The transition distribution of a sample from a Wright-Fisher diffusion with general small mutation rates

Autor:	Burden, Conrad J., Griffiths, Robert C.
Rok vydání:	2018
Předmět:	Quantitative Biology - Populations and Evolution
Druh dokumentu:	Working Paper
Popis:	The transition distribution of a sample taken from a Wright-Fisher diffusion with general small mutation rates is found using a coalescent approach. The approximation is equivalent to having at most one mutation in the coalescent tree of the sample up to the most recent common ancestor with additional mutations occurring on the lineage from the most recent common ancestor to the time origin if complete coalescence occurs before the origin. The sampling distribution leads to an approximation for the transition density in the diffusion with small mutation rates. This new solution has interest because the transition density in a Wright-Fisher diffusion with general mutation rates is not known. Comment: 26 pages, 3 figures, Sections 2 and 7 expanded
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1812.05236 Zobrazit plný text záznamu View this record from Arxiv