Artículos de revistas
A Dynamical Analysis Of Allele Frequencies In Populations Evolving Under Assortative Mating And Mutations
Registro en:
Physica A: Statistical Mechanics And Its Applications. Elsevier, v. 421, n. , p. 54 - 68, 2015.
3784371
10.1016/j.physa.2014.11.030
2-s2.0-84918797903
Autor
Schneider D.M.
Do Carmo E.
De Aguiar M.A.M.
Institución
Resumen
We study the evolution of allele frequencies for infinitely large populations subjected to mutations and assortative mating. Haploid individuals are described by two biallelic genes, and assortativity is introduced by preventing mating between individuals whose alleles differ at both loci. In the absence of mutations, evolution leads to the disappearance of one of the alleles. However, a particular combination of the allele frequencies at the two loci is maintained constant. We show that this combination remains constant even when mutations are present, revealing the robustness of the epistatic correlation introduced by the non-random mating mechanism. We obtain the equilibrium solutions for arbitrary values of the mutation rate and provide a description of the dynamics on the basis of a bifurcation analysis. 421
54 68 Coyne, J.A., Orr, H.A., (2004) Speciation, , first ed. Sinauer Associates, Inc Nosil, P., (2012) Ecological Speciation, , Oxford University Press Oxford, New York Mayr, E., (2001) What Evolution is, , Basic Books De Aguiar, M.A.M., Baranger, M., Baptestini, E.M., Kaufman, L., Bar-Yam, Y., Global patterns of speciation and diversity (2009) Nature, 460, pp. 384-387 Martins, A.B., Bar-Yam, Y., Evolution and stability of ring species (2013) Proc. Nat. Acad. Sci., 110, pp. 5080-5084 Baptestini, E.M., De Aguiar, M.A.M., Bar-Yam, Y., The role of sex separation in neutral speciation (2013) J. Theor. Ecol., 6, p. 213 Kondrashov, A.S., Shpak, M., On the origin of species by means of assortative mating (1998) Proc. R. Soc. B, 265, p. 2273 Gavrilets, S., Li, H., Vose, M.D., Rapid parapatric speciation on holey adaptive landscapes (1998) Proc. Biol. Sci., 265, pp. 1483-1489 Gavrilets, S., Li, H., Vose, M.D., Patterns of parapatric speciation (2000) Proc. Biol. Sci., 54, pp. 1126-1134 Candolin, U., The use of multiple cues in mate choice (2003) Biol. Rev., 78, pp. 575-595 Wright, S., Isolation by distance (1943) Genetics, 28, pp. 114-138 De Aguiar, M.A.M., Bar-Yam, Y., The Moran model as a dynamical process on networks and its implications for neutral speciation (2011) Phys. Rev. e, 84, p. 031901 Baptestini, E.M., De Aguiar, M.A.M., Bar-Yam, Y., Conditions for neutral speciation via isolation by distance (2013) J. Theoret. Biol., 335, p. 51 De Aguiar, M.A.M., Schneider, D.M., Do Carmo, E., Campos, P.R.A., Martins, A.B., (2014) Error Catastrophe in Populations under Similarity-essential Recombination, , submitted for publication Schneider, D.M., Martins, A.B., Do Carmo, E., De Aguiar, M.A.M., Toward a theory of topopatric speciation: The role of genetic assortative mating (2014) Physica A, 409, pp. 35-47 Kimura, M., A model of a genetic system which leads to closer linkage by natural selection (1956) Evolution, 10, pp. 278-287 Crow, J.F., Kimura, M., (1970) An Introduction to Population Genetics Theory, , The Blackburn Press Karlin, S., General two-locus selection models: Some objectives, results and interpretations (1975) Theor. Popul. Biol., 7, pp. 364-398 Hastings, A., Marginal underdominance at a stable equilibrium (1981) Proc. Natl. Acad. Sci. USA, 78, pp. 6558-6559 Ewens, W.J., (2004) Mathematical Population Genetics: I. Theoretical Introduction, , Springer Hamilton, M., (2009) Population Genetics, , first ed. Wiley-Blackwell Gavrilets, S., (2004) Fitness Landscapes and the Origin of Species, , Princeton University Press O'Donald, P., Assortative mating in a population in which two alleles are segregating (1960) Heredity, 15, pp. 389-396 Crosby, J.L., The evolution of gametic discontinuity: Computer models of the selection of barriers to interbreeding between subspecies (1970) Heredity, 25, pp. 253-297 Felsenstein, J., Skepticism towards Santa Rosalia, or why are there so few kinds of animals? (1981) Evolution, 35, pp. 124-138 Moore, W.S., A single locus mass-action model of assortative mating with comments on the process of speciation (1979) Heredity, 46, pp. 191-195 Spirito, F., The reduction of gene exchange due to a prezygotic isolating mechanisms with monogenic inheritance (1987) Theor. Popul. Biol., 32, pp. 216-239 Spirito, F., Sampogna, F., Conditions for the maintenance of prezygotic and zygotic isolation in a continent-island model (1995) Theor. Popul. Biol., 48, pp. 235-250 Higgs, P.G., Derrida, B., Stochastic models for species formation in evolving populations (1991) J. Phys. A, 24, pp. 985-L991 Higgs, P.G., Derrida, B., Genetic distance and species formation in evolving populations (1992) J. Mol. Evol., 35, pp. 454-465 Hardy, G.H., Mendelian proportions in a mixed population (1908) Science, 28, pp. 49-50 Weinberg, W., Über den nachweis der vererbung beim menschen (1908) Jh Ver Vaterl Naturk Wurttemb, 64, pp. 368-382 Eigen, M., McCaskill, J., Schuster, P., The molecular quasi-species (1989) Adv. Chem. Phys., 75, pp. 149-263