Higher-dimension Exponent Nonlinear Model of Soil Erosion and Its Parameter Identification

Based on development of grey separate-sequence and higher-step dynamic model, multi-variable and higher-dimension exponential nonlinear model was established, and the methods of searching-identifying nonlinear parameters was developed aimed at limiting applicability and low simulated precision of general statistical models of soil erosion. The model's strongpoint is its great information content, strong openness of its structure, wide applicability, and so on. Searching-identifying parameters are easy to operate. Observation values were applied on the model. The results showed that multiple correlated coefficient R2 is greater than 0.96, and mean error rate δ is less than 15. The simulated optimization and simulated precision advance significantly. Natural resources, environment, tech-engineering, and social economy have plentiful phenomena of higher-dimension, nonlinear, non-normal process, and problems of forecast and regulation. In these fields or similar fields, the model has diffuse applicability and good application prospects in future.