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Two Methods for Solving Stand Management Problems Based on a Single Tree Model

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Two methods are presented for solving the stand management problem where the growth dynamics are depicted with a single tree model. With the nongradient method the problem is recast into a combinatorial problem, which in turn is solved with the method of simulated annealing. The gradient method, of which three versions are given, utilizes a combination of nonlinear and mixed integer techniques for solving the problem. In both cases, a linear programming problem solves the single tree harvest selection problem. In tests with nine sample problems, all methods are within 1% of the best solution found. The computational effort of the nongradient method is about one order of magnitude greater than that of the gradient methods. The results indicate the advantage of being able to divide the problem into a suitable hierarchy, since management problems based on single tree models are often too complex to be solved in one step. At each level an appropriate technique can then be applied. For. Sci. 40(4):732-758.

Keywords: Frank-Wolfe method; Optimization; branch and bound; even-aged management; fixed entry costs; thinning

Document Type: Journal Article

Affiliations: Researcher, Swedish University of Agricultural Sciences, Department of Forest-Industry-Market Studies, Box 7054, S-750 07 Uppsala, Sweden

Publication date: November 1, 1994

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.

    Also published by SAF:
    Journal of Forestry
    Other SAF Publications
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