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Modeling the Joint Distribution of Tree Diameters and Heights by Bivariate Generalized Beta Distribution

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Abstract:

A bivariate generalized beta distribution (GBD-2) is fit to the joint frequency distribution of tree diameters and heights of 43 Douglas-fir (Pseudotsuga menziesii var. glauca [Beissn.] Franco) plots in Idaho. The model fitting and performance are compared with the Johnson's SBB distribution using goodness-of-fit χ2 tests for the marginal distributions of diameters and heights, a bivariate goodness-of-fit test for the joint distribution of the two variables, and model predictions of tree heights and volumes. We found that the GBD-2 is more flexible and successful than the Johnson's SBB in describing both marginal and joint distributions of tree diameters and heights. On average, the relative bias (%) from the GBD-2 is three times smaller than that from the Johnson's SBB across the 43 plots when the models are used in tree volume prediction. FOR. SCI. 48(1):47–58.

Keywords: Generalized beta distribution; Johnson's SBB distribution; bivariate generalized beta distribution; environmental management; forest; forest management; forest resources; forestry; forestry research; forestry science; goodness-of-fit test; natural resource management; natural resources

Document Type: Miscellaneous

Affiliations: 1: Research Assistant Faculty of Forestry, State University of New York, College of Environmental Science and Forestry, One Forestry Drive, Syracuse, NY, 13210, Phone: (315) 471-8763 fali@syr.edu 2: Associate Professor Faculty of Forestry, State University of New York, College of Environmental Science and Forestry, One Forestry Drive, Syracuse, NY, 13210, Phone: (315) 470-6558, Fax: (315) 470-6535 lizhang@syr.edu 3: Faculty of Forestry, State University of New York, College of Environmental Science and Forestry, One Forestry Drive, Syracuse, NY, 13210, Phone: (315) 470-6569 cjdavis@syr.edu

Publication date: 2002-02-01

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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