The dynamical theory of coevolution: A derivation from stochastic ecological processes
The dynamical theory of coevolution: A derivation from stochastic ecological processes
复制标题
DOI：
10.1007/bf02409751
复制
发表时间：
1996-05-01
影响因子：
1.9
通讯作者：
Law, R
中科院分区：
文献类型：
--
作者：
Dieckmann, U;Law, R
在本文中，我们发展了一个动力学理论的共同进化的生态社区。推导明确占进化变化的随机成分，是基于生态过程中的个人水平。我们表明，共同进化的动态可以设想为一个有向随机游走在社会的特质空间。这个随机过程的定量描述的主方程推导。通过确定这一过程的第一跳时刻，我们抽象的平均进化路径的动态。一阶的所得方程符合一个动态，经常假设在进化博弈论。除了恢复这个正则方程，我们系统地建立基本假设。我们提供了更高阶的校正，并表明这些可以引起新的，意想不到的进化效果，包括移动进化等倾线和进化减慢的平均路径，因为它们接近进化平衡。扩展的推导更一般的生态环境进行了讨论。特别是，我们允许多性状的共同进化和分析下的非平衡种群动力学的共同进化。
In this paper we develop a dynamical theory of coevolution in ecological communities. The derivation explicitly accounts for the stochastic components of evolutionary change and is based on ecological processes at the level of the individual. We show that the coevolutionary dynamic can be envisaged as a directed random walk in the community's trait space. A quantitative description of this stochastic process in terms of a master equation is derived. By determining the first jump moment of this process we abstract the dynamic of the mean evolutionary path. To first order the resulting equation coincides with a dynamic that has frequently been assumed in evolutionary game theory. Apart from recovering this canonical equation we systematically establish the underlying assumptions. We provide higher order corrections and show that these can give rise to new, unexpected evolutionary effects including shifting evolutionary isoclines and evolutionary slowing down of mean paths as they approach evolutionary equilibria. Extensions of the derivation to more general ecological settings are discussed. In particular we allow for multi-trait coevolution and analyze coevolution under nonequilibrium population dynamics.