年齢幅の縦断的分布についての数学的表現の試み(I) : 基本的方法

概要

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We attempted to express the vertical distribution of annual ring width from the apex to the butt of a stem in terms of a mathematical form under the following assumptions : 1) Only one branch, which is clustered with leaves, attaches to the upper part of the stem. 2) A unit quantity of the photosynthetic substance produced by the leaves flows into phloem of the stem at intervals of a unit time. First, we adopted a generalized random walk with two boundary conditions, one of which is an elastic barrier at the butt and another is an absorbing barrier at roots, for expressing the movement of the substance passing through the phloem. As a next step, we applied a diffusion equation with the third kind of boundary conditions to the movement of the substance. Although the vertical distribution obtained from these models differed from actual one in the part above the branch, it was indicated that the actual vertical distribution could be obtained by improving this theory.
日本森林学会の論文
1993-03-01