2.1. Description of the study area
The republic of Tunisia, located in the North of African continent, is situated between 30°13’ and 37°20’ north latitude and 7°32’ and 11°36’ east longitude (
Figure 1). It is located also in the south part of the Mediterranean Sea and bordered by Lybia at the South-East and by Algeria at the West. The study area covers 155084 km
2, including the two main islands (Jerba and Kerkennah) but without the other small islands, such as Kneiss, Zembra, Kuriat, Galite and Chikly. Tunisia is the smallest country in North Africa, with a coastline on the North and East having around 1,300 km.
Tunisia has different types of landscapes, with mountainous areas in the North-West (
Figure 2), upper and lower Steppe areas in the center and wide plains in the East. The depressions of the great Chotts mark the beginning of the Sahara in the South, with the mountains of Dhahar and the plains of Jeffara. The lowest altitude is 27 m below sea level, relating to the chott areas, and the highest is 1549 m above sea level, in Jbel el Chaambi, with an average elevation of 256 m for the whole study area.
Tunisia has ten different bioclimatic zones (
Figure 3), characterized by three factors: the mean annual precipitation which decreases from North to South, the highest mean temperature of the hottest month (August) and the mean lowest temperature of the coldest month (January) [
43]. The winter in Tunisia is soft and humid with temperatures between 8°C and 15°C and the summer is hot and dry with temperatures between 22°C and 35°C which can even exceed 40°C in August. Its northern part has a humid higher, humid lower and sub-humid bioclimate with an average annual rainfall, for the previous 31 years (from 1990 to 2020), of 650-736 mm. The central regions have a semi-arid higher, semi-arid middle, semi-arid lower and arid-higher bioclimate with 250-650 mm annual rainfall. The southern part has an arid lower, Saharan higher and Saharan lower bioclimate with 37-250 mm annual rainfall.
2.2. Methodology and data source processing
The cartographic documents are generally produced at local scales. However, these data are often without recent updating, incomplete and sometimes non-existent, such as geographical reference data on topography, precipitation, land cover, etc... Similarly, georeferenced digital data on a small scale are mostly scarce or obsolete. On the other hand, the use of online databases on a global scale has become available these last years. Furthermore, the spatial analysis and modeling are facilitated mainly because of the existence of satellite data which has become very easy to have continuously. Indeed, the raster mode with a simple data structure and a regular shape of the grid is very convenient to keep geometric properties common to all layers of information, thus facilitating the combination of different layers, since all numeric values are dependent on the same base unit, the pixel.
In addition, these data need to be tested in several case studies on a global scale. That is why, one of the objectives of this study is to assess the potential of existing digital data for spatialized modeling in a GIS of soil water erosion in the current Tunisian context. It can be in some cases considered as an alternative to overcome the problem of lack of data.
The choice of RUSLE model (Equation 1) in this study was motivated by the fact that this model does not differ conceptually from the original soil loss equation (USLE) of Wischmeier and Smith [
26]. On the contrary, it improves the quality of the environmental parameters which define the role of each factor. Also, the input data for this model is easier to access compared to other more recent models, which require more sophisticated data.
Where:
A is the soil loss per unit area, expressed in the units of K and the period selected for R;
R is the rainfall and runoff erosivity factor;
K is the soil erodibility factor;
LS is the slope length and slope steepness factor;
C is the crop management factor;
P is the support practice factor.
RUSLE model was used to estimate the yearly average of soil loss due to water erosion, by taking into account the five factors indicated in equation (1). The latter has been applied using GIS and geospatial data composed of: (1) Climatic data including a 31-year average annual precipitation downloaded from the NASA-POWER meteorological parameters, taken from NASA's MERRA-2 assimilation model and necessary for computing the rainfall and Runoff Erosivity factor (R). (2) Soil map of Tunisia extracted from FAO Digital Soil Map of the Word (DSMW), essential for calculating the soil erodibility factor (K). (3) Global Digital Elevation Model (ASTER GDEM), which is used to calculate the topographic factor (LS). (4) LULC map of Tunisia extracted from ESRI 2020 Global Land Cover and used to calculate and map the vegetative cover factor (C) as well as the support and management practice factor (P).
Each of the factors was derived separately in raster format based on rainfall pattern, soil type, topography and LULC data in the context of soil water erosion modeling, in order to generate global scale maps. However, the current study, that deal with the estimation of soil erosion by water, did not consider development stage of the crops. Furthermore, the season variability effects were not taken into account.
The geospatial data with different types and origins are listed in
Table 1.
Figure 4 shows the flowchart of the method used for the estimation of each factor and for the analysis of soil loss based on the RUSLE model and GIS technique.
