Introduction

Sustainable development of natural resources and watershed management can be better understood through the analysis of drainage basin such as topography, slope, run-off characteristics, soil condition and surface water potential. The analysis of drainage basin plays a crucial role in preparation of watershed management with the following geomorphometric land cover parameters. Watershed management programme depends on various interrelationships like the connection between geology, geomorphology, slope, land use, soil, low lands and uplands (Chandrashekar et al. 2015). Several recent research works have been carried out in basin prioritization through the analysis of the integration of geophysical and land use and land cover patterns (Javed et al. 2009; Malik and Bhat 2014). These parameters help in determining the basin priority used by assigned knowledge-based weightage as per their relative contribution to watershed degradation (Aher et al. 2013; Rahaman et al. 2015). However, basin management programme was mainly concentrated on soil and water conservation than basin boundary demarcation (Gajbhiye et al. 2015a, b; Chandrashekar et al. 2015). In India, excessive population pressure violates the natural resources due to 16% population of world population presence on only 2.42% of the global land area. It is the fact that soil erosion and land degradation cover the huge land area near about 175 million hectares (66%) of the total geographical area (Meshram and Sharma 2017). On the other hand, soil loss nearly about 5300 million tons in the entire topsoil falls under the active erosion area caused by water and wind action. They have separately estimated about 150 million hectares erosion area, whereas rest of the land degradation area increased up to 25 million hectares caused by ravine and gullies, water logging, shifting cultivation, salinity or alkalinity, etc. (Gajbhiye 2015; Meshram and Sharma 2017).

Soil erosion is an important problem of the Kangsabati basin especially in Kansai–Kumari catchment site where main six components of the topography, namely morphometric aspects, geological set-up, geomorphic landscape, slope steepness and length, soil class and land use/land cover control the movement of the soil (Mukhopadhyay 1992). Rill and gully action are predominant agents for the soil erosion in escarpment zone of Kansai–Kumari inter-fluvial site due to the presence of steep slope and indiscriminate land use patterns, whereas light texture porous sandy soil helps in generating soil erosion susceptibility or rapid sheet erosion in the upper part of this basin.

Quantitative analysis of basin characteristic mainly depends on morphometric parameters for providing three important aspects, i.e. linear, aerial and relief (Strahler 1964; Biswas et al. 1999). This is the integrated parameter with geographical information system (GIS) and soil erosion measurement using several geomorphic techniques (Chopra et al. 2005; Javed et al. 2009, 2011; Sharma et al. 2015). Morphometric parameters help in estimating the rank priority that predicts the deficit and surplus zones of soil erosion in every sub-basin (Deepika et al. 2013). Land use and land cover (LULC) change is another important integrating parameter for the estimation of basin prioritization and land degradation or deterioration of watershed status under GIS platform (Malik and Bhat 2014; Sujatha et al. 2014; Altaf et al. 2014). Ground slope and gradient of the drainage network provide the structural arrangement of three morphometric aspects, i.e. linear, aerial and relief (Clarke 1996; Malik et al. 2011). These are important parameters for the detection of indigenous geophysical parameters-based basin prioritization as well as help in effective taking step of sustainable planning and management in every sub-basin (Javed et al. 2011; Patel et al. 2012; Malik and Bhat 2014). It is noted that basin prioritization does not depend on morphometric, land use/land cover and slope but also depends on the geological structure and soil characteristic (Chauhan et al. 2016). Prioritization status is determined by the computation of compound values (Cp) from selected parameters, and then, these values are correlated and superimposed on each and other. On the other hand, erosion susceptibility was measured by hypsometric analysis and denudation rate estimation per unit area at sub-basin level. Hypsometric analysis is used for prediction of the surface elevation and geomorphological state such as youth (in equilibrium), mature (equilibrium) and old (Monadnock) stage to assess the erosion risk assessment and structural forms in a basin (Sharma et al. 2013; Martínez-Ramírez et al. 2017), whereas denudation rate estimation is a indirect geomorphic index to assess the erosion process under the hierarchical drainage basin (Horton 1945; Strahler 1952, 1964; Avena et al. 1967; Ciccacci et al. 1980, 2003; Della Seta et al. 2007; Gioia et al. 2011). This hypothesis result predicts the correlation between the priority status of the basin and soil erosion susceptibility in every sub-basin. Therefore, all integrated theme-based prioritization depicts that high soil erosion susceptible zone was concentrated on high priority status based on basin area and vice versa (Gajbhiye et al. 2014; Chauhan et al. 2016; Meshram and Sharma 2017). Several research works have been conducted about the priority status of the basin, but there has research gap how integrated theme-based prioritization accelerated the soil erosion susceptibility.

