Analysing the morphometric parameters is the most expedient and parsimonious way of representing the hydrologic and physiographic attributes of river basins. The present study attempts to measure the morphometric parameters for assessing the understanding of morphological, hydrological, and physiographic properties of the south-western part of the Ganges delta. Parameters were analysed from Shuttle Radar Topography Mission's (SRTM) maps and total of eight linear, six areal, eight relief, and five drainage texture parameters have taken with hypsometric analysis for the four major rivers and two tributary river basins. The values of linear parameter denote that most of the streams (82%) fall in first order, and other orders have homogeneous underline materials. The aerial parameters represent low peak discharge and the upper region is less vulnerable to flood. The relief parameter values show that the entire basin has low surface runoff and they are less erosional (slope < 3.97°). The drainage density indicates the coarser nature and circularity ratio (0.08) represents the elongated shape. The southern portion of the basin has a greater flood potential and hypsometric index (0.49) shows the entire basin is in mature stage of formation. These results would be helpful for reckoning the watersheds for drainage management and environmental planning for ecological management and sustainable development.

  • Diversified hydro-geographic parameters were investigated for one of the major economic regions in Bangladesh.

  • Rho coefficient values denoting erosion repulsion and less flood potentiality via CR and ER.

  • Homogeneous baseline material and elongated shape of basins that are easy to control.

  • HI represents the mature stage where high-resolution DEM data would be effective to calculate the flood potential.

Watercourses in nature have a significant impact on and shape the physical environment where the river basins efficiently define its spatial boundaries. The term ‘morphometry’ refers to the science of determining the structure of the earth's surface, including the shape and scale of its landforms, by measuring and studying them (Bárdossy & Schmidt 2002; Kulkarni 2013; Shrivastava et al. 2017). It depicts the measurement of shapes and is used to quantitatively describe landforms. Drainage basin analysis using morphometric parameters is critical for watershed planning because it gives details on the basin's slope, topography, soil quality, drainage characteristics, and surface runoff generation. Those characteristics help to determine some major essential aspects like ground infiltration capacity, surface water potential, groundwater potential, hydrological behaviour, and environmental assessment (Chandrashekar et al. 2015; Albaroot et al. 2018). A comprehensive morphometric analysis of a drainage basin is required to fully comprehend the effects of drainage morphometry on landforms and their features. This is because the physiographic characteristics of a drainage basin, such as its scale, form, texture, pattern, gradient, and drainage density, can be linked to a variety of hydrological phenomena. Developing and using techniques to measure the land exteriors, morphometric analysis helps to show the drainage basin by exposing the related hydrological and geomorphic processes that take place in the basin (Albaroot et al. 2018). It also provides the framework for a thorough assessment of the flood risk, vulnerability, and hazard in the basin. Horton (1932) first initiated the morphometric analysis in the field of stream basins, and since then the area of interest was chosen by many contemporary researchers (Horton 1945; Strahler 1952, 1964; Schumm 1956, 1963). According to Strahler (1964), measuring a drainage basin's linear, areal, and relief (gradient) properties is necessary for a thorough analysis of its morphometry. The linear characteristics of a drainage basin are closely related to the drainage system's stream patterns, where the topological characteristics of the streams in relation to open connectivity are analysed. It addresses variables including stream order, stream number, stream length, bifurcation ratios, and Rho coefficients (Chandrashekar et al. 2015; Venkatesh & Anshumali 2019). In order to produce a numerical representation of the landscape division and runoff potential, drainage density is often determined with the help of research on aerial features. In this aspect, parameters such as the basin's extent factors, length of surface runoff, stream frequency, drainage density and texture, elongation ratio (ER), circularity ratio (CR), form factor, compactness coefficient, constant of channel maintenance, time of concentration, and recession are all interpreted (Bárdossy & Schmidt 2002; Oyedotun 2020). The analysis of three-dimensional features involving area, volume, and altitude of vertical dimension of landforms, is intrinsically linked to the gradient (relief) aspects of drainage basins in order to investigate various geohydrological characteristics. For the investigation of relief aspects, common criteria include total basin relief, relief ratio, relative relief ratio, ruggedness number, Melton ruggedness number, ruggedness index, slope analysis, and dissection index (Oyedotun 2020).

Through the use of morphometric analysis, Mahala (2020) demonstrated disparities in flood potentiality, geological and geomorphological control, and the volume of drainage water between the Kangsabati River and Kosi River in India. The geomorphological parameters (stream length, slope, and degradation) are the most important criteria, according to Bárdossy & Schmidt (2002) and they also set the limit of parameters for morphometric-based analysis for evaluating stream water quality.

