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Individual Tree Growth Derived from Diameter Distribution Models

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Several probability density functions for statistical distributions have been used to model the distribution of tree diameters. By considering transformations of variables which preserve the functional form of the distribution, tree diameter growth models are derived. If X is the tree's diameter at the beginning of a growth period and I is the increment in diameter, then the model I = (0 - X) + 1(X - 3)2 is implied by assuming the Weibull, lognormal, or generalized gamma distribution as a diameter distribution model. A special case (2 = 1) derived by Meyer (1952) applies when the exponential, normal, beta, or Johnson's SB is assumed. Biologically the equation can be shown to state that when 2 = 1 the relative rate of diameter growth is constant over age. With individual tree data from a spacing study of loblolly pine, 2 = 1 was rejected. These results provide a link between tree-level growth, models and stand-level diameter distribution models. Forest Sci. 26:626-632.

Keywords: Pinus taeda; growth and yield; probability density function; stand simulation

Document Type: Journal Article

Affiliations: Associate Professor, School of Forest Resources, The University of Georgia, Athens, GA 30602

Publication date: 1980-12-01

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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