R. Griffiths. Selected Proceedings of the Sheffield Symposium on Applied Probability, volume 18 of Lecture Notes--Monograph Series, page pp. 100-117. Hayward, CA, Institute of Mathematical Statistics, (1991)
Abstract
In a population genetics two-locus model with recombination an offspring has either a single parent gene, or is a recombinant from two parent genes. The number of ancestors, backward in time, of a sample of genes can thus decrease or increase and is found to be a birth and death process. Instead of a one-locus ancestral tree the ancestral paths of a sample of gene pairs are described by a graph with leaves as the sample genes and an eventual common ancestor where all paths from the leaves lead. In this paper properties of the two-locus ancestral graph and the two marginal ancestral trees are studied.
%0 Conference Paper
%1 griffiths1991twolocus
%A Griffiths, R. C.
%B Selected Proceedings of the Sheffield Symposium on Applied Probability
%C Hayward, CA
%D 1991
%E Basawa, Ishwar V.
%E Taylor, Robert L.
%I Institute of Mathematical Statistics
%K ARG coalescent_theory linkage_disequilibrium original
%P pp. 100-117
%T The Two-Locus Ancestral Graph
%U http://projecteuclid.org/euclid.lnms/1215459289
%V 18
%X In a population genetics two-locus model with recombination an offspring has either a single parent gene, or is a recombinant from two parent genes. The number of ancestors, backward in time, of a sample of genes can thus decrease or increase and is found to be a birth and death process. Instead of a one-locus ancestral tree the ancestral paths of a sample of gene pairs are described by a graph with leaves as the sample genes and an eventual common ancestor where all paths from the leaves lead. In this paper properties of the two-locus ancestral graph and the two marginal ancestral trees are studied.
@inproceedings{griffiths1991twolocus,
abstract = {In a population genetics two-locus model with recombination an offspring has either a single parent gene, or is a recombinant from two parent genes. The number of ancestors, backward in time, of a sample of genes can thus decrease or increase and is found to be a birth and death process. Instead of a one-locus ancestral tree the ancestral paths of a sample of gene pairs are described by a graph with leaves as the sample genes and an eventual common ancestor where all paths from the leaves lead. In this paper properties of the two-locus ancestral graph and the two marginal ancestral trees are studied.},
added-at = {2014-01-05T23:09:35.000+0100},
address = {Hayward, CA},
author = {Griffiths, R. C.},
biburl = {https://www.bibsonomy.org/bibtex/2eb4f045dbac531e96bae48dcb386536d/peter.ralph},
booktitle = {Selected Proceedings of the Sheffield Symposium on Applied Probability},
editor = {Basawa, Ishwar V. and Taylor, Robert L.},
interhash = {8a368d3697c1fd891f94caea116f0eca},
intrahash = {eb4f045dbac531e96bae48dcb386536d},
issn = {07492170},
keywords = {ARG coalescent_theory linkage_disequilibrium original},
language = {English},
pages = {pp. 100-117},
publisher = {Institute of Mathematical Statistics},
series = {Lecture Notes--Monograph Series},
timestamp = {2020-05-16T01:01:10.000+0200},
title = {The Two-Locus Ancestral Graph},
url = {http://projecteuclid.org/euclid.lnms/1215459289},
volume = 18,
year = 1991
}