Various researchers from all across the world have conducted morphometric analyses of several drainage basins using different approaches based on their ideology. Faisal (2021) used the analytical hierarchy process (AHP) through GIS for building up the geographic model using 14 morphometric parameters for the sub-watershed in the Bastora river basin. Geographical information systems (GIS) have been used as the most viable one to determine different basin parameters where digital elevation model data available from the Shuttle Radar Topography Mission (SRTM) and Advanced Spaceborne Thermal Emission and Reflection Radiometer (ASTER) is used for effective determination, interpretation, and study of spatial knowledge relevant to drainage basins. According to certain research, ASTER and SRTM are both excellent alternatives to local 1:50,000 hypsographic data and are both valuable in absolute and relative terms (Albaroot et al. 2018; Oyedotun 2020). These global elevation data sets can be used to analyse several surface processes precisely, described by the relative assessment that focuses mostly on hydrological systems. This is immensely helpful for geomorphologists. Studies on water and land resource management are greatly needed, particularly in Bangladesh's Khulna division where uncontrolled expansion is putting the resources in jeopardy (Rahaman et al. 2017). The majority of studies calculated the morphometric values to do the river basin analysis, while a small number attempted to identify the morphometric values from various morpho-climatic conditions. Again, Bangladesh is a river-prone country, although this type of morphometric analysis is done a little from that perspective. The majority of research investigations are conducted in either the north-western (Rahaman et al. 2017) or the central regions of the nation, mostly ignoring the significant south-western region (which is also a part of the huge Ganges delta). Additionally, the research area's soil quality and agricultural land production have also been impacted by the degrading water quality. Ecosystems are deteriorating to the point where without quick intervention, they will sustain irreparable harm. Understanding the physiographic status of the land in this context requires morphometric study. Therefore, the current study aims to quantify and evaluate the morphometric parameters in order to better understand the physiographic characteristics of the south-western part of Ganges delta watershed (primarily covering the Khulna division) as well as its hydrological and geomorphic processes. This will provide a strong foundation for the management of the watershed for the optimum development of the resources within it and will also serve as a solid guideline for future studies.

Study area

The study area of this research falls in the south-western part of Bangladesh as well as the world's largest river delta, called the ‘Ganges Delta or Bengal Delta’ in Bangladesh. The basins are highly influential for economic development as well as also vulnerable to natural calamities due to low elevation from the sea level. Khulna Divisional boundary was chosen for the catchment of the river basins (Baleshwar, Bhairab, Kholpetua, Mayur, Pasur, and Rupsha River), which are mainly tributaries of the Ganges and Padma River with NW to SW flow direction in the Khulna region of southwest Bangladesh, located between latitudes 88°71′ and 89°80′N and longitudes 21°71′ and 24°06′E, draining a total area of about 10,670 km2 of which 97.81% is in Khulna and 2.18% in Dhaka Division (Figure 1). The rivers flow across different districts, i.e., Kustia, Chuadanga, Jhenaidah, Magura, Narail, Jessore, and Khulna of Bangladesh and meet the Bay of Bengal. A tropical monsoon climate prevails throughout the region. The average annual temperature is 26.3 °C (79.3 °F), and the average monthly temperature ranges from 12.4 °C (54.3 °F) in January to 34.3 °C (93.7 °F) in May. The average annual rainfall is 1,809.4 millimetres (71.24 in), with around 87% of that falling between May and October (Bangladesh Meteorological Department 2021). The main rivers that contribute to this development in the western half of the Ganges delta are the Baleshwar, Bhairab, Pasur, and Rupsha (Akter et al. 2016). These rivers join the Bay of Bengal after flowing through the Sundarbans.
Figure 1

Location of the study area with its elevation.

Figure 1

Location of the study area with its elevation.

Close modal

Data and approaches

The entire morphometric analysis was carried out within the south-western basin, which was created using the ArcGIS 10.3.1 watershed delineation approach based on SRTM DEM. For this study, SRTM DEMs data with a 30-meter spatial resolution were downloaded from the ‘OpenTopography’ website (https://opentopography.org). This platform now has updated data that was produced with the aid of auxiliary DEMs and enhanced interpolation methods. As a result, this edition marks a significant improvement in the data accuracy of DEMs. The software process along with associated approaches are shown in Figure 2.
Figure 2

Steps involved in morphometric analysis.

Figure 2

Steps involved in morphometric analysis.

Close modal

Parameters of the basin such as its area, perimeter, length, and width, as well as the number and length of streams in various stream orders, are automatically extracted using ArcGIS tools. Again, stream length ratio, bifurcation ratio, rho coefficient, stream frequency, drainage density, drainage texture, circulatory ratio, elongation ratio, form factor, etc., are derived from those parameters using several pre-established formulae given in Equations (1)–(20). The Digital Terrain Model (DTM)-based approach also produces flow direction and flow accumulation.