The objective of this study is to assess the basin priority status using individually assigned weights and ranks based on order-wise potential effects of environmental degradation from geomorphometric, geology, slope, LULC and soil. Then, sub-basin-wise risk assessment of erosion susceptibility stage is determined and used by hypsometric analysis and denudation rate estimation to appropriate soil and water conservative measures in the entire upper catchment area of Kansai–Kumari basin.

Study area

Kumari River is the most important tributary of the Kangsabati which originated from the Baghmundi hill area. Two channels, one from north and north-west and another from south and south-west, join together at Kerwa and flow under the name ‘Kumari’. On the other hand, Kansai River is originated from the Chota Nagpur plateau in the state of Jharkhand, India, and passes through the districts of Purulia, Bankura and Paschim Medinipur in W.B. and drains into Hooghly River. From the confluence point of view, Kumari River flows in the north-west to south-east direction over the gently undulating plains of Purulia plateau terrain and finally meets with the Kangsabati—the trunk stream at Ambikanagar with the total length of about 97 km (Fig. 1). According to the geographical point of view, upper part of Kangsabati basin or Kansai–Kumari catchment area is bounded by 23°20′0″N to 22°55′0″ N latitudes and 86°0′0″E to 86°40′0″E longitudes. Entire catchment area covers an area of 3522 km2 and also divided this basin into 13 sub-basins. This basin falls under the undulating terrain characteristics (680 m–117 m) started from Baghmundi and Dalma marginal fringe to narrow escarpment zone. Climatic characteristic of this basin is dry except during south-west monsoon season. Rainfall occurs from 1400 to 1500 mm during monsoon season but annually ranges from 250 to 350 mm, whereas highest temperature during the month of May is 43 °C and lowest temperature during the month of January is 6 °C. Soil characteristic in the entire upper catchment is light textured, shallow to moderately deep and with intense erosion susceptibility (Mukhopadhyay 1992). Land use patterns mainly forest degradation and paddy cultivation play a vital role in the acceleration of soil erosion on this steep slope land surface (Mahala 2018).

Fig. 1
figure 1

Location map of Kansai–Kumari catchment area

Material and methodology

Data products and image processing

The study area of Kansai–Kumari inter-fluvial basin is delineated using Survey of India (SOI) topographical sheets (No 73I/10, 11, 12, 13 of 1:50000 scale) of 1975 edition and ASTER (Advance Space bone Thermal Emission and Reflection Radiometer) DEM. These digital data sets were used for systematic analysis of various thematic map, i.e. morphometric, slope and land use/land cover (LULC) characteristics, of the river basin under proper GIS platform. Toposheet also helps in detecting threshold drainage pattern from basin outlay which is provided by ASTER DEM. DEM provided the direct execution of slope and elevation map, whereas morphometric analysis of drainage basin is executed through the preparation of hierarchical stream order based on Strahler method (1964). On the other hand, LULC and soil map generated from LANDSAT TM and West Bengal soil sheet 2 were prepared by ICAR (Table 1). All these parameters were used for delineation of the basin as well as detection of priority status into 13 sub-basins (Fig. 2).

Table 1 Details of geospatial data
Fig. 2
figure 2

Methodological flow chart of basin prioritization of morphometric, geology, geomorphology, LULC, slope and soil

Every single parameter of individual category like geophysical (lithology, slope, geomorphology and soil), morphometric and LULC was determined through the estimation of knowledge-based weightage value which depends on the role of soil erosion susceptibility. Priority status in each parameter has been assigned from theme-based parameters result. In the morphometric analysis of basin, three aspects, i.e. linear, areal and relief, have been calculated from the drainage layer from Kansai–Kumari inter-fluvial basin following referred methods shown in Table 2. These aspects are used for making morphometric priority rank in the selected sub-basin.

Table 2 Aspect-wise mathematical formulae used based on several morphometric parameters

Prioritization of morphometric, geology, geomorphic, slope and soil has been assigned from the role of their susceptibility to erosion and percentage area of classified category (Patwary et al. 2009; Patel et al. 2012; Chauhan et al. 2016; Meshram and Sharma 2017). Priority of sub-basin (Sb) is estimated from the rank of compound value (Cp) which is ascribed to the average values of six themes derived from 13 sub-basins. Rank 1 is taken from highest values of final value, and next rank is rated by the second highest value of this parameter (Patel et al. 2012).

