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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Format: | Article |
Language: | English |
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Public Library of Science (PLoS)
2013-01-01
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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. |
first_indexed | 2024-12-17T15:25:13Z |
format | Article |
id | doaj.art-7d83454e345e43c59f02dd3daf2b8527 |
institution | Directory Open Access Journal |
issn | 1932-6203 |
language | English |
last_indexed | 2024-12-17T15:25:13Z |
publishDate | 2013-01-01 |
publisher | Public Library of Science (PLoS) |
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series | PLoS ONE |
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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