| Full text | |
| Author(s): |
Schneider, David M.
[1]
;
do Carmo, Eduardo
[2]
;
Martins, Ayana B.
[3]
;
de Aguiar, Marcus A. M.
[1]
Total Authors: 4
|
| Affiliation: | [1] Univ Estadual Campinas, UNICAMP, Inst Fis Glob Wataghin, BR-13083859 Campinas, SP - Brazil
[2] Univ Fed Integracao Latino Amer, BR-85867970 Foz Do Iguacu, PR - Brazil
[3] Univ Sao Paulo, Inst Biociencias, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 409, p. 35-47, SEP 1 2014. |
| Web of Science Citations: | 3 |
| Abstract | |
We discuss a minimalist model of assortative mating for sexually reproducing haploid individuals with two biallelic loci. Assortativeness is introduced in the model by preventing mating between individuals whose alleles differ at both loci. Using methods of dynamical systems and population genetics we provide a full description of the evolution of the system for the case of very large populations. We derive the equations governing the evolution of haplotype frequencies and study the equilibrium solutions, stability, and speed of convergence to equilibrium. We find a constant of motion which allows us to introduce a geometrical construction that makes it straightforward to predict the fate of initial conditions. Finally, we discuss the consequences of this class of assortative mating models, including their possible extensions and implications for sympatric and topopatric speciation. (C) 2014 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 09/11032-5 - Population dynamics and semiclassical methods |
| Grantee: | Marcus Aloizio Martinez de Aguiar |
| Support Opportunities: | Research Projects - Thematic Grants |