自竞争方程

Self-competition equation.

该文提出的自竞争方程 ,是在单个植株的生长方程中加入相互作用项 ,将同一种的个别植株之间的相互竞争作用反映到植株的生长过程中来 .作为示例 ,该文用Logistic方程描写个别植株的生长过程 ,并且在方程中加入了十分简单的柱型或锥型相互作用项 ,模拟了植被的自稀疏过程 ,并且统计出与 - 3 2定律十分符合的结果 .指出自竞争方程可推广为植株相互作用方程 ,应用于植株与植株之间的任何关系 ,并进一步发展成植被统计力学 .在现代计算机的速度、容量和功能高度发达的基础上 。

A self competition equation, which is based on individual plant growth equation with some competition interaction term between two plants of same species, is presented. As an example, the equation was applied to simulate self thinning process of vegetation, in which some simple cylinder and cone interaction terms were used, and statistical results were very similar to -3/2 law. The self competition equations can be generalized to describe other interactions between two plants in principle, and further developed into vegetation statistical dynamics, which might be a powerful theoretical tool.