3.2. RUSLE method
Basin-scale soil erosion assessment can be carried out by simple empirical models such as RUSLE and complex physical process-based models such as ANSWERS, EUROSEM, SWAT (Beasley et al., 1980; Gassman et al., 2007; Morgan et al., 1998). The RUSLE model (K. Renard et al., 1997), revised from the USLE model (Wischmeier & Smith, 1978), has been widely used to estimate soil erosion worldwide (Ganasri & Ramesh, 2016; Rajbanshi & Bhattacharya, 2020; Teng et al., 2018; Thomas et al., 2018; Zerihun et al., 2018). This model input datasets are easily available and less expensive to collect. The most important benefit of the RUSLE method is that it can be implemented in a grid-based GIS environment. It is more sensitive to the sheet and rill erosions but gully and channel erosions are not fully apprehended by this model. On the other hand, process-based models can evaluate detailed soil erosion from a different mode of occurrences but require high and sophisticated data and tools (Hajigholizadeh et al., 2018; Jetten et al., 2003; P. Li et al., 2017). To enable soil loss estimation in regions of scarce data and the use of these estimates by local stakeholders, it was vital to select a simple scheme or modeling method that is flexible for poor data availability and simulation of different scenarios based on local interventions on soil loss. Therefore, RUSLE method was used for soil erosion estimation in this study. The equation for soil loss simulation using the RUSLE method is as follows:
SE = R × K × LS × C × P (1)
where SE is the annual soil erosion (t ha− 1 yr− 1), R is the rainfall erosivity factor (MJ mm ha− 1 h− 1 yr− 1), K is the soil erodibility factor (t h MJ− 1 mm− 1), LS is the slope length and steepness factor, C is the land cover and management factor, and P is the conservation support practice factor. In this research, soil erosion using the RUSLE method was estimated in a 10 m × 10 m GIS grid.
3.2.1. Rainfall-runoff erosivity factor (R)
The R factor is a major parameter for soil erosion calculation. The absence of detailed rainfall data in the study area particularly storm kinetic energy (E) and maximum 30 min storm intensity (I30), makes the analytical calculation of R impossible. Therefore, indirect methods are suggested for R factor estimation using empirical equations (K. G. Renard & Freimund, 1994). The spatial distribution of erosivity was estimated using the Eq. (2) of Singh et al., 1981:
R = 79 + 0.363P (2)
where P is annual rainfall in mm. The annual average rainfall of the Kutubdia, Cox’s Bazar, and Teknaf stations were used for R estimation. The point-derived R values were then interpolated over the entire study region.
3.2.2. Soil erodibility factor (K)
The susceptibility of soil to be eroded by water is expressed by the K factor. It depends on the inherent properties of soil e.g., soil depth, texture, grain size, organic content, etc. (Auerswald et al., 2014; B. Wang et al., 2013). The nomograph-based equation proposed by Wischmeier and Smith, 1978 was used for soil erodibility factor estimation. The USGS and GSB joint produced surface geological maps of Bangladesh along with the field soil sample analysis was used to estimate different parameters of Eq. (3) for K estimation.
100 K = 2.1 × M1.14 × 10− 4 × (12 – a) + 3.25 × (b – 2) + 2.5 × (c – 3) (3)
where, M = [silt (%) + very fine sand (%)] × [100 - clay (%)]; a = organic matter (%); b = structure code in which (1) is very structured or particulate, (2) is fairly structured, (3) is slightly structured, and (4) is solid; c = profile permeability code in which (1) is rapid, (2) is moderate to rapid, (3) is moderate, (4) is moderate to slow, (5) is slow, and (6) very slow. The average value K estimated by Eq. (3) of the different soil type is shown in Table 2.
Table 2
Soil erodibility factor value for different soil types.
Soil Type
|
Geological Formation
|
Erodibility (K)
|
Sandy loam
|
Beach and Alluvial sand
|
0.27
|
Silt loam
|
Dihing and Undiffer. DupiTila + Dihing
|
0.30
|
Loam
|
DupiTila and Tipam sandstone
|
0.24
|
Silty clay
|
Girujan clay
|
0.22
|
Sandy clay loam
|
Bokabil and Bhuban
|
0.18
|
3.2.3. Slope length and steepness factor (LS)
The LS factor in the RUSLE method indicates the effect of topographic undulation on soil erosion (Panagos et al., 2015; Suhua et al., 2013). It is the combined impact of slope length (L) and slope steepness (S). The LS factor is dimensionless and obtained by using Eq. (4) of Wischmeier and Smith, 1978. This equation is frequently used for LS factor calculation (Ganasri & Ramesh, 2016).
