Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance Export

@article{citeulike:2584258, abstract = {To a first order of approximation, selection is frequency independent in a wide range of family structured models and in populations following an island model of dispersal, provided the number of families or demes is large and the population is haploid or diploid but allelic effects on phenotype are semidominant. This result underlies the way the evolutionary stability of traits is computed in games with continuous strategy sets. In this paper similar results are derived under isolation by distance. The first-order effect on expected change in allele frequency is given in terms of a measure of local genetic diversity, and of measures of genetic structure which are almost independent of allele frequency in the total population when the number of demes is large. Hence, when the number of demes increases the response to selection becomes of constant sign. This result holds because the relevant neutral measures of population structure converge to equilibrium at a rate faster than the rate of allele frequency changes in the total population. In the same conditions and in the absence of demographic fluctuations, the results also provide a simple way to compute the fixation probability of mutants affecting various ecological traits, such as sex ratio, dispersal, life-history, or cooperation, under isolation by distance. This result is illustrated and tested against simulations for mutants affecting the dispersal probability under a stepping-stone model.}, author = {Rousset, Francois}, citeulike-article-id = {2584258}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.tpb.2005.08.008}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WXD-4J021GX-1/2/df3c3db42d2179efde0d5d72b0ea0fc9}, doi = {10.1016/j.tpb.2005.08.008}, journal = {Theoretical Population Biology}, keywords = {diploid, evolution, game}, month = {March}, number = {2}, pages = {165--179}, posted-at = {2008-03-25 10:46:00}, priority = {2}, title = {Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance}, url = {http://dx.doi.org/10.1016/j.tpb.2005.08.008}, volume = {69}, year = {2006} }

TY - JOUR ID - citeulike:2584258 L3 - citeulike-article-id:2584258 N2 - To a first order of approximation, selection is frequency independent in a wide range of family structured models and in populations following an island model of dispersal, provided the number of families or demes is large and the population is haploid or diploid but allelic effects on phenotype are semidominant. This result underlies the way the evolutionary stability of traits is computed in games with continuous strategy sets. In this paper similar results are derived under isolation by distance. The first-order effect on expected change in allele frequency is given in terms of a measure of local genetic diversity, and of measures of genetic structure which are almost independent of allele frequency in the total population when the number of demes is large. Hence, when the number of demes increases the response to selection becomes of constant sign. This result holds because the relevant neutral measures of population structure converge to equilibrium at a rate faster than the rate of allele frequency changes in the total population. In the same conditions and in the absence of demographic fluctuations, the results also provide a simple way to compute the fixation probability of mutants affecting various ecological traits, such as sex ratio, dispersal, life-history, or cooperation, under isolation by distance. This result is illustrated and tested against simulations for mutants affecting the dispersal probability under a stepping-stone model. IS - 2 JF - Theoretical Population Biology EP - 179 TI - Separation of time scales, fixation probabilities and convergence to evolutionarily stable states under isolation by distance VL - 69 SP - 165 KW - diploid KW - evolution KW - game AU - Rousset, Francois PY - 2006/03// UR - http://dx.doi.org/10.1016/j.tpb.2005.08.008 ER -