Stream order (U) and stream number (Nu)

According to Strahler (1952), hierarchical rank determines stream order (U) and is described as a way to gauge where a stream stands in relation to other tributaries (Leopold et al. 1964). For this study, the ordering system invented by Strahler (1964) was chosen. According to Strahler (1964), the smallest fingerprint tributaries are numbered in the first order. A second-order stream forms when two first-order streams collide. A third-order stream forms when two second-order streams combine, and so forth. The stream order is influenced by the basin's size, shape, and terrain characteristics. In the study region, stream orders are categorized into eight categories. The stream number (Nu) in Equation (1) (Horton 1945) is defined as the number of stream segments in each order (Venkatesh & Anshumali 2019):
(1)

Stream length (Lu) and mean stream length (Lsm)

Stream length (Lu) is the sum of the lengths of each succeeding stream segment in the basin (Shrivastava et al. 2017). It is the evaluation of the hydrological characteristics and drainage area of bedrock. The length of streams as a whole is often at its maximum in the first order, and it decreases as stream order increases. The deviations from this pattern reveal lithological variances (Mahala 2020). The average stream length (Lsm) measures the size of a drainage network component and the surface area that it contributes to Strahler (1964). It is proportionate to the size and terrain of the drainage basin (Kulkarni 2013). It is computed by dividing the total stream length of each order by the number of streams characterized by that order and expressed in kilometres:
(2)

The stream length ratio (Lur)

The stream length ratio (Lur) is linked to the basin's surface flow and discharge, as well as the basin's erosion stage (Kulkarni 2013). It is significantly influenced by topography and slope (Shrivastava et al. 2017) and is a unitless expression in Equation (3):
(3)

Bifurcation ratio (Rb) and mean bifurcation ratio (Rbm)

The bifurcation ratio (Rb) is the ratio of one order's number of streams to the number of streams in the next higher level (Strahler 1964). It's a dimensionless feature that describes how well streams of various orders are integrated within a drainage basin. Bifurcation ratio (Rb) of less than 5 represents the homogeneity and uniformity of the underline basin material (Chandrashekar et al. 2015). The bifurcation ratio (Rb) and the mean bifurcation ratio (Rbm) are defined as follows in Equations (4) and (5), where Lb is the basin length and A is the basin area (Strahler 1964):
(4)
(5)

The rho coefficient (ρ)

The rho coefficient (ρ) is a crucial morphometric variable that measures the storage capacity of the drainage network and ties drainage density to basin physiographic development. It influences how much drainage will eventually emerge in a particular watershed. It is defined as the ratio between stream length ratio and bifurcation ratio (Equation (6)) (Horton 1945):
(6)

Basin perimeter (P), length (Lb), and area (A)

Perimeter (P) (km), basin length (Lb) (km), and basin area (A) (km2) are drawn from digital elevation modelling (DEM) (Schumm 1956). The basin length is the longest length measured from the headwaters to the confluence point of the basin. A basin with a small area represents greater rapidity of rainwater flow to the channel than a larger basin (Shrivastava et al. 2017).

Mean basin width (Wb), lemniscate (k) value, and form factor (Rf)

The mean basin width (Wb) is the ratio of basin area and basin length (Equation (7)) (Horton 1932). The lemniscate (k) (Equation (8)) value is a significant areal aspect parameter for determining the slope of the watershed. It is defined as the ratio of the watershed's length along the mainstream to its area (Chorley 1957). The form factor (Rf) (Equation (9)) is a ratio of the basin area to the square of the basin length. It is used to estimate the flow intensity of a basin within a given range (Horton 1945):
(7)
(8)
(9)

Height (z, Z), total relief (H)

The height of the basin mouth (z) and the maximum height of the basin (Z) are vital components of geomorphological investigations for watershed development and morphometric analysis (Shrivastava et al. 2017) extracted from DEM.

Total basin relief (H) (m) refers to the difference in the elevation between the highest and lowest points on the valley floor of the drainage basin. It is a significant determinant of a drainage system shown by the elevation. Equation (10) of total relief is derived from Strahler (1952):
(10)

The relief ratio (Rh) and relative relief ratio (Rhp)

The relief ratio (Rh) (Equation (11)) is defined as the highest relief to lateral distance along with the basin's longest dimension collateral to the main drainage line (Schumm 1956). It is used for measuring the gradient of the basin:
(11)
Relative relief ratio (Rhp) (Equation (12)) is calculated by dividing total basin relief by basin perimeter (Melton 1957):
(12)

The ruggedness number (Rn) and the Melton ruggedness number (MRn)

The ruggedness number (Rn) results from total basin relief and drainage density (Strahler 1964). It is used for measuring the impact on the structural complexity and erosion potential of the landforms. Equation (13) for the ruggedness number is derived from Patton & Baker (1976), where Dd is the drainage density. The Melton ruggedness number (MRn) (Equation (14)) is a slope index that provides a specialized representation of relief ruggedness within the drainage basin (Melton 1957):
(13)
(14)

Slope (Sa) and aspect

The slope of the basin surface is its steepness, and an aspect is often the direction that a slope faces. Microclimates are directly impacted by factors, especially in dry and semi-arid regions. To depict the spatial variation of the aspect in this study, the slope and aspect map is produced from the SRTM DEM.