LS = \({\left(\frac{\text{F}\text{A} \times \text{C}\text{e}\text{l}\text{l} \text{s}\text{i}\text{z}\text{e}}{22.13}\right)}^{m}\) × 0.065 + 0.045 S + 0.0065 S2 (4)
where, FA = flow accumulation; S = slope (percentage); and m = dimensionless exponent ranges from 0.2 to 0.5. The LS factor was directly calculated from SRTM 30 m DEM in GIS grid and then resampled down to 10 m.
3.2.4. Cover management factor (C)
The C factor determines the impact of land management practice on soil erosion intensity. In the RUSLE method, this factor estimates from landuse and cropping pattern, canopy cover, surface cover, etc. The C factor can also be estimated from NDVI based equation which was applied for this study (Alexakis et al., 2013).
$$C=exp\left[-\alpha \frac{NDVI}{\left(\beta -NDVI\right)}\right]$$
5
where, α = 1 and β = 2. The NDVI value was calculated in spatial dimension from red and near-infrared bands of Sentinel 2 images using the Eq. (6):
$$NDVI=\frac{NIR-Red}{NIR+Red}$$
6
where NIR = near-infrared band and Red = Red band.
3.2.5. Conservation practice factor (P)
The P factor represents the ratio of soil loss to the support practice on the up and down the slope of the agricultural (vegetation) conservation practices and is used to accommodate for the positive impacts of those support practices. The values closer to 0 indicate good conservation whereas the upper values (max. 1) are vice versa. In this study, the P factor value was assigned from previous studies based on landuse type and is shown in Table 3.
Table 3
P-factor value used for different landuse types for the present study area (Rajbanshi & Bhattacharya, 2020).
Landuse type
|
P-value
|
Waterbody
|
1
|
Built-up area
|
0.7
|
Mixed forest
|
0.75
|
Agricultural land
|
0.85
|
Barren land
|
0.95
|
The final soil erosion maps of 2015 and 2020 were classified into six categories: slight (< 50), moderate (50–100), high (100–150), very high (150–250), severe (250–350), and very severe (> 350); in which the unit is t ha− 1 yr− 1. The soil erosion value of the different administrative levels both in the Cox’s Bazar district and Rohingya camps were extracted from final soil erosion maps using the spatial analysis tool of ArcGIS 10.3 software.
3.3. Geographic detector method
The geographical detector method was used to detect the spatial heterogeneity of an event and assess the relationship between the event and potential risk factors (J. F. Wang et al., 2010). It is frequently used to measure the impact of the influencing factors on the derived final product (Gao & Wang, 2019; Guo et al., 2021). In this study, it was used to quantify the impact of different natural and anthropogenic factors on controlling the spatial distribution of soil erosion. The basis of the method is that if the sum of the variance of the subareas in a region is less than the variance of the total region, spatial heterogeneity exists in the area (J. Wang & Xu, 2017). With a geographical detector, the proportion of the spatial distribution of Y (the soil erosion in this study) that can be explained by X (influencing factors) is measured by a determinant (q value) as follows:
$$q=1- \frac{1}{N{\sigma }^{2}} \sum _{z=1}^{L}{N}_{z}{\sigma }_{z}^{2}$$
7
where σ2 is the variance of Y in the region, σz2 is the variation in zone Z divided by X, N is the number of sample units in zone Z, and L is the number of zones.
σ2 and σz2 can be expressed as Eqs. (8) and (9),
$${\sigma }_{z}^{2}= \frac{1}{{N}_{z}-1} {\sum }_{i=1}^{{N}_{z}}{\left({Y}_{z, i}- \stackrel{-}{{Y}_{z}}\right)}^{2}$$
8
$${\sigma }^{2}= \frac{1}{N-1} {\sum }_{j=1}^{N}{({Y}_{j}-\stackrel{-}{Y})}^{2}$$
9
where Yz,i, and Yj are the values of Y in the i-th sample unit of zone Z and the j-th sample unit of the entire region, respectively.
The input data for the geographical detector analysis include Y: soil erosion results, and X: influencing factors (slope, elevation, NDVI, rainfall, lithology, and landuse) were categorical. The continuous factor maps were categorized using the natural break attributes of the ArcGIS software.