Department of Mathematical Sciences, Monash University, Melbourne, Australia.
J Biol Dyn. 2011 Mar;5(2):147-62. doi: 10.1080/17513758.2010.506041.
First a population model with one single type of individuals is considered. Individuals reproduce asexually by splitting into two, with a population-size-dependent probability. Population extinction, growth and persistence are studied. Subsequently the results are extended to such a population with two competing morphs and are applied to a simple model, where morphs arise through mutation. The movement in the trait space of a monomorphic population and its possible branching into polymorphism are discussed. This is a first report. It purports to display the basic conceptual structure of a simple exact probabilistic formulation of adaptive dynamics.
首先考虑一个只有一种个体的群体模型。个体通过分裂成两个个体进行无性繁殖，繁殖概率与种群大小有关。研究了种群灭绝、增长和持续存在的问题。随后，将结果扩展到具有两种竞争形态的种群，并将其应用于一个简单的模型，其中形态通过突变产生。讨论了单态群体在特征空间中的运动及其可能向多态性分支的问题。这是第一个报告。它旨在展示适应性动态的简单精确概率公式的基本概念结构。
