conjunction with morphometric parameters and GIS-based approach
.
Environment, Development and Sustainability
24
(
3
),
3723
3761
.
Maćkiewicz
A.
&
Ratajczak
W.
1993
Principal components analysis (PCA)
.
Computers & Geosciences
19
(
3
),
303
342
.
Mahapatra
S. K.
,
Reddy
G. P. O.
,
Nagdev
R.
,
Yadav
R. P.
,
Singh
S. K.
&
Sharda
V. N.
2018
Assessment of soil erosion in the fragile himalayan ecosystem of Uttarakhand, India using USLE and GIS for sustainable productivity
.
Current Science
115
(
1
),
108
121
.
Mahmoodzada
A. B.
,
Varade
D.
,
Shimada
S.
,
Okazawa
H.
,
Aryan
S.
,
Gulab
G.
,
Mustafa
A. El-Z. M. A.
,
Rizwana
H.
,
Ahlawat
Y. K.
&
Elansary
H. O.
2023
Quantification of Amu River Riverbank Erosion in Balkh Province of Afghanistan during 2004–2020
.
Land
12
(
10
),
1890
.
Meshram
S. G.
&
Sharma
S. K.
2017
Prioritization of watershed through morphometric parameters: A PCA-based approach
.
Applied Water Science
7
(
3
),
1505
1519
.
Mishra
A.
,
Bicknell
B. R.
,
Duda
P.
,
Donigian
T.
&
Gray
M. H.
2017
HSPEXP + : An An Enhanced Expert System for HSPF Model CalibrationA Case Study of the Snake River Watershed in Minnesota
.
Journal of Water Management Modeling
25
(
C422
),
1
9
.
Rai
P. K.
,
Chaubey
P. K.
,
Mohan
K.
&
Singh
P.
2017
Geoinformatics for assessing the inferences of quantitative drainage morphometry of the Narmada Basin in India
.
Applied Geomatics
9
(
3
),
167189
.
DOI: 10.1007/s12518-017-0191-1
Randhir
T. O.
,
O'Connor
R.
,
Penner
P. R.
&
Goodwin
D. W.
2001
A watershed-based land prioritization model for water supply protection
.
Forest Ecology and Management
143
(
1–3
),
47
56
.
Rani
M.
,
Pande
A.
,
Kumar
K.
,
Joshi
H.
,
Rawat
D. S.
&
Kumar
D.
2022
Investigation of groundwater recharge prospect and hydrological response of groundwater augmentation measures in Upper Kosi watershed, Kumaun Himalaya, India
.
Groundwater for Sustainable Development
16
(
5
),
100720
.
Sarkar
P.
,
Kumar
P.
,
Vishwakarma
D. K.
,
Ashok
A.
,
Elbeltagi
A.
,
Gupta
S.
&
Kuriqi
A.
2022
Watershed prioritization using morphometric analysis by MCDM approaches
.
Ecological Informatics
70
(
1
),
101763
.
Sharma
N.
,
Kaushal
A.
,
Yousuf
A.
,
Kaur
S.
,
Sharda
R.
,
Pal
S.S.
,
Gupta
O. P.
&
Sood
A.
2023
Prioritization of erosion susceptible watersheds using morphometric analysis and PCA approach: A case study of lower Sutlej River basin of Indian Punjab
.
Watershed Ecology and the Environment
5
(
2
),
209
224
.
Siddiqui
R.
,
Said
S.
&
Shakeel
M.
2020
Nagmati river sub-watershed prioritization using PCA, integrated PCWS, and AHP: A case study
.
Natural Resources Research
29
(
4
),
2411
2430
.
Singh
S.
&
Kansal
M. L.
2023
A comparative study of morphometric, hydrologic, and semi-empirical methods for the prioritization of sub-watersheds against flash flood-induced landslides in a part of the Indian Himalayan Region
.
Environ Sci Pollut Res
(2023). https://doi.org/10.1007/s11356-023-30613-6
.
Singh
W. R.
,
Barman
S.
&
Tirkey
G.
2021
Morphometric analysis and watershed prioritization in relation to soil erosion in Dudhnai Watershed
.
Applied Water Science
11
(
9
),
158
.
Singh
H.
,
Varade
D.
,
van Vries
M. W.
,
Adhikari
K.
,
Rawat
M.
,
Awasthi
S.
&
Rawat
D.
2023a
Assessment of potential present and future glacial lake outburst flood hazard in the Hunza valley: A case study of Shisper and Mochowar glacier
.
The Science of the Total Environment
868
,
161717
.
Singh
H.
,
Varade
D.
&
Mishra
P. K.
2023b
Cloudburst Events in the Indian Himalayas: A Historical Geospatial Perspective
.
Springer Nature Singapore
,
Singapore
, pp.
777
797
.
Singh
P.
,
Tyagi
S.
,
Dobhal
R.
,
Singh
R.
, &
Mohan
M.
.
2012
.
Evaluation of water quantity and quality status of drinking water sector of Uttarakhand, India
.
Analytical Chemistry Letters
2
(
3
),
198205
.
DOI: 10.1080/22297928.2000.10648270
Smith
K. G.
1950
Standards for grading texture of erosional topography
.
American Journal of Science
248
(
9
),
655
668
.
Strahler
A. N.
1952
Dynamic basis of geomorphology
.
Geological Society of America Bulletin
63
(
9
),
923
.
Strahler
A. N.
1964
Quantitative Geomorphology of Drainage Basin and Channel Networks
.
McGraw Hill
,
New York, NY
, pp.
439
476
.
Varade
D.
,
Singh
H.
,
Singh
A. P.
&
Awasthi
S.
2023
Assessment of urban sprawls, amenities, and indifferences of LST and AOD in sub-urban area: A case study of Jammu
.
Environmental Science and Pollution Research International
30
(
49
),
107179
107198
.
Wold
S.
,
Esbensen
K.
&
Geladi
P.
1987
Principal component analysis
.
Chemometrics and Intelligent Laboratory Systems
2
(
1–3
),
37
52
.
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