Abstract

The forests represent an important type of renewable resource and its optimal management has become a important present problem. The thinning is a process that simply reduces the volume of standing timber. Besides the wood obtaining by means of the operation, the thinning process improves the index of growth and the quality of the forest. In this paper, we study a bioeconomic model, where the control is the thinning variation rate, rather than the thinning in the classical model. This consideration leads to a nonlinear problem of optimal control. We also obtain the optimal strategy of the model.