Dynamic economic model of forest resource management under constraint conditions

In this paper,in order to discuss the sustainable exploitation problem of forest resource on the premise of providing ecological production to the society, the dynamic economic model of sustainable exploitation of forest resource is built up on the basis of the maximal sustainable utilization principle for the exploitation and utilization of ordinary biology resources,and the optimal resource retainable yield and optimal exploitation strategy are calculated by the mathematical methods such as normal differential function,variational method,maximum principles and so on.Then,by introducing the concept of minimal forest resource retainable yield needed for providing ecological production,the dynamic economic model on this restriction condition is discussed,and the optimal resource retainable yield,the optimal exploitation strategy and the optimal devoted labor quantity of this model are solved.By comparing the difference of maximum harvest yield between the conditions of whether the restriction condition is introduced or not,the direct economic loss of the forest resource operators for the reason of providing ecology production to the society is calculated.At last,some impact factors on the build of this model are explained such as the distributing of forest resource,the price of forest products,social discount rate etc.