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<journal-title>Frontiers in Earth Science</journal-title>
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<article-id pub-id-type="doi">10.3389/feart.2025.1731125</article-id>
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<title-group>
<article-title>Geospatial assessment and mapping of water-induced soil erosion in a semiarid region of the MENA using GIS-based RUSLE modeling</article-title>
<alt-title alt-title-type="left-running-head">Gueffaf et al.</alt-title>
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<surname>Gueffaf</surname>
<given-names>Ahmed</given-names>
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<aff id="aff1">
<label>1</label>
<institution>Department of Earth Sciences, Faculty of Exact Sciences, Natural and Life Sciences Echahid Cheikh Larbi Tebessi University</institution>, <city>Tebessa</city>, <country country="DZ">Algeria</country>
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<label>2</label>
<institution>Water and Environment Laboratory, Larbi Tebessi University</institution>, <city>Tebessa</city>, <country country="DZ">Algeria</country>
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<label>3</label>
<institution>Department of Earth Sciences, Institute of Architecture and Earth Sciences, Ferhat Abbas University</institution>, <city>Setif</city>, <country country="DZ">Algeria</country>
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<label>4</label>
<institution>Laboratory of Applied Research in Engineering Geology, Geotechnics, Water Sciences, and Environment, Ferhat Abbas University</institution>, <city>Setif</city>, <country country="DZ">Algeria</country>
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<aff id="aff5">
<label>5</label>
<institution>Department of Geography and Environmental Sustainability, College of Humanities and Social Sciences, Princess Nourah bint Abdulrahman University</institution>, <city>Riyadh</city>, <country country="SA">Saudi Arabia</country>
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<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: Riheb Hadji, <email xlink:href="mailto:hadjirihab@gmail.com">hadjirihab@gmail.com</email>
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<fn fn-type="other" id="fn001">
<label>&#x2020;</label>
<p>ORCID: Riheb Hadji, <ext-link ext-link-type="uri" xlink:href="http://orcid.org/0000-0002-9632-0812">orcid.org/0000-0002-9632-0812</ext-link>
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<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-01-28">
<day>28</day>
<month>01</month>
<year>2026</year>
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<year>2025</year>
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<volume>13</volume>
<elocation-id>1731125</elocation-id>
<history>
<date date-type="received">
<day>23</day>
<month>10</month>
<year>2025</year>
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<date date-type="rev-recd">
<day>11</day>
<month>12</month>
<year>2025</year>
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<date date-type="accepted">
<day>12</day>
<month>12</month>
<year>2025</year>
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<permissions>
<copyright-statement>Copyright &#xa9; 2026 Gueffaf, Hadji, Faqeih, Alamri, Alamery, Aldubehi, Alamry and Fehdi.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Gueffaf, Hadji, Faqeih, Alamri, Alamery, Aldubehi, Alamry and Fehdi</copyright-holder>
<license>
<ali:license_ref start_date="2026-01-28">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>Soil erosion is a major environmental issue throughout the Middle East and North Africa, where it contributes to accelerated land degradation, declining soil fertility, and increased sediment accumulation in reservoirs. These pressures are especially pronounced in the Upper-Bousselam Watershed, an area of strategic importance for cereal production. The present study seeks to quantify the spatial patterns and annual rates of water-induced soil loss in this watershed in order to support more effective land-management and erosion-control strategies. Soil loss was estimated using a GIS-based implementation of the Revised Universal Soil Loss Equation. Spatial datasets describing rainfall erosivity, soil erodibility, topographic conditions, vegetation cover, and conservation practices were compiled and integrated to produce a basin-wide map of potential soil erosion. The analysis reveals a marked spatial heterogeneity in erosion intensity across the watershed. The highest soil-loss rates occur mainly in the northern mountainous areas and on certain southern slopes, where steep gradients, weak and easily erodible lithologies, and limited vegetation cover prevail. A general decrease in rainfall erosivity from north to south further accentuates these contrasts. Estimated annual soil losses range from very low values to more than 33 t/ha/year. Although nearly two-thirds of the basin is characterized by low erosion levels, about 9% of the area is subject to severe soil degradation. These results underline the combined role of climatic forcing, topography, lithology, and land cover in controlling erosion processes within the Upper-Bousselam Watershed. The spatially explicit erosion assessment provides a sound scientific basis for identifying priority areas for conservation measures and supports efforts aimed at safeguarding soil resources and ensuring the long-term sustainability of agricultural production.</p>
</abstract>
<kwd-group>
<kwd>rainfall erosivity</kwd>
<kwd>RUSLE</kwd>
<kwd>soil erodibility</kwd>
<kwd>sustainable land conservation</kwd>
<kwd>topographic factor</kwd>
</kwd-group>
<funding-group>
<award-group id="gs1">
<funding-source id="sp1">
<institution-wrap>
<institution>Princess Nourah Bint Abdulrahman University</institution>
<institution-id institution-id-type="doi" vocab="open-funder-registry" vocab-identifier="10.13039/open_funder_registry">10.13039/501100004242</institution-id>
</institution-wrap>
</funding-source>
<award-id rid="sp1">PNURSP2025R911</award-id>
</award-group>
<funding-statement>The author(s) declared that financial support was received for this work and/or its publication. Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP 2025R911), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.</funding-statement>
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<meta-name>section-at-acceptance</meta-name>
<meta-value>Geohazards and Georisks</meta-value>
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</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>Soil erosion remains one of the most pressing global environmental challenges, with profound implications for agricultural productivity, food security, and ecosystem resilience (<xref ref-type="bibr" rid="B55">Rhodes, 2014</xref>; <xref ref-type="bibr" rid="B62">Sartori et al., 2024</xref>; <xref ref-type="bibr" rid="B43">Mi et al., 2025</xref>). Its effects are particularly pronounced in semi-arid regions, where the combined influence of climatic variability, unsustainable land management, and accelerated land-use change intensifies surface degradation (<xref ref-type="bibr" rid="B36">Khanchoul et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Chakrabortty et al., 2025</xref>). The gradual removal of fertile topsoil diminishes agricultural yields, promotes sediment accumulation in reservoirs, and deteriorates water quality and aquatic ecosystems (<xref ref-type="bibr" rid="B39">Lizaga et al., 2025</xref>).</p>
<p>In Algeria, water-induced erosion is recognized as one of the principal drivers of land degradation, especially in the northern regions characterized by steep slopes, dense population, and a significantly degraded vegetation cover (<xref ref-type="bibr" rid="B41">Mahleb et al., 2022</xref>; <xref ref-type="bibr" rid="B25">Hadji et al., 2025</xref>; <xref ref-type="bibr" rid="B66">Taib et al., 2024</xref>; <xref ref-type="bibr" rid="B67">2025</xref>). Numerous studies have highlighted not only the magnitude of this phenomenon but also its irregular and spatially discontinuous nature (<xref ref-type="bibr" rid="B6">Benaiche et al., 2024</xref>). Approximately 45% of Algeria&#x2019;s arable land has already been affected by erosion processes. Nearly 50 million tons of suspended sediments are deposited annually along the country&#x2019;s Mediterranean coastline (<xref ref-type="bibr" rid="B52">Probst, 1992</xref>; <xref ref-type="bibr" rid="B46">Morsli et al., 2006</xref>; <xref ref-type="bibr" rid="B49">Neha&#xef;, and Guettouche, 2020</xref>). A survey conducted by the Ministry of Agriculture and Rural Development reported that around 15 million hectares in northern Algeria have experienced severe soil degradation due to hydrological erosion.</p>
<p>Conventional approaches for assessing erosion (such as field surveys, runoff plot experiments, and empirical or physically based models) have generated valuable understandings into erosion mechanisms and rates (<xref ref-type="bibr" rid="B10">Bueno-Hurtado and Seidou, 2024</xref>). However, these methods are often constrained by their labor-intensive nature, high cost, and limited spatial representativeness (<xref ref-type="bibr" rid="B35">Ketema and Dwarakish, 2021</xref>).</p>
<p>The emergence of Geographic Information System (GIS) and remote sensing (RS) has revolutionized erosion research by enabling continuous, large-scale spatial analysis using geo-environmental indicators such as rainfall patterns, vegetation cover, land use, and topography (<xref ref-type="bibr" rid="B1">Abdo, 2022</xref>; <xref ref-type="bibr" rid="B29">Hamed et al., 2024</xref>).</p>
<p>Several reserchers have significantly advanced the understanding of mass-wasting processes across varied geological and climatic contexts. Machine-learning approaches, including support vector machines (SVM), artificial neural networks (ANN), random forests (RF), and logistic regression, have been effectively applied to map susceptibility in hilly regions (<xref ref-type="bibr" rid="B15">Dahoua et al., 2017</xref>; <xref ref-type="bibr" rid="B77">Zerzour et al., 2020</xref>; <xref ref-type="bibr" rid="B3">Ahadi and Rosta, 2024</xref>; <xref ref-type="bibr" rid="B2">Abgrami et al., 2025</xref>), capturing complex spatial patterns of slope instability. Logistic regression and multi-criteria decision-making methods (AHP) have also been used to provide robust, site-specific assessments in Maragheh and Fuman counties (<xref ref-type="bibr" rid="B11">Cemiloglu et al., 2023</xref>; <xref ref-type="bibr" rid="B30">Hamedi et al., 2025</xref>). Complementing these modeling efforts, <xref ref-type="bibr" rid="B74">Yeganeh et al. (2025)</xref> developed a comprehensive landslide inventory for the Alborz Mountains, supporting hazard modeling and risk evaluation. Beyond landslides, advanced computational approaches have been successfully integrated with GIS to map rockfall susceptibility, as shown by <xref ref-type="bibr" rid="B47">Nanehkaran et al. (2022)</xref>. Together, these studies provide technically rigorous, modern frameworks that enhance predictive accuracy and support effective hazard management across diverse environmental settings.</p>
