The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning

IntroductionSoil erosion is a critical issue faced by many regions around the world, especially in the purple soil hilly areas. Rainfall and slope, as major driving factors of soil erosion, pose a significant challenge in quantifying their impact on hillslope runoff and sediment yield. While existin...

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Main Authors: Naichang Zhang, Zhaohui Xia, Peng Li, Qitao Chen, Ganggang Ke, Fan Yue, Yaotao Xu, Tian Wang
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-04-01
Series:Frontiers in Environmental Science
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Online Access:https://www.frontiersin.org/articles/10.3389/fenvs.2025.1580149/full
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author Naichang Zhang
Zhaohui Xia
Peng Li
Qitao Chen
Ganggang Ke
Fan Yue
Fan Yue
Yaotao Xu
Tian Wang
author_facet Naichang Zhang
Zhaohui Xia
Peng Li
Qitao Chen
Ganggang Ke
Fan Yue
Fan Yue
Yaotao Xu
Tian Wang
author_sort Naichang Zhang
collection DOAJ
description IntroductionSoil erosion is a critical issue faced by many regions around the world, especially in the purple soil hilly areas. Rainfall and slope, as major driving factors of soil erosion, pose a significant challenge in quantifying their impact on hillslope runoff and sediment yield. While existing studies have revealed the effects of rainfall intensity and slope on soil erosion, a comprehensive analysis of the interactions between different rainfall types and slope is still lacking. To address this gap, this study, based on machine learning methods, explores the effects of rainfall type, rainfall amount, maximum 30-min rainfall intensity (I30), and slope on hillslope runoff depth (H) and erosion-induced sediment yield (S), and unveils the interactions among these factors.MethodsThe K-means clustering algorithm was used to classify 43 rainfall events into three types: A-type, B-type, and C-type. A-type is characterized by long duration, large rainfall amounts, and moderate intensity; B-type by short duration, small rainfall amounts, and high intensity; and C-type is intermediate between A-type and B-type. The Random Forest (RF) algorithm was employed to assess the impacts of these factors on runoff and sediment yield, along with a feature importance analysis.ResultsThe results show that rainfall amount has the most significant impact on runoff and sediment yield. Under different rainfall types, the ranking of the effects of rainfall amount and I30 on H and S is as follows: rainfall amount (C>A>B), I30 (A>B>C). The impact of slope follows a trend of first increasing and then decreasing, with varying degrees of influence on H and S depending on the rainfall type.DiscussionThe novelty of this study lies in combining machine learning techniques to systematically evaluate, for the first time, the interactions between rainfall type and slope and their impact on hillslope runoff and sediment yield in purple soil hilly areas. This research not only provides a theoretical basis for soil erosion control but also offers scientific support for the precise prediction and management of soil conservation measures in purple soil regions.
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spelling doaj-art-348fd02501f946eab92bc533bf48a6ab2025-08-20T02:12:38ZengFrontiers Media S.A.Frontiers in Environmental Science2296-665X2025-04-011310.3389/fenvs.2025.15801491580149The impact of rainfall and slope on hillslope runoff and erosion depending on machine learningNaichang Zhang0Zhaohui Xia1Peng Li2Qitao Chen3Ganggang Ke4Fan Yue5Fan Yue6Yaotao Xu7Tian Wang8Power China Northwest Engineering Corporation Limited, Xi’an, ChinaPower China Northwest Engineering Corporation Limited, Xi’an, ChinaState Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, ChinaState Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, ChinaState Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, ChinaPower China Northwest Engineering Corporation Limited, Xi’an, ChinaShaanxi Union Research Center of University and Enterprise for River and Lake Ecosystems Protection and Restoration, Xi’an, ChinaState Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, ChinaState Key Laboratory of Eco-Hydraulics in Northwest Arid Region of China, Xi’an University of Technology, Xi’an, ChinaIntroductionSoil erosion is a critical issue faced by many regions around the world, especially in the purple soil hilly areas. Rainfall and slope, as major driving factors of soil erosion, pose a significant challenge in quantifying their impact on hillslope runoff and sediment yield. While existing studies have revealed the effects of rainfall intensity and slope on soil erosion, a comprehensive analysis of the interactions between different rainfall types and slope is still lacking. To address this gap, this study, based on machine learning methods, explores the effects of rainfall type, rainfall amount, maximum 30-min rainfall intensity (I30), and slope on hillslope runoff depth (H) and erosion-induced sediment yield (S), and unveils the interactions among these factors.MethodsThe K-means clustering algorithm was used to classify 43 rainfall events into three types: A-type, B-type, and C-type. A-type is characterized by long duration, large rainfall amounts, and moderate intensity; B-type by short duration, small rainfall amounts, and high intensity; and C-type is intermediate between A-type and B-type. The Random Forest (RF) algorithm was employed to assess the impacts of these factors on runoff and sediment yield, along with a feature importance analysis.ResultsThe results show that rainfall amount has the most significant impact on runoff and sediment yield. Under different rainfall types, the ranking of the effects of rainfall amount and I30 on H and S is as follows: rainfall amount (C>A>B), I30 (A>B>C). The impact of slope follows a trend of first increasing and then decreasing, with varying degrees of influence on H and S depending on the rainfall type.DiscussionThe novelty of this study lies in combining machine learning techniques to systematically evaluate, for the first time, the interactions between rainfall type and slope and their impact on hillslope runoff and sediment yield in purple soil hilly areas. This research not only provides a theoretical basis for soil erosion control but also offers scientific support for the precise prediction and management of soil conservation measures in purple soil regions.https://www.frontiersin.org/articles/10.3389/fenvs.2025.1580149/fullpurple soilrandom forestclustering algorithmslope scalesoil erosion
spellingShingle Naichang Zhang
Zhaohui Xia
Peng Li
Qitao Chen
Ganggang Ke
Fan Yue
Fan Yue
Yaotao Xu
Tian Wang
The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
Frontiers in Environmental Science
purple soil
random forest
clustering algorithm
slope scale
soil erosion
title The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
title_full The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
title_fullStr The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
title_full_unstemmed The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
title_short The impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
title_sort impact of rainfall and slope on hillslope runoff and erosion depending on machine learning
topic purple soil
random forest
clustering algorithm
slope scale
soil erosion
url https://www.frontiersin.org/articles/10.3389/fenvs.2025.1580149/full
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