The Dynamic Economic Equilibrium Model and Uncertainty Applied Study About Forest Resources Sustainable Utilization

Abstract

In this paper, we regarded the forest resources as research objects, and used the dynamic economic model about renewable resources utilization based of the Logistic model to create the forest resources dynamic economic equilibrium model with the many restriction conditions about ecological production supply, taxation, economic composition and so on. Then we used the mathematic method about normal differential equation and maximum theory to obtain the optimal forest accumulation stock quantity and the optimal harvest quantity. After, we selected the North-east of China as the case site of applied research, and used the dynamic economic equilibrium theoretical model and the data from forest resources investigation, forestry statistics yearbook and typical survey to carry the applied analysis to obtain the optimal harvest quantity dynamic function about forest resources in North-east of China. Then we used the function to obtain the development trend of the equilibrium after 2008, and the optimal harvest quantity should be 4.26 million m³.