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Singular Path Solutions and Optimal Rates for Thinning Even-Aged Forest Stands

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Optimal control singular path solutions for determining economically efficient thinning schedules have been found to have both concave and convex shapes. This study examines the characteristics of such paths and shows that the shape of the singular path does not necessarily determine whether the rate of thinning should increase or decrease with time. Empirical tests show the optimal thinning solution to be dependent on the parameters used in the growth equation, specifically the aging function used in ensuring the aging and dying processes are accurately represented in the model. Most applications have derived parameters resulting in decreasing rates of thinning and primarily convex singular paths. For. Sci. 37(6):1632-1640.

Keywords: Optimal control theory; convex vs. concave solutions; growth functions; linear variational method

Document Type: Journal Article

Affiliations: Graduate Research Assistant, Department of Forest Sciences, Colorado State University, Fort Collins, CO 80523

Publication date: December 1, 1991

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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