<p>The availability of Digital Elevation Models (DEMs) and multi-temporal satellite imagery has further enhanced the capacity to identify erosion-prone areas, and monitor landscape evolution, (<xref ref-type="bibr" rid="B33">Huang et al., 2023</xref>). Despite these advances, several limitations persist. The spatial and vertical resolution of existing DEMs, and the lack of field-based validation data continue to reduce the reliability of erosion predictions, particularly in mountainous and data-scarce regions (<xref ref-type="bibr" rid="B38">Li et al., 2021</xref>). Moreover, while various models; including empirical approaches such as USLE, RUSLE, and MUSLE (<xref ref-type="bibr" rid="B22">Ghosal and Das Bhattacharya, 2020</xref>), as well as physically based ones like Unit Power-Based Soil Erosion and Deposition (USPED) have been widely applied across different environments (<xref ref-type="bibr" rid="B50">Prasad et al., 2024</xref>). Their performance often varies depending on local geomorphological, climatic, and land-use conditions (<xref ref-type="bibr" rid="B71">Wischmeier, 1959</xref>; <xref ref-type="bibr" rid="B64">Stocking and Elwell, 1973</xref>; <xref ref-type="bibr" rid="B40">Lo and MacKinlay, 1985</xref>). The RUSLE model is one of the most widely used tools for assessing soil erosion due to its flexibility and computational simplicity, making it suitable for studies with limited data and the absence of precise field measurements (<xref ref-type="bibr" rid="B79">Kouli et al., 2009</xref>). Numerous studies have shown that RUSLE&#x2019;s ability to integrate with Geographic Information Systems (GIS) and remote sensing techniques provides high efficiency in producing accurate spatial erosion maps over large areas (<xref ref-type="bibr" rid="B81">Panagos et al., 2015</xref>). Compared to models such as WEPP and EUROSEM, RUSLE requires fewer input data and remains applicable in mountainous and semi-arid environments where detailed information is difficult to obtain (<xref ref-type="bibr" rid="B82">Renard and Freimund, 1994</xref>). However, as an empirical model, its accuracy may be affected by environmental and climatic variations unless its factors are locally calibrated (<xref ref-type="bibr" rid="B51">Prasannakumar et al., 2012</xref>). Despite these limitations, the balance between the model&#x2019;s simplicity and reliability, along with the possibility of improvement through modern spatial data, makes RUSLE a suitable and effective choice for contemporary studies on erosion risk assessment and soil conservation planning (<xref ref-type="bibr" rid="B9">Borrelli et al., 2017</xref>; <xref ref-type="bibr" rid="B54">Rejani et al., 2022</xref>).</p>
<p>This study aims to quantify and map soil loss rates in the Upper Bousselam watershed (UBW) by applying the RUSLE Equation within a Geographic Information System (GIS) environment. This integrated approach combines multiple geo-environmental parameters such as rainfall erosivity (<italic>R</italic>), soil erodibility (<italic>K</italic>), slope gradient (<italic>LS</italic>), vegetation cover (<italic>C</italic>), and conservation practices (<italic>P</italic>); to produce spatially explicit soil loss maps. These maps identify erosion hotspots and provide insights into the relative influence of different controlling factors.</p>
<p>Recent research has increasingly highlighted the value of RUSLE-based modelling for understanding soil erosion processes in mountainous and semi-arid environments. For example, <xref ref-type="bibr" rid="B51">Prasannakumar et al. (2012)</xref> demonstrated how the integration of RUSLE with GIS can effectively capture the influence of slope gradients, vegetation cover and rainfall on erosion patterns in a forested watershed in Kerala, revealing clear erosion hotspots and underscoring the utility of high-resolution spatial mapping for land-use planning. In a similar context, <xref ref-type="bibr" rid="B83">Thomas et al. (2012)</xref> coupled RUSLE with a transport-limited sediment delivery model to evaluate both erosion and deposition dynamics in the Western Ghats, showing that only a fraction of the gross soil loss is ultimately exported and emphasizing the role of human activities in shaping sediment transport. More recently, <xref ref-type="bibr" rid="B43">Mi et al. (2025)</xref> combined the RUSLE&#x2013;SDR approach with geographically weighted regression and path analysis to investigate erosion behaviour in Longnan City, illustrating how vegetation, slope and precipitation interact across different environmental thresholds to control erosion intensity. RUSLE applications in other mountain and semi-arid regions further confirm these trends. In the Gorgol basin, topography was shown to dominate erosion risk under current and projected climate conditions (<xref ref-type="bibr" rid="B78">Alioune et al., 2025</xref>), while studies in the Cheliff Basin of Algeria have demonstrated how land use, soil characteristics and aridity collectively influence soil-loss patterns (<xref ref-type="bibr" rid="B76">Zerouali et al., 2025</xref>). Comparable findings have been reported in the High Atlas Mountains of Morocco, where nearly 40% of the basin exhibits high to very high erosion susceptibility (<xref ref-type="bibr" rid="B4">Ait Haddou et al., 2024</xref>), and in the Ethiopian highlands, where long-term monitoring has linked erosion dynamics to changes in land cover (<xref ref-type="bibr" rid="B23">Guche et al., 2024</xref>).</p>
<p>Taken together, these studies highlight both the robustness of RUSLE for quantifying soil loss in complex terrain and the pronounced spatial and temporal variability that characterizes erosion in such settings, calling for context-specific model calibration. Building on this body of work, the present study applies RUSLE to (your study area), using updated climatic, soil and topographic datasets to generate a detailed erosion-risk assessment. This approach not only aligns with established methodological advances but also addresses a critical gap in the literature, namely, (insert novelty, e.g., &#x201c;the combined influence of steep slopes and semi-arid Mediterranean conditions under ongoing land-use change&#x201d;), which remains insufficiently explored in the region.</p>
<p>Recent studies have highlighted the importance of integrating the RUSLE model with advanced geospatial techniques, such as remote sensing and high-resolution digital elevation models, to improve the representation of soil erosion dynamics in semi-arid mountainous areas. <xref ref-type="bibr" rid="B32">Hateffard et al. (2021)</xref> reported that combining RUSLE with advanced topographic analysis allows for a more accurate understanding of the spatial variations in erosion intensity on steep slopes. Similarly, <xref ref-type="bibr" rid="B21">Gezici et al. (2025)</xref> demonstrated that integrating the model with future climate scenarios enhances the capacity to assess erosion development under climate change. In North Africa, <xref ref-type="bibr" rid="B61">Sahli et al. (2019)</xref> and <xref ref-type="bibr" rid="B4">Ait Haddou et al. (2024)</xref> showed the effectiveness of remote sensing in improving the accuracy of RUSLE factors in degraded mountainous environments.</p>
<p>By coupling the model with advanced geospatial techniques, this research contributes to a more detailed understanding of erosion dynamics in mountainous semi-arid regions. The findings offer a scientific foundation for designing targeted soil conservation and sustainable land-use strategies aimed at reducing erosion and safeguarding agricultural productivity in northern Algeria. Furthermore, the methodological framework proposed here demonstrates the broader applicability of combining empirical erosion modeling and remote sensing (RS) for data-limited environments, particularly across the MENA region.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Study area</title>
<p>The Soummam watershed ranks among the largest hydrological basins in Algeria, encompassing an area of approximately 9,125 km<sup>2</sup>, which accounts for nearly 19% of the total surface of the broader Algiers&#x2013;Hodna&#x2013;Soummam (AHS) Mega-basin. The Soummam drainage network is composed of nine major tributaries, among which Wady Boussellam constitutes the main contributor. This river stretches for about 150 km and drains a surface area of 5,010 km<sup>2</sup>. Its catchment is subdivided into four sub-basins: UBW (C/15-06, S/1,785 km<sup>2</sup>), Middle Boussellam (C/15-07, S/1,234 km<sup>2</sup>), El Main (C/15-08, S/930 km<sup>2</sup>), and Lower Boussellam (C/15-09, S/1,061 km<sup>2</sup>). In this classification, C represents the sub-basin code assigned by the Agence des Bassins Hydrographiques (ABH), and S denotes the corresponding surface area (<xref ref-type="fig" rid="F1">Figure 1a</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>
<bold>(a)</bold> Major watersheds of Algeria. <bold>(b)</bold> Location of the Upper Bousselam sub-watershed. <bold>(c)</bold> Digital Elevation Model (DEM) of the UBW.</p>
</caption>
<graphic xlink:href="feart-13-1731125-g001.tif">
<alt-text content-type="machine-generated">Map illustration with three panels displaying geographical details of Bousselam, Algeria. Panel (a) shows regions with localities and basin limits. Panel (b) highlights Bousselam Amont with hydrographic networks. Panel (c) presents a topographic map indicating elevation, featuring a stream network.</alt-text>
</graphic>
</fig>
<p>This study focuses on the Upper Boussellam Watershed (UBW), which spans approximately 1,785 km<sup>2</sup>, accounting for nearly 35% of the total Boussellam catchment area. Designated under the ABH code 15&#x2013;06, the watershed extends longitudinally for about 65 km (<xref ref-type="fig" rid="F1">Figure 1b</xref>). As illustrated by the DEM (<xref ref-type="fig" rid="F1">Figure 1c</xref>), the basin predominantly consists of an extensive plain, bordered by several notable highlands: to the north by Jebel Medjounes, Jebel A&#xef;ssel, Jebel Megris, and Jebel Matrona; to the east by Kef Boudjemline, Jebel Merouane, Jebel Youssef, and Jebel Sekrine; and to the south by Jebel Hassane, Jebel Sattor, and Jebel Boutaleb.</p>