Drainage density (Dd) and the stream frequency (Fs)

The drainage density (Dd) is the stream length per unit area in the basin area (Horton 1945) and it is a vital element of drainage texture analysis. Equation (15) is derived for the drainage density from Horton (1932). The drainage basin is classified into five different textures such as very coarse (<2), coarse (2–4), moderate (4–6), fine (6–8), and very fine (>8) in this study, based on the drainage density. The stream frequency (Fs) of a basin refers to the number of streams per unit area (Equation (16)) (Horton 1945):
(15)
(16)

Circularity ratio (CR) (Rc)

Circularity ratio (Rc) (Equation (17)) is defined as the ratio of a basin's area to an area of a circle with the same circumference as the basin's perimeter (Strahler 1964). The value of Rc ranges from 0 (minimum circularity) to 1 (maximum circularity):
(17)

Elongation ratio (ER) (Re) and constant of channel maintenance (C)

Elongation ratio (Re) is the ratio of the diameter of a circle with the same area as the basin to the maximum length of the basin (Equation (18)) (Schumm 1956). Due to its role in identifying a drainage basin's hydrological characteristics, it is a crucial index in basin shape study (Shrivastava et al. 2017). In order to define the overland flow, the parameter known as constant of channel maintenance (C), refers to the reciprocal of drainage density (Equation (19)) (Schumm 1956):
(18)
(19)
The general slope and drainage basin morphologies were first expressed using hypsometric analysis by Langbein (1947). The hypsometric analysis is the study of how a landmass's ground surface area or horizontal cross-sectional area varies with respect to the elevation (Strahler 1952). Its objective is to provide a dimensionless connection between the watershed's horizontal cross-sectional area and its elevation, enabling comparison of watersheds independent of scale limitations. The hypsometric analysis produces the hypsometric index or integral as well as the hypsometric curve. The drainage basin's hypsometric curve shows the relative area below (or above) a particular height (Strahler 1952). By figuring out the integral of the hypsometric curve for the drainage basin, the hypsometric integral (HI) can be computed. According to Wood & Snell (1960), the proportion of upland to lowland areas in a sample region is expressed by HI, and is defined as (Equation (20)):
(20)
where HI is the hypsometric integral; Emean is the weighted mean elevation of the basin; Emin and Emax are the minima and maximum elevations within the basin.

Linear parameters

The parameters considered for assessing the linear aspects are computed according to the standard mathematical formulae shown in Equations (1)–(6). Values of the parameters of the linear aspect are presented in Table 1 and are discussed below:

Table 1

Linear morphometric parameter values of river basins

ParametersValueTotal
Stream order (U 
Stream number (Nu458,764 50,853 21,820 11,236 6,431 2,080 2,039 4,296 557,519 
Stream length (Lu) (km) 27,304.8 6,926.71 3,136.98 1,609.89 802.09 325.57 259.08 382.74 40,747.80 
Mean stream length (Lsm) (km) 0.059 0.136 0.144 0.143 0.125 0.157 0.127 0.089 0.073 
Stream length ratio (Lur– 0.254 0.453 0.51 0.498 0.406 0.796 1.477  
Bifurcation ratio (Rb9.021 2.331 1.942 1.748 3.092 1.020 0.475 –  
Rho coefficient (ρ– 0.109 0.233 0.294 0.161 0.398 1.677 – 2.872 
Mean bifurcation ratio (Rbm2.804  
ParametersValueTotal
Stream order (U 
Stream number (Nu458,764 50,853 21,820 11,236 6,431 2,080 2,039 4,296 557,519 
Stream length (Lu) (km) 27,304.8 6,926.71 3,136.98 1,609.89 802.09 325.57 259.08 382.74 40,747.80 
Mean stream length (Lsm) (km) 0.059 0.136 0.144 0.143 0.125 0.157 0.127 0.089 0.073 
Stream length ratio (Lur– 0.254 0.453 0.51 0.498 0.406 0.796 1.477  
Bifurcation ratio (Rb9.021 2.331 1.942 1.748 3.092 1.020 0.475 –  
Rho coefficient (ρ– 0.109 0.233 0.294 0.161 0.398 1.677 – 2.872 
Mean bifurcation ratio (Rbm2.804  

