Abstract
Despite advances in artificial intelligence modeling, the lack of soil-erosion data and other watershed information still limits soil-erosion modeling. The limited number of parameters and a lack of evaluation criteria are major disadvantages to the use of empirical soil-erosion models. To overcome these limitations, we introduce a new approach that integrates empirical and artificial intelligence models. Erosion-prone locations that experience ≥ 16 tons/ha/year of erosion are identified using the RUSLE model. A soil-erosion map is prepared using 4 machine-learning algorithms: random forest (RF), artificial neural network (ANN), classification tree analysis (CTA), and generalized linear model (GLM). Thirteen factors (river buffer, aspect, slope, soil properties (texture, EC, depth, density, available water, hydrological groups), rainfall erosivity, land use, drainage density, and physiographic features) that influence the severity of soil erosion were compiled for the Talar watershed, Iran, for input into modeling processes in order to improve the accuracy of spatial prediction of erosion. The results reveal that the RF model has the highest prediction performance (AUC = 0.97, kappa = 0.78, accuracy = 0.93, and bias = 0.92). A soil-erosion distribution predicted by RF forecast that 53.42% of the Talar watershed had very low soil erosion risk, 12.84% had low erosion risk, 9.24% had moderate risk, 9.5% had high risk, and 14.98% had very high risk. The results indicate that slope angle, land use/land cover, elevation, and rainfall erosivity are the factors that have the greatest influence on the likelihood of soil erosion in the watershed. Curvature and topography position index (TPI) were removed from the analysis due to multicollinearity with other factors. The resulting modeling procedure can improve the identification of soil erosion hot spots, especially in watersheds lacking soil-erosion data.
Similar content being viewed by others
Data Availability
Materials Availability
Code Availability
References
Ali, G., Birkel, C., Tetzlaff, D., Soulsby, C., McDonnell, J. J., & Tarolli, P. (2014). A comparison of wetness indices for the prediction of observed connected saturated areas under contrasting conditions. Earth Surface Processes and Landforms, 39(3), 399–413.
Amine, M., Maaoui, E., Sfar, M., Rached, M., & Habib, M. (2012). Catena Sediment yield from irregularly shaped gullies located on the Fortuna lithologic formation in semi-arid area of Tunisia. CATENA, 93, 97–104.
Arekhi, S., Darvishi, A., Shabani, A., Fathizad, H., & Ahmadai Abchin, S. (2012). Mapping soil erosion and sediment yield susceptibility using RUSLE, remote sensing and GIS (case study: Cham Gardalan Watershed, Iran). Journal of Advances in Enironmental Biology, 6(1), 109–124.
Atoma, H., Suryabhagavan, K. V., & Balakrishnan, M. (2020). Soil erosion assessment using RUSLE model and GIS in Huluka watershed. Central Ethiopia. Sustainable Water Resources Management, 6(1), 1–17.
Avand, M., Moradi, H. R., & Ramazanzadeh Lasboyee, M. (2021). Spatial prediction of future flood risk: An approach to the effects of climate change. Geosciences, 11(1), 25.
Nearing, M. A., Foster, G. R., Lane, L. J., & Finkner, S. C. (1989). A process-based soil erosion model for USDA-Water Erosion Prediction Project technology. Transactions of the ASAE, 32(5), 1587–1593.
Beasley, D. B., Huggins, L. F., & Monke, A. (1980). ANSWERS: A model for watershed planning. Transactions of the ASAE, 23(4), 938–944.
Wischmeier, W. H., & Smith, D. D. (1978). Predicting rainfall erosion losses: a guide to conservation planning (No. 537). Department of Agriculture, Science and Education Administration.
Avand, M., & Moradi, H. (2021). Spatial modeling of flood probability using geo-environmental variables and machine learning models, case study: Tajan Watershed, Iran. Advances in Space Research, 67(10), 3169–3186.
Avand, M., Kuriqi, A., Khazaei, M., & Ghorbanzadeh, O. (2022). DEM resolution effects on machine learning performance for flood probability mapping. Journal of Hydro-environment Research, 40, 1–16.
Bagio, B., Bertol, I., Wolschick, N. H., Schneiders, D., & Santos, M. A. D. N. D. (2017). Water erosion in different slope lengths on bare soil. Revista Brasileira de Ciência do Solo 41.
Bouchnak, H., Felfoul, M. S., Boussema, M. R., & Snane, M. H. (2009). Slope and rainfall effects on the volume of sediment yield by gully erosion in the Souar lithologic formation (Tunisia). CATENA, 78(2), 170–177.
