Variance and covariance of actual relationships between relatives at one locus.

The relationship between pairs of individuals is an important topic in many areas of population and quantitative genetics. It is usually measured as the proportion of the genome identical by descent shared by the pair and it can be inferred from pedigree information. But there is a variance in actua...

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Main Authors: Luis Alberto Garcia-Cortes, Andres Legarra, Claude Chevalet, Miguel Angel Toro
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2013-01-01
Series:PLoS ONE
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23451134/?tool=EBI
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author Luis Alberto Garcia-Cortes
Andres Legarra
Claude Chevalet
Miguel Angel Toro
author_facet Luis Alberto Garcia-Cortes
Andres Legarra
Claude Chevalet
Miguel Angel Toro
author_sort Luis Alberto Garcia-Cortes
collection DOAJ
description The relationship between pairs of individuals is an important topic in many areas of population and quantitative genetics. It is usually measured as the proportion of the genome identical by descent shared by the pair and it can be inferred from pedigree information. But there is a variance in actual relationships as a consequence of mendelian sampling, whose general formula has not been developed. The goal of this work is to develop this general formula for the one-locus situation,. We provide simple expressions for the variances and covariances of all actual relationships in an arbitrary complex pedigree. The proposed method relies on the use of the nine identity coefficients and the generalized relationship coefficients; formulas have been checked by computer simulation. Finally two examples for a short pedigree of dogs and a long pedigree of sheep are given.
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spelling doaj.art-7d83454e345e43c59f02dd3daf2b85272022-12-21T21:43:17ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0182e5700310.1371/journal.pone.0057003Variance and covariance of actual relationships between relatives at one locus.Luis Alberto Garcia-CortesAndres LegarraClaude ChevaletMiguel Angel ToroThe relationship between pairs of individuals is an important topic in many areas of population and quantitative genetics. It is usually measured as the proportion of the genome identical by descent shared by the pair and it can be inferred from pedigree information. But there is a variance in actual relationships as a consequence of mendelian sampling, whose general formula has not been developed. The goal of this work is to develop this general formula for the one-locus situation,. We provide simple expressions for the variances and covariances of all actual relationships in an arbitrary complex pedigree. The proposed method relies on the use of the nine identity coefficients and the generalized relationship coefficients; formulas have been checked by computer simulation. Finally two examples for a short pedigree of dogs and a long pedigree of sheep are given.https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23451134/?tool=EBI
spellingShingle Luis Alberto Garcia-Cortes
Andres Legarra
Claude Chevalet
Miguel Angel Toro
Variance and covariance of actual relationships between relatives at one locus.
PLoS ONE
title Variance and covariance of actual relationships between relatives at one locus.
title_full Variance and covariance of actual relationships between relatives at one locus.
title_fullStr Variance and covariance of actual relationships between relatives at one locus.
title_full_unstemmed Variance and covariance of actual relationships between relatives at one locus.
title_short Variance and covariance of actual relationships between relatives at one locus.
title_sort variance and covariance of actual relationships between relatives at one locus
url https://www.ncbi.nlm.nih.gov/pmc/articles/pmid/23451134/?tool=EBI
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AT miguelangeltoro varianceandcovarianceofactualrelationshipsbetweenrelativesatonelocus