Abstract
Rainfall events of sufficient intensity can trigger soil erosion on loess hillslopes. Determining the actual threshold of erosive rainfall events is essential for reducing the workload of soil erosion forecasting and for providing scientific guidance for soil erosion prevention. Based on long-term field observations from runoff plots in representative regions of the Loess Plateau, including Suide, Xifeng, and Tianshui, this study applied an improved regression analysis method to identify rainfall thresholds for soil erosion under different erosion intensities. The variation of rainfall thresholds with rainfall intensity was further examined, and a nonlinear regression approach was used to develop predictive models of rainfall thresholds for soil erosion under different land cover conditions. Rainfall thresholds for slope soil erosion under different land cover types decrease exponentially with increasing rainfall intensity. Influenced by soil texture, rainfall thresholds for soil erosion on woodland, grassland, and bare slopes declined as soil texture became finer, while the rate of decline slowed with increasing rainfall intensity. Soil texture, land cover type, and rainfall characteristics exert significant influences on the effectiveness of vegetation in controlling runoff and soil erosion. These findings provide valuable insights into soil erosion prediction and serve as a reference for soil and water conservation planning.
Data availability
Data available on request due to privacy: the data presented in this study are available on request from the corresponding author.
References
Omidvar, E., Hajizadeh, Z. & Ghasemieh, H. Sediment yield, runoff and hydraulic characteristics in straw and rock fragment covers. Soil Tillage. Res. 194, 104324 (2019).
Wei, L. et al. Reveal of contributing rainfalls to annual soil erosion and the response of runoff sediment output: A case of zonal yellow soil area. J. Hydrol. 652, 132666 (2025).
Yu, Y., Zhao, W., Martinez-Murillo, J. F. & Pereira, P. Loess plateau: from degradation to restoration. Sci. Total Environ. 738, 140206 (2020).
Wang, W. Study on the relations between rainfall characte-ristics and loss of soil in loess region. Bull. Soil Water Conserv. 02, 58–63 (1984).
Raj, R., Saharia, M., Chakma, S. & Rafieinasab, A. Mapping rainfall erosivity over India using multiple precipitation datasets. Catena 214, 106256 (2022).
Zhang, J. et al. Evaluating the hydrological function of vegetation restoration in fragile karst area: insights from the continuous surface and subsurface runoff monitoring. Soil Tillage. Res. 234, 105847 (2023).
Renard, K. G., Foster, G. R., Weesies, G. A. & Porter, J. P. Revised universal soil loss equation (Rusle). J. Soil Water Conserv. 46 (1), 30–33 (1991).
Liao, J. et al. RUSLE tends to overestimate soil erosion in revegetated conditions: evidence from long-term runoff plots monitoring on china’s loess plateau. Catena 258, 109285 (2025).
Panagos, P. et al. Rainfall erosivity in Europe. Sci. Total Environ. 511, 801–814 (2015).
Takhellambam, B. S. et al. Projected mid-century rainfall erosivity under climate change over the southeastern United States. Sci. Total Environ. 865, 161119 (2023).
Deng, O., Li, M., Yang, B., Yang, G. & Li, Y. Erosive rainfall thresholds identification using statistical approaches in a karst yellow soil mountain Erosion-Prone region in Southwest China. Agriculture 14 (8), 1421 (2024).
Jiao, X. et al. Preliminary research on the threshold of erosive rainfall on karst slopes. J. Soil Water Conserv. 37 (05), 57–63 (2023).
Todisco, F., Vergni, L., Vinci, A. & Pampalone, V. Practical thresholds to distinguish erosive and Rill rainfall events. J. Hydrol. 579, 124173 (2019).
Wischmeier, W. H. & Smith, D. D. Predicting Rainfall Erosion Losses: a Guide To Conservation Planning (Department of Agriculture, Science and Education Administration, 1978).
Wang, W. & Jiao, J. Qutantitative evaluation on factors influencing soil erosion in China. Bull. Soil Water Conserv. 05, 1–20 (1996).
Ma, L., Zuo, C. & Qiu, G. Erosive rainfall characteristics on red soil slope land in Northern Jiangxi Province. Bull. Soil Water Conserv. 30 (01), 74–79 (2010).
Li, L., Wang, Z. & Jiao, J. Erosive rainfall and rainfall erosivity in purple hilly area. Sci. Soil. Water Conserv. 11 (01), 8–16 (2013).
