Transition in the ancestral reproduction rate and its implications for the site frequency spectrum
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911784045117440 |
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| author | Shuai, Yubo |
| author_facet | Shuai, Yubo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16306 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transition in the ancestral reproduction rate and its implications for the site frequency spectrum Shuai, Yubo Probability Quantitative Methods 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. |
| title | Transition in the ancestral reproduction rate and its implications for the site frequency spectrum |
| topic | Probability Quantitative Methods |
| url | https://arxiv.org/abs/2402.16306 |