STOCHASTIC SPATIAL MODELS - A USERS GUIDE TO ECOLOGICAL APPLICATIONS
STOCHASTIC SPATIAL MODELS - A USERS GUIDE TO ECOLOGICAL APPLICATIONS
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DOI：
10.1098/rstb.1994.0028
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发表时间：
1994-02-28
期刊：
影响因子：
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通讯作者：
LEVIN, SA
中科院分区：
文献类型：
--
作者：
DURRETT, R;LEVIN, SA
空间格局，它如何产生以及如何维持，是生态理论的核心焦点。近年来，人们的注意力已经从连续模型转向空间离散模型，这样可以轻松处理局部随机效应和非局部空间影响。其中许多属于被称为“相互作用粒子系统”的数学领域，它提供了一系列结果，有助于解释已考虑的模拟模型套件，并指向未来的分析。在本文中，我们回顾了基础数学文献。生态文献中的三个有影响力的例子被考虑并置于总体框架内，这对于空间生态相互作用的研究来说是一个强有力的例子。
Spatial pattern, how it arises and how it is maintained, are central foci for ecological theory. In recent years, some attention has shifted from continuum models to spatially discrete analogues, which allow easy treatment of local stochastic effects and of non-local spatial influences. Many of these fall within the area of mathematics known as 'interacting particle systems', which provides a body of results that facilitate the interpretation of the suite of simulation models that have been considered, and point towards future analyses. In this paper we review the basic mathematical literature. Three influential examples from the ecological literature are considered and placed within the general framework, which is shown to be a powerful one for the study of spatial ecological interactions.