Jiang, Z. & Li, X. Study on the rainfall erosivity and the topographicfactor of predicting soil loss equation in theloess plateau. Res. Soil. Water Conserv. 01, 40–45 (1988).
Yang, Z. S. Study on soil loss equation of cultivated slopeland in Northeast mountain region of Yunnan Province. Bull. Soil Water Conserv. 19 (1), 1–9 (1999).
Xie, Y., Liu, B. & Nearing, M. A. Practical thresholds for separating erosive and non–erosive storms. Trans. ASAE. 45 (6), 1843 (2002).
Jin, J., Xie, Y. & Zhang, K. A study on erosive rainfall standards based on different sample sizes. Bull. Soil Water Conserv. 02, 31–33 (2001).
Liu, H., Yuan, A. & Lu, B. Study on erosive ranifall standard of Beijing. Res. Soil. Water Conserv. 01, 215–217 (2007).
Xia, L., Song, X., Fu, N., Li, H. & Li, Y. Threshold standard of erosive rainfall under different underlying surface conditions in the loess plateau gully region of East Gansu, China. Adv. Water Sci. 29 (6), 828–838 (2018).
Zhang, W. Y., Wang, B. T., Yang, G. X. & Zhang, K. Erosive rainfall and characteristics analysis of sediment yield on yellow soil area in karst mountainous. Ecol. Environ. Sci. 23 (11), 1776–1782 (2014).
Li, X., Kong, J. & Gao, Q. Experimental study on threshold rainfall determination for artificial Rainwater-Harvesting catchments. Adv. Water Sci. 04, 516–522 (2001).
Huang, J., Wu, P. & Zhao, X. Experimental study on the nonlinear multi-parameter rainfall-runoff threshold model. J. Beijing For. Univ. 33 (1), 84–89 (2011).
Zhang, Z. et al. Variations in erosive rainfall threshold and sediment production between karst and non-karst slopes. Catena 251, 108820 (2025).
Wang, Y., Yang, Y., Liu, B. Y. & Liu, Y. N. Erosive rainfall thresholds for five typical soils in water erosion region of China. Bull. Soil. Water Conserv. 42, 227–233 (2022).
Liu, J., Liang, Y., Gao, G., Dunkerley, D. & Fu, B. Quantifying the effects of rainfall intensity fluctuation on runoff and soil loss: from indicators to models. J. Hydrol. 607, 127494 (2022).
Yan, Y. et al. Effects of rainfall intensity on runoff and sediment yields on bare slopes in a karst area. SW China Geoderma. 330, 30–40 (2018).
Chen, Y. et al. Balancing green and grain trade. Nat. Geosci. 8 (10), 739–741 (2015).
Wang, S. et al. Reduced sediment transport in the yellow river due to anthropogenic changes. Nat. Geosci. 9, 38–41 (2016).
Németová, Z., Kohnová, S. & Sabová, Z. Determining the dependence of a landscape’s ecological stability and the intensity of erosion during 1990–2018. Water. 16 (3), 378 (2024).
Ministry of Water Resources of the People’s Republic of China. Standards for Classification and Gradation of Soil Erosion (SL190-2007) (China Water and Power, 2008).
Li, Y., Han, R. & Wang, Z. Soil water properties and its zonation in the loess plateau. Res. Soil. Water Conserv. 1985 (02), 1–17 (1985).
Zhao, C., Shao, M. A., Jia, X. & Zhang, C. Particle size distribution of soils (0–500 cm) in the loess Plateau, China. Geoderma Reg. 7 (3), 251–258 (2016).
Diskin, M. H. Definition and uses of the linear regression model. Water Resour. Res. 6 (6), 1668–1673 (1970).
Fink, D. H. & Frasier, G. W. Evaluating weathering characteristics of water-harvesting catchments from rainfall‐runoff analyses. Soil Sci. Soc. Am. J. 41 (3), 618–622 (1977).
Fink, D. H., Frasier, G. W. & Myers, L. E., Water harvesting treatment evaluation at granite reef 1. JAWRA J. Am. Water Resour. Assoc. 15(3), 861–873 (1979).
Huang, J. et al. Characteristics of slope runoff and sediment yield under individual rainfall events in Southern red soil region. Sci. Soil. Water Conserv. 14 (02), 23–30 (2016).
