Journal of Difference Equations and Applications ( IF 1.1 ) Pub Date : 2021-04-05 , DOI: 10.1080/10236198.2021.1906237 Anushaya Mohapatra 1 , Patrick De Leenheer 2
Using a stage-structured matrix model, we examine how the ideal free distribution (IFD) arises in the context of a partially migrating population. Partial migration is a unique form of phenotypic diversity wherein migrant and non-migrant individuals coexist together. We prove that the ideal free distribution is evolutionary stable in a global sense, assuming that both migrants and non-migrants experience density-dependent competition with each other during reproduction. We also establish that the partially migrating species satisfies a dichotomy: Either both morphs have the same fitness, a scenario that corresponds to an IFD. Or, one morph has higher fitness than the other. The evolutionary process, however, will drive the population to the IFD.
中文翻译:
理想的自由分配和部分移民的演变
使用阶段结构矩阵模型,我们研究了在部分人口迁移的情况下理想的自由分布(IFD)是如何产生的。部分迁移是表型多样性的一种独特形式,其中迁移者和非迁移者个体共存。我们证明了理想的自由分配在全球意义上是进化稳定的,假设移民和非移民在繁殖过程中都经历了密度依赖的竞争。我们还确定,部分迁移的物种满足二分法:两个变体具有相同的适应度,这是与IFD相对应的方案。或者,一个变体比另一个变体具有更高的适应性。但是,进化过程将驱使人们迁移到IFD。