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Introduction

Watershed is an area from which all precipitated water flows to a common outlet. In other words, watershed is a geographical dynamic unit, which covers all land that contributes runoff to a common outlet.^1,2Continuously growing population pressure resulted in the scarcity of available land and water resources.³There are number of quantitative analysis used to calculate the topography of the watershed; and the analysis could be prepared from single watershed to the entire country. Comparing the results from different watersheds would be difficult without suitable technique. Hypsometric integral and hypsometric curve are the best method to analyze the topography of drainage basin.⁴Hypsometric analysis is the relationship of horizontal cross-section drainage basin area to elevation.^5,6,7Naturally, hypsometric analysis has been used to differentiate between erosional landforms at different stages during their evolution^8,9suggest that hypsometry may reflect the interaction between tectonics and erosion and could provide a valuable geomorphic index in order to constrain the relative importance of these processes. Hypsometry may be expressed quantitatively as an integral called the hypsometric integral (HI). HI represents the area under the hypsometric curve.⁸Interpreted shapes of hypsometric curves by analyzing numerous drainage basins and classified the basins as youth (convex upward curves), mature (S-shaped curves, which are concave upwards at high elevations and convex downwards at low elevations) and peneplain or distorted (concave upward curves). The hypsometric integral helps in explaining the erosion that had taken place in the watershed during the health of watersheds.¹⁰Hypsometric Integral value can be used as an estimator of erosion status of watershed leading to prioritization of watershed for soil and water conservation measures.¹¹遥感技术的最新进展nd geographical information systems (GIS) have became important means to provide accurate, timely, and real-time information on various aspects of the watershed.^{12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28}There is a lack of hypsometric analysis based studies for small river basin like Gour river to analyze the watershed health, which is due to the tedious nature of data acquisition and analysis involved for estimation. However, due to advent of remote sensing data (including derived digital elevation models) and open source GIS tools, the estimation process becomes easier than conventional methods. Considering the above facts, this study was undertaken in two watersheds of Gourriver to prioritize their sub watersheds for soil and water conservation.

Materials and Methods

In the present study two watersheds were taken naming Khurji Nala and Dala Nala watersheds which are tributaries of Gour River situated in Jabalpur district of Madhya Pradesh. The study area contributes 62.7 km²of total area and situated between 79°58’6.72" and 80°4’59.10" E longitude and 23°1’46.15" and 23°6’25.03" N latitude with elevation range from 400 m to 560 m above MSL (mean sea level). The location map of study area is shown in Fig 1. The average annual rainfall is 1150 mm, which is concentrated mostly between mid June to mid September with scattered winter rains during late December and January months.

Figure 1:Location map of Study area Click here to View figure

In order to prepare base map of Khurji Nala and Dala Nala watersheds SOI (Survey of India) topo sheets 55 M/16 and 64 A/4 on 1:50000 scales were used. Digitization of contours and drainage network was carried out using ArcGIS, followed by generation of a Digital Elevation Model (DEM). Further, the two watersheds i.e. KhurjiNala and DalaNala delineated into five and seven sub watersheds respectively. The digital contour map was used to generate the data required for relative area and elevation ranges. Taking the drainage basin to be bounded by vertical sides and a horizontal base plane passing through the mouth, the Relative height ‘y’ is the ratio of height of the contour above the base level of the stream mouth i.e. ‘h’ to the total height of basin with reference to the same base level i.e. ‘H’. Relative area ‘x’ is the ratio of ‘a’ which is the area enclosed between a given contour within the basin to the ‘A’ which is the total area of the basin. Values of Relative height and Relative area of two watersheds is presented in Table 1A,1B,1C,1D,1E of Khurji Nala sub watersheds, and Table 2A, 2B, 2C, 2D, 2E, 2F, 2G of DalaNala sub watersheds.

Values of Relative Height and Area Calculated

Table 1a: Sub watershed 1(Khurji Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.085	0.078	142	0.95
540	0.039	0.114	122	0.82
520	0.022	0.135	102	0.68
500	0.023	0.156	82	0.55
480	0.022	0.177	62	0.41
460	0.019	0.195	42	0.28
440	0.163	0.346	22	0.14
420	0.708	0.99	2	0.013

Table 1b: Sub watershed 2 (Khurji Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
440	0.163	0.083	45	0.818
420	1.78	0.96	25	0.454
400	0.0026	0.99	5	0.09

