Switkes J M, Moody M E
Department of Mathematics, Claremont Graduate University, Claremont, CA 91711, USA.
J Math Biol. 2001 Feb;42(2):175-94. doi: 10.1007/s002850100071.
We investigate a general model describing coevolutionary interaction between a haploid population and a diploid population, each with two alleles at a single locus. Both species are allowed to evolve, with the fitness of the genotypes of each species assumed to depend linearly on the frequencies of the genotypes of the other species. We explore the resulting outcomes of these interactions, in particular determining the location of equilibria under various conditions. The coevolution here is much more complex than that between two haploid populations and allows for the possibility of two polymorphic equilibria. To allow for further analysis, we construct a semi-symmetric model. The variety of outcomes possible even in this second model provides support for the geographic mosaic theory of coevolution by suggesting the possibility of small local populations coevolving to very different outcomes, leading to a shifting geographic mosaic as neighboring populations interact with each other through migration.
我们研究了一个描述单倍体种群和二倍体种群之间协同进化相互作用的通用模型，每个种群在单个基因座上有两个等位基因。两个物种都可以进化，假设每个物种基因型的适合度线性依赖于另一个物种基因型的频率。我们探索这些相互作用产生的结果，特别是确定各种条件下的平衡点位置。这里的协同进化比两个单倍体种群之间的协同进化要复杂得多，并且允许出现两个多态平衡点的可能性。为了便于进一步分析，我们构建了一个半对称模型。即使在第二个模型中，可能出现的各种结果也支持了协同进化的地理镶嵌理论，这表明小的本地种群可能协同进化到非常不同的结果，随着相邻种群通过迁移相互作用，从而导致地理镶嵌的变化。
