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Three-Dimensional Forest Growth Model Relating Tree Size, Tree Number, and Stand Age: Relation to Previous Growth Models and to Self-Thinning

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Abstract:

A generalized three-dimensional model for tree growth containing tree size, number of trees per area, and stand age on the three axes can be shown to incorporate three previous models in the theoretical absence of differentiation and self-thinning. The previous models, each incorporating two of the three axes, are: the sigmoid growth models of tree size/stand age; the relation of tree size (volume or diameter)/tree number; and the reverse-J-shaped mortality relation of maximum tree number/stand age. Information developed from one two-dimensional model can be transferred to the other models using the three-dimensional response surface to interpret the growth trajectory of stands undergoing differentiation and self-thinning. For. Sci. 34(3):662-676.

Keywords: Self-thinning; competition-density; even-aged stands; growth and yield; mortality; stand density; stand differentiation

Document Type: Journal Article

Affiliations: Professor of Silviculture, College of Forest Resources, University of Washington, Seattle, Washington 98195

Publication date: September 1, 1988

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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