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Transition in the ancestral reproduction rate and its implications for the site frequency spectrum
Published 26 Feb 2024 in math.PR and q-bio.QM | (2402.16306v1)
Abstract: Consider a supercritical birth and death process where the children acquire mutations. We study the mutation rates along the ancestral lineages in a sample of size $n$ from the population at time $T$. The mutation rate is time-inhomogenous and has a natural probabilistic interpretation. We use these results to obtain asymptotic results for the site frequency spectrum associated with the sample.
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