<p>The climate within the UBW varies from semi-arid in the central and southern regions to humid in the northern parts. Winters are generally mild and relatively wet, while summers are hot and dry. The rainy season typically extends from September to May, representing the transitional period between the humid and arid climatic phases. The precipitation shows pronounced year-to-year variability, with annual totals typically falling between 300 and 500 mm and averaging roughly 449 mm/year (<xref ref-type="table" rid="T1">Table 1</xref>). Mean annual temperature is around 16.65 &#xb0;C, while seasonal values range from approximately &#x2212;3 &#xb0;C in winter to nearly 38 &#xb0;C in summer (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Interannual mean monthly precipitation (in mm).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Station</th>
<th align="left">Jan</th>
<th align="left">Feb</th>
<th align="left">Mar</th>
<th align="left">Ap</th>
<th align="left">Ma</th>
<th align="left">Ju</th>
<th align="left">Jul</th>
<th align="left">Au</th>
<th align="left">Sep</th>
<th align="left">Oct</th>
<th align="left">Nov</th>
<th align="left">Dec</th>
<th align="left">P ann</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">S&#xe9;tif</td>
<td align="left">46.54</td>
<td align="left">39.29</td>
<td align="left">43.5</td>
<td align="left">45.79</td>
<td align="left">46.45</td>
<td align="left">19.04</td>
<td align="left">7.91</td>
<td align="left">20.62</td>
<td align="left">40.5</td>
<td align="left">40.04</td>
<td align="left">53.5</td>
<td align="left">52.12</td>
<td align="left">455.33</td>
</tr>
<tr>
<td align="left">Bougaa</td>
<td align="left">58.91</td>
<td align="left">46.41</td>
<td align="left">52.45</td>
<td align="left">53.54</td>
<td align="left">52.45</td>
<td align="left">22.54</td>
<td align="left">7.96</td>
<td align="left">23.71</td>
<td align="left">47.79</td>
<td align="left">48.83</td>
<td align="left">66.75</td>
<td align="left">57.79</td>
<td align="left">539.16</td>
</tr>
<tr>
<td align="left">Ain kbira</td>
<td align="left">58.5</td>
<td align="left">47.75</td>
<td align="left">55.5</td>
<td align="left">54.71</td>
<td align="left">56.75</td>
<td align="left">24.66</td>
<td align="left">8.91</td>
<td align="left">27.21</td>
<td align="left">49.29</td>
<td align="left">51.62</td>
<td align="left">70.21</td>
<td align="left">60.37</td>
<td align="left">565.5</td>
</tr>
<tr>
<td align="left">Eulma</td>
<td align="left">47.95</td>
<td align="left">39.58</td>
<td align="left">45.5</td>
<td align="left">47.54</td>
<td align="left">48.2&#x26;</td>
<td align="left">20.37</td>
<td align="left">8.12</td>
<td align="left">21.62</td>
<td align="left">42.12</td>
<td align="left">40.91</td>
<td align="left">54.79</td>
<td align="left">53.79</td>
<td align="left">470.54</td>
</tr>
<tr>
<td align="left">Ain oulmen</td>
<td align="left">42.71</td>
<td align="left">36.33</td>
<td align="left">42.875</td>
<td align="left">49.33</td>
<td align="left">48.54</td>
<td align="left">20.21</td>
<td align="left">7.62</td>
<td align="left">19.91</td>
<td align="left">41.25</td>
<td align="left">37.95</td>
<td align="left">44.29</td>
<td align="left">46.87</td>
<td align="left">437.91</td>
</tr>
<tr>
<td align="left">Ain azel</td>
<td align="left">41.29</td>
<td align="left">34.5</td>
<td align="left">41.87</td>
<td align="left">46.62</td>
<td align="left">42.62</td>
<td align="left">17.87</td>
<td align="left">6.79</td>
<td align="left">18.33</td>
<td align="left">38.83</td>
<td align="left">34.87</td>
<td align="left">42.75</td>
<td align="left">46.45</td>
<td align="left">412.83</td>
</tr>
<tr>
<td align="left">Ain zada</td>
<td align="left">46.45</td>
<td align="left">39.91</td>
<td align="left">42.83</td>
<td align="left">46.37</td>
<td align="left">48</td>
<td align="left">20.08</td>
<td align="left">7.71</td>
<td align="left">20.87</td>
<td align="left">41.75</td>
<td align="left">40.87</td>
<td align="left">54.71</td>
<td align="left">51.75</td>
<td align="left">461.33</td>
</tr>
<tr>
<td align="left">Bir kasdeli</td>
<td align="left">46.45</td>
<td align="left">39.91</td>
<td align="left">42.83</td>
<td align="left">46.37</td>
<td align="left">48</td>
<td align="left">20.08</td>
<td align="left">7.71</td>
<td align="left">20.87</td>
<td align="left">41.75</td>
<td align="left">40.87</td>
<td align="left">54.71</td>
<td align="left">51.75</td>
<td align="left">461.33</td>
</tr>
<tr>
<td align="left">Boutaleb</td>
<td align="left">40.58</td>
<td align="left">31.70</td>
<td align="left">37.12</td>
<td align="left">41.25</td>
<td align="left">38.08</td>
<td align="left">15.58</td>
<td align="left">6.5</td>
<td align="left">15.5</td>
<td align="left">36.66</td>
<td align="left">33.21</td>
<td align="left">38.95</td>
<td align="left">43.87</td>
<td align="left">379.04</td>
</tr>
<tr>
<td align="left">Hamem sou</td>
<td align="left">42.25</td>
<td align="left">34.37</td>
<td align="left">37.5</td>
<td align="left">43.58</td>
<td align="left">42.25</td>
<td align="left">18.37</td>
<td align="left">7.83</td>
<td align="left">16.25</td>
<td align="left">39.87</td>
<td align="left">36.5</td>
<td align="left">41.87</td>
<td align="left">45.21</td>
<td align="left">405.87</td>
</tr>
<tr>
<td align="left">Ain abassa</td>
<td align="left">59</td>
<td align="left">47.58</td>
<td align="left">55.04</td>
<td align="left">55.21</td>
<td align="left">55.54</td>
<td align="left">23.58</td>
<td align="left">8.66</td>
<td align="left">27.12</td>
<td align="left">49.87</td>
<td align="left">50.66</td>
<td align="left">68.87</td>
<td align="left">58.83</td>
<td align="left">560</td>
</tr>
<tr>
<td align="left">Guedjel</td>
<td align="left">46.54</td>
<td align="left">39.29</td>
<td align="left">43.5</td>
<td align="left">45.79</td>
<td align="left">46.45</td>
<td align="left">19.04</td>
<td align="left">7.91</td>
<td align="left">20.62</td>
<td align="left">40.5</td>
<td align="left">40.04</td>
<td align="left">53.5</td>
<td align="left">52.12</td>
<td align="left">455.33</td>
</tr>
<tr>
<td align="left">Mezloug</td>
<td align="left">46.54</td>
<td align="left">39.29</td>
<td align="left">43.5</td>
<td align="left">45.79</td>
<td align="left">46.45</td>
<td align="left">19.04</td>
<td align="left">7.91</td>
<td align="left">20.62</td>
<td align="left">40.5</td>
<td align="left">40.04</td>
<td align="left">53.5</td>
<td align="left">52.12</td>
<td align="left">455.33</td>
</tr>
<tr>
<td align="left">Elghdir</td>
<td align="left">45</td>
<td align="left">39.91</td>
<td align="left">42.83</td>
<td align="left">53.58</td>
<td align="left">54.21</td>
<td align="left">23</td>
<td align="left">8.83</td>
<td align="left">21.58</td>
<td align="left">43.91</td>
<td align="left">43.91</td>
<td align="left">51.5</td>
<td align="left">46.79</td>
<td align="left">475.08</td>
</tr>
<tr>
<td align="left">Ain lehdjar</td>
<td align="left">41.29</td>
<td align="left">34.5</td>
<td align="left">41.87</td>
<td align="left">46.625</td>
<td align="left">42.62</td>
<td align="left">17.87</td>
<td align="left">6.79</td>
<td align="left">18.33</td>
<td align="left">38.83</td>
<td align="left">34.87</td>
<td align="left">42.75</td>
<td align="left">46.45</td>
<td align="left">412.83</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Interannual mean monthly temperatures (&#xb0;C).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Station</th>
<th align="center">T(C&#xb0;)</th>
<th align="center">J</th>
<th align="center">F</th>
<th align="center">M</th>
<th align="center">A</th>
<th align="center">M</th>
<th align="center">J</th>
<th align="center">J</th>
<th align="center">A</th>
<th align="center">S</th>
<th align="center">O</th>
<th align="center">N</th>
<th align="center">D</th>
<th align="center">Ann</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="center">S&#xe9;tif</td>
<td align="center">Tmax</td>
<td align="left">16.98</td>
<td align="center">18.28</td>
<td align="center">22.66</td>
<td align="center">26.90</td>
<td align="center">31.334</td>
<td align="center">35.92</td>
<td align="center">38.13</td>
<td align="center">37.532</td>
<td align="center">33.66</td>
<td align="center">28.40</td>
<td align="center">21.64</td>
<td align="center">17.47</td>
<td align="center">38.36</td>
</tr>
<tr>
<td align="center">Tmin</td>
<td align="right">&#x2212;3.56</td>
<td align="right">&#x2212;3.49</td>
<td align="right">&#x2212;2.36</td>
<td align="right">0.44</td>
<td align="right">4.45</td>
<td align="right">8.64</td>
<td align="right">12.53</td>
<td align="right">13.72</td>
<td align="right">9.80</td>
<td align="right">5.54</td>
<td align="right">0.38</td>
<td align="right">&#x2212;2.36</td>
<td align="right">&#x2212;4.69</td>
</tr>
<tr>
<td align="center">Tmoy</td>
<td align="right">6.71</td>
<td align="right">7.39</td>
<td align="right">10.15</td>
<td align="right">13.67</td>
<td align="right">17.89</td>
<td align="right">22.28</td>
<td align="right">25.33</td>
<td align="right">25.63</td>
<td align="right">21.73</td>
<td align="right">16.97</td>
<td align="right">11.01</td>
<td align="right">7.55</td>
<td align="right">16.83</td>
</tr>
<tr>
<td rowspan="3" align="center">Ain- zada</td>
<td align="center">Tmax</td>
<td align="right">16.68</td>
<td align="right">17.92</td>
<td align="right">22.46</td>
<td align="right">26.52</td>
<td align="right">31.02</td>
<td align="right">35.66</td>
<td align="right">37.89</td>
<td align="right">37.40</td>
<td align="right">33.31</td>
<td align="right">28.19</td>
<td align="right">21.33</td>
<td align="right">17.01</td>
<td align="right">38.19</td>
</tr>
<tr>
<td align="center">Tmin</td>
<td align="right">&#x2212;3.96</td>
<td align="right">&#x2212;3.85</td>
<td align="right">&#x2212;2.98</td>
<td align="right">0.27</td>
<td align="right">3.66</td>
<td align="right">8.13</td>
<td align="right">12.07</td>
<td align="right">13.05</td>
<td align="right">9.20</td>
<td align="right">4.86</td>
<td align="right">&#x2212;0.05</td>
<td align="right">&#x2212;2.99</td>
<td align="right">&#x2212;5.22</td>
</tr>
<tr>
<td align="center">Tmoy</td>
<td align="right">6.35</td>
<td align="right">7.03</td>
<td align="right">9.73</td>
<td align="right">13.39</td>
<td align="right">17.34</td>
<td align="right">21.89</td>
<td align="right">24.98</td>
<td align="right">25.22</td>
<td align="right">21.25</td>
<td align="right">16.53</td>
<td align="right">10.64</td>
<td align="right">7.009</td>
