Modeling the Basal Area-size Distribution of Forest Stands: A Compatible Approach
Abstract:This paper presents a methodology that allows diameter distributions to be conformably modeled by letting the probability density represent either tree frequency as in the classic case, or basal area. The key to relating the two forms of the probability density is shown to lie in weighted distribution theory. The motivation for the relationship lies in the quadratic relationship between diameter at breast height and basal area. The weighted distribution approach is shown to be compatible with current methods of calculating quantities such as basal area by diameter class, but in addition, affords the development of new equations useful in parameter recovery or similar modeling strategies. Relationships are developed for all of the major distributions found to have been useful in forestry for fitting diameter distribution models. Several stands to which the two- and three-parameter Weibull distributions have been fitted are also presented. For. Sci. 44(2):285-297.
Document Type: Journal Article
Affiliations: Distinguished Professor and Director, Center for Statistical Ecology and Environment Statistics, Department of Statistics, The Pennsylvania State University, 421 Thomas Building, University Park, PA 16802-2112
Publication date: 1998-05-01
- 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.
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