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Position: Home > Articles > Mathematical Analysis for Symbiosis between Coniferous and Broadleaved Species in Forest Ecological System Central South Forest Inventory and Planning 2010,29 (1) 50-54

森林生态系统中针阔树种共生关系的数学分析

作  者:
曾伟生
单  位:
中国林科院资源信息研究所
关键词:
森林生态系统;共生;平衡点;稳定性;动态模型
摘  要:
森林生态系统中不同树种之间存在着非常复杂的共生关系。以数学方法为手段,通过进行合理假设和建立动态模型,对森林生态系统中针阔树种的共生关系进行分析;并利用模拟范例,求出共生共存的平衡点状态,对平衡点进行稳定性分析和灵敏度分析。结果表明:不同树种之间能否共生共存,取决于种内竞争和种间竞争;竞争压力越大,不同树种就可能难以共生而导致某一树种逐渐消亡;竞争压力越小,能够共生的可能性就越高,整个生态系统在达到平衡状态时的生物量就越大;两类树种能够共生时会存在平衡点,而且平衡点是渐近稳定的;森林生态系统的发生发展都会逐渐向平衡点靠近,并最终达到稳定状态。
译  名:
Mathematical Analysis for Symbiosis between Coniferous and Broadleaved Species in Forest Ecological System
作  者:
ZENG Weisheng(Institute of Forest Resources Information,Chinese Academy of Forestry,Beijing 100091,China)
关键词:
forest ecological system;symbiosis;equilibrium point;stability;dynamic model
摘  要:
There are complicated symbiotic relations between various tree species in forest ecological system.In this paper,based on reasonable assumptions,the symbiosis between coniferous and broadleaved species in forest ecological system was analyzed mathematically by building a dynamic model.than,an example was demonstrated to achieve the equilibrium point for coexistence,and to analyze the stability and sensitivity of the equilibrium solution.It was shown that whether or not the various species could coexist depends on the competitions between different species and between members of same species,that is,strong competition may cause difficult coexistence and lead to extinction of some species,and weak completion may allow symbiosis between various species and make the biomass high at the equilibrium point of the forest ecological system.The equilibrium point for coexistence is asymptotically stable,that means,whatever the initial state is,the system will eventually converge upon the point and remain in stable equilibrium.

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