A Useful Bivariate Distribution for Describing Stand Structure of Tree Heights and Diameters

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Abstract
Hafley and Schreuder (1977) showed that the marginal SB bivariate distribution fits diameter and height data consistently better than the Weibull, beta, gamma, lognormal and normal distributions. The bivariate extension of the SB distribution, the SBB, is both more realistic and provides more usable information than the currently accepted approach in describing even-aged forest stand height-diameter data. The SBB allows for the generation of bivariate frequencies for diameter and height, whereas the current approach only provides marginal frequencies for diameter. In addition, the SBB implies a new height-diameter relationship which is comparable to the most commonly used height-diameter regression model. Application of the SBB to 2 data sets is presented.

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