<td align="right">16.48</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Moreover, the precipitation isohyet maps produced by the National Agency for Water Resources indicate that the basin lies within a zone of pronounced spatial and temporal rainfall variability in eastern Algeria. This climatic heterogeneity plays a key role in shaping both hydrological dynamics and erosion processes in the region, (<xref ref-type="bibr" rid="B28">Hamed et al., 2017</xref>; <xref ref-type="bibr" rid="B27">Hamad et al., 2021</xref>; <xref ref-type="bibr" rid="B7">Benmarce et al., 2023</xref>; <xref ref-type="bibr" rid="B29">Hamed et al., 2024</xref>; <xref ref-type="bibr" rid="B48">Ncibi et al., 2022</xref>; <xref ref-type="bibr" rid="B80">Ncibi et al., 2023</xref>).</p>
<p>From a hydrological standpoint, the sub-basin is drained by the Wady Boussellam, which forms the main watercourse and receives inflows from several tributaries, including Wady Malah (A&#xef;n Arnat), Wady Malah (Ksar El Abtal), Wady Fermatou, Wady Guellal, Wady Tixter, and Wady Fta&#xef;ssa. Together, these streams contribute an estimated annual discharge of approximately 50 M hm<sup>3</sup>/year (<xref ref-type="bibr" rid="B37">Khemmal et al., 2025</xref>).</p>
<p>The topography of the basin is characterized by moderate to steep slopes, with elevations ranging between 900 and 1,600 m. The highest altitudes are found in the mountainous regions to the north and south, while the central portion of the basin; extending toward the A&#xef;n Zada Dam; is distinguished by gentler relief and lower elevations around 900 m (<xref ref-type="bibr" rid="B60">Rouibah and Belabbas, 2022</xref>).</p>
<p>In terms of geology, the UBW is largely covered by Quaternary deposits, particularly in its northern sector, where Eocene formations with intermediate materials are also present, along with flysch sequences in the upstream zones (<xref ref-type="bibr" rid="B24">Hadji et al., 2016</xref>). The central area features Eocene parautochthonous, autochthonous, and allochthonous units, whereas Mio-Pliocene formations occur in the northwestern part. Quaternary accumulations are also found along the piedmont zones. In the southwestern sector, the substratum is mainly composed of Hodna parautochthonous and autochthonous units, interspersed with Triassic exotic outcrops (<xref ref-type="fig" rid="F2">Figure 2</xref>) (<xref ref-type="bibr" rid="B8">Benmarce et al., 2024</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Geological map of the upper bousselam sub-watershed. 1. A: Recent alluvium. 2. Polygenic glacis covering the reliefs. 3. Q: Arable lands, slope deposits, ancient alluvium, and undifferentiated Quaternary formations. 4. Quaternary: Blocky scree with marly matrix, showing detachment niches. 5. Quaternary: Dunes. 6. Quatemary: Ider terrains with calcareous crusts, isolated or interbedded within Mio-Pliocene deposits. 7. Sebkha soils. 8. Topsoil and marly eluvium 9. mp: Continental Mio-Pliocene - reddish sandy clays and poorly cemented conglomerates. 10. Probable Villafranchian: Lacustrine limestones, crusted soils, and fluvial gravels. 11. Lower Miocene: Red clays, sands, and conglomerates. 12. Miocene: Conglomerates, oyster-bearing marls, and sandy limestones. 13. Lower Miocene Reddish marls and calcareous microbreccias with pectinids. 14. Marine Miocene: Calcareous sandstones with Melobesiae and marks. 15. Oligocene: Conglomerates, gravellites, limestones, and red sandstones. 16. Eocene: Massive detrital limestones with silicified Thersites. 17. Middle to Upper Eocene: Black, brown, or gray marls with yellow beds and nodules. 18. Upper Lutetian: Gypsiferous clays and limestones. 19. et-5s: Ypresian to Lower Lutetian-marly, schistose limestones with white patina, black fracture, and black flints; Globigerina facies. 20. Ypresian-Lower Lutetian: Phosphatic white limestones with black flints and abundant debris. 21. Danian-Paleocene to Ypresian: Blackish marls. 22. Maastrichtian-Danian-Montian: Gray marls with subordinate limestones. 23. E3-C6: Maastrichtian to Paleocene- undifferentiated black marls, sometimes with yellow nodules in the eastern two-thirds of the sheet. 24. Upper Senonian: Marls and crystalline limestones with oyster debris. 25. Upper Senonian: Yellowish biosparites and shell beds with Orbitoides. 26, Upper Senonian: Pebbly marls, marly limestones, and sometimes sandy limestones with Orbitoides. 27. C5-6: Upper Campanian and Lower Maastrichtian-dark marly formations with abundant yellow nodules. 28. C6C: Upper Campanian and Maastrichtian- lenticular and micritic limestones in the north, becoming thicker, well-bedded, and rich in shell debris near Djebel Medjoune. 29. C4-5: Upper Santonian to Campanian - well-bedded marly limestones with oyster debris near Djebel Anini. 30. C3-4: Coniacian-Santonian-gray marls alternating with gray marly limestones north of Djebel Anini. 31. Upper Coniacian-Santonian: Gray marls around Koudiat Della. 32. Upper Cenomanian and Turonian: Dolomites and limestones with flints or milioids. 33. Upper Cenomanian and Turonian: Fine or gravelly limestones with Miliolidae. 34. Vraconian-Lower Cenomanian: Marls and marly limestones. 35. Albian: Argillaceous and sandy limestones with dolomitic beds and quartzose marly sandstones. 36. Late Aptian-Albian: Clays, marls, sandstones, and biosparites with Melbesio. 37. Marly yellow Aptian. 38. Aptian: Limestones with Orbitolises and dolomites. 39. Aptian: Limestones with Orbitolines and Ovalveolina reicheli in the upper beds. 40. Coarse sandstone bars with clayey intercalations. 41. Barremian: Massive limestones, dolomites, marls, and sandstones. 42. Neocomia: Sandstones, pelites, and marls with ammonites and brachiopods. 43. Upper Jurassic: Limestones with Clypeina jurassica. 44. Upper Jurassic: Dolomitic facies. 45. Middle Jurassic: Variegated limestones with Pygopes. 46. Jurassic-Cretaceous transition: Algal or Calpionellid facies. 47. Dolomitic Lias. 48. Upper Lias: Marls and marly limestones. 49. Dogger: Bedded marly limestones. 50. Exotic Triassic: Clays, crushed gypsum, and massive calcareous dolomitic rocks.</p>
</caption>
<graphic xlink:href="feart-13-1731125-g002.tif">
<alt-text content-type="machine-generated">Map of a region with diverse geological features, represented by various colors and patterns. A legend below the map identifies 50 distinct categories, each with a unique visual code. A compass rose indicates north, and a scale bar shows distance in kilometers. Coordinates on the map frame range from 680000 to 720000 horizontally and 3960000 to 4020000 vertically.</alt-text>
</graphic>
</fig>
<p>Extensive carbonate formations outcrop throughout the region, consisting primarily of limestone, marl, clay, sandstone, dolomite, and Quaternary crusts, often associated with tufa deposits (<xref ref-type="bibr" rid="B42">Mebarkia and Boufekane, 2020</xref>).</p>
</sec>
<sec sec-type="materials|methods" id="s3">
<label>3</label>
<title>Materials and methods</title>
<sec id="s3-1">
<label>3.1</label>
<title>Data sources</title>
<p>The implementation of the RUSLE model required the integration of multiple geospatial, climatic, and soil-related datasets. These include a DEM, precipitation measurements, soil property data, and multispectral satellite imagery. All input layers were standardized to ensure spatial consistency during GIS-based processing and to enable reliable computation of the RUSLE factors (<xref ref-type="bibr" rid="B57">Romshoo et al., 2021</xref>) (<xref ref-type="table" rid="T3">Table 3</xref>).</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Data information used in RUSLE model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Data</th>
<th align="left">Data type</th>
<th align="left">Spatial resolution/Scale</th>
<th align="left">Source</th>
<th align="left">Factor</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">DEM</td>
<td align="left">Raster (GeoTIFF)</td>
<td align="left">12.5 m</td>
<td align="left">USGS EarthExplorer</td>
<td align="left">LS.P</td>
</tr>
<tr>
<td align="left">Rainfall data</td>
<td align="left">Tabular (XLS)</td>
<td align="left">Point measurements (15 stations)</td>
<td align="left">WaterBalance platform</td>
<td align="left">R</td>
</tr>
<tr>
<td align="left">Soil data</td>
<td align="left">Vector &#x2b; Tabular (Shapefile &#x2b; XLS)</td>
<td align="left">1:50.000</td>
<td align="left">Geological maps; laboratory and field test</td>
<td align="left">K</td>
</tr>
<tr>
<td align="left">Satellite imagery</td>
<td align="left">Raster (GeoTIFF)</td>
<td align="left">10 m</td>
<td align="left">Copernicus DataSpace</td>
<td align="left">C</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-1-1">
<label>3.1.1</label>
<title>Digital elevation model (DEM)</title>
<p>Topographic information was derived from a 12.5-m ALOS PALSAR DEM obtained through the U.S. Geological Survey. The DEM served as the foundation for calculating slope and flow-accumulation surfaces, which were subsequently used to derive the LS factor. Prior to analysis, the DEM was resampled to a uniform 10-m resolution to match the other RUSLE layers. Standard preprocessing steps included sink filling and removal of spurious artifacts to minimize topographic noise.</p>
</sec>
<sec id="s3-1-2">
<label>3.1.2</label>
<title>Rainfall data</title>
<p>Rainfall observations from 15 stations within and near the watershed were sourced from the WaterBalance platform. These point data were interpolated into a continuous rainfall erosivity surface using Inverse Distance Weighting (IDW). To maintain spatial consistency, the interpolated <italic>R</italic>-factor raster was generated directly at the target 10-m resolution and aligned with the common projection. Uncertainty in the <italic>R</italic> layer primarily stems from the spatial distribution of stations, interpolation method, and temporal variability of rainfall; these aspects were evaluated through cross-validation of IDW performance.</p>
</sec>
<sec id="s3-1-3">
<label>3.1.3</label>
<title>Soil data</title>
<p>Soil characteristics were compiled from 1:50,000 geological maps, complemented by laboratory analyses of field-collected samples. Particle-size distribution and soil permeability were used to compute the <italic>K</italic> factor. All soil polygons were converted to raster format and resampled to 10 m to harmonize with the other inputs. Potential uncertainties in the <italic>K</italic> factor arise from scale discrepancies in the soil maps and from laboratory-based estimation of texture and permeability; these were minimized through field verification at representative locations.</p>
</sec>
<sec id="s3-1-4">
<label>3.1.4</label>
<title>Cover&#x2013;management data</title>