Breiman, L. (1996). Stacked regressions. Machine learning, 24(1), 49–64.
Breiman, L. (2001). Random forests. Machine learning, 45(1), 5–32.
Breiman, L. (2017). Classification and regression trees. United Kingdom, Routledge.
Chakrabortty, R., Pal, S. C., Sahana, M., Mondal, A., Dou, J., Pham, B. T., & Yunus, A. P. (2020). Soil erosion potential hotspot zone identification using machine learning and statistical approaches in eastern India. Natural Hazards, 104(2), 1259–1294.
Chalise, D., Kumar, L., Spalevic, V., & Skataric, G. (2019). Estimation of sediment yield and maximum outflow using the IntErO model in the Sarada River Basin of Nepal. Water (Switzerland), 11(5), 952.
Chen, W., Li, Y., Xue, W., Shahabi, H., Li, S., Hong, H., Wang, X., Bian, H., Zhang, S., Pradhan, B., & Bin Ahmad, B. (2020). Modeling flood susceptibility using data-driven approaches of naïve Bayes tree, alternating decision tree, and random forest methods. Science of the Total Environment, 701, 134979.
Clubb, F. J., Mudd, S. M., Attal, M., Milodowski, D. T., & Grieve, S. W. D. (2016). The relationship between drainage density, erosion rate, and hilltop curvature: Implications for sediment transport processes. Journal of Geophysical Research: Earth Surface, 121(10), 1724–1745.
Engineering Services Company. (2002). Comprehensive study: Talar watershed. Mazandaran.
Faulkner, H. (2013). Badlands in marl lithologies: A field guide to soil dispersion, subsurface erosion and piping-origin gullies. CATENA, 106, 42–53.
Ghorbanzadeh, O., Blaschke, T., Gholamnia, K., Meena, S. R., Tiede, D., & Aryal, J. (2019). Evaluation of different machine learning methods and deep-learning convolutional neural networks for landslide detection. Remote Sensing, 11(2), 196.
Conoscenti, C., Di Maggio, C., & Rotigliano, E. (2008). Soil erosion susceptibility assessment and validation using a geostatistical multivariate approach: a test in Southern Sicily. Natural Hazards, 46(3), 287–305.
Sun, W., Shao, Q., Liu, J., & Zhai, J. (2014). Assessing the effects of land use and topography on soil erosion on the Loess Plateau in China. Catena, 121, 151–163.
Gourfi, A., Daoudi, L., & Shi, Z. (2018). The assessment of soil erosion risk, sediment yield and their controlling factors on a large scale: Example of Morocco. Journal of African Earth Sciences, 147, 281–299.
Ghorbanzadeh, O., Crivellari, A., Ghamisi, P., Shahabi, H., & Blaschke, T. (2021). A comprehensive transferability evaluation of U-Net and ResU-Net for landslide detection from Sentinel-2 data (case study areas from Taiwan, China, and Japan). Scientific Reports, 11(1), 1–20.
Hickey, R. (2000). Slope angle and slope length solutions for GIS. Cartography, 29(1), 1–8.
Hosseinalizadeh, M., Kariminejad, N., Chen, W., Pourghasemi, H. R., Alinejad, M., Mohammadian Behbahani, A., & Tiefenbacher, J. P. (2019). Spatial modelling of gully headcuts using UAV data and four best-first decision classifier ensembles (BFTree, Bag-BFTree, RS-BFTree, and RF-BFTree). Geomorphology, 329, 184–193.
Immitzer, M., Atzberger, C., & Koukal, T. (2012). Tree species classification with random forest using very high spatial resolution 8-band world View-2 satellite data. Remote Sensing, 4(9), 2661–2693.
Isazadeh, M., Biazar, S. M., & Ashrafzadeh, A. (2017). Support vector machines and feed-forward neural networks for spatial modeling of groundwater qualitative parameters. Environmental Earth Sciences, 76(17), 1–14.
De Jong, S. M. (1994). Application of reflective remote sensing for land degradation studies in a mediterranean environment (Utrecht: Netherlands Geographical Studies, University of Utrecht).
Karamidehkordi, E. (2010). A country report: Challenges facing Iranian agriculture and natural resource management in the twenty-first century. Human Ecology, 38(2), 295–303.
Kavian, A., Fathollah Nejad, Y., Habibnejad, M., & Soleimani, K. (2011). Modeling seasonal rainfall erosivity on a regional scale: A case study from Northeastern Iran. International Journal of Environmental Research, 5(4), 939–950.
