Analysis of diversity-dependent species evolution using concepts in population genetics.
In this work, we consider a two-type species model with trait-dependent speciation, extinction and transition rates under an evolutionary time scale. The scaling approach and the diffusion approximation techniques which are widely used in mathematical population genetics provide modeling tools and conceptual background to assist in the study of species dynamics, and help exploring the analogy between trait-dependent species diversification and the evolution of allele frequencies in the population genetics setting. The analytical framework specified is then applied to models incorporating diversity-dependence, in order to infer effective results from processes in which the net diversification of species depends on the total number of species. In particular, the long term fate of a rare trait may be analyzed under a partly symmetric scenario, using a time-change transform technique.
['Kaj|Ingemar|I|0000-0002-7672-190X', 'Glémin|Sylvain|S|', 'Tahir|Daniah|D|', 'Lascoux|Martin|M|']
D005075:Biological Evolution D005787:Gene Frequency D014644:Genetic Variation D005828:Genetics, Population D008957:Models, Genetic D010641:Phenotype
Carrying capacity model Scaling limit process Trait fixation probability Two-type branching Wright–Fisher diffusion