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A Compatible Volume-Taper Model Based On the Schumacher and Hall Generalized Constant Form Factor Volume Equation

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Abstract:

The generalized constant form factor volume equation fitted in logarithmic form by Schumacher and Hall (1933) has a logical basis in solid geometry. By extension of this rationale to a consideration of stem tip volume above a specified top diameter, compatible models for inside- and outside-bark variable-top volume and stem taper are derived and fitted with data from 872 plantation grown slash pine trees. The volume equations predict total volume when upper diameter is zero and always predict nonnegative volumes for any upper diameter. The taper curves have inflection points near dbh and are constrained to diameters of 0, dbh, and stump diameter when merchantable height equals total height, 4.5 ft and stump height, respectively. Statistics of fit on an independent subset of the data suggest that the outside-bark model compares favorably to a recently published compatible taper and volume model based on polynomials. For. Sci. 40(2):303-313.

Keywords: Merchantable volume; bark thickness; stump diameter; volume ratio

Document Type: Journal Article

Affiliations: Professor of Forest Biometrics and Management, Daniel B. Warnell School of Forest Resources, The University of Georgia, Athens, 30602-2152

Publication date: May 1, 1994

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