Volume 50, Issue 6 e70092
RESEARCH ARTICLE

Relationship between the fractal dimension of soil aggregates and erosion in degraded lands in the Qinling–Ba mountainous area of China

Wenfeng Ding

Corresponding Author

Wenfeng Ding

Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan, China

Correspondence

Wenfeng Ding, Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan 430010, China.

Email: [email protected]

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Xunchang Zhang

Xunchang Zhang

USDA-ARS, Grazinglands Research Lab, El Reno, OK, USA

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Li Li

Li Li

Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan, China

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Xiaoxia Tong

Xiaoxia Tong

Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan, China

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Jianmin Li

Jianmin Li

Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan, China

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Yu Zheng

Yu Zheng

Soil and Water Conservation Department of Yangtze River Scientific Research Institute, Wuhan, China

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First published: 27 May 2025

Abstract

The aggregate size distribution (ASD) is an important soil characteristic that is influenced by soil erosion processes and land degradation. However, very few studies have aimed to explore the responses of the soil ASD to land degradation. With respect to the Qinling–Ba mountainous area in southern Shaanxi Province, China, this study aimed to investigate the soil ASD in different degraded land ecosystems and their responses to erosion using fractal theory. Thirty-three plots (7 m2) classified into five land use types representing different degrees of degradation (agriculture, horticulture, grassland, coppices and mature forest) were established to determine and compare runoff and sediment yield. A total of 99 soil samples were collected, and the soil ASD was analysed to determine the fractal dimension (FD). The results revealed that the aggregate FD values ranged from 2.21 to 2.44 for the dry-sieving method (FDdry) and from 2.70 to 2.82 for the wet-sieving method (FDwet). The average FDdry values followed the order of coppices > agriculture > mature forest > horticulture > grassland, whereas the average FDwet values followed the order of grassland > horticulture > agriculture > coppices > mature forest. Lower FDwet values were associated with soil dominated by larger aggregates. Statistically significant differences in runoff and sediment were found between agriculture, horticulture, grassland and coppices and mature forest at the 0.05 level of significance. The erosion rate was positively and linearly related to the FDwet value (R2 = 0.74, p < 0.05) and negatively related to the FDdry value (R2 = 0.136, p < 0.5). The results indicated that erosion is more notably related to the FDwet value than to the FDdry value. This study highlights the importance of understanding the soil ASD and its implications for erosion processes, which can inform sustainable land management practices and strategies for soil conservation in this region.

CONFLICT OF INTEREST STATEMENT

The authors declare no conflict of interest.

DATA AVAILABILITY STATEMENT

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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