TY - JOUR
T1 - Evolutionarily stable strategies and short-term selection in Mendelian populations re-visited
AU - Sansone, Emilia
AU - Eshel, Ilan
PY - 2006/8
Y1 - 2006/8
N2 - This note concerns a one locus, two allele, random mating diploid population, subject to frequency-dependent viability selection. It is already known that in such a population, any evolutionarily stable strategies (ESS), if only accessible by the genotype-to-phenotype mapping, is the phenotypic image of a stable genetic equilibrium (Eshel, I. 1982. Evolutionarily stable strategies and viability selection in Mendelian populations. Theor. Popul. Biol. 22(2), 204-217; Cressman et al. 1996. Evolutionary stability in strategic models of single-locus frequency-dependent viability selection. J. Math. Biol. 34, 707-733). The opposite is not true. We find necessary and sufficient parametric conditions for global convergence to the ESS, but we also demonstrate conditions under which, although a unique, genetically accessible ESS exists, there is another, "non-phenotypic" genetically stable equilibrium.
AB - This note concerns a one locus, two allele, random mating diploid population, subject to frequency-dependent viability selection. It is already known that in such a population, any evolutionarily stable strategies (ESS), if only accessible by the genotype-to-phenotype mapping, is the phenotypic image of a stable genetic equilibrium (Eshel, I. 1982. Evolutionarily stable strategies and viability selection in Mendelian populations. Theor. Popul. Biol. 22(2), 204-217; Cressman et al. 1996. Evolutionary stability in strategic models of single-locus frequency-dependent viability selection. J. Math. Biol. 34, 707-733). The opposite is not true. We find necessary and sufficient parametric conditions for global convergence to the ESS, but we also demonstrate conditions under which, although a unique, genetically accessible ESS exists, there is another, "non-phenotypic" genetically stable equilibrium.
KW - Dynamic stability
KW - ESS
KW - Frequency dependent selection
KW - Global stability
UR - http://www.scopus.com/inward/record.url?scp=33744521378&partnerID=8YFLogxK
U2 - 10.1016/j.tpb.2005.09.002
DO - 10.1016/j.tpb.2005.09.002
M3 - מאמר
AN - SCOPUS:33744521378
VL - 70
SP - 76
EP - 81
JO - Theoretical Population Biology
JF - Theoretical Population Biology
SN - 0040-5809
IS - 1
ER -