<p>Vegetation cover was derived from Sentinel-2A imagery (10-m resolution) accessed via the Copernicus DataSpace platform. After atmospheric correction and cloud masking, NDVI was computed and subsequently transformed into <italic>C</italic>-factor values following established empirical relationships. Sentinel-2A data were selected to ensure compatibility with the target spatial resolution, reducing resampling-related uncertainty.</p>
</sec>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Methodology</title>
<p>The evaluation of soil erosion dynamics in the UBW was conducted through an integrated geospatial modeling framework that combines GIS and RS techniques. This integrated approach enabled the spatial implementation of the RUSLE Equation. This model estimates the average annual soil loss by representing the landscape as a grid of raster cells, thus facilitating a continuous spatial assessment of erosion intensity across diverse terrain conditions.</p>
<p>The methodological workflow involved identifying, mapping, and quantifying the main biophysical and anthropogenic factors influencing soil erosion. Each parameter; namely, rainfall erosivity (<italic>R</italic>), soil erodibility (<italic>K</italic>), topographic factor (<italic>LS</italic>), vegetation cover and management (<italic>C</italic>), and support practice (<italic>P</italic>); was computed as an independent raster layer with a spatial resolution of 10 m. All datasets were harmonized under the WGS 1984-UTM-31N coordinate system to ensure spatial consistency. The integration of these layers using raster-based multiplication produced a composite erosion potential map expressing the spatial distribution of soil loss across the watershed.</p>
<p>The RUSLE model is mathematically expressed as <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>R</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where: A &#x3d; average annual soil loss (t&#xb7;ha<sup>-1</sup>&#xb7;yr<sup>-</sup>1),</p>
<p>
<italic>R</italic> &#x3d; rainfall erosivity factor (MJ&#xb7;mm&#xb7;ha<sup>-1</sup>&#xb7;h<sup>-1</sup>&#xb7;yr<sup>-1</sup>),</p>
<p>
<italic>K</italic> &#x3d; soil erodibility factor (t&#xb7;ha&#xb7;h/ha&#xb7;MJ&#xb7;mm),</p>
<p>
<italic>LS</italic> &#x3d; topographic factor (slope length and steepness),</p>
<p>
<italic>C</italic> &#x3d; vegetation cover and management factor (dimensionless), and</p>
<p>
<italic>P</italic> &#x3d; support practice factor (dimensionless), representing the soil conservation measures.</p>
<p>The study workflow comprised five principal stages: i: <italic>Data Collection and Compilation</italic>: Long-term precipitation data (2000&#x2013;2023) from 14 stations, Sentinel-2A imagery, field-collected soil samples, and a 12.5 m ALOS PALSAR DEM were compiled. ii: <italic>Data Preprocessing</italic>: All spatial datasets were georeferenced to the WGS 1984/UTM 31N system and resampled to a 10 m resolution. Preprocessing included atmospheric correction, cloud masking, NDVI computation, and data standardization. iii: <italic>Derivation of RUSLE Parameters</italic>: Each factor (<italic>R, K, LS, C, P</italic>) was computed individually using empirical or physically based formulations, with GIS tools applied for spatial analysis and rasterization. iv: <italic>Integration and Spatial Modeling</italic>: The five factor layers were integrated in GIS using raster algebra according to the RUSLE equation to produce a spatially explicit soil loss map (t&#xb7;ha<sup>-1</sup>&#xb7;yr<sup>-1</sup>). v: <italic>Classification and Validation</italic>: Computed soil loss values were reclassified into five erosion levels: very low, low, moderate, high, and very high. Validation involved field verification, comparison with land-use data, and consistency checks against known erosion-prone zones.</p>
<sec id="s3-2-1">
<label>3.2.1</label>
<title>Rainfall erosivity factor (<italic>R</italic>)</title>
<p>The rainfall erosivity factor (<italic>R</italic>) expresses the potential kinetic energy of rainfall to detach and transport soil particles. Among the parameters of the RUSLE model, <italic>R</italic> exerts one of the strongest influences on erosion rates (<xref ref-type="bibr" rid="B75">Yin et al., 2017</xref>). In its original formulation, <italic>R</italic> is defined as the product of the total kinetic energy of rainfall (<italic>E</italic>) and the maximum 30 min rainfall intensity (<italic>I</italic>
<sub>
<italic>30</italic>
</sub>). However, due to the lack of high-temporal-resolution pluviographic data for the study area, this direct computation was not feasible.</p>
<p>To address this limitation, empirical relationships suited to regions with incomplete rainfall data were adopted. Among several fundamental works (<xref ref-type="bibr" rid="B34">Kalman, 1967</xref>; <xref ref-type="bibr" rid="B5">Arnoldus, 1980</xref>), the <xref ref-type="bibr" rid="B53">Rango and Arnoldus (1987)</xref> formulation was selected, as it has been widely validated in North African and Mediterranean contexts. The relationship is expressed as <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1.74</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="italic">log</mml:mi>
<mml:mstyle displaystyle="true">
<mml:mo>&#x2211;</mml:mo>
</mml:mstyle>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mi>P</mml:mi>
<mml:mi>i</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:mi>P</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.29</mml:mn>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <italic>R</italic> is the rainfall erosivity factor (MJ&#xb7;mm&#xb7;ha<sup>-1</sup>&#xb7;h<sup>-1</sup>&#xb7;yr<sup>-1</sup>), P&#x1d62; is the monthly rainfall (mm), and <italic>P</italic> represents the annual precipitation (mm).</p>
<p>For this study, rainfall data from 14 meteorological stations located within and around the watershed were analyzed over a 24-year period (2000&#x2013;2023). Computed <italic>R</italic> values were spatially interpolated using GIS-based geostatistical techniques (Inverse Distance Weighting, IDW) to generate a continuous rainfall erosivity surface for the entire basin.</p>
</sec>
<sec id="s3-2-2">
<label>3.2.2</label>
<title>Vegetation cover and management factor (<italic>C</italic>)</title>
<p>The <italic>C</italic> factor quantifies the mitigating effect of land cover on soil erosion by comparing soil loss under actual vegetation conditions to that from bare soil (<xref ref-type="bibr" rid="B13">Chang-guang et al., 2012</xref>). Values of <italic>C</italic> close to zero indicate surfaces that are well-protected by vegetation, while values approaching one correspond to bare or sparsely vegetated areas (<xref ref-type="bibr" rid="B72">Wischmeier and Smith, 1978</xref>; <xref ref-type="bibr" rid="B58">Roose, 1977</xref>; <xref ref-type="bibr" rid="B59">Roose, 1994</xref>).</p>
<p>Vegetation reduces erosion through multiple mechanisms: intercepting raindrops, dissipating their kinetic energy, improving soil structure and infiltration, and slowing surface runoff. In this study, the Normalized Difference Vegetation Index (NDVI) was derived from Sentinel-2A imagery (10 m spatial resolution) to represent the spatial variability of vegetation cover. The empirical relationship between NDVI and the <italic>C</italic> factor was established using the regression proposed by <xref ref-type="bibr" rid="B69">Van der Knijff et al. (1999)</xref>, <xref ref-type="disp-formula" rid="e3">Equation 3</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mi>e</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="&#x7c;">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x3b1;</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac bevelled="true">
<mml:mrow>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>&#x3b2;</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>N</mml:mi>
<mml:mi>D</mml:mi>
<mml:mi>V</mml:mi>
<mml:mi>I</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>where the empirical coefficients &#x3b1; &#x3d; 2 and &#x3b2; &#x3d; 1 control the curvature of the NDVI&#x2013;<italic>C</italic> relationship. This formulation allows for a gradual and realistic transition of C values from dense vegetation (<italic>C</italic> &#x2248; 0) to bare soil (<italic>C</italic> &#x2248; 1), accurately reflecting the land-cover heterogeneity of the UBW.</p>
</sec>
<sec id="s3-2-3">
<label>3.2.3</label>
<title>Support practice factor (<italic>P</italic>)</title>
<p>The <italic>P</italic> factor reflects the effectiveness of human interventions designed to minimize surface runoff and reduce soil erosion. It represents the ratio between soil loss under a specific conservation practice and that under conventional upslope cultivation (<xref ref-type="bibr" rid="B19">Foster et al., 1997</xref>). Typical practices include terracing, contour farming, strip cropping, and vegetative barriers, all of which help decrease runoff velocity and enhance soil stability (<xref ref-type="bibr" rid="B63">Shin, 1999</xref>). <italic>P</italic> values range from 0 to 1, where values close to one denote areas lacking conservation practices, while values near 0 correspond to well-managed or terraced zones. Based on land-use type, slope gradient, and local agricultural practices, <italic>P</italic> values were assigned from published literature and adapted to the geomorphological conditions of the study area (<xref ref-type="bibr" rid="B20">Foster et al., 2003</xref>).</p>
</sec>
<sec id="s3-2-4">
<label>3.2.4</label>
<title>Topographic factor (<italic>LS</italic>)</title>
<p>The topographic factor (<italic>LS</italic>) accounts for the combined influence of slope length (<italic>L</italic>) and slope steepness (<italic>S</italic>) on erosion processes (<xref ref-type="bibr" rid="B17">Efthimiou et al., 2020</xref>). These parameters determine the accumulation and velocity of overland flow, directly influencing the soil&#x2019;s detachment and transport capacity (<xref ref-type="bibr" rid="B65">Stone and Hilborn, 2000</xref>).</p>
<p>The <italic>LS</italic> factor was derived from a 12.5 m resolution DEM obtained from the ALOS PALSAR platform. Terrain attributes such as slope and flow accumulation were computed in GIS using hydrological analysis tools (<xref ref-type="table" rid="T1">Table 1</xref>). The <italic>LS</italic> factor was then calculated according to the <xref ref-type="disp-formula" rid="e4">Equation 4</xref>, <xref ref-type="bibr" rid="B45">Moore and Burch (1986)</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi>L</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>A</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>r</mml:mi>
</mml:mrow>
<mml:mn>22.13</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>0.4</mml:mn>