Geological formation, geomorphic set up, land use/land cover, slope and soil in each sub-basin have been assigned ranking order as giving rank ‘1’ of highest percentage area of high erosion susceptibility and next rank assigned from second highest sub-basin and so on, whereas lowest percentage area of low erosion susceptibility in an individual sub-basin has been ranked ‘1’, second lowest value as given rank ‘2’ and so on (Chauhan et al. 2016). Ranking order of geological set-up has been assigned from the highest percentage area of Chotanagpur granite gneiss, Dolma volcanic, epidiorite, hornblende schist, garnetiferous sillimanite, granite gneiss, hornblende schist, Mahadeva formation red, oxidised sand, silt, clay, quartz biotite granite gneiss, Rajmahal Trap Basalt for highest erosovity, while ranking order has been assigned from the lowest percentage area of alluvium formation as giving rank ‘1’, second lowest value as giving rank ‘2’ and so on for lowest erosovity (Jasrotia et al. 2002; Patwary et al. 2009; Patel et al. 2012). Ranking order of geomorphic set-up has been assigned from the highest percentage area of buried pediments with lateritic capping, highly gullied land, inter-hill valley, pediplain, residual hills and rocky outcrop for highest erosovity, while flood plain deposits and valley fill deposits have been assigned rank from lowest percentage area as giving rank like geological set-up (Jasrotia et al. 2002; Patwary et al. 2009; Gioia et al. 2011). Ranking order of LULC has been assigned from the highest percentage area of cropland, laterite, water body and settlement as giving rank ‘1’ and so on for highest erosovity, while the lowest percentage of dense forest and open forest in each sub-basin has been given rank ‘1’ and next lowest value as rank ‘2’ and so on for low erosion susceptibility (Altaf et al. 2014; Perovic et al. 2018). Ranking order of slope has been assigned from the highest percentage area of very steep slope (> 15°), steep slope (5°–10°), moderate slope (5°–10°) for high erosion susceptibility, while lowest percentage area under gentle slope (< 5°) in each sub-basin has been giving rank ‘1’, second lowest value as giving rank ‘2’ and so on for low erosion (Jasrotia et al. 2002; Patwary et al. 2009; Farhan and Anaba 2016). Ranking order of soil has been assigned from the highest percentage area of Fine Loamy–Coarse Loamy; Gravelly Loam; Gravelly Loam–Loam; Loamy–Skeletal, Lethic Ustorthents; Loamy, Lethic Haplustaifs, while lowest percentage area of Fine, Fine Loamy and Fine Loamy, Type Haplustafs in each sub-basin has been giving rank ‘1’ like other parameters (Sahaar 2013; Ganasri and Ramesh 2016).

Cp is computed by adding up all the ranks of selected themes, and then, the addition of all ranks in each sub-basin is to be divided by the number of all aspects in six parameters. So, the lowest compound factor is taking as priority ‘1’ (highest rank) of sub-basin and next successive value has been taking as 2 and so forth. All the Cp value in each theme has been classified into three classes, i.e. high, medium and low. Higher priority class is associated with a lower composite score, while lowest priority class is concentrated with the highest composite score. Therefore, final priority status and the composite score have been established as a positive relation following equation (Chauhan et al. 2016).

$${\text{Cp}} = 1/n\mathop \sum \limits_{i = 1}^{n} R$$
(1)

where Cp means the compound value in every sub-basin, R means the assigned rank of a specific parameter in every sub-basin and n means the number of following parameters.

Erosion risk assessment

Hypsometric curve and integral

The hypsometric analysis is determined by the curve generation and integral value extraction to access the stages of development of the watershed. The hypsometric curve is prepared from ASTER DEM obtaining through GLCF (Global Land Cover Facility), USA, during 2014 under GIS platform. Basin area and relief or elevation are extracted from georeferenced DEM used by spatial analyst tools of ArcGIS software to find out hypsometric value through the following equation (Strahler 1952).

$${\text{Hc}} = \left( {\frac{a}{A}} \right)/\left( {\frac{h}{H}} \right)$$
(2)

where a/A means relative area and h/H means relative elevation. Then, this curve is prepared by obtaining plotting value from normalised cumulative distribution of area or a/A (X-axis) and normalised elevation or h/H (Y-axis) with the ranging scale of 0–1 (Kaliraj et al. 2015).

On the other hand, hypsometric integral (HI) is derived from the hypsometric curve used by elevation–relief ratio method (Pike and Wilson 1971; Meshram and Sharma 2017) following equation

$${\text{HI}} = \frac{{E_{\text{mean}} - E_{\text{min} } }}{{E_{\text{max} } - E_{\text{min} } }}$$
(3)

where HI denotes elevation–relief ratio or hypsometric integral, Emean refers mean elevation of a watershed obtaining from identified contour demarcating area, Emax and Emin refer maximum and minimum elevation from this identified contour area.