The hierarchical diversity of the stream and its number

In Table 1, the stream order (U) shows the hierarchical diversity of the basin in ascending order, where the relationship between stream number (Nu) and stream order is inverse. A total of 557,519 streams are present in the basin of which 82.29% are first-order streams, having 458,764 segments. Second-order stream segments account for 9.12%, whereas third- and fourth-order stream segments account for 3.91 and 2.02%, respectively. Similarly, fifth, sixth, seventh, and eighth-order stream segments account for 1.15, 0.37, 0.37, and 0.77%, respectively. Higher-order streams are less common because of the alluvial deposited plain course, whereas lower-order streams are more numerous because of the presence of young topography next to the stream in question. Figure 3(a) depicts the diversification of the streams and their orders, with the first-order streams dominating since the catchment is adequate to support superficial draining. From the second-order stream, there is a sharp decline in the number of streams, pointing to a significant morphological shift. The abundance of lower-order streams increases the amount of water received, resulting in massive water flux in the basin's lower reaches. The basin-wide dominance of erosional landforms is demonstrated by a persistent drop in stream number relative to stream order (with the exception of the ninth order) (Mahala 2020). The density of drainage per square kilometre area is shown in Figure 3(b) into five classes.
Figure 3

(a) Stream order and their formability and (b) drainage texture level indication by drainage density of the study area.

Figure 3

(a) Stream order and their formability and (b) drainage texture level indication by drainage density of the study area.

Close modal
Figure 4 depicts the inverse relationship with the logarithmic transform of stream number and order. The value of R2 is also close to 1, indicating a good fit to the data (Chicco et al. 2021).
Figure 4

Logarithm regression of stream number (Nu) with stream order (U).

Figure 4

Logarithm regression of stream number (Nu) with stream order (U).

Close modal

Geomorphology explained by stream length attributes

In Figure 5, the maximum stream length is clearly indicated by the first order. Along with increasing stream order, the stream length decreases up to the seventh order, but the eighth order has a longer stream length than the sixth and seventh order. The inconsistencies in stream length of eighth order suggest that the river basin is under geological and morphological control.
Figure 5

Logarithm association between stream order (U) and stream length (Lu).

Figure 5

Logarithm association between stream order (U) and stream length (Lu).

Close modal

The variation of mean stream length values for the drainage basin (0.06–0.16 km) in Table 1 and the values of the stream length ratio (Lur) (0.25–1.48) indicate that the area contains fairly resistant rocks, moderate slope, and topography (Radwan et al. 2017). The drainage basin shows stream length ratio values of less than 2 indicating the mature stage of geomorphic development (Shrivastava et al. 2017).

Water stress and formation material properties

The values of the bifurcation ratio (Rb) in this study denote a mean value of 2.80. Such discrepancies in Rb values among the stream orders demonstrate variations in the geological and lithological characteristics of the basin (Venkatesh & Anshumali 2019). The first-order stream's high Rb value (9.02) shows that the upper basin area got a significant amount of water. Once more, the low Rb value (0.47–3.09) in the second to ninth stream orders indicates an increase in water pressure at lower reaches. A low mean Rb also indicates that there is water stress in the drainage basin (Mahala 2020). As the ratios are less than 5 (except first order), it expresses the uniformity of underlined materials of all other order basin layers (Chandrashekar et al. 2015).

The rho coefficient (ρ) is represented in Table 1 as the proportion of stream length to bifurcation ratio. The drainage basin showed a high rho variation, indicating high hydrological storage during the flood period thus attenuating the erosion effect during the elevated discharge (Venkatesh & Anshumali 2019).

The areal characteristics of a basin are its two-dimensional qualities. Table 2 gives the detailed results of the areal aspect parameters. The equations for the calculation of areal aspect elements are listed in Equations (7)–(9) and discussed below:

Table 2

Preselected areal parameters values for the study area

ParametersValue
Basin perimeter (P) (km) 1,297.30 
Basin length (Lb) (km) 265.20 
Basin area (A) (km210,670.00 
Mean basin width (Wb) (km) 40.23 
Lemniscate (k6.59 
Form factor ratio (Rf0.15 
ParametersValue
Basin perimeter (P) (km) 1,297.30 
Basin length (Lb) (km) 265.20 
Basin area (A) (km210,670.00 
Mean basin width (Wb) (km) 40.23 
Lemniscate (k6.59 
Form factor ratio (Rf0.15 

Water catchment properties

In Table 2, the total area (A) and its perimeter (P) indicate that the area has a vast coverage where rainwater needs to flow more paths to reach the channel. In addition, basin length expresses basin shape; therefore, in this case, a high basin length indicates a more extended basin. Additionally, the length of the study area's basin displays the basin's elongated shape, which stands for its hydrological characteristics.

