TY  - JOUR
A1  - Boenkost, Florin
A1  - Casanova Soberón, Adrián González
A1  - Pokalyuk, Cornelia
A1  - Wakolbinger, Anton
T1  - Haldane’s formula in Cannings models: the case of moderately strong selection
T2  - Journal of Mathematical Biology
N2  - For a class of Cannings models we prove Haldane’s formula, π(sN)∼2sNρ2, for the fixation probability of a single beneficial mutant in the limit of large population size N and in the regime of moderately strong selection, i.e. for sN∼N−b and 0<b<1/2. Here, sN is the selective advantage of an individual carrying the beneficial type, and ρ2 is the (asymptotic) offspring variance. Our assumptions on the reproduction mechanism allow for a coupling of the beneficial allele’s frequency process with slightly supercritical Galton–Watson processes in the early phase of fixation.
KW  - Branching process approximation
KW  - Cannings model
KW  - Directional selection
KW  - Probability of fixation
Y1  - 2021
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/59027
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-590279
SN  - 1432-1416
SN  - 0303-6812
VL  - 83
IS  - 70
PB  - Springer
CY  - Berlin ; Heidelberg ; New York
ER  -