TY - JOUR
T1 - The ancestral graph and gene genealogy under frequency-dependent selection
AU - Neuhauser, Claudia
N1 - Funding Information:
1Partially supported by NSF Grant DMS-97-03694.
PY - 1999/10
Y1 - 1999/10
N2 - Minority-advantage frequency-dependent selection has been proposed as the cause for the high level of observed polymorphism in some self/nonself-recognition systems. We present a mathematically rigorous derivation of the ancestral graph for a sample of genes that evolved according to a haploid infinite-alleles model of minority-advantage frequency-dependent selection. In the case of sufficiently weak selection, the gene genealogy can be extracted from the ancestral graph. We demonstrate that the gene genealogy under this model is identical to that obtained for a diploid model with heterozygote advantage. The case of strong selection is exemplified by a one-locus haploid self-incompatibility system, in this context, we investigate the number of alleles that can be maintained in a spatial versus a non-spatial habitat. Finally, we compare gametophytic self-incompatibility to the haploid self-incompatibility model.
AB - Minority-advantage frequency-dependent selection has been proposed as the cause for the high level of observed polymorphism in some self/nonself-recognition systems. We present a mathematically rigorous derivation of the ancestral graph for a sample of genes that evolved according to a haploid infinite-alleles model of minority-advantage frequency-dependent selection. In the case of sufficiently weak selection, the gene genealogy can be extracted from the ancestral graph. We demonstrate that the gene genealogy under this model is identical to that obtained for a diploid model with heterozygote advantage. The case of strong selection is exemplified by a one-locus haploid self-incompatibility system, in this context, we investigate the number of alleles that can be maintained in a spatial versus a non-spatial habitat. Finally, we compare gametophytic self-incompatibility to the haploid self-incompatibility model.
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U2 - 10.1006/tpbi.1999.1412
DO - 10.1006/tpbi.1999.1412
M3 - Article
C2 - 10544069
AN - SCOPUS:0033213362
SN - 0040-5809
VL - 56
SP - 203
EP - 214
JO - Theoretical Population Biology
JF - Theoretical Population Biology
IS - 2
ER -