Peak discharge characteristics

The lemniscate (k) determines the gradient of the basin. Its value for the drainage basin is 6.59, which shows that the maximum inception area is comprised of large higher-order stream numbers (Kumar et al. 2018).

The form factor (Ff) expresses a basin with a high value has a high peak flow for a short period, whereas elongated basins with a low form factor have a low peak flow over a longer period (Shrivastava et al. 2017). As a result, flood flows in elongated basins are simpler to manage than those in circular basins. The form factor value of the basin shows that it is elongated and devoid of any abrupt peak discharges close to the outflow.

The relief aspect is critical for analysing the erosive feature of the basin. The parameters considered for assessing the relief aspects are calculated according to the standard mathematical equation shown in Equations (10)–(14). The results are presented in Table 3 and discussed below:

Table 3

Values of corresponding relief parameters of Khulna basin

ParametersValue
Height of basin mouth (z) (m) 5.00 
Maximum height of the basin (Z) (m) 45.00 
Total basin relief (H) (m) 40.00 
Relief ratio (Rh) m 0.15 
Relative relief ratio (Rhp3.08 
Ruggedness number (Rn0.15 
Melton ruggedness number (MRn0.39 
Slop analysis (Sa) (°) 0°–25°24′ 
ParametersValue
Height of basin mouth (z) (m) 5.00 
Maximum height of the basin (Z) (m) 45.00 
Total basin relief (H) (m) 40.00 
Relief ratio (Rh) m 0.15 
Relative relief ratio (Rhp3.08 
Ruggedness number (Rn0.15 
Melton ruggedness number (MRn0.39 
Slop analysis (Sa) (°) 0°–25°24′ 

Surface runoff and sediment condition

Total basin relief (H) is critical to comprehending the basin's denudation features, as well as stream gradient, flood pattern, and sediment volume that can be transported. The total relief of the basin is 40 m indicating high infiltration and low surface runoff condition and consequently decreased sediment load and erosion rate in the study area (Venkatesh & Anshumali 2019).

The overall steepness of a basin is typically indicated by the relief ratio (Rh), which may also be impacted by a single, isolated peak in the basin region. While a moderate slope and low relief are associated with a low relief ratio, a steep slope and high relief are associated with a high relief ratio (Albaroot et al. 2018). Khulna basin's Rh value indicates that it has an overall gentle slope and low relief.

Relative relief (Rhp) and relief values in terms of structural control are good indications of lithology changes. Low values imply clastic or less resistant rock in contrast to high values (Al-Saady et al. 2016). Rhp value of the Khulna drainage basin represents a relatively low value (Table 3).

Flood potentiality

The research area is less prone to erosion since the ruggedness number (Rn) (0.15) is low, implying a mature basin with good drainage density and a moderate slope (Venkatesh & Anshumali 2019). The Khulna basin's Melton ruggedness number (MRn) value indicates that the basin is vulnerable to debris floods (Wilford et al. 2004; Table 3).

Erosion propensity by slope analysis

Slope analysis (Sa) helps to determine the drainage basin's erosion trends. If all other factors remain constant, the greater the percentage of slopes, the greater the erosion. The slope range of the basin expresses its lower tendency to erosion. The slope map (Figure 6(a)) for the Khulna drainage basin was created using SRTM DEM. The slope is divided into seven distinct groups in Table 4 using Integrated Mission for Sustainable Development (IMSD) classification (IMSD 1995). About 96% of the area has a slope less than 3.97°, which indicates nearly level to moderate terrain conditions.
Table 4

Slope classes in the river basin according to IMSD classification

Slope categoriesSlope (%)Slope (°)Area (km2)Area (%)
Nearly level <1 <0.39 1,345.86 12.61 
Very gentle 1–3 0.39–1.19 2,672.28 25.04 
Gentle 3–5 1.19–1.98 3,185.81 29.86 
Moderate 5–10 1.98–3.97 3,048.31 28.57 
Strong 10–15 3.97–5.95 347.66 3.26 
Moderately steep-steep 15–35 5.95–13.90 69.94 0.66 
Very steep >35 >13.90 0.44 0.00 
Slope categoriesSlope (%)Slope (°)Area (km2)Area (%)
Nearly level <1 <0.39 1,345.86 12.61 
Very gentle 1–3 0.39–1.19 2,672.28 25.04 
Gentle 3–5 1.19–1.98 3,185.81 29.86 
Moderate 5–10 1.98–3.97 3,048.31 28.57 
Strong 10–15 3.97–5.95 347.66 3.26 
Moderately steep-steep 15–35 5.95–13.90 69.94 0.66 
Very steep >35 >13.90 0.44 0.00 
Figure 6

(a) Slope map and (b) spatial variation of the aspect of the study area.

