1985 年 35 巻 3 号 p. 345-355
The frequency distribution of individual tree height in a forest stand was studied by applying Pearson's type VII distribution to the observed tree height data obtained from Chamaecyparis obtusa plantations in the Kanto region, Japan. The tree height data followed a model designated as the 1/2 power law of tree height. This model described the dependence of mean tree height on tree density in a stand. Limited by the model, all the coefficients of Pearson's type VII distribution were formulated by empirical equations of tree density. From these empirical equations, a mathematical model was developed for the frequency distribution of individual tree height in forest stands limited by the 1/2 power law of tree height. Furthermore, the dependence of individual tree height upon tree density was formulated by a function of tree density.