Stochastic fluctuations in frequency-dependent selection: A one-locus, two-allele and two-phenotype model☆ Export

@article{citeulike:3871521, abstract = {Stochastic fluctuations in a simple frequency-dependent selection model with one-locus, two-alleles and two-phenotypes are investigated. The steady-state statistics of allele frequencies for an interior stable phenotypic equilibrium are shown to be similar to the stochastic fluctuations in standard evolutionary game dynamics [Tao, Y., Cressman, R., 2007. Stochastic fluctuations through intrinsic noise in evolutionary game dynamics. Bull. Math. Biol. 69, 1377\&\#x2013;1399]. On the other hand, for an interior stable phenotypic or genotypic equilibrium, our main results show that the deterministic model cannot be used to predict the expectation of phenotypic frequency. The variance of phenotypic frequency for an interior stable genotypic equilibrium is more sensitive to the expected population size than for an interior stable phenotypic equilibrium. Furthermore, the stochastic fluctuations of allele frequency and phenotypic frequency can be considered approximately independent of each other for these genotypic equilibria, but not for phenotypic.}, author = {Tao, Y. and Cressman, R. and Zhang, B. and Zheng, X.}, citeulike-article-id = {3871521}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/j.tpb.2008.08.001}, citeulike-linkout-1 = {http://linkinghub.elsevier.com/retrieve/pii/S0040580908000889}, doi = {10.1016/j.tpb.2008.08.001}, issn = {00405809}, journal = {Theoretical Population Biology}, keywords = {game}, month = {October}, number = {3}, pages = {263--272}, posted-at = {2009-01-09 14:37:29}, priority = {2}, title = {Stochastic fluctuations in frequency-dependent selection: A one-locus, two-allele and two-phenotype model☆}, url = {http://dx.doi.org/10.1016/j.tpb.2008.08.001}, volume = {74}, year = {2008} }

TY - JOUR ID - citeulike:3871521 L3 - citeulike-article-id:3871521 N2 - Stochastic fluctuations in a simple frequency-dependent selection model with one-locus, two-alleles and two-phenotypes are investigated. The steady-state statistics of allele frequencies for an interior stable phenotypic equilibrium are shown to be similar to the stochastic fluctuations in standard evolutionary game dynamics [Tao, Y., Cressman, R., 2007. Stochastic fluctuations through intrinsic noise in evolutionary game dynamics. Bull. Math. Biol. 69, 1377–1399]. On the other hand, for an interior stable phenotypic or genotypic equilibrium, our main results show that the deterministic model cannot be used to predict the expectation of phenotypic frequency. The variance of phenotypic frequency for an interior stable genotypic equilibrium is more sensitive to the expected population size than for an interior stable phenotypic equilibrium. Furthermore, the stochastic fluctuations of allele frequency and phenotypic frequency can be considered approximately independent of each other for these genotypic equilibria, but not for phenotypic. IS - 3 JF - Theoretical Population Biology SN - 00405809 EP - 272 TI - Stochastic fluctuations in frequency-dependent selection: A one-locus, two-allele and two-phenotype model☆ VL - 74 SP - 263 KW - game AU - Tao, Y AU - Cressman, R AU - Zhang, B AU - Zheng, X PY - 2008/10// UR - http://dx.doi.org/10.1016/j.tpb.2008.08.001 ER -