Figure 6

(a) Slope map and (b) spatial variation of the aspect of the study area.

Close modal

Vegetation pattern explained by aspect

The aspect map (Figure 6(b)) of the Khulna drainage basin constructed using SRTM DEM shows the spatial variation of the aspect. As they are exposed to different micrometeorological conditions, sun-facing and shaded slopes in dry and semi-arid regions have different vegetation patterns. Additionally, because the moisture content is retained longer on the shaded side, the density of vegetation cover on shaded slopes is typically higher than on sun-facing slopes (Al-Saady et al. 2016). The basin showed 34.57% of the area has an NE–E–SE aspect of slope that is oriented towards sunlight during the warmest hours of the day and hence hotter than all the other sides (Table 5). Many of the parameters will experience differential exposures to sun and shadow because of the microclimate variance, which might result in differences in drainage density, vegetation cover, and erosion rate.

Table 5

Areal extent of aspect of the river basin

ValueCountAspectaArea (km2)Area (%)
1,037,178 Flat 947.56 8.88 
1,272,914 1,162.93 10.90 
1,314,883 NE 1,201.27 11.26 
1,348,654 1,232.12 11.55 
1,372,998 SE 1,254.37 11.76 
1,286,538 1,175.38 11.02 
1,323,364 SW 1,209.02 11.33 
1,354,377 1,237.35 11.60 
1,368,548 NW 1,250.30 11.72 
ValueCountAspectaArea (km2)Area (%)
1,037,178 Flat 947.56 8.88 
1,272,914 1,162.93 10.90 
1,314,883 NE 1,201.27 11.26 
1,348,654 1,232.12 11.55 
1,372,998 SE 1,254.37 11.76 
1,286,538 1,175.38 11.02 
1,323,364 SW 1,209.02 11.33 
1,354,377 1,237.35 11.60 
1,368,548 NW 1,250.30 11.72 

aN, North; NE, Northeast; E, East; W, West; NW, Northwest; SW, Southwest; S, South; SE, Southeast.

Drainage texture analysis entails investigating the features of drainage networks and the layout of streams carved into the land surface by drainage systems. Table 6 gives the detailed results of the drainage texture parameters. The equations for the calculation of drainage texture elements are listed in Equations (15)–(19) and discussed below:

Table 6

Drainage texture parameter aspects of the south-western part of the Ganges delta

ParametersValue
Drainage density (Dd) (km/km23.82 
Stream frequency (Fs) (number/km252.25 
Circularity ratio (Rc0.08 
Elongation ratio (Re0.44 
Constant of channel maintenance (C) (km2/km) 0.26 
ParametersValue
Drainage density (Dd) (km/km23.82 
Stream frequency (Fs) (number/km252.25 
Circularity ratio (Rc0.08 
Elongation ratio (Re0.44 
Constant of channel maintenance (C) (km2/km) 0.26 

Exposure to rainfall and elongation properties

The stream frequency (Fs) largely depends on the basin's lithology including the drainage network's texture (Albaroot et al. 2018). The extent of division and runoff is directly related to stream frequency, whereas mean annual rainfall is inversely related. Therefore, the basin is predicted to have low mean annual rainfall while having a significant degree of division and runoff, as shown by the higher Fs value (52.25 streams/km2).

The circularity ratio (Rc) depends on drainage density, climate, geological structure, slope, relief, etc., of any basin. The high value of Rc in the drainage basin suggests that peak discharge occurs during the period of high rainfall. The Rc value is also a good indicator of the geomorphological evolution of a basin. The high, medium, and low values of Rc indicate the old, mature, and young levels of geomorphic changes in each basin (Mahala 2020). The Rc value of the basin suggests elongated properties. It also makes reference to the basin's modest peak discharge.

With the use of the elongation ratio (Re), Kulkarni (2013) classified the varying slopes of the basin as round (0.9–0.10), oval (0.8–0.9), less elongated (0.7–0.8), elongated (0.5–0.7), and more elongated (<0.5). The basin's Re value indicates that it is more elongated and has low peak discharge (as the elongated value range is 0.5–0.7, and the more elongated is <0.5).

Accessibility to channel management

The constant of channel maintenance (C) is the inverse of drainage density and is used as a parameter to determine surface runoff (Schumm 1956). Indirectly, it denotes the required minimum area for the management and development of the channel. The low value of the constant (Table 6) implies greater flood potential with young geomorphological adjustment (Mahala 2020). In Figure 7(a), most of the flows are directed on the south-western side and the flow accumulation value (>1,000) represents the area that is easier to runoff formation (Figure 7(b)).
Figure 7

(a) Flow direction and (b) flow accumulation map of the study area.