The following parts of this article make a brief description of the various factors showed in equation (1) and present the results obtained after modeling and analysis of geospatial data.
2.2.1. Rainfall and runoff erosivity factor (R-factor)
The estimation of the R factor requires knowledge of the kinetic energies and the average intensity over 30 min of the raindrops that fall each time, over a long period of up to 30 years [
44]. But this direct method requires precipitation records at high resolutions to calculate R-factor. Other authors have developed alternative formulas when these data are not available. The equations most used to calculate the R factor using only annual precipitation are those of Renard and Freimund [
45] (Equations 2 and 3), whose expressions are:
Where: R is the measure of rainfall erosivity and
Pi is the average annual precipitation (mm).
The estimation of rainfall and runoff erosivity using rainfall data with long-time intervals has been conducted by many authors for different regions of the world [
36,
46]. To calculate the average annual R-factor values in this study, a 31-year average annual data has been used and an interpolation of this data was applied to have a representative rainfall distribution map which is used as input for calculation of R-factor, knowing that the rainfall data available for the study area is not homogenous. This parameter, expressed in (MJ.mm.ha−1. h−1.year−1), takes into consideration the influence of climatic aggressiveness on soil loss [
47].
To generate the R-factor for the whole Tunisia, a 31-year average annual precipitation from 1990 to 2020 required for this study, was downloaded freely, as a Comma-Separated Values (CSV) file, from the National Aeronautics and Space Administration (NASA) Prediction of Worldwide Energy Resources known as POWER project which was initiated in 2003. It provides access to solar and meteorological data sets for the entire globe and particularly over regions where surface measurements are sparse or nonexistent. The meteorological parameters are based upon the MERRA-2 assimilation model. The monthly and annual precipitation data are derived from NASA's Global Precipitation Measurement (GPM). and an interpolation of this data was applied to have a representative rainfall distribution map which was used as input for calculation of R-factor. Since the mean annual precipitation in Tunisia does not exceed 850 mm, equation 3 was used to calculate the rainfall-runoff erosivity factor, taking into account the bioclimatic map of Tunisia which has been developed for climatically homogeneous areas. The Inverse Distance Interpolation (IDW) method was used to minimize the calculation error and above all to optimize the processing time on the ArcGIS software. It is a method that consists in creating, from the aggregated points and the corresponding information, a value grid with a certain continuity.
2.2.2. Soil erodibility (K-factor)
The soil erodibility K, expressed in [t. h. MJ−1.mm−1], determines the resistance of different types of soil to erosion, knowing that soils are more or less sensitive to water erosion. This K factor is determined according to the characteristics of the soil: infiltration capacity, retention texture and susceptibility to particle removal. The infiltration and the high cohesion of the materials increase the soil resistance to removal and gullying of particles. The high rate of sand stabilizes the structure of the soil and makes it less sensitive to climatic aggression. Similarly, the organic matter improves the physical and chemical properties (cohesion, structural stability, porosity) of the soil, increasing the ability to retain water, and strengthens resistance to erosion [
48]. Thus, the higher the percentage of sand, the more the soil is permeable, which implies a low value of the K-factor and vice versa. Bolline and Rousseau (1978) [
49] established the classification, in Table 2 interpreting the soil susceptibility index.
Table 1.
Description of the data sources.
Table 1.
Description of the data sources.
Erodibility (K) |
Type of soil |
K < 0.10 |
Soil highly resistant to erosion |
0.10 à 0.25 |
Soil fairly resistant to erosion |
0.25 à 0.35 |
Soil moderately resistant to erosion |
0.35 à 0.45 |
Soil with low erosion resistance |
>0.45 |
Soil with very low resistance to erosion |
However, soil erodibility is not constant, as it varies not only with soil type, but also with seasons and cultivation techniques. The soil map of Tunisia was prepared using FAO Digital Soil Map of the Word Shapefile (DSMW), where the soil data layer has been clipped, according to the country boundaries relative to the study area, in the ArcGIS Desktop environment. K-factor was calculated using Williams (1995) [
50] formula (Equations 4) and FAO Digital Soil Map.
The raster dataset of the FAO/UNESCO Digital Soil Map of the World (DSMW) has a spatial resolution of 5 * 5 arc minutes and is in geographic projection.
Where:
is a factor that gives low soil erodibility factor for soils with high coarse-sand content and high value for soil with little sand.
is a factor that gives low soil erodibility factor for soils with high clay to silt ratios.
is a factor that reduces soil erodibility for soils with extremely high sand content.
is a factor that reduces soil erodibility factor with high coarse-sand contents and high value for soil with little sand.