Denudation rate measurement

Denudation rate (Tu) is estimated by the determination of hierarchical anomaly number (Ga), hierarchical anomaly density (ga), hierarchical anomaly index (\(\Delta a\)) and drainage density (D) to assess the erosion risk assessment (Ciccacci et al. 1980; Tokunaga 2000; Della Seta et al. 2007; Gioia et al. 2011; Bahrami 2013). Hierarchical anomaly number estimated to getting a minimum number of each stream order is based on Eq. 4 (Avena et al. 1967).

$$\begin{aligned} {\text{Ga}} & = {\text{Number }}\,{\text{of }}\,{\text{stream }}\,{\text{order}}\,{\text{I}}\,{\text{which}}\,{\text{make}}\,{\text{the}} \\ & \quad {\text{drainage}}\,{\text{network}}\,{\text{perfectly}}\,{\text{hierarchized}} \\ \end{aligned}$$
(4)

Then, hierarchical anomaly density (ga) is estimated by hierarchical anomaly number and basin area to getting tree shape structural drainage network based on Avena et al. 1967 formula.

$${\text{ga}} = {\text{Ga}}/A$$
(5)

where Ga means hierarchical anomaly number and A is the basin area

Hierarchical anomaly index (\(\Delta a\)) is obtained from hierarchical anomaly number and actual number of stream order I to getting ratio of hierarchical anomaly density (ga) based on Eq. 6 (Avena et al. 1967).

$$\Delta a = {\text{Ga}}/N1$$
(6)

where Ga means hierarchical anomaly number and N1 means actual number of stream order I. Drainage density (D) is measured by computation of areal extent of stream network and average length of stream in a drainage area to getting the role of denudation intensity shown in Table 2 (Horton 1945).

Finally, sub-basin-wise denudation rate (Tu) rate is estimated by the following empirical equation no. 7 (Ciccacci et al. 1980, 2003).

$${\text{Log}}\,{\text{Tu}} = 1.44780 + 0.32619D + 0.10247\Delta a\,({\text{if}}\,D \le 6)$$
(7)

Denudation rate is estimated denudation power as well as amount of suspended sediment yield (t/km2/year) and its transport as suspension mode per unit catchment area (Kaliraj et al. 2015).

Results and discussion

Morphometric analysis

Morphometric analysis of Kansai–Kumari inter-fluvial basin including 13 sub-basins (SBs) has three major aspects, i.e. (1) linear—stream order (u), stream length (Lu), basin length (L), stream length ratio (Rl), bifurcation ratio (Rb), (2) areal—drainage density (D), stream frequency (Fs), drainage texture (Ts), form factor (Ff), elongation ratio (Re), circularity ratio (Rc) and shape factor (Bs), and (3) relief–basin relief (R), relief ratio (Rr), ruggedness number (Rn) and gradient Ratio (Gr). All of these aspects were calculated from the respective equations as explained in Table 2. Results have been detailed analysis in supplementary section and are revealed in Tables 3, 4.

Table 3 Computed linear parameters of 13 sub-basins in Kansai–Kumari inter-fluvial site
Table 4 Morphometric parameters of 13 sub-basins in Kansai–Kumari inter-fluvial site

Prioritization on the basis of morphometric analysis

Three morphometric aspects like linear, areal and relief have been studied for prioritization of micro-watershed, and they are contributed for the demarcation of erosion susceptible risk assessment (Biswas et al. 1999; Sujatha et al. 2014; Malik and Bhat 2014). Linear and relief parameters have a positive relationship with the erosion susceptibility, whereas aerial parameters have an inverse relationship with erodibility (Nooka et al. 2005; Chauhan et al. 2016). Priority class has been assigned from the compound value (Cp) which is computed by the summing up of all the ranks value of linear, aerial and relief parameters and then dividing by parameters number in every sub-basin (Chauhan et al. 2016). First priority rank has to give from the least value of Cp and so on based on erosion risk assessment of morphometric parameters (Patel et al. 2012). Final priority class is divided into three classes, i.e. high, medium and low. SB1, 6, 5, 12, 13 fall under high priority class due to the presence of least Cp value ranging from 2.62 to 5.17, and SB4, 8, 10, 9 fall under low priority class due to the presence of high Cp value ranging from 6.1 to 9.1. Rest of the sub-basin in the study area reached medium priority class due to the presence of average Cp value of 5–6 as shown in Table 5 (Fig. 3b).

Table 5 Morphometric-based assigned ranking and compound value in Kansai–Kumari inter-fluvial site
Fig. 3
figure 3

a Drainage pattern and order and b priority based on morphometric parameters analysis in Kansai–Kumari reservoir catchment area

Geological set-up and its prioritization

Geological structure and formation influences on erosion susceptibility in a basin (Jasrotia et al. 2002; Patel et al. 2012; Chauhan et al. 2016). Lithological structure is consisted of 11 rock structures such as Rajmahal Trap Basalt (129 km2); quartz biotite granite gneiss (2.63 km2); oxidised sand, silt, clay (34.55 km2); Mahadeva formation red sandstone, red clay (3.56 km2); hornblende schist (154.83 km2); granite gneiss (1877 km2); garnetiferous sillimanite biotite schist (69.94 km2); epidiorite, hornblende schist (987.13 km2); Dolma volcanic (0.82 km2); Chotanagpur Granite Gneiss Complex (3.48 km2); and alluvium (257.16 km2) in the entire Kansai–Kumari reservoir catchment area during Proterozoic to upper Jurassic period. Most of the sub-basin area covers under granite gneiss geological structure (53%), whereas oxidised sand, silt, clay has situated only SB13 within least amount (0.023%) as shown in Table 5. Sub-basin-wise, most of the lithological structure is granite gneiss in SB1 (292 km2) and Mahadeva formation red sandstone, red clay in SB13 (472 km2), while least amount of structure is quartz biotite granite gneiss (0.43 km2) was concentrated in SB3 as shown in Table 6 (Fig. 4a).