</mml:msup>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>sin</mml:mi>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>0.01745</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mn>0.0896</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>1.4</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where FA is the flow accumulation (number of contributing cells), <italic>r</italic> is the cell resolution (12.5 m), and slope is expressed in degrees. This approach provides a detailed spatial quantification of topographic controls on erosion potential (<xref ref-type="bibr" rid="B44">Michalopoulou et al., 2022</xref>).</p>
</sec> <sec id="s3-2-5">
<label>3.2.5</label>
<title>Soil erodibility factor (<italic>K</italic>)</title>
<p>The <italic>K</italic> factor measures the inherent vulnerability of soil to detachment and transport by rainfall and surface runoff (<xref ref-type="bibr" rid="B56">R&#xf6;mkens, et al., 1997</xref>). It reflects the combined effects of soil texture, organic matter content, structure, and permeability; parameters that determine the soil&#x2019;s resistance to erosive forces (<xref ref-type="bibr" rid="B73">Wischmeier et al., 1971</xref>).</p>
<p>In this study, <italic>K</italic> was estimated using the <xref ref-type="disp-formula" rid="e5">Equation 5</xref>, <xref ref-type="bibr" rid="B72">Wischmeier and Smith (1978)</xref>:<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="italic">K</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2.1</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:msup>
<mml:mn>10</mml:mn>
<mml:mrow>
<mml:mo>&#x2010;</mml:mo>
<mml:mo>4</mml:mo>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi mathvariant="italic">M</mml:mi>
<mml:mn>1.14</mml:mn>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>12</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">b</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>2</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.5</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mo>3</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mn>100</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>where:</p>
<p>
<italic>M</italic> &#x3d; (% silt &#x2b; % fine sand) &#xd7; (100 &#x2212; % clay),</p>
<p>
<italic>&#x3b1;</italic> &#x3d; organic matter content (%),</p>
<p>
<italic>b</italic> &#x3d; permeability class (1&#x2013;6), and</p>
<p>
<italic>c</italic> &#x3d; soil structure code (1&#x2013;4).</p>
<p>A field campaign was undertaken to collect approximately 20 representative soil samples across various lithological and land-use units of the watershed. Laboratory analyses determined granulometric composition and organic matter content, while field assessments characterized structure and permeability classes. The derived <italic>K</italic> values were spatially interpolated to produce a continuous erodibility surface layer, which was integrated into the RUSLE model.</p>
<p>The complete sequence of operations; from data acquisition to the generation of the final soil erosion map is represented in the methodological flowchart (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Methodological workflow for soil erosion assessment in the UBW.</p>
</caption>
<graphic xlink:href="feart-13-1731125-g003.tif">
<alt-text content-type="machine-generated">Flowchart illustrating a model for soil loss evaluation using different data sources. Sentinel-2A satellite images provide NDVI, contributing to the C Factor. The Digital Elevation Model (DEM) offers flow accumulation and slope percentage for the Ls and P Factors. Meteorological data is used for interpolation in GIS, influencing the R Factor. Geological maps and measurements contribute to the K Factor. These factors integrate into a quantitative evaluation model expressed as A &#x3d; K&#x2a;R&#x2a;Ls&#x2a;C&#x2a;P, resulting in a soil loss map (T/h/an).</alt-text>
</graphic>
</fig>
</sec>
</sec>
</sec>
<sec sec-type="results|discussion" id="s4">
<label>4</label>
<title>Results and discussion</title>
<p>The results obtained from applying the RUSLE model to the UBW reveal complex, spatially heterogeneous erosion dynamics; shaped by the combined influence of rainfall, soil properties, topography, vegetation cover, and land management. Below I discuss how each RUSLE factor contributes to the observed patterns, compare with findings from recent studies, and reflect on regional implications of the results.</p>
<sec id="s4-1">
<label>4.1</label>
<title>Rainfall erosivity (<italic>R</italic>) and its role</title>
<p>Based on 24 years (2000&#x2013;2023) of precipitation data from 14 stations, the spatial interpolation of <italic>R</italic> values produced an erosivity map (<xref ref-type="fig" rid="F4">Figure 4a</xref>). <italic>R</italic> ranged from &#x223c;54 MJ&#xb7;mm&#xb7;ha<sup>-1</sup>&#xb7;h<sup>-1</sup>&#xb7;yr<sup>-1</sup> in the southern stations to &#x223c;73 MJ&#xb7;mm&#xb7;ha<sup>-1</sup>&#xb7;h<sup>-1</sup>&#xb7;yr<sup>-1</sup> in the northern highland zones. The highest erosivity class is concentrated in the northern portion of the basin, while lower values dominate the southern plains.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(a)</bold> Spatial distribution of the rainfall erosivity factor (R). <bold>(b)</bold> NDVI map. <bold>(c)</bold> Spatial distribution of the cover management factor (C). <bold>(d)</bold> Anti-erosive practice factor (P) map. <bold>(e)</bold> Topographic factor (LS) map of the UBW. <bold>(f)</bold> Spatial distribution of soil erodibility classes (K factor).</p>
</caption>
<graphic xlink:href="feart-13-1731125-g004.tif">
<alt-text content-type="machine-generated">Six thematic maps display various geographical factors in a defined region. Map (a) illustrates mean monthly rainfall with a blue gradient. Map (b) shows NDVI vegetation index using a green gradient. Map (c) visualizes Factor C, with darker shades indicating higher values. Map (d) represents Factor P with varying brown tones. Map (e) highlights Factor Ls using different shades of beige. Map (f) depicts Factor K, combining blue and orange shades. Each map includes a scale bar and north arrow.</alt-text>
</graphic>
</fig>
<p>This north-south gradient (with higher <italic>R</italic> values in more elevated, wetter, and steeper areas) echoes the results of a recent Mediterranean-region RUSLE-GIS analysis, where rainfall intensity significantly governed erosion hotspots, especially when paired with slope and sparse vegetation cover (<xref ref-type="bibr" rid="B18">Fadl et al., 2025</xref>).</p>
<p>Additionally, a very recent RUSLE-based study from northeastern Turkey showed that steep topography combined with spatially variable rainfall patterns led to high erosion risk zones, even when average basin-wide values suggested moderate susceptibility (<xref ref-type="bibr" rid="B21">Gezici et al., 2025</xref>).</p>
<p>These comparisons support the idea that in regions like UBW (with complex topography and variable precipitation) the R factor can act as a primary driver of erosion potential, rather than just a background forcing parameter.</p>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>Vegetation cover and land management (<italic>C</italic> and <italic>P</italic> factors)</title>
<p>Our NDVI-derived <italic>C</italic> factor map (<xref ref-type="fig" rid="F4">Figures 4b,c)</xref> indicates widespread bare or sparsely vegetated surfaces covering &#x223c;63% of the watershed. Areas with moderate vegetation cover (seasonal crops) represent &#x223c;27%, while denser vegetation (forest, shrublands) covers only &#x223c;9.5%, mainly along Wadi Bousselam and in mountainous pockets. Thus, protective land cover is localized and discontinuous. This pattern concurs with broader regional findings. For example, a recent study applying RUSLE&#x2013;GIS in a Mediterranean plain under similar semi-arid conditions identified poor vegetation cover and land-use fragmentation as leading contributors to erosion risk (<xref ref-type="bibr" rid="B18">Fadl et al., 2025</xref>). Moreover, in steep, mountainous or semi-arid watersheds where vegetation is patchy, even high rainfall erosivity does not always translate proportionally to high soil loss; this decoupling was documented in a humid-mountain watershed study, where dense vegetation sometimes failed to prevent severe erosion under extreme rainfall and steep slopes (<xref ref-type="bibr" rid="B26">Hag Husein et al., 2024</xref>). Thus, in UBW, the scarcity and discontinuity of protective cover likely amplify soil vulnerability. The limited effectiveness of conservation practices (<italic>P</italic> factor) on steep slopes further increases the risk, especially in areas where P values approach (<xref ref-type="fig" rid="F4">Figure 4d</xref>).</p>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Topography (<italic>LS</italic> factor) and soil erodibility (<italic>K</italic> factor)</title>
<p>The <italic>LS</italic> factor derived from DEM shows a wide range, from near 0 on gentle plains to over 25 in steep mountainous zones (<xref ref-type="fig" rid="F4">Figure 4e</xref>). Flat and gently undulating areas (<italic>LS</italic> &#x3d; 0&#x2013;5) dominate &#x223c;87.4% of the basin; indicating limited slope-driven erosion in the majority of the landscape. However, steeper piedmont and mountainous zones (though covering a smaller area) exhibit much higher <italic>LS</italic> values, and thus disproportionately higher erosion risk.</p>
<p>This spatial topography&#x2013;erosion relationship is well-aligned with findings from other RUSLE-based regional studies. In the northeastern Turkey analysis, steep topographic sectors were identified as major erosion hotspots, reinforcing the importance of <italic>LS</italic> in modulating overall soil loss (<xref ref-type="bibr" rid="B21">Gezici et al., 2025</xref>).</p>
<p>Regarding soil erodibility (<italic>K</italic>), our results show strong variability (0.01&#x2013;0.4), reflecting heterogeneity in texture, structure, organic matter content, and soil cohesion (<xref ref-type="fig" rid="F4">Figure 4f</xref>). Soils with high silt content and low organic matter (often found in plains and glacis deposits) present higher erodibility; whereas rocky outcrops and cohesive soils (limestones, compact deposits) show low erodibility. These patterns are consistent with soil-erosion dynamics reported in semi-arid to Mediterranean environments, where erodibility strongly correlates with soil texture and organic matter content (<xref ref-type="bibr" rid="B14">Charef et al., 2025</xref>).</p>
