Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - The common ancestor at a non-neutral locus.
AU - Fearnhead, Paul
PY - 2002
Y1 - 2002
N2 - We consider a nonneutral population genetics model with parent-independent mutations and two selective classes. We calculate the stationary distribution of the type of the common ancestor of a sample of genes from this model. The expected fitness of any ancestor (including the most recent common ancestor of any sample) is shown to be greater than the expected fitness of a randomly chosen gene from the population. The process of mutations to the common ancestor is also analysed. Our results are related to, but more general than, results obtained from diffusion theory.
AB - We consider a nonneutral population genetics model with parent-independent mutations and two selective classes. We calculate the stationary distribution of the type of the common ancestor of a sample of genes from this model. The expected fitness of any ancestor (including the most recent common ancestor of any sample) is shown to be greater than the expected fitness of a randomly chosen gene from the population. The process of mutations to the common ancestor is also analysed. Our results are related to, but more general than, results obtained from diffusion theory.
KW - Ancestral selection graph
KW - common ancestor
KW - fitness
KW - fixation
KW - parent-independent mutations
U2 - 10.1239/jap/1019737986
DO - 10.1239/jap/1019737986
M3 - Journal article
VL - 39
SP - 38
EP - 54
JO - Journal of Applied Probability
JF - Journal of Applied Probability
IS - 1
ER -