Table 6 Geological-based assigned ranking and compound value in Kansai–Kumai inter-fluvial site
Fig. 4
figure 4

a Geological set up in Kansai–Kumari reservoir catchment area and b priority based on geology in Kansai–Kumari reservoir catchment area

The ranking assignment is important to determine erosion susceptibility in every lithological layer with the following erodibility index (Jasrotia et al. 2002; Patwary et al. 2009; Patel et al. 2012). Highest rank has been given from the lower aerial extent of alluvium structure due to its low erodibility while highest rank has been taken from the larger areal extent of the rest of geological structure due to its high erodibility. Sub-basin-wise lithological prioritization was obtained from Cp values in each sub-basin following the erodibility weight as per Jasrotia et al. (2002), Patwary et al. (2009) in supplementary result under ‘Geological prioritization’ section. SB1, 2, 9, 11 have given high priority rank (1) with the Cp value of 0.8–1, medium priority rank (2) has been assigned to SB3, 4, 5, 6, 10 with the Cp value of 1–1.3, and low priority rank (3) was situated in SB7, 8, 12, 13 with the highest Cp value of 1.6–2.5 (Fig. 4b).

Geomorphic set-up and its prioritization

The geomorphic landscape is an indicator of erosion susceptibility in a basin with the following intensity of the erosion and deposition process. In terms of geomorphic landforms in the study area, it has been classified into eight classes such as buried pediment with lateritic capping (872.84 km2); flood plain deposits (711 km2); highly gullied land (171 km2); inter-hilly valley (89 km2); pediplain (922 km2); residual hills (229 km2); rocky outcrop (294 km2); and valley fill deposits (214 km2) as shown in Table 6. Buried pediment with lateritic capping is the dominant (24%), whereas least amount of landscape is inter-hilly valley (4%) as shown in Table 7 (Fig. 5a). Erosion susceptibility in geomorphic landscape is determined by assigning rank through the following of run-off, landslide and denudation potentiality in each landform (Jasrotia et al. 2002; Patwary et al. 2009; Gioia et al. 2011). Buried pediment with lateritic capping, highly gullied land, inter-hill valley, pediplain, residual hills and rocky outcrop have high erosion susceptibility, while flood plain and valley fill deposits have low erosion susceptibility following Jasrotia et al. (2002), Patwary et al. (2009), Gioia et al. (2011) in supplementary result under ‘Geomorphic prioritization’ section. According to Cp value, SB2, 4, 7, 11, 13 fall under high priority class (1) with the Cp value ranging from 0.38 to 2, SB1, 8, 9, 12 fall under medium priority class (2) with the Cp value ranging from 2.375 to 3.37, and lower priority class (3) has been given in rest sub-basin out of 13 sub-basins with the highest Cp value varying from 3.75 to 4.75 (Fig. 5b).

Table 7 Geomorphic analysis-based assigned ranking and compound value in Kansai–Kumari inter-fluvial site
Fig. 5
figure 5

a Geomorphic set up in Kansai–Kumari reservoir catchment area and b priority based on geomorphic parameters analysis in Kansai–Kumari reservoir catchment area

Land use and land cover analysis (LULC) and its prioritization

Drainage pattern and its coverage area are strongly influenced by LULC patterns and also significantly impact on soil erosion susceptibility through the controlling of moisture content, infiltration, evapo-transpiration as well as interception process in a basin (Rashid and Romshoo 2013; Romshoo et al. 2012). Vegetation cover and root biomass play a vital role in controlling the rate of erosion (Carlos et al. 2012; Badar et al. 2013). On the other hand, LULC has another important inimitable factor for the determination of watershed prioritization and management (Javed et al. 2009, 2011). LULC in this study area has been categorised into seven types such as crop (1648 km2); dense forest (221 km2); laterite (632 km2); open forest (368 km2); river (256 km2); settlement (267 km2); and water body (121 km2). Cropland is the dominant LULC category including single- and double-crop cover with 46.86%, while water body covers very least area with 3.46% as shown in Table 8 (Fig. 6a). Rank assigned has been given on the basis of erosion susceptibility in each LULC categories (Chauhan et al. 2016). Highest rank has been assigned for the area of larger extent with less vegetation, cropland, laterite, water body, settlement and river, whereas lowest rank has been assigned for the higher areal extent of dense and open forest following Jasrotia et al. (2002), Altaf et al. (2014), Mahala (2018) in supplementary result under ‘Land use land cover prioritization’ section. Priority class reveals that SB3, 4, 9, 10, 11 reached the high priority class (1) with the Cp value of 3.33–5.17; SB1, 5, 6, 7 fall under the middle priority class (2) with the Cp value of 5.33–5.67; and low priority class (3) has been assigned to SB2, 8, 12, 13 with the Cp value of 5.83–8.77 (Fig. 6b).

