中文摘要：

矩阵理论已被广泛应用于树木生长模型中,对于给定的一个可持续发展森林的林分,经过调查分析,可用线性系统表示,并且这个简化的系统可以收敛到一个与原始状态无关的稳定状态.文中给出了系统经过长远发展后的极限状态的证明过程,并且该结论对多个树种的情形也是成立的.

英文摘要：

The matrix theory has been applied in the forest growth modeling. For a given a sustainable development of forest stand, a linear model shows that a simplified system can be convergent to a stable state which is irrelevant to the original state of the forest under investigation, and the limit state after a long term development is presented. And this conclusion to multiple tree species is also established.