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arXiv · 2402.16306

Transition in the ancestral reproduction rate and its implications for the site frequency spectrum

Yubo Shuai
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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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Yubo Shuai. 2024-02-26. Transition in the ancestral reproduction rate and its implications for the site frequency spectrum. https://arxiv.org/abs/2402.16306

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