Koirala, P., Thakuri, S., Joshi, S., & Chauhan, R. (2019). Estimation of soil erosion in Nepal using a RUSLE modeling and geospatial tool, 9(4), 147.
Lei, X., Chen, W., Avand, M., Janizadeh, S., Kariminejad, N., Shahabi, H., Costache, R., Shahabi, H., Shirzadi, A., & Mosavi, A. (2020). GIS-based machine learning algorithms for gully erosion susceptibility mapping in a semi-arid region of Iran. Remote Sensing, 12(15), 2478.
Lin, C.-Y., Lin, W.-T., & Chou, W.-C. (2002). Soil erosion prediction and sediment yield estimation: The Taiwan experience. Soil and Tillage Research, 68(2), 143–152.
Mirchooli, F., Motevalli, A., Pourghasemi, H. R., Mohammadi, M., Bhattacharya, P., Maghsood, F. F., & Tiefenbacher, J. P. (2019). How do data-mining models consider arsenic contamination in sediments and variables importance? Environmental Monitoring and Assessment, 191(12), 1–19.
Mohammadi, M., Darabi, H., Mirchooli, F., Bakhshaee, A., & Haghighi, A. T. (2020). Flood risk mapping and crop-water loss modeling using water footprint analysis in agricultural watershed, northern Iran. Natural Hazards, 105(2), 2007–2025.
Mohammadi, M., Fallah, M., Kavian, A., Gholami, L., & Omidvar, E. (2017). The application of RUSLE model in spatial distributiondetermination of soil loss hazard, 3(4), 645–658.
Mohammed, S., Alsafadi, K., Talukdar, S., Kiwan, S., Hennawi, S., Alshihabi, O., Sharaf, M., & Harsanyie, E. (2020). Estimation of soil erosion risk in southern part of Syria by using RUSLE integrating geo informatics approach. Remote Sensing Applications: Society and Environment, 20(July), 100375.
Moradi, H. R., Avand, M. T. & Janizadeh, S. (2019). Landslide susceptibility survey using modeling methods. In Elsevier, 259–276.
Mosavi, A., Sajedi-Hosseini, F., Choubin, B., Taromideh, F., Rahi, G., & Dineva, A. A. (2020). Susceptibility mapping of soil water erosion using machine learning models. Water, 12(7).
Mousavi, S. M., Golkarian, A., Naghibi, S. A., Kalantar, B., & Pradhan, B. (2017). GIS-based groundwater spring potential mapping using data mining boosted regression tree and probabilistic frequency ratio models in Iran. AIMS Geosciences, 3(1), 91–115.
Mukherjee, S., Joshi, P. K., Mukherjee, S., Ghosh, A., Garg, R. D., & Mukhopadhyay, A. (2013). Evaluation of vertical accuracy of open source digital elevation model (DEM). International Journal of Applied Earth Observation and Geoinformation, 21, 205–217.
Nyesheja, E. M., Chen, X., El-Tantawi, A. M., Karamage, F., Mupenzi, C., & Nsengiyumva, J. B. (2019). Soil erosion assessment using RUSLE model in the Congo Nile Ridge region of Rwanda. Physical Geography, 40(4), 339–360.
Park, S., Choi, C., Kim, B., & Kim, J. (2013). Landslide susceptibility mapping using frequency ratio, analytic hierarchy process, logistic regression, and artificial neural network methods at the Inje area. Korea. Environmental Earth Sciences, 68(5), 1443–1464.
Pham, B. T., Van Phong, T., Avand, M., Al-Ansari, N., Singh, S. K., Van Le, H., & Prakash, I. (2020). Improving voting feature intervals for spatial prediction of landslides. Mathematical Problems in Engineering, 2020.
Pham, T. G., Degener, J., & Kappas, M. (2018). Integrated universal soil loss equation (USLE) and geographical information system (GIS) for soil erosion estimation in A Sap basin: Central Vietnam. International Soil and Water Conservation Research, 6(2), 99–110.
Phinzi, K., Ngetar, N. S., & Ebhuoma, O. (2020). Soil erosion risk assessment in the Umzintlava catchment (T32E), Eastern Cape, South Africa, using RUSLE and random forest algorithm. South African Geographical Journal, 103(2), 139–162.
Pourghasemi, H. R., Jirandeh, A. G., Pradhan, B., Xu, C., & Gokceoglu, C. (2013). Landslide susceptibility mapping using support vector machine and GIS at the Golestan Province, The Iranian Journal of Earth Sciences. Indian Academy of Sciences, 122(2):349–369.
