An integrated approach to individual tree volume distribution and stem profile modeling

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Abstract
Individual tree merchantable volume – total volume ratios with respect to stem diameters and heights on the tree stem were described with the SB distribution. Different volume ratio estimates were obtained from these models for a given location on the tree stem depending on whether the location is indexed by a diameter or height. This problem is common with many volume ratio systems. To overcome this problem, the merchantable volume – total volume ratios with respect to joint stem diameters and heights were described with the SBB bivariate distribution. Error analyses showed that the bivariate distribution had less error than the marginal SB distribution for stem diameters, but more error than the marginal SB distribution for stem heights. A stem taper model was obtained from the conditional distribution of diameter given height using the median regression.

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