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数学模型可用来模拟受天气及土壤─植物─水相互作用而影响的土壤侵蚀。土壤侵蚀模型，包括环境政策整体气候模型（ＥＰＩＣ）（以前称侵蚀─生产力作用计算式模型）；水蚀预测模型（ＷＥＰＰ），风蚀预测系统模型（ＷＥＰＳ）。ＣＩＧＥＮ（气候发生器）模型也作了介绍，该模型现已改进用以模拟变化的气候。１９９２年思托克等人已对ＥＰＩＣ模型作了修改，以模拟Ｃ０２的变化对植物生长及水分利用效率的影响。最近思托克关系已被引入ＷＥＰＰ模型及流域等级模型ＳＷＡＴ（水土资源评估工具）。
Mathematical models can be used to simulate soil erosion affected by weather and soil-plant-water interactions. Soil erosion models, including the Environmental Policy Integrated Climate Model (EPIC) (formerly Erosion-Productivity Function Model); Water Erosion Prediction Model (WEPP) and Wind Erosion Prediction System Model (WEPS). The CIGEN (Climate Generator) model has also been introduced, and the model has been improved to simulate changing climate. In 1992, Stork et al. Have modified the EPIC model to simulate the effects of C02 changes on plant growth and water use efficiency. The most recent Stoke relationship has been introduced into the WEPP model and watershed-level model SWAT (Soil and Water Assessment Tools).