Competitive divergence in non-random mating populations |
| |
Authors: | Schneider Kristan A |
| |
Institution: | Department of Mathematics, University of Vienna, Nordbergstrasse 15, UZA 4, A-1090 Wien, Austria. kristan.schneider@univie.ac.at |
| |
Abstract: | A haploid model of frequency-dependent selection and assortative mating is introduced and analyzed for the case of a single multiallelic autosomal locus. Frequency-dependent selection is due to intraspecific competition mediated by a quantitative character under stabilizing or directional selection. Assortment is induced by the same trait. We analyze the equilibrium structure and the local stability properties of all possible equilibria. In the limit of weak selection we obtain global stability properties by finding a Lyapunov function. We provide necessary and sufficient conditions for the maintenance of polymorphism in terms of the strength of stabilizing selection, intraspecific competition and assortment. Our results also include criteria for the ability of extreme types to invade the population. Furthermore, we study the occurrence of disruptive selection and provide necessary and sufficient conditions for intraspecific divergence to occur. |
| |
Keywords: | Frequency-dependent selection Disruptive selection Stabilizing selection Assortative mating Intraspecific divergence Long-term evolution |
本文献已被 ScienceDirect PubMed 等数据库收录! |
|