<p>The designation of each erosion-related factor, including the defined categories, their numerical thresholds, and the proportion of watershed area belonging to each class, is summarized in <xref ref-type="table" rid="T4">Tables 4</xref>&#x2013;<xref ref-type="table" rid="T9">9</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Values of the R factor Vs. the annual precipitation at the different stations.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Station</th>
<th align="center">Longitude</th>
<th align="center">Latitude</th>
<th align="center">R factor</th>
<th align="center">Precipitation</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Setif</td>
<td align="center">717191.55</td>
<td align="center">4010060.49</td>
<td align="center">62.2</td>
<td align="center">455.33</td>
</tr>
<tr>
<td align="left">Bougaa</td>
<td align="center">687570.13</td>
<td align="center">4022921.53</td>
<td align="center">71.08</td>
<td align="center">539.16</td>
</tr>
<tr>
<td align="left">Ain kbira</td>
<td align="center">724958.31</td>
<td align="center">4027860.38</td>
<td align="center">73.2</td>
<td align="center">565.5</td>
</tr>
<tr>
<td align="left">Eulma</td>
<td align="center">742904.00</td>
<td align="center">4004020.00</td>
<td align="center">63.66</td>
<td align="center">470.54</td>
</tr>
<tr>
<td align="left">Ain oulmene</td>
<td align="center">708228.07</td>
<td align="center">3978512.75</td>
<td align="center">60.07</td>
<td align="center">437.91</td>
</tr>
<tr>
<td align="left">Ain azel</td>
<td align="center">726805.68</td>
<td align="center">3966812.66</td>
<td align="center">57.75</td>
<td align="center">412.83</td>
</tr>
<tr>
<td align="left">Ain zada</td>
<td align="center">698273.83</td>
<td align="center">4004640.71</td>
<td align="center">62.76</td>
<td align="center">461.33</td>
</tr>
<tr>
<td align="left">Bir kasdeli</td>
<td align="center">682603.84</td>
<td align="center">4002113.44</td>
<td align="center">62.76</td>
<td align="center">461.33</td>
</tr>
<tr>
<td align="left">Boutaleb</td>
<td align="center">710362.644</td>
<td align="center">3949676.728</td>
<td align="center">54.34</td>
<td align="center">379.04</td>
</tr>
<tr>
<td align="left">Hamem sou</td>
<td align="center">753343.095</td>
<td align="center">3985155.396</td>
<td align="center">56.8</td>
<td align="center">405.87</td>
</tr>
<tr>
<td align="left">Ain abassa</td>
<td align="center">705867.71</td>
<td align="center">4019282.93</td>
<td align="center">72.71</td>
<td align="center">560</td>
</tr>
<tr>
<td align="left">Guedjel</td>
<td align="center">727756.56</td>
<td align="center">4000146.33</td>
<td align="center">62.2</td>
<td align="center">455.33</td>
</tr>
<tr>
<td align="left">Mezloug</td>
<td align="center">710606.144</td>
<td align="center">3998338.155</td>
<td align="center">62.2</td>
<td align="center">455.33</td>
</tr>
<tr>
<td align="left">Elghdir</td>
<td align="center">671289.452</td>
<td align="center">3974557.815</td>
<td align="center">63.71</td>
<td align="center">475.08</td>
</tr>
<tr>
<td align="left">Ain lehdjar</td>
<td align="center">728824.84</td>
<td align="center">3980149.58</td>
<td align="center">57.75</td>
<td align="center">412.83</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Different classes of the C-factor.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Classe</th>
<th align="center">C</th>
<th align="center">Surface ha</th>
<th align="center">Surface %</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0.0023&#x2013;0.2</td>
<td align="center">3083.5</td>
<td align="center">1.753904</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0.2&#x2013;0.4</td>
<td align="center">3640.59</td>
<td align="center">2.070779</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0.4&#x2013;0.6</td>
<td align="center">10009.45</td>
<td align="center">5.693406</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">0.6&#x2013;0.8</td>
<td align="center">47863.63</td>
<td align="center">27.22498</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">0.8&#x2013;1</td>
<td align="center">111210.6</td>
<td align="center">63.25692</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Values of the P-Factor.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">P Facteur</th>
<th align="center">Superficie ha</th>
<th align="center">Percentage</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0.55</td>
<td align="center">102909.5</td>
<td align="center">58.53784</td>
</tr>
<tr>
<td align="center">0.6</td>
<td align="center">31779.47</td>
<td align="center">18.07705</td>
</tr>
<tr>
<td align="center">0.8</td>
<td align="center">19354.39</td>
<td align="center">11.00932</td>
</tr>
<tr>
<td align="center">0.9</td>
<td align="center">11982.64</td>
<td align="center">6.816064</td>
</tr>
<tr>
<td align="center">1</td>
<td align="center">9773.994</td>
<td align="center">5.559722</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Classes of the LS factor.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Ls factor</th>
<th align="center">Surface in ha</th>
<th align="center">Percentage</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0&#x2013;5</td>
<td align="center">153588.4</td>
<td align="center">87.36242</td>
</tr>
<tr>
<td align="center">5&#x2013;10</td>
<td align="center">11444.58</td>
<td align="center">6.509775</td>
</tr>
<tr>
<td align="center">10&#x2013;15</td>
<td align="center">5034.594</td>
<td align="center">2.86372</td>
</tr>
<tr>
<td align="center">15&#x2013;20</td>
<td align="center">2474.125</td>
<td align="center">1.407304</td>
</tr>
<tr>
<td align="center">&#x3e;20</td>
<td align="center">3264.344</td>
<td align="center">1.856787</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Different classes of soil erodibility according to area.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Classe</th>
<th align="center">K</th>
<th align="center">Surface</th>
<th align="center">Percentage %</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0.01</td>
<td align="center">29301.64</td>
<td align="center">16.66712</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0.01&#x2013;0.14</td>
<td align="center">38357</td>
<td align="center">21.81791</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0.14&#x2013;0.20</td>
<td align="center">796.44</td>
<td align="center">0.453024</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">0.20&#x2013;0.3</td>
<td align="center">105519.4</td>
<td align="center">60.02068</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">0.3&#x2013;0.4</td>
<td align="center">1830.59</td>
<td align="center">1.041261</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>The anti-erosive practice factor as a function of slope (<xref ref-type="bibr" rid="B63">Shin, 1999</xref>).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Slope %</th>
<th align="center">P factor</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">0&#x2013;7</td>
<td align="center">0.55</td>
</tr>
<tr>
<td align="center">7&#x2013;11.3</td>
<td align="center">0.6</td>
</tr>
<tr>
<td align="center">11.3&#x2013;17.6</td>
<td align="center">0.8</td>
</tr>
<tr>
<td align="center">17.6&#x2013;26.8</td>
<td align="center">0.9</td>
</tr>
<tr>
<td align="center">&#x3e;26.8</td>
<td align="center">1</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s4-4">
<label>4.4</label>
<title>Spatial distribution of soil loss and erosion hotspots</title>
<p>Combining all factors in the RUSLE equation produced spatial soil loss estimates ranging from &#x223c;0 to &#x3e;33 t ha<sup>-1</sup>&#xb7;yr<sup>-1</sup> (<xref ref-type="fig" rid="F5">Figure 5</xref>). Roughly 70% of UBW is characterized by low erosion rates (&#x3c;6 t ha<sup>-1</sup>&#xb7;yr<sup>-1</sup>), typically in flat plains with some vegetation cover. Moderate (5&#x2013;15 t ha<sup>-1</sup>&#xb7;yr<sup>-1</sup>) and high (&#x3e;15 t ha<sup>-1</sup>&#xb7;yr<sup>-1</sup>) erosion zones are concentrated on steep slopes, particularly in mountainous and piedmont zones where vegetation is sparse, soils are erodible, and conservation practices are minimal (<xref ref-type="fig" rid="F6">Figure 6</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Soil loss map of the UBW.</p>
</caption>
<graphic xlink:href="feart-13-1731125-g005.tif">
<alt-text content-type="machine-generated">Map of a geographic area with color-coded regions indicating soil erosion levels in tons per hectare per year. Brown through shades of teal represent increasing erosion, with a scale from 0 to over 33. A compass rose and scale bar for distance are included.</alt-text>
</graphic>
</fig>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Soil loss classes of the UBW.</p>
</caption>
<graphic xlink:href="feart-13-1731125-g006.tif">
<alt-text content-type="machine-generated">Map illustrating susceptibility levels in a region, with a color-coded key showing areas from very low (dark green) to very high (red) risk. Includes a compass and scale in kilometers.</alt-text>
</graphic>
</fig>
<p>This spatial heterogeneity matches patterns found in other recent RUSLE-GIS studies across Mediterranean and semi-arid basins, where erosion hotspots are often localized in steep, sparsely vegetated landscapes rather than uniformly distributed (<xref ref-type="bibr" rid="B18">Fadl et al., 2025</xref>).</p>
<p>Furthermore, the marked contrast between plains and hillslopes underscores the importance of terrain and land cover interplay; a conclusion supported by studies showing that even in humid mountain regions, steep slopes greatly exacerbate erosion despite vegetation cover (<xref ref-type="bibr" rid="B26">Hag Husein et al., 2024</xref>).</p>
</sec>
<sec id="s4-5">
<label>4.5</label>
<title>Implications, model strengths, and limitations</title>
<p>The congruence between our findings and those reported in recent literature confirms that the RUSLE&#x2013;GIS approach remains a robust, practical tool for assessing soil erosion risk in semi-arid to Mediterranean watersheds, including UBW. Similar to a recent study in northeastern Turkey under changing climate, our results highlight how spatial heterogeneity (rather than average basin-wide metrics) best captures erosion risk distribution and helps target conservation efforts (<xref ref-type="bibr" rid="B21">Gezici et al., 2025</xref>). Nevertheless, some limitations must be acknowledged. As earlier studies have pointed out (in Mediterranean contexts where RUSLE tends to overestimate actual soil loss), our model does not account for certain local processes such as gully erosion, sediment deposition, or land-use change dynamics. Moreover, given the fragmentation and low density of vegetation, small-scale land management practices or episodic extreme events may alter erosion patterns beyond what RUSLE predicts. Similar challenges were discussed in semi-arid Algerian basins where sparse data and heterogenous land cover complicate direct comparisons with empirical measurements (<xref ref-type="bibr" rid="B31">Hammad et al., 2004</xref>).</p>
