%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 }