The ancestral graph and gene genealogy under frequency-dependent selection

Claudia Neuhauser

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32 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)203-214
Number of pages12
JournalTheoretical Population Biology
Issue number2
StatePublished - Oct 1999

Bibliographical note

Funding Information:
1Partially supported by NSF Grant DMS-97-03694.


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