Genealogies in bistable waves
نویسندگان
چکیده
We study a model of selection acting on diploid population (one in which each individual carries two copies gene) living one spatial dimension. suppose particular gene appears forms (alleles) A and a, that individuals carrying AA have higher fitness than aa individuals, while Aa lower both individuals. The proportion advantageous alleles expands through the approximately according to travelling wave. prove suitable timescale, genealogy sample taken from near wavefront converges Kingman coalescent as density goes infinity. This contrasts with case directional corresponding limit is thought be Bolthausen-Sznitman coalescent. proof uses ‘tracer dynamics’.
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ژورنال
عنوان ژورنال: Electronic Journal of Probability
سال: 2022
ISSN: ['1083-6489']
DOI: https://doi.org/10.1214/22-ejp845