In this note, we present the continuous-time Markov rate matrix that models identity by descent (ibd) patterns among four chromosomes in a population. The equilibrium distribution of this Markov process along a chromosome is the set of 4-gene state probabilities given by the Ewens sampling formula. This model will facilitate inference of identity by descent among the four chromosomes of a pair of individuals, using data at dense SNP loci among which there may be linkage disequilibrium.
Description
The IBD process along four chromosomes. [Theor Popul Biol. 2008] - PubMed - NCBI
%0 Journal Article
%1 thompson2008process
%A Thompson, E A
%D 2008
%J Theor Popul Biol
%K IBD markov_approximation markov_processes
%N 3
%P 369-373
%R 10.1016/j.tpb.2007.11.011
%T The IBD process along four chromosomes
%U http://www.ncbi.nlm.nih.gov/pubmed/18282591
%V 73
%X In this note, we present the continuous-time Markov rate matrix that models identity by descent (ibd) patterns among four chromosomes in a population. The equilibrium distribution of this Markov process along a chromosome is the set of 4-gene state probabilities given by the Ewens sampling formula. This model will facilitate inference of identity by descent among the four chromosomes of a pair of individuals, using data at dense SNP loci among which there may be linkage disequilibrium.
@article{thompson2008process,
abstract = {In this note, we present the continuous-time Markov rate matrix that models identity by descent (ibd) patterns among four chromosomes in a population. The equilibrium distribution of this Markov process along a chromosome is the set of 4-gene state probabilities given by the Ewens sampling formula. This model will facilitate inference of identity by descent among the four chromosomes of a pair of individuals, using data at dense SNP loci among which there may be linkage disequilibrium.},
added-at = {2012-07-13T17:58:10.000+0200},
author = {Thompson, E A},
biburl = {https://www.bibsonomy.org/bibtex/26f45dac526aaee281ae461a345eae599/peter.ralph},
description = {The IBD process along four chromosomes. [Theor Popul Biol. 2008] - PubMed - NCBI},
doi = {10.1016/j.tpb.2007.11.011},
interhash = {af90ccacc7ffc8fb25fc6a8f30ac4187},
intrahash = {6f45dac526aaee281ae461a345eae599},
journal = {Theor Popul Biol},
keywords = {IBD markov_approximation markov_processes},
month = may,
number = 3,
pages = {369-373},
pmid = {18282591},
timestamp = {2015-01-20T22:35:53.000+0100},
title = {The {IBD} process along four chromosomes},
url = {http://www.ncbi.nlm.nih.gov/pubmed/18282591},
volume = 73,
year = 2008
}