Liu, H. et al. Spatial patterns of soil carbon and nutrient distribution during vegetation restoration in red soil regions. Plant. Soil. 1–22 (2025).
Tang, Y. et al. Vertically oriented roots affect soil water infiltration by decomposition and altering soil structure: an examination based on CT technology and innovation in soil infiltration research methods. Plant. Soil. 1–17 (2025).
Chen, Z. et al. Utilizing an 11-year runoff plot dataset to evaluate the regulation of six land management practices on runoff and sediment on Mollisols slopes and the applicability of the WEPP model. Soil Tillage. Res. 252, 106601 (2025).
Lev-Yadun, S., Katzir, G. & Neeman, G. Rheum palaestinum (desert rhubarb), a self-irrigating desert plant. Naturwissenschaften 96 (3), 393–397 (2009).
Lann, T. et al. Hydro-mechanical effects of vegetation on slope stability: A review. Sci. Total Environ. 926, 171691 (2024).
Moore, E. B. et al. Connections between roots and soil health across agriculture management practices. Plant Soil. (2025).
Modeste, M., Abdellatif, K., Nadia, M. & Mohamed, S. Effects of land use and cover type on the risks of runoff and water erosion: infiltration tests in the Ourika watershed (High Atlas, Morocco). Euro-Mediterranean J. Environ. Integr. 3 (1), 8 (2018).
Zhou, P. & Wang, Z. A study on rainstorm causing soil erosion in the loess plateau. J. Soil Water Conserv. 03, 1–5 (1992).
Smerdon, E. T. & Beasley, R. P. Critical tractive forces in cohesive soils. Agric. Eng. 42 (1), 26–29 (1961).
de Almeida, W. S., Seitz, S., de Oliveira, L. F. C. & de Carvalho, D. F. Duration and intensity of rainfall events with the same erosivity change sediment yield and runoff rates. Int. Soil. Water Conserv. Res. 9 (1), 69–75 (2021).
Zhang, X. K., Xu, J. H., Lu, X. Q., Deng, Y. J. & Gao, D. W. A study on the soil loss equation in Heilongjiang Province. Bull. Soil Water Conserv. 12 (4), 1–9 (1992).
Tian, X. et al. Study on daily erosive rainfall standard in the Poyang lake basin. J. Soil Water Conserv. 35 (03), 185–189 (2021).
Nortcliff, S., Ross, S. M. & Thornes, J. B. Soil moisture, runoff and sediment yield from differentially cleared tropical rainforest plots. (1990).
Scipal, K., Scheffler, C. & Wagner, W. Soil moisture-runoff relation at the catchment scale as observed with coarse resolution microwave remote sensing. Hydrol. Earth Syst. Sci. 9 (3), 173–183 (2005).
Zhou, J. et al. Effects of precipitation and restoration vegetation on soil erosion in a semi-arid environment in the loess Plateau, China. Catena 137, 1–11 (2016).
Li, X. Y. et al. Controls of infiltration–runoff processes in mediterranean karst rangelands in SE Spain. Catena 86 (2), 98–109 (2011).
Acknowledgements
We would like to express our respect and gratitude to the anonymous reviewers and editors for their professional comments and suggestions.
Funding
The Natural Science Foundation of Henan Province (252300420859); Key Technology Research Project of Water Conservancy Science and Technology of Henan Provincial Water Resources Department(GG202516); National Natural Science Foundation of China (U214320029).
Author information
Authors and Affiliations
Contributions
Overall design, Z.H. and S.H.; methodology, G.Y. and S.H.; software, Z.L. and R.W.; formal analysis, D.Q., P.X. and H.T.; data curation, H.D. and Y.G.; writing—original draft preparation, G.Y.; writing—review and editing, Z.H. and L.Z. All authors have read and agreed to the published version of the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.
Reprints and permissions
About this article
Cite this article
He, Z., Yuan, G., Liu, Z. et al. Response of erosive rainfall thresholds on Loess slopes to land cover and rainfall intensity.
Sci Rep (2026). https://doi.org/10.1038/s41598-026-38479-7
Received:
Accepted:
Published:
DOI: https://doi.org/10.1038/s41598-026-38479-7
Keywords
- Soil erosion
- Rainfall threshold model
- Slope
- Sub-rainfall event
- Land cover type
Source: Ecology - nature.com
