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Updated: Nov 1, 2025

Use of Principal Components for Scaling Up Topographic Models to Map Soil Redistribution and Soil Organic Carbon
Published on: October 16, 2018
Erosion potential mapping using analytical hierarchy process (AHP) and fractal dimension
Kamila J Kabo-Bah1,2, Tang Guoan1, Xin Yang1
1College of Geographic Science, Nanjing Normal University, No.1 Wenyuan Road, Nanjing Normal University, Nanjing, Jiangsu Province, 210023, China.
Integrating fractal dimension (FD) into erosion potential mapping significantly improves accuracy in the Loess Plateau. This study highlights FD
Area of Science:
- Geosciences
- Environmental Science
- Geography
Background:
- Soil erosion is a major threat to sustainable land management in China's Loess Plateau.
- Previous Erosion Potential Mapping (EPM) studies have limitedly explored the role of terrain fractal dimension (FD).
Purpose of the Study:
- To assess the influence of fractal terrain features on Erosion Potential Mapping (EPM).
- To determine the optimal scale for EPM incorporating fractal analysis.
Main Methods:
- Analytical Hierarchical Process (AHP) with 6 criteria: FD, Land Use Land Cover, Slope, Elevation, Geomorphology, and Flow Accumulation.
- Development within a Geographic Information System (GIS) framework.
- Evaluation of 8 scales to identify the best scale with low Consistency Ratio (CR) and Minimum Relative Error (MRE).
Main Results:
- EPM integrating FD produced more reliable results compared to models without FD.
- EPM with FD showed 29.4% low erosion potential, while EPM without FD showed 46.7%.
- Approximately 70% of the Shaanxi province faces a high risk of erosion.
Conclusions:
- Fractal dimension is a crucial factor for accurate EPM in the Loess Plateau.
- The study recommends integrating fractal analysis into EPM for China and similar regions.
- Sustainable soil management measures are essential to mitigate erosion risks and protect ecological habitats.
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