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A Nonlinear Programming Approach to Stand Optimization

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The stand management decision problem is formulated as a constrained nonlinear program. Constraints inherent to the production system are part of the production function and can be incorporated into the objective function. If there are no constraints from external sources the problem is an unconstrained nonlinear program. Three nonlinear programming (NP) techniques and discrete dynamic programming (DP) are compared for their relative efficiency in solving an example problem. The three NP techniques are the simplex method of Nelder and Mead, Hook and Jeeves' method, and Powell's method. Hook and Jeeves' and Powell's method are computationally more efficient techniques. Discrete DP optima did not compare favorably with NP optima. Forest Sci. 32:735-748.

Keywords: Optimal control; decision making; derivative free; dynamic programming; forest economics

Document Type: Journal Article

Affiliations: Assistant Professor, Department of Forestry, North Carolina State University, Box 8002, Raleigh, NC 27689

Publication date: 1986-09-01

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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