</sec>
<sec id="s4-6">
<label>4.6</label>
<title>Treatment of uncertainty</title>
<p>Although each RUSLE factor introduces its own sources of uncertainty, steps were taken to reduce and document them:</p>
<p>
<italic>R</italic> factor: Uncertainties assessed from station density and IDW cross-validation.</p>
<p>
<italic>K</italic> factor: Variability linked to soil map resolution and laboratory-derived texture measurements; mitigated through field checks.</p>
<p>
<italic>LS</italic> factor: Sensitive to DEM accuracy; preprocessed to remove sinks and artifacts.</p>
<p>
<italic>C</italic> factor: Dependent on seasonal NDVI fluctuations; addressed by selecting imagery from representative phenological periods.</p>
<p>
<italic>P</italic> factor: Derived from slope classes; uncertainty linked to generalized assumptions regarding local conservation practices.</p>
</sec>
<sec id="s4-7">
<label>4.7</label>
<title>Limitations and future perspectives</title>
<p>While the RUSLE&#x2013;GIS framework offers a practical means of examining erosion dynamics across the UBW, the results must be interpreted in light of several methodological constraints. A first limitation concerns the heterogeneous spatial resolution of the input datasets&#x2014;namely the DEM, land-cover layers, and soil information&#x2014;which may smooth or obscure small-scale features such as micro-relief variations, localized farming practices, or narrow erosion pathways. Moreover, the RUSLE model represents a simplified, steady-state view of erosion and does not explicitly capture transient or process-driven phenomena such as gully development, sediment deposition, channel bank retreat, or rapid land-use shifts. These omissions can lead to discrepancies between modelled soil loss and field conditions, particularly in highly dynamic parts of the basin. Parameter uncertainties also play a role: the interpolation of rainfall erosivity, the estimation of the <italic>C</italic> factor from NDVI, and the attribution of soil erodibility values all involve assumptions that could not be fully validated due to limited ground data. In addition, the temporal scope of the analysis reflects long-term averages and therefore does not account for the impact of short, intense storm events that often dominate sediment generation in semi-arid environments. Looking forward, future work would benefit from integrating higher-resolution datasets, expanding field-based sediment monitoring programmes, and combining RUSLE with physically based or sediment-delivery models. Such enhancements would improve the representation of local processes and strengthen the predictive capacity of erosion assessments under evolving climatic and land-use conditions.</p>
</sec>
<sec id="s4-8">
<label>4.8</label>
<title>Recommendations for conservation</title>
<p>The concentration of elevated erosion risk on steep slopes, highly erodible soils, and areas lacking sufficient vegetation highlights the urgent need for targeted soil and water conservation measures across the UBW. Drawing on both the present findings and evidence from comparable Mediterranean and semi-arid basins, several strategies emerge as particularly effective. Slope stabilization remains a priority, especially in sectors characterized by high <italic>LS</italic> values, where terracing, contour farming, and the installation of vegetative buffer strips have been shown to substantially reduce soil loss (<xref ref-type="bibr" rid="B21">Gezici et al., 2025</xref>). Increasing long-term vegetative cover through reforestation, assisted natural regeneration, and the protection of riparian corridors can further enhance soil cohesion and reduce runoff velocities; benefits consistently reported in recent RUSLE-based studies (<xref ref-type="bibr" rid="B18">Fadl et al., 2025</xref>). In addition, sustainable land-use planning that limits repeated soil disturbance, particularly in areas with high <italic>K</italic> values, is essential to prevent ongoing degradation.</p>
<p>Although RUSLE-GIS provides a useful first-order approximation of spatial erosion patterns, future work should integrate more detailed approaches. Field-based sediment measurements, sediment-delivery modelling, and physically based hydrological&#x2013;erosion models would help validate and refine RUSLE outputs, thereby improving the reliability of conservation recommendations.</p>
<p>Comparative assessments with recent studies underscore both the strengths and limits of our approach. <xref ref-type="bibr" rid="B70">Wei et al. (2024)</xref>, for example, modified RUSLE to incorporate seasonal snow cover in the Tianshan high-mountain environment, where snowmelt and ridge-zone processes drive exceptionally high erosion rates. The markedly lower values obtained in the UBW reflect its gentler terrain and semi-arid climate, where snow-related controls are minimal and the standard RUSLE formulation performs more consistently. In <xref ref-type="bibr" rid="B16">Didi et al. (2025)</xref>, very high soil loss values were observed in steep, sparsely vegetated mountain terrain, whereas in our basin the maximum estimated losses (&#x223c;33 t ha<sup>-1</sup> yr<sup>-1</sup>) remain comparatively lower and more diffusely distributed across piedmonts and slope margins. Similarly, <xref ref-type="bibr" rid="B68">Thomas et al. (2018)</xref> reported much higher mean gross erosion rates in a tropical mountain basin and employed a sediment-delivery component not included in our model framework. Their findings highlight the influence of intensive land-use practices on sediment transport, whereas in the UBW erosion patterns are driven predominantly by intrinsic environmental factors such as rainfall variability, soil erodibility, and discontinuous vegetation cover.</p>
</sec>
</sec>
<sec id="s5">
<label>5</label>
<title>Conclusion, recommendations and outlook perspectives</title>
<p>This study provides a comprehensive evaluation of soil erosion dynamics in the UBW through the integration of the RUSLE model with GIS and field-based analyses. By combining quantitative modeling with spatial data, the research quantified the influence of five key parameters: rainfall erosivity (<italic>R</italic>), soil erodibility (<italic>K</italic>), topographic factor (<italic>LS</italic>), vegetation cover (<italic>C</italic>), and conservation practices (<italic>P</italic>); which collectively determine the spatial variability of erosion across the UBW.</p>
<p>The results reveal a pronounced spatial heterogeneity in soil loss rates, reflecting the complex interplay between natural and anthropogenic factors. More than two-thirds of the watershed is characterized by low to moderate erosion potential, with estimated soil losses below 6 t/ha/year, primarily in gently sloping areas and zones with stable vegetation cover. In contrast, the northern and southwestern sectors exhibit the highest erosion intensities, exceeding 33 t/ha/year over approximately 9% of the total area. These critical zones correspond to steep topographic gradients, friable geological formations, and reduced vegetative protection, conditions that enhance the impact of intense rainfall events and accelerate surface runoff and sediment detachment.</p>
<p>The integrated RUSLE&#x2013;GIS approach proved effective in capturing the spatial distribution and magnitude of soil erosion, offering a valuable decision-support framework for land and water management. The derived maps not only identify the most erosion-prone areas but also provide essential insights into the underlying processes driving land degradation. These findings underscore the importance of adopting targeted soil and water conservation strategies, including reforestation, contour farming, terracing, and slope stabilization, particularly in high-susceptible zones.</p>
<p>At last, this work highlights the urgent need for sustainable land-use planning and adaptive watershed management to mitigate soil loss and preserve ecosystem functions. Future research should aim to refine erosion modeling by integrating temporal datasets, sediment yield measurements, and hydrological simulations, thereby improving predictive accuracy and supporting long-term resilience of the UBW under changing climatic and land-use conditions.</p>
<p>The results of this study provide a scientific basis for prioritizing soil and water conservation interventions within the semi-arid environments of the MENA region. By identifying erosion-prone zones with spatial precision, the findings enable policymakers and local planners to implement targeted measures that optimize resource allocation and reduce land degradation risks. Integrating RUSLE&#x2013;GIS assessments into regional land management programs would strengthen soil conservation planning, improve agricultural productivity, and enhance watershed resilience to climatic extremes. Furthermore, the methodological framework developed here can be replicated in other semi-arid regions facing similar geomorphological and hydrological challenges, thereby contributing to broader sustainable land management efforts.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>AG: Methodology, Data curation, Writing &#x2013; original draft, Investigation, Conceptualization. RH: Writing &#x2013; review and editing, Validation, Methodology, Supervision, Conceptualization. KF: Writing &#x2013; original draft, Visualization, Software, Validation, Conceptualization, Supervision. SA: Conceptualization, Resources, Writing &#x2013; original draft, Formal Analysis. EA: Data curation, Methodology, Writing &#x2013; original draft. MA: Methodology, Conceptualization, Resources, Writing &#x2013; original draft. JA: Writing &#x2013; original draft, Conceptualization, Software. CF: Writing &#x2013; review and editing, Validation, Project administration, Visualization.</p>
</sec>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The author(s) declared that this work was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declared that generative AI was not used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn fn-type="custom" custom-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1177469/overview">Dongri Song</ext-link>, Chinese Academy of Sciences (CAS), China</p>
</fn>
<fn fn-type="custom" custom-type="reviewed-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2025858/overview">Mohammad Azarafza</ext-link>, University of Tabriz, Iran</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3261648/overview">Kadir Gezici</ext-link>, Atat&#xfc;rk &#xdc;niversitesi, T&#xfc;rkiye</p>
</fn>
</fn-group>
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