Pourghasemi, H. R., Moradi, H. R., Fatemi Aghda, S. M., Gokceoglu, C., & Pradhan, B. (2014). GIS-based landslide susceptibility mapping with probabilistic likelihood ratio and spatial multi-criteria evaluation models (North of Tehran, Iran). Arabian Journal of Geosciences, 7(5), 1857–1878.
Pournader, M., Ahmadi, H., Feiznia, S., Karimi, H., & Peirovan, H. R. (2018). Spatial prediction of soil erosion susceptibility: An evaluation of the maximum entropy model. Earth Science Informatics, 11(3), 389–401.
Pradhan, B., Chaudhari, A., Adinarayana, J., & Buchroithner, M. F. (2012). Soil erosion assessment and its correlation with landslide events using remote sensing data and GIS: A case study at Penang Island. Malaysia. Environmental Monitoring and Assessment, 184(2), 715–727.
Rahmati, O., Avand, M., Yarian, P., Tiefenbacher, J. P., Azareh, A., & Bui, D. T. (2020). Assessment of gini, entropy, and ratio based classification trees for groundwater potential modeling and prediction. Geocarto International, 37(12), 3397–3415.
Rahmati, O., Haghizadeh, A., Pourghasemi, H. R., & Noormohamadi, F. (2016). Gully erosion susceptibility mapping: The role of GIS-based bivariate statistical models and their comparison. Natural Hazards, 82(2), 1231–1258.
Van Remortel, R. D., Maichle, R. W., & Hickey, R. J. (2004). Computing the LS factor for the revised universal soil loss equation through array-based slope processing of digital elevation data using a C++ executable. Computers & Geosciences, 30(9–10), 1043–1053.
Renard, K. G., Foster, G. R., Weesies, G. A., & Porter, J. P. (1991). RUSLE: Revised universal soil loss equation. Journal of soil and Water Conservation, 46(1), 30–33.
Renard, K. G., & Freimund, J. R. (1994). Using monthly precipitation data to estimate the R-factor in the revised USLE. Journal of Hydrology, 157(1–4), 287–306.
Ruysschaert, G., Poesen, J., Verstraeten, G., & Govers, G. (2007). Soil loss due to harvesting of various crop types in contrasting agro-ecological environments. Agriculture, ecosystems & environment, 120, 153–165.
Atkinson, P., Jiskoot, H., Massari, R., & Murray, T. (1998). Generalized linear modelling in geomorphology. Earth Surface Processes and Landforms: The Journal of the British Geomorphological Group, 23(13), 1185–1195.
Sadeghi, S. H., Zabihi, M., Vafakhah, M., & Hazbavi, Z. (2017). Spatiotemporal mapping of rainfall erosivity index for different return periods in Iran. Natural Hazards, 87(1), 35–56.
Saha, S., Gayen, A., Pourghasemi, H. R., & Tiefenbacher, J. P. (2019). Identification of soil erosion-susceptible areas using fuzzy logic and analytical hierarchy process modeling in an agricultural watershed of Burdwan district. India. Environmental Earth Sciences, 78(23), 1–18.
Samanta, R. K., Bhunia, G. S., & P. K. shit. (2016). Spatial modelling of soil erosion susceptibility mapping in lower basin of Subarnarekha river (India) based on geospatial techniques. Modeling Earth Systems and Environment, 2(2), 1–13.
Shahabi, H., Jarihani, B., Piralilou, S. T., Chittleborough, D., Avand, M., & Ghorbanzadeh, O. (2019). A semi-automated object-based gully networks detection using different machine learning models: A case study of bowen catchment, Queensland. Australia. Sensors (Switzerland), 19(22), 4893.
Sharma, A., Tiwari, K. N., & Bhadoria, P. B. S. (2011). Effect of land use land cover change on soil erosion potential in an agricultural watershed, 173(1), 789–801.
Tadesse, L., Suryabhagavan, K. V., Sridhar, G., & Legesse, G. (2017). Land use and land cover changes and soil erosion in Yezat Watershed, North Western Ethiopia. International soil and water conservation research, 5(2), 85–94.
Tadesse, T. B., & Tefera, S. A. (2020). Comparing potential risk of soil erosion using RUSLE and MCDA techniques in Central Ethiopia. Modeling Earth Systems and Environment, 7(3), 1713–1725.
Tang, B., Jiao, J., Zhang, Y., Chen, Y., Wang, N., & Bai, L. (2020). The magnitude of soil erosion on hillslopes with different land use patterns under an extreme rainstorm on the Northern Loess Plateau. China. Soil and Tillage Research, 204, 104716.
