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However, whether SSIE can be effectively utilized for the quantitative assessment of soil erosion across various types of water-erosion areas and the specific methodology for its application remain unclear. This study focused on the quantitative relationship between SSIE, the slope length and slope steepness (LS) factor within various types of water-erosion areas across different spatial scales in China using multi-source geographic information data and technical tools such as remote sensing and geographic information systems. The results revealed (1) clear consistency in the spatial patterns of SSIE and the LS factor, which both displayed a distinct three-step distribution pattern from south to north. (2) The power model (Y = A\u00b7X^B) demonstrated a superior capacity to explaining the relationship between SSIE and the LS factors compared to the linear or exponential models, as evidenced by a higher coefficient of determination (R2). R2 values of different evaluation units (second-grade water-erosion area, third-grade water-erosion area, 30 km \u00d7 30 km grid, and 15 km \u00d7 15 km grid) were 0.88, 0.88, 0.81, and 0.79, respectively. (3) Despite a range of variances across various spatial scale evaluation units and different types of water-erosion areas, no significant disparities were evident within the power model. These findings offer a new topographic factor that can be incorporated into models designed for the expedited evaluation of soil erosion rates across water-erosion areas. Information about the proximity of the SSIE to the LS factor is valuable for enhancing the practical utilization of SSIE in the quantitative evaluation of soil erosion.<\/jats:p>","DOI":"10.3390\/rs16152816","type":"journal-article","created":{"date-parts":[[2024,7,31]],"date-time":"2024-07-31T17:16:49Z","timestamp":1722446209000},"page":"2816","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Quantifying the Relationship between Slope Spectrum Information Entropy and the Slope Length and Slope Steepness Factor in Different Types of Water-Erosion Areas in China"],"prefix":"10.3390","volume":"16","author":[{"given":"Fujin","family":"Xu","sequence":"first","affiliation":[{"name":"Xinjiang Key Laboratory of Oasis Ecology, College of Geography and Remote Sensing Sciences, Xinjiang University, Urumqi 830046, China"}]},{"given":"Weijun","family":"Zhao","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Geomatics, Shandong University of Technology, Zibo 255000, China"}]},{"given":"Tingting","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Geomatics, Shandong University of Technology, Zibo 255000, China"}]},{"given":"Wei","family":"Qin","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing 100048, China"}]},{"given":"Guanghe","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Ecology and Environment, Southwest Forestry University, Kunming 650224, China"}]},{"given":"Ningning","family":"Fang","sequence":"additional","affiliation":[{"name":"Ecological Environment Monitoring Center of Zibo, Zibo 255000, China"}]},{"given":"Changchun","family":"Xu","sequence":"additional","affiliation":[{"name":"Xinjiang Key Laboratory of Oasis Ecology, College of Geography and Remote Sensing Sciences, Xinjiang University, Urumqi 830046, China"}]}],"member":"1968","published-online":{"date-parts":[[2024,7,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"108083","DOI":"10.1016\/j.agee.2022.108083","article-title":"Multiple Perspective Accountings of Cropland Soil Erosion in China Reveal Its Complex Connection with Socioeconomic Activities","volume":"337","author":"Li","year":"2022","journal-title":"Agric. 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