Table 1c: Sub watershed 3 (Khurji Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.03	0.0114	146	0.966
540	0.14	0.057	126	0.834
520	0.18	0.113	106	0.701
500	0.13	0.155	86	0.569
480	0.132	0.196	66	0.437
460	0.22	0.265	46	0.304
440	1.27	0.658	26	0.172
420	1.11	0.99	6	0.03

Table 1d: Sub watershed 4 (Khurji Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.41	0.21	148	0.93
540	0.04	0.23	128	0.81
520	0.043	0.26	108	0.68
500	0.048	0.28	88	0.55
480	0.049	0.3	68	0.43
460	0.044	0.33	48	0.30
440	0.25	0.47	28	0.17
420	0.99	099	8	0.05

Table 1e: Sub watershed 5 (Khurji Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.033	0.002	164	0.97
540	0.012	0.003	144	0.85
520	0.013	0.005	124	0.733
500	0.016	0.006	104	0.615
480	0.012	0.007	84	0.497
460	0.014	0.008	64	0.378
440	0.171	0.02	44	0.26
420	3.345	0.30	24	0.142
400	8.22	0.99	4	0.023

Table 2a: Sub watershed 1 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.0276	0.0071	164	0.970
540	0.096	0.032	144	0.852
520	0.1874	0.080	124	0.733
500	0.0923	0.104	104	0.615
480	0.1277	0.137	84	0.497
460	0.1872	0.186	68	0.378
440	0.7409	0.378	44	0.260
420	2.2059	0.951	24	0.142
400	0.1861	0.99	4	0.02

Table 2b: Sub watershed 2 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
460	0.013	0.009	64	0.842
440	0.083	0.066	44	0.578
420	0.784	0.6015	24	0.315
400	0.584	0.99	4	0.052

Table 2c: Sub watershed 3 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.08	0.010	162	0.975
540	0.134	0.026	142	0.855
520	0.379	0.077	122	0.734
500	0.218	0.101	102	0.614
480	0.266	0.134	82	0.493
460	0.2523	0.165	62	0.373
440	0.605	0.241	42	0.253
420	1.710	0.453	22	0.135
400	4.388	0.99	2	0.012

Table 2d: Sub watershed 4 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
440	0.019	0.004	43	0.934
420	0.164	0.042	23	0.5
400	4.119	0.99	3	0.065

Table 2e: Sub watershed 5 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
560	0.0154	0.0045	166	0.976
540	0.0194	0.0102	146	0.858
520	0.0156	0.0148	126	0.741
500	0.0299	0.0236	106	0.623
480	0.0789	0.0470	86	0.505
460	0.1529	0.0922	66	0.388
440	0.1799	0.145	46	0.270
420	0.650	0.3377	26	0.152
400	2.2385	0.99	6	0.035

Table 2f: Sub watershed 6 (Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
480	0.0047	0.002	85	0.894
460	0.077	0.045	65	0.684
440	0.057	0.077	45	0.473
420	0.192	0.185	25	0.263
400	1.457	0.99	5	0.052

Table 2g: Sub watershed 7(Dala Nala)

Contour	Area (a) km2	Relative area (a/A)	Contour height (h)m	Relative relief(h/H)
420	0.26	0.013	24	0.827
400	19.62	0.99	4	0.137

Estimation of Hypsometric Integrals (Hi)

The hypsometric integral (HI) was estimated using the elevation relief ratio method as proposed by.²⁹The relationship is expressed as:

Where, E is the elevation-relief ratio equivalent to the hypsometric integral HI;Elev_meanis the weighted mean elevation of the watershed estimated from the identifiable contours of the delineated watershed; Elev_maxand Elev_minare the maximum and minimum elevations within the watershed. The hypsometric integral is expressed in percentage units.

Prioritization of Watershed

优先级dif的排名是一个分水岭ferent areas of a watershed according to the order in which they have to be selected for adopting suitable soil conservation measures. The watershed prioritization and formulation of proper watershed management programs for sustainable development require information on watershed sediment yield. Due to the complexity of the variables involved in erosion it becomes difficult to measure or predict the erosion in a precise manner. The latest advances in remote sensing technology and Geographical Information System (GIS) have provided very useful methods of surveying, identifying, classifying and monitoring several forms of earth resources. A particular sub watershed may get top priority due to various reasons but often; the intensity of land degradation is taken as the basis of prioritization.

In case of unguaged or inadequately gauged situations it becomes problematic to prioritize the watersheds. Therefore hypsometric analysis is used for prioritization of those watersheds.

