枝密度関数の解析

Abstract

1. 枝数の垂直方向の分布を巨視的に表現する方法として枝密度関数の誘導を検討した。2. 数種の植物について検討した結果, 枝密度関数は非常に単純な方程式で経験的に近似されることが判明した。たとえばヒノキ林では次の枝密度関数が存在する。3. ヒノキ林の枝密度関数の解析を通じてその有効性を指摘した。

This paper deals with a new method useful for the description and analysis of the existing state of branches attached to the stem. 2). The method of derivation of the distribution density function of the branch position on the stem was developed by introducing the cumulative amount, [Figure omitted], in which the meanings of the mathematical simbols are as follows: Z; Distance between position of arbitrary branch and tree top (cm). n(Z); Number of branches at distance Z from tree top (Dimensionless). N(Z); Total number s of branches at Z centimeter's distance from tree top (Dimensionless). N; Total numbers of branches per tree (Dimensionless). φ(Z); Probability density function of branch number at Z in distance from tree top, namely, distribution density function of Z(cm-1). 2). By using some species of trees the actual functional forms of φ(Z) were examined. For example, one type of φ(Z) found in a Chamaecyparis obtusa forest was as follows: [Figure omitted] 3). In the course of quantitative analysis of φ(Z) of Chamaecyparis obtusa, the advantages of a new approache to the analysis of the branching system of trees were suggested.