Table 8 LULC-based assigned ranking and compound value in Kansai–Kumari inter-fluvial site
Fig. 6
figure 6

a LULC in Kansai–Kumari reservoir catchment area and b priority based on LULC parameters analysis in Kansai–Kumari reservoir catchment area

Slope characteristic and its prioritization

This is one of the important specific features of surface expression which is positively influenced by erosion susceptibility in a watershed (Chauhan et al. 2016; Meshram and Sharma 2017). High erosion susceptibility class is situated in a high percentage of slope or very steep slope in order of particle detachment and low erosion susceptibility class associated with low percentage of slope or gentle slope in order to restrict soil erosion (Jasrotia et al. 2002; Patwary et al. 2009; Farhan and Anaba 2016). Final priority rank has been given as the following descending manner of the Cp value in every sub-basin following Jasrotia et al. (2002), Patwary et al. (2009), Farhan and Anaba (2016) in supplementary result under ‘Slope prioritization’ section. Most of the basin area falls under lower percentage class or gentle slope (< 5°) which varies from 59 to 78%, whereas minimum basin area falls under highest percentage class or very steep slope (> 15°) which varies from 0.06 to 8% in the study area shown in Table 8 (Fig. 7a). SB1, 3, 4, 7, 9 achieved high priority class (1) denoted by highest Cp value of 14.45–17.57, whereas low priority class (3) was situated in SB2, 5, 12, 13 with the lower Cp value ranging from 12.19 to 12.95. Rest of the sub-basin have fallen under the medium priority class (2) due to the presence of medium Cp value (Fig. 7b). The result shows that high erosion susceptibility is due to the presence of high priority class while low erosion susceptibility is due to the presence of low priority class in the entire catchment area.

Fig. 7
figure 7

a Slope analysis in Kansai–Kumari reservoir catchment area and b priority based on slope parameter in Kansai–Kumari reservoir catchment area

Soil characteristic and its prioritization

Soil erosion and landslide activities are greatly influenced by physical and chemical properties of soil (Srivastava et al. 2005). Code-wise soil classification in the study area depends on several types of soil properties like colour, moisture content, texture and depth to assign on its erosion susceptibility of every soil class (Chauhan et al. 2016). Soil code in the study area has been classified into eight types, i.e. Fine (559 km2); Fine Loamy (688 km2); Fine Loamy–Coarse Loamy (159 km2); Fine Loamy, Type Haplustalfs (738 km2); Gravelly Loam (222 km2); Gravelly Loam Loam (1050 km2); Loamy, Lethic Haplustaifs (91 km2); and Loamy Skeletal, Lethic Ustorthents (10.62 km2). Gravelly Loam Loam (29%) and Loamy Skeletal, Lethic Ustorthents (0.30%) cover maximum and minimum area extent, respectively (Table 9 and Fig. 8a). On the contrary, soil erodibility factor (K) plays a vital role in determining the basin prioritization following on assigning a ranking of erosion susceptibility (Sahaar 2013; Chauhan et al. 2016; Ganasri and Ramesh 2016). Fine Loamy–Coarse Loamy; Gravelly Loam; Gravelly loam–Loam; Loamy–Skeletal, Lethic Ustorthents; Loamy, Lethic Haplustaifs have been taken as high erosion susceptibility for low K value, while Fine, Fine Loamy and Fine loamy, Type Haplustafs have been taken as low erosion susceptibility for high K value explaining in supplementary result under ‘Soil prioritization’ section. Priority result shows that SB3, 9, 10, 12 reached highest priority class (1) with the Cp value of 0.125–1.75 and medium priority class (2) has been assigned to SB2, 4, 8, 11 with the Cp value of 2–2.625. SB1, 5, 6, 7, 13 have been given low priority class (3) due to the presence of the highest Cp value (2.75–4.13) (Fig. 8b).

