基于Fisher方程的生态环境规划摄动方程.docVIP

基于Fisher方程的生态环境规划摄动方程 肖建华 河南理工大学测量学院, 河南焦作市, 454000, jhxiao@ [摘要] 生态环境规划的核心问题是局部地区的短期生态变化会对周边地期产生何种生态变化，从而对全局生态形成何种新的生态平衡。描述生态动力学过程的是一个非线性方程。由于生态规划的执行结果是相对于全局的一个摄动过程，故对摄动过程的研究在生态规划中占有重要地位。这里，摄动过程的生态变化是高频率（短周期）的，而全局生态变化是低频的（长周期）。将高频的摄动生态变化转化为低频的全局生态变化就可判断一个生态环境规划是否达到预定目的。本研究先基于全局的生态动力学Fisher方程导出摄动动力学方程，尔后进行有关解的讨论。这样就构成原生态动力学方程的分段摄动线性近似。最后讨论用这些摄动线性近似解进行生态环境规划的有关问题。 [关键词] 分段摄动线性近似 生态动力学系统 生态环境规划 Perturbation Equation for Ecological Environment Planning Based on Non-linear Fisher Equation Xiao Jianhua Henan Polytechnic University [Abstract] The center problem of ecological environment planning is to evaluate the global ecology variation caused by local short-period ecology variation and to predict what kind of new ecologic balance state will be formed. The ecology variation is discribed by a non-linear dynamic equation. As the result of performing an ecological planning is a perturbation process reffering to the global ecology solution, it is valuable to study the perturbation dynamics in ecolgy environment planning. Generally, the perturbation variation is high frequency (short period) feature while the global variation is low frequency (long period) feature. By contructing the high frequency perturbation solution into low frequency global solution, the effcts of an ecology planning is evaluated. This research gets the perturebation equation from the non-linear dynamic equation. Then its typical solution is discussed. Hence, through such a treatment, the original non-linear equation is linearized by several section perturbation equations. Finally, the related ecology environment planning problems are discussed by these perturbation equations. [key word] perturbation equation ecology dynamic system ecology environment planning 生态环境规划的核心问题是局部地区的短期生态变化（如污染源的集聚造成局部地区的急剧生态破坏或在局部地区进行高强度的人造生态工程）会对周边地区产生何种生态变化，从而对全局生态形成何种新的生态平衡。由于生态规划的执行结果是相对于全局的一个摄动过程，故对摄动过程的研究在生态规划中占有重要地位。这里，摄动过程的生态变化是高频率（短周期）的，而全局生态变化是低频的（长周期）。将高频的摄动生态变化转化为低频的全局生态变化就可判断一个生态环境规划是否达到预定