The objective of this work was to determine the economic rotations for a forest stand taking into considereation only one harvest, infinite harvests and a regulated forest using mathematical models, as well as comparing them through the marginal analysis of optimality conditions. To validate the model and to verify the magnitude of the effect a study case of a forest project, with real values of production, costs, revenues and discounting rate, was used. The results indicated that the models were efficient to determine the economic rotation and that the rotation of the stand for one cut, infinite cuts and for the regulated forest were respectively 6.5, 5.5 and 5 years. The Soil Expectation Value (SEV) for the regulated forest was smaller than the SEV of the stand due toimposed regulations on the forest management.
Forest economics; rotation age; differential equations