Table 9 Slope-based assigned ranking and compound value in Kansai–Kumari inter-fluvial site
Fig. 8
figure 8

a Soil type in Kansai–Kumari inter-fluvial site and b priority based on soil type analysis in Kansai–Kumari reservoir catchment area

Sub-basin-wise final priority of all themes

Sub-basin-wise prioritization has been prepared from the final compound value of seven selected theme, i.e. morphometric, geological, morphological set-up, LULC, slope and soil, to assess the role of erosion susceptibility (Table 10). Finally, basin prioritization is divided into three categories, i.e. high, medium and low, on the basis of compile Cp value. Result shows that SB2, 11, 12, 13 achieved high priority rank due to the presence of low Cp value (3–3.5); SB4, 7, 8, 9, 10 achieved low priority rank with the high Cp value (4–4.5) and SB1, 3, 5, 6 reached medium priority rank due to the presence of medium Cp value (3.5–4) in study area (Table 11, Fig. 9). On the other hand, all integrated priority rank helps in determining more or less erosion-prone site to take appropriate erosion control strategies with the analysis of erosion risk assessment used by hypsometric analysis and denudation rate measurement.

Table 10 Soil-based assigned ranking and compound value in Kansai–Kumari inter-fluvial site
Table 11 Sub-basin-wise final priority of six themes in the entire catchment area
Fig. 9
figure 9

Sub-basin-wise final composite prioritization in Kansai–Kumari reservoir catchment area

Risk assessment of erosion susceptibility

Hypsometric assessment

The hypsometric characteristic especially hypsometric curve in this study area is determined by landmass area from ten class distributions of elevation under the specific contour break points above the drainage outlet following Kaliraj method (2014). Sub-basin-wise landmass distribution shows that most of the area falls under 100–300 m (114 km2 of 213–345 m in SB1; 35 km2 of 229–362 m in SB2; 71 km2 of 178–260 m in SB3; 35.41 km2 of 172–242 m in SB4; 72 km2 of 112–207 in SB5; 89 km2 of 154–304 m in SB6; 123 km2 of 168–292 m in SB7; 13.46 km2 of 169–253 m in SB8; 14 km2 of 184–246 m in SB9; 11.37 km2 of 153–190 m in SB10; 26.43 km2 of 153–268 m in SB11; 32 km2 of 117–212 m in SB12 and 150 km2 of 123–282 m in SB13). On the contrary, average small area was concentrated above 350 m in this study area (9.45 km2 of 345–609 m in SB1; 11 km2 of 406–628 m in SB2; 13 km2 of 260–309 m in SB3; 5.41 km2 of 145–186 and 256–284 m in SB4; 9.81 km2 of 207–265 m in SB5; 3.46 km2 of 304–655 m in SB6; 2.77 km2 of 292–584 m in SB7; 0.84 km2 of 253–320 m in SB8; 2.68 km2 of 246–283 m in SB9; 1.89 km2 of 203–253 m in 10; 3.21 km2 of 268–301 m in SB11; 2.61 km2 of 212–260 m in SB12 and 4.87 km2 of 282–481 m in SB13) as shown in Fig. 10. It is a point that maximum landmass was concentrated on lower elevation site while minimum landmass area was concentrated on higher elevation site of identified contour break points in every sub-basin.

Fig. 10
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am Sub-basin-wise hypsometric analysis of relative land area distribution based on ten class relative elevations

The hypsometric curve is divided into three types, i.e. convex up, convex and concave curve, whereas HI is divided into three types, i.e. high, medium and low. Convex-up curves are situated in high HI value (HI > 0.60) denoting youth or equilibrium stage, convex curve is situated in medium HI value (HI 0.60–0.35) denoting mature or equilibrium stage, and concave curves are situated in low HI value (HI < 0.35) denoting old or monadnock stage (Strahler 1952; Rosenblatt et al. 1994). HI value in this study area reveals that SB1, 2, 3, 4, 5, 8, 9, 10, 11 and 12 fall under late youth or inequilibrium stage for HI value ranging from 0.4 to 0.542; SB6, 7 reached old or monadnock stage for HI value of 0.29; and SB13 achieved equilibrium stage for HI value of 0.35 (Table 12 and Fig. 11). Therefore, most of the hypsometric curves in this study area have the convex-up type with medium HI value which reveals that landforms are an undissected or inequilibrium stage. Average landmass distribution shows that high HI value is always present in maximum landmass distribution under high elevated contour break points due to the presence of high priority rank of all selected themes and vice versa.