On the basis of hypsometric integral (HI), the threshold limits recommended by Miller (1953) as given below were adopted for deciding the stage of watershed:

1. The watershed is at youthful stage, if the HI ≥ 0.6.
2. The watershed is at equilibrium stage, if the 0.35 ≤ HI< 0.6.
3. The watershed is at mature (old) stage, if the HI< 0.35.

The watershed in youthful stage is more prone to erosion in comparison to equilibrium or mature stage. So the watersheds were prioritized on the basis of values of HI.

Result and Discussions

Hypsometric Integral

Hypsometric integrals (HI) values obtained by Pike and Wilson method for sub watersheds of both KhurjiNala and Dala Nala watershed are presented in Table 3. HI values of Khurji Nala sub watersheds ranges between 0.2 and 0.5 where as, for DalaNala sub watersheds it ranges between 0.12 and 0.55.

Table 3: Hypsometric Integral values of sub watersheds of KhurjiNala and Dala Nala watersheds

Sub Watershed	Hypsometric integral	Geological stages
A. Khurjinala sub watersheds
1	0.21	Mature
2	0.5	Equilibrium
3	0.3	Mature
4	0.31	Mature
5	0.2	Mature (old)
B. Dalanala sub watersheds
1	0.36	Equilibrium
2	0.48	Equilibrium
3	0.28	Mature
4	0.12	Mature (old)
5	0.24	Mature
6	0.33	Late mature
7	0.55	Late youthful or equilibrium

Prioritization of sub watershed on the basis of hypsometric integral

Surface runoff and sediment losses are two important hydrological responses of the rainfall events occurring over the watershed systems. The hypsometric integral value can be an indirect estimator of the erosion from the watershed systems.¹¹It is observed from the HI values (Table 3) that the sub-watersheds of both the watersheds are in the late youthful or equilibrium stage &mature stage and moving towards the peneplanation or the deteriorating stage. This revealed that the soil erosion from the sub-watersheds are derived primarily from the incision of channel beds, down slope movement of top soil and bed rock material, washout of soil mass and cutting of stream banks. Such land forms are also reflected in the different sub-watersheds of the study area. Topographic evidence of the study region indicates the landscape concavity due to river incision. While comparing hypsometric integral values of different stages, the sub watershed 2 of Khujuri Nala and sub watershed 1, 2 and 7 of Dala Nala watersheds were observed to be in equilibrium or late youthful stage.In equilibrium stage, the watershed is still under development. Higher value of HIshows that the watershed is tectonically active and more prone to erosion. The sub watershed 1, 3, 4 and 5 of KhajuriNala and 3, 4, 5 and 6 of Dala Nala were observed to be in mature or old stage. The mature or old stage occurs particularly, when isolated bodies of resistant rock from prominent hills are found above the subdued surface and is indicated by the disported hypsometric curve. Lower values of HIshow that the watershed is tectonically not active and less prone to erosion. It is understood that the hydrological response of the watersheds attaining mature stages will have slow rate of erosion.³¹So, the values of hypsometric integral of a sub watershed help in the prioritization of basin. For prioritization of sub watersheds, in KhurjiNala watershed sub watershed 2 has given top priority as it has hypsometric integral value 0.5 and sub watershed 4 has given second priority as it has hypsometric integral value 0.31 and subsequently the other sub watersheds in both the watersheds are prioritized. In Dala Nala watershed sub watershed 7 given first priority and sub watershed 2 given second priority and so on. Table 4 presents the prioritization of sub watersheds of Khurji Nala and Dala Nala watersheds.

Table 4: Prioritization of sub watersheds of Khurji Nala and Dala Nala watershed

Watershed	Hypsometric integral	Priority
答:Khurji娜娜子流域
1	0.21	4
2	0.5	1
3	0.3	3
4	0.31	2
5	0.2	5
B. Dala Nala sub watersheds
1	0.36	3
2	0.48	2
3	0.28	5
4	0.12	7
5	0.24	6
6	0.33	4
7	0.55	1

Conclusion

色的分析流域表达了有限公司mplexity of denudational processes and the rate of morphological changes. Therefore, it is useful to comprehend the erosion status of watersheds and prioritize them for undertaking soil and water conservation measures. The results of hypsometric analysis revealed that the sub watershed 2 of KhajuriNala and sub watershed 7 of Dala Nala are more prone to erosion in comparison to other sub watersheds under study which would necessitate construction of soil and water conservation structures at appropriate locations of these watersheds at top priority to arrest sediment outflow and conserve water.

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