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Browsing by Author "Sharma, Mahadev"

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    Dimensionally Compatible System of Equations for Tree and Stand Volume, Basal Area, and Growth
    Sharma, Mahadev (Virginia Tech, 1999-10-28)
    A dimensionally compatible system of equations for stand basal area, volume, and basal area and volume growth was derived using dimensional analysis. These equations are analytically and numerically consistent with dimensionally compatible individual tree volume and taper equations and share parameters with them. Parameters for the system can be estimated by fitting individual tree taper and volume equations or by fitting stand level basal area and volume equations. In either case the parameters are nearly identical. Therefore, parameters for the system can be estimated at the tree or stand level without changing the results. Data from a thinning study in loblolly pine (Pinus taeda L.) plantations established on cutover site-prepared lands were used to estimate the parameters. However, the developed system of equations is general and can be applied to other tree species in other locales.
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    Volume and taper equations for loblolly pine trees using dimensional analysis
    Sharma, Mahadev (Virginia Tech, 1995)
    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.