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A Variational Solution Technique for Determining Optimal Thinning and Rotational Schedules

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An optimal control modeling approach is utilized to formulate a timber harvest scheduling problem for even-aged stands. The harvest problem involves simultaneously determining the optimal thinning and rotation schedule. The criterion of optimality utilized is the maximization of present net value over an infinite series of rotations. Under appropriate assumptions, a variational solution technique is employed to develop an explicit optimal solution to this problem. An example is developed to test the validity of the form of the optimal solution, to illustrate the formulation and to show numerical results. Forest Sci. 30:793-802.

Keywords: Euler equation; Faustmann formula

Document Type: Journal Article

Affiliations: Forester, Systems Application Unit for Land Management Planning, USDA Forest Service, Ft. Collins, CO.

Publication date: 1984-09-01

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

    Average time from submission to first decision: 62.5 days*
    June 1, 2016 to Feb. 28, 2017

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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