Volume and taper equations for loblolly pine trees using dimensional analysis

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Virginia Tech

A dimensional analysis approach was applied to derive a general volume equation for a tree. A taper equation compatible with the general volume equation was developed. Data from loblolly pine trees grown in natural stands in the Coastal Plain of North Carolina and the Coastal Plain and Piedmont areas of Virginia were used to estimate the parameters for these volume equations.

A dimensionally compatible volume equation is shown to be a better equation for estimation of the volume of loblolly pine trees and can be applied for the estimation of total volume. The taper equation can be applied to predict the diameter for any specified height and to predict height for any top diameter limit. The volume between any two points on the tree bole can be calculated by integration of the taper equation.