Tang, Q., Xu, Y., & Bennett, S. J. (2015). Assessment of soil erosion using RUSLE and GIS : A case study of the Yangou watershed in the Loess Plateau. China. Environmental Earth Sciences, 73, 1715–1724.
Tavakkoli Piralilou, S., Einali, G., Ghorbanzadeh, O., Nachappa, T. G., Gholamnia, K., Blaschke, T., & Ghamisi, P. (2022). A Google Earth Engine approach for wildfire susceptibility prediction fusion with remote sensing data of different spatial resolutions. Remote Sensing, 14(3), 672.
Towfiqul Islam, A. R. M., Talukdar, S., Mahato, S., Kundu, S., Eibek, K. U., Pham, Q. B., Kuriqi, A., & Linh, N. T. T. (2020). Flood susceptibility modelling using advanced ensemble machine learning models. Geoscience Frontiers, 12(3), 101075.
Troeh, F. R., Hobbs, J. A., & Donahue, R. L. (1980). Soil and water conservation for productivity and environmental protection. Prentice-Hall, Inc.
Vaezi, A. R., Bahrami, H. A., Sadeghi, S. H. R., & Mahdian, M. H. (2008). Evaluating erosivity indices of the USLE, MUSLE, RUSLE and USLE-M models in soils of a semi-arid region in northwest of Iran. 25–37.
Silva, R., Baptista, P., Veloso-Gomes, F., Coelho, C., & Taveira-Pinto, F. (2009). Sediment grain size variation on a coastal stretch facing the North Atlantic (NW Portugal). Journal of coastal research, 762–766.
Vaezi, A. R., & Sadeghi, S. H. R. (2011). Evaluating the RUSLE model and developing an empirical equation for estimating soil erodibility factor in a semi-arid region. Spanish Journal of Agricultural Research, 3, 912–923.
Vahidnia, M. H., Alesheikh, A. A., Alimohammadi, A., & Hosseinali, F. (2010). A GIS-based neuro-fuzzy procedure for integrating knowledge and data in landslide susceptibility mapping. Computers and Geosciences, 36(9), 1101–1114.
Vanacker, V., Ameijeiras-mariño, Y., Schoonejans, J., Cornélis, J., Minella, J. P. G., Lamouline, F., Vermeire, M., Campforts, B., Robinet, J., Van De Broek, M., Delmelle, P., & Opfergelt, S. (2019). Land use impacts on soil erosion and rejuvenation in Southern Brazil. CATENA, 178(March), 256–266.
Wang, D., Fu, B., Zhao, W., Hu, H., & Wang, Y. (2008). Multifractal characteristics of soil particle size distribution under different land-use types on the Loess Plateau. China, 72, 29–36.
Wang, G., Wente, S., Gertner, G. Z., & Anderson, A. (2002). Improvement in mapping vegetation cover factor for the universal soil loss equation by geostatistical methods with Landsat Thematic Mapper images. International Journal of Remote Sensing, 23(18), 3649–3667.
Wischmeier, W. H. (1976). Use and misuse of the universal soil loss equation. Journal of soil and water conservation, 31(1), 5–9.
Wulf, H., Bookhagen, B., & Scherler, D. (2010). Seasonal precipitation gradients and their impact on fluvial sediment flux in the Northwest Himalaya. Geomorphology, 118(1–2), 13–21.
Yousefi, S., Avand, M., Yariyan, P., Pourghasemi, H. R., Keesstra, S., Tavangar, S., & Tabibian, S. (2020). A novel GIS-based ensemble technique for rangeland downward trend mapping as an ecological indicator change. Ecological Indicators, 117, 106591.
Author information
Authors and Affiliations
Contributions
All authors contributed to the study’s conception and design. Material preparation, data collection, and analysis were performed by [M. Avand], [M. Mohammadi], and [F. Mirchouli]. The first draft of the manuscript was written by [M. Avand] and [M. Mohammadi]. The review and editing of the article were done by [Kavian] and [Tiefenbacher]. All authors commented on previous versions of the manuscript. All authors read and approved the final manuscript.
Corresponding author
Ethics declarations
Ethics Approval
Not applicable.
Consent to Participate
Not applicable.
Consent for Publication
Not applicable.
Conflict of Interest
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
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Avand, M., Mohammadi, M., Mirchooli, F. et al. A New Approach for Smart Soil Erosion Modeling: Integration of Empirical and Machine-Learning Models. Environ Model Assess 28, 145–160 (2023). https://doi.org/10.1007/s10666-022-09858-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10666-022-09858-x