The factors are calculated using these equations (Equations 5, 6, 7 and 8)
Where, m
s is the percent sand content (0.05-2.0) mm diameter particles,
msilt is the percent silt content (< 0.002) mm diameter particles,
mc is the percent clay content (0.05-2.0) mm diameter particles,
orgC is the percent organic carbon of the layer (%).
2.2.3. Topographic factor (LS-factor)
The two parameters that constitute the topographic factor are slope gradient and slope length factor were estimated, here in this study, through an ASTER Global Digital Elevation Model (ASTER GDEM) with a 30 m resolution downloaded freely from (
https://search.earthdata.nasa.gov/downloads/) [
73]. The DEM of Tunisia’s territory is ranged from -27 m to 1549 m (
Figure 2). The latter was incorporated into GIS to determine accurately the slope gradient (S) and slope length (L), taking into account that the effect of slope length and degree of slope interaction should always be considered together [
51]. So, to create the slope length and steepness (LS-factor), equivalent to topographic factor and relief factor, respectively, flow direction and flow accumulation maps were created after the filling process of DEM data by the use of the GIS extension Arc Hydro Tools. The flow accumulation was determined for each cell by the flow that flows through that cell. The greater the flow accumulation value, the easier the area will form runoff and vice versa. The slope map in degree, required to estimate the LS factor, shows that most of the slope of Tunisia is ranged from 0 to 10° which represent about 95,54 % from total area (Figure 9).
In 1985, Moore and Burch [
52] developed the equation below (Equation 9) to compute the length-slope factor:
The equation (9) has been applied by many researchers [
51,
53,
54]. The exponent value m can be taken equal to 0.4 while the value of n can be taken equal to 1.3 [
53,
54,
55].
Where:
𝐿𝑆: is slope steepness–length factor.
𝐴𝑠: is the flow accumulation (in meters).
𝜃: is the slope angle (in radians).
𝑚 = 0.4 – 0.6 and n = 1.2 – 1.3.
In general, as the length of the slope increases, the total soil erosion and the soil erosion per unit area increase due to the gradual accumulation of runoff water in the downhill direction of the slope. As the steepness of the slope increases, the velocity and erosivity of the runoff increase.
2.2.4. Vegetative cover factor (C-factor)
It is a dimensionless factor presenting the effectiveness of the vegetation cover in relation to the susceptibility of the soil to erosion [
56]. Vegetation cover and its spatial distribution play an important role in reducing the effects of runoff by amortizing the impact of rainwater on an area [
15].
According to several studies, this RUSLE factor that can range from zero for water and a very well protected soil with very strong cover effects, to 1 for a surface that produces a lot of runoffs (bare soil) and leaves the soil very susceptible to water erosion [
57]. Several authors consider that C-factor is around 0.01 (1/100) under dense forest, 0.05 (5/100) under grasslands and 0.24 (24/100) under crops (
Table 3). Other researchers have adopted the calculation of C-factor by new simplified approaches: use of remote sensing techniques such as the classification of satellite images [
58,
59] and vegetation indices [
60] or use of the Land Use/Land Cover (LULC) map and class assignment for each entity [
61]. In fact, C-factor reflect the effect of LULC, cropping and management practices on the rate of soil erosion [
62,
63,
64,
65].
C-factor was determined, in this study based on the literature, by assigning a value for each type of LULC extracted from ESRI 2020 Global map of LULC, derived from ESA Sentinel-2 imagery at 10 m resolution and downloaded freely from
https://livingatlas.arcgis.com/landcover/ for all land masses on the planet. Two Individual GeoTIFF scenes (32S_20200101-20210101 and 32R_20200101-20210101) covering the Tunisian territory, have been downloaded from Esri 2020 Land Cover Downloader application. These scenes were joined to form a mosaic image and the values of the C-factor (
Table 3) for 7-class LULC types covering the study area were used in the data analysis to build the C-factor map for the year 2020 at 10 m resolution, performing the analysis in ArcGIS and then converted to a grid with 30 x 30 m spatial resolution.
2.2.5. Support and management practice factor (P-factor)
This factor, which is dimensionless, represents soil protection based on anti-erosion cultivation techniques that reduce runoff speed and thus reduce the risk of water erosion. It varies according to the landscaping carried out, namely cultivation on a level curve, in alternating strips or on terraces, reforestation in benches, ridging and ridging [
15].
The P-factor is between 0 and 1, in which the value 0 represents a very good environment of resistance to erosion and the value 1 shows an absence of anti-erosion practice [
72]. Wischmeier and Smith (1978) [
15] established the classification according to the slope in percent (
Table 4), showing that this factor can be distributed according to two zones: the cultivated zones and the other zones.