Figure 7

(a) Flow direction and (b) flow accumulation map of the study area.

Close modal

Profile of drainage texture

In order to support Horton (1945) infiltration hypothesis of erosion, Melton (1957) found that drainage density is related to the percentage of bare land and the intensity-frequency of runoff, but inversely proportional to the precipitation-effectiveness index and infiltration capacity. The value of Dd (Table 6) for the basin in the current study implies that the basin has a coarse texture (Table 7).

Table 7

Drainage texture status of the study area according to drainage density

Drainage textureDrainage densityArea (km2)Area (%)
Very coarse < 2 333.70 3.19 
Coarse 2–4 1,642.18 15.39 
Moderate 4–6 5,418.37 50.78 
Fine 6–8 2,221.19 20.81 
Very fine > 8 1,054.84 9.88 
Drainage textureDrainage densityArea (km2)Area (%)
Very coarse < 2 333.70 3.19 
Coarse 2–4 1,642.18 15.39 
Moderate 4–6 5,418.37 50.78 
Fine 6–8 2,221.19 20.81 
Very fine > 8 1,054.84 9.88 

Hypsometric curves in Figure 8 and integrals express the drainage basin's level of development (Al-Saady et al. 2016). These are essential for prioritizing soil and water conservation measures and assessing the erosion status in the watershed.
Figure 8

Hypsometric curve of drainage basin of south-western Ganges delta.

Figure 8

Hypsometric curve of drainage basin of south-western Ganges delta.

Close modal

According to Strahler (1952), young (disequilibrium phase) landforms have convex-up curves with HI > 0.6; mature (equilibrium phase) landforms have S-shaped curves with HI in the range of 0.3–0.6; and old and severely dissected landforms have concave up curves with HI < 0.3. The value of HI for the basin is 0.49 which indicates that it is in the mature stage.

The study draws the conclusion that the parameters have a wide range of opportunities to reveal the morphological and physiographic characteristics of any stream basin after evaluating the results and considering a variety of literary works. The river basins in the south-western section (Baleshwar, Bhairab, Pasur, Rupsha, Kholpetua, and Mayur) have an impact on the economic, ecological, and social elements of the area, where morphometric values show the best representation of basin features (Akter et al. 2016).

The majority of the streams are in first order among the linear parameters, where the order is inversely proportionate to the number of streams, indicating alluvial deposition and water abundance. It is also found that the basins have formation maturity and uniformity of the base materials in the basin. Additionally, the rho coefficient values in the top part of the basin reveal erosion repulsion ability. The areal morphology of the basin areas indicates that it has a huge catchment area and relatively low peak discharge that ensures more flood resilience (through form factor). The value of the total basin relief is a representation of lower sedimentation load with erosion susceptibility of the study area due to the gentle slope. Moreover, all the basins are moderate terrain nature (avg. slope <3.97°), and the sun-facing aspect make it a relatively warmer region. The basin areas are coarse in texture according to density characteristics, and the whole network has a high extent of annual rainfall runoff. Although the entire basin has an elongated shape, the young geomorphological adjustment is subject to more flood potential in the condition of high peak discharge.

Although some of the metrics can change depending on the various morpho-climatic and hydrological circumstances in other regions, it is the most effective technique to distinguish between distinct basin areas. Despite the study's foundation on a comprehensive scientific analysis of many morphometric characteristics, some restrictions must be acknowledged. This study uses remote sensing and GIS and gives a broad assessment of the physiographic parameters but it does not use any reconnaissance surveys. The major rivers of the south-western part of the Ganges delta pass through the Sundarbans area, controlling its ecological and economical values. Application of GIS and remote sensing are the fruitful assessment of morphometric attributes of such areas. The parameters can be further developed in future studies, additional high-resolution data can be used to reveal more features, and the results can be used by the relevant authorities for hydromorphological and environmental planning in this area.

The tables’ results and map data are available at the following link: https://drive.google.com/drive/folders/1ga6Q-2T6VH8HZWS_JY1kam98US3HA87K?usp=sharing.

M.A.R.J. contributed to analysis tools selection, validation, and performed the analysis; S.U. designed the study, reviewed the literature, and wrote the manuscript; K.F. helped in writing the draft manuscript and interpretation of the analysis; F.M.R.A. collected the data and helped in factor selections. The final manuscript was revised by all authors.

All relevant data are available from the online repositories linked in https://opentopography.org/ and https://cutt.ly/265lmsZ.

The authors declare there is no conflict.

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