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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: 1980-06-01

More about this publication?
  • Forest Science is a peer-reviewed journal publishing fundamental and applied research that explores all aspects of natural and social sciences as they apply to the function and management of the forested ecosystems of the world. Topics include silviculture, forest management, biometrics, economics, entomology & pathology, fire & fuels management, forest ecology, genetics & tree improvement, geospatial technologies, harvesting & utilization, landscape ecology, operations research, forest policy, physiology, recreation, social sciences, soils & hydrology, and wildlife management.
    Forest Science is published bimonthly in February, April, June, August, October, and December.

    2015 Impact Factor: 1.702
    Ranking: 16 of 66 in forestry

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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