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Derivation of Optimal Stand Density Over Time--A Discrete Stage, Continuous State Dynamic Programming Solution

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A set of optimal stand densities over one rotation of an even-aged stand is derived mathematically using a discrete time, continuous state dynamic programming model. The use of the calculus approach to search for optimal solutions stage by stage is new for forestry. The criterion for optimization used is the maximum physical harvest over one rotation. When the stand growth model has the biologically reasonable form suggested here, it is easy to determine the optimal stand density over any number of growth periods. This, in turn, makes it easy to determine the optimal rotation age by sensitivity analysis of total return on the number of stages in the decision process. Forest Sci. 26:217-227.

Keywords: Sensitivity analysis; optimal rotation; recurrence equation indexing

Document Type: Journal Article

Affiliations: Research Forester, North Central Forest Experiment Station, U.S. Forest Service

Publication date: June 1, 1980

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