Table 12 Risk assessment of erosion susceptibility in study area
Fig. 11
figure 11

Hypsometric integral value in Kansai–Kumari reservoir catchment area

Denudation rate assessment

This is another indirect estimation way of erosion risk assessment based on hierarchical drainage network of morphometric and geomorphic activities. The prime objective of this estimation is to assess the quantity of suspended sediment transport and role of tectonic activity through the analysis of slope variation in a basin (Gioia et al. 2011; Kaliraj et al. 2015). Drainage density (D), hierarchical anomaly number (Ga), hierarchical anomaly density (ga) and hierarchical anomaly index (\(\Delta a\)) are used for the estimation of denudation rate (Tu) in this study area. D in this catchment area ranges from 0.99 (SB4) to 1.16 km/km2 (SB13) with the average value of 1.07 km/km2 in this study, whereas Ga varies from 711 (SB13) to 39 (SB10) within the average value of 229 (u I–VI). Result shows that stream order-wise steep slope or elevated surface or highly existing rock surface leads to increase the D value in accordance with ascending manner of stream order along with Ga (Table 12 and Fig. 12), while lowest density was situated in gentle slope or plain surface or low existing rock surface as well as lowest number of Ga. On the other hand, stream order-wise Ga generates perfectly tree-shaped structure in every sub-basin which reveals that basin slope plays a vital role in initiating drainage network.

Fig. 12
figure 12

Sub-basin-wise denudation rate in Kansai–Kumari reservoir catchment area

Hierarchical anomaly density (ga) in this study area ranges from 1.29 (SB13) to 0.70 (SB2) within the average value of 0.81, whereas hierarchical anomaly index (Δa) ranges from 1.35 (SB8) to 1.23 (SB9) within the average value of 1.28. Sub-basin-wise Δa value varies due to the presence of u-I and ga. The result denotes that entire drainage network as hierarchical form is controlled by lithological structure mainly high-altitude steep slope region due to value of Δa more than one (Ciccacci et al. 2003). Finally, Tu rate in the 13 sub-basin produces from 95.86 (SB13) to 79.43 t/km2/year (SB9) within the average value of 84.94 t/km2/year. Slope, D, ga, Δa and other associated morphogenetic factors and hierarchical drainage outlet play vital role in initiating the rate of Tu (Bonnet and Crave 2003; Whipple 2009; Bahrami 2013). On the other hand, denudation intensity produces suspended sediment yield through the generation of several morphometric landforms, which transported suspension manner per unit area of sub-basin.

The relationship between basin prioritization and risk assessment status

The present study address that basin prioritization has a positive relationship with soil erosion susceptibility (r = 0.5) through the integrated analysis of morphometric, geological, geomorphic set-up, LULC, slope and soil characteristics. But risk assessment status shows that morphometric aspects are controlled by geological and geomorphic set-up, whereas LULC depends on soil, slope and morphometric priority in a drainage basin. The result in this study denotes that SB13, 2 fall under high basin priority and high-risk assessment rank, whereas SB3, 4, 9 reached low basin priority and low risk rank, but both risk rank reached under the mature stage of geological setting (Tables 11, 12). SB6, 7 reached medium priority of basin status and medium risk rank, but geological setting falls under old stage due to the presence of erosion-prone soil types of Fine Loamy and Fine Loamy, Haplustafs, while SB7, 8, 10 reached low priority rank, but denudation rate has medium rank due to the presence of erosion-prone LULC patterns like cropland and laterite cover (Figs. 9, 12). It is a point that basin priority and erosion susceptibility do not depend on morphometric set-up but also depend on other associated parameters like geological, geomorphic, LULC, slope and soil characteristic.

Conclusions and findings

Basin prioritization is a holistic approach through the integration of determinant themes like morphometric, lithological, geomorphic set-up, LULC, slope and soil types in the study area under the GIS platform. The hierarchical drainage system, hydrological process, geomorphic landscape evolution and stream watershed relationship could be better understood by basin priority status. The present study provides the basin priority rank of individual determinant themes, the role of erosion susceptibility in every determinant theme as well as sub-basin-wise spatial distribution of suspended sediment transport per unit basin area. Erosion susceptibility is determined by the analysis of hypsometric characteristic and suspended sediment transport estimated by denudation rate. The result of this study reveals that SB13, 2 have high erosion risk rank or high denudation rate (tu > 90 t/km2/year) due to the presence of low priority rank of morphometric, geomorphic, slope, soil and high priority rank of lithological set-up and LULC but reached under late mature geological stage (Hi > 0.35). SB3, 4, 10 have low erosion risk rank or low denudation rate (tu < 83 t/km2/year) due to the presence of high priority rank of morphometric, geology, geomorphic, slope and soil types but reached under the mature stage of geological setting (Hi > 0.5). SB7, 8, 9 have medium risk rank or medium denudation rate (tu < 85 t/km2/year) due to the presence of erosion-prone LULC patterns like cropland and laterite cover but having low basin priority rank and old geological stage (Hi < 0.35). It is a point that denudation rate and geological stage of landform evolution do not have proportional relation, as well as priority rank of all themes, and do not match on compile basin prioritization at sub-basin level. Therefore, erosion susceptibility in the entire basin depends on every determinant themes not only morphometric parameters but also other associated parameters. On the other hand, basin prioritization and erosion risk assessment help in taking soil and water conservation measures with the following basin hydrological set-up and geomorphometric parameters.