General formulae are derived for the probability density and expected age of a mutation of frequency x in a population, and similarly for a mutation with b copies in a sample of n genes. A general formula is derived for the frequency spectrum of a mutation in a sample. Variable population size models are included. Results are derived in two frameworks: diffusion process models for the frequency of the mutation; and birth and death process models.
The coalescent structure within the mutant gene group and the non-mutant group is considered.
Description
ScienceDirect - Theoretical Population Biology : The frequency spectrum of a mutation, and its age, in a general diffusion model
%0 Journal Article
%1 griffiths2003generaldiffusion
%A Griffiths, R. C.
%D 2003
%J Theoretical Population Biology
%K Green_function age_of_allele diffusions review selection site_frequency_spectrum
%N 2
%P 241 - 251
%R 10.1016/S0040-5809(03)00075-3
%T The frequency spectrum of a mutation, and its age, in a general diffusion model
%U http://www.sciencedirect.com/science/article/B6WXD-4909DXR-1/2/670352ac096b44ff4906f0b7f24a123c
%V 64
%X General formulae are derived for the probability density and expected age of a mutation of frequency x in a population, and similarly for a mutation with b copies in a sample of n genes. A general formula is derived for the frequency spectrum of a mutation in a sample. Variable population size models are included. Results are derived in two frameworks: diffusion process models for the frequency of the mutation; and birth and death process models.
The coalescent structure within the mutant gene group and the non-mutant group is considered.
@article{griffiths2003generaldiffusion,
abstract = {General formulae are derived for the probability density and expected age of a mutation of frequency x in a population, and similarly for a mutation with b copies in a sample of n genes. A general formula is derived for the frequency spectrum of a mutation in a sample. Variable population size models are included. Results are derived in two frameworks: diffusion process models for the frequency of the mutation; and birth and death process models.
The coalescent structure within the mutant gene group and the non-mutant group is considered.},
added-at = {2010-07-30T18:55:21.000+0200},
author = {Griffiths, R. C.},
biburl = {https://www.bibsonomy.org/bibtex/2501b312b75abd264a4932894551bb1ad/peter.ralph},
description = {ScienceDirect - Theoretical Population Biology : The frequency spectrum of a mutation, and its age, in a general diffusion model},
doi = {10.1016/S0040-5809(03)00075-3},
interhash = {1732791a4faecf19406f401868a5fece},
intrahash = {501b312b75abd264a4932894551bb1ad},
issn = {0040-5809},
journal = {Theoretical Population Biology},
keywords = {Green_function age_of_allele diffusions review selection site_frequency_spectrum},
number = 2,
pages = {241 - 251},
timestamp = {2010-07-30T18:55:21.000+0200},
title = {The frequency spectrum of a mutation, and its age, in a general diffusion model},
url = {http://www.sciencedirect.com/science/article/B6WXD-4909DXR-1/2/670352ac096b44ff4906f0b7f24a123c},
volume = 64,
year = 2003
}