Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep

Detalhes bibliográficos
Autor(a) principal: Torres, R.A.
Data de Publicação: 2016
Outros Autores: Lopes, P.S., Sarmento, J.L.R., Sousa, W.H., Lôbo, R.N.B., Albuquerque, L.G., Santos, N.P.S., Bignard, A.B.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: LOCUS Repositório Institucional da UFV
Texto Completo: http://dx.doi.org/10.4238/gmr.15025749
http://www.locus.ufv.br/handle/123456789/12943
Resumo: Polynomial functions of different orders were used to model random effects associated with weight of Santa Ines sheep from birth to 196 days. Fixed effects included in the models were contemporary groups, age of ewe at lambing, and fourth-order Legendre polynomials for age to represent the average growth curve. In the random part, functions of different orders were included to model variances associated with direct additive and maternal genetic effects and with permanent environmental effects of the animal and mother. Residual variance was fitted by a sixth-order ordinary polynomial for age. The higher the order of the functions, the better the model fit the data. According to the Akaike information criterion and likelihood ratio test, a continuous function of order, five, five, seven, and three for direct additive genetic, maternal genetic, animal permanent environmental, and maternal permanent environmental effects (k = 5573), respectively, was sufficient to model changes in (co)variances with age. However, a more parsimonious model of order three, three, five, and three (k = 3353) was suggested based on Schwarz’s Bayesian information criterion for the same effects. Since it was a more flexible model, model k = 5573 provided inconsistent genetic parameter estimates when compared to the biologically expected result. Predicted breeding values obtained with models k = 3353 and k = 5573 differed, especially at young ages. Model k = 3353 adequately fit changes in variances and covariances with time, and may be used to describe changes in variances with age in the Santa Ines sheep studied
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spelling Torres, R.A.Lopes, P.S.Sarmento, J.L.R.Sousa, W.H.Lôbo, R.N.B.Albuquerque, L.G.Santos, N.P.S.Bignard, A.B.2017-11-09T11:23:21Z2017-11-09T11:23:21Z2016-06-2116765680http://dx.doi.org/10.4238/gmr.15025749http://www.locus.ufv.br/handle/123456789/12943Polynomial functions of different orders were used to model random effects associated with weight of Santa Ines sheep from birth to 196 days. Fixed effects included in the models were contemporary groups, age of ewe at lambing, and fourth-order Legendre polynomials for age to represent the average growth curve. In the random part, functions of different orders were included to model variances associated with direct additive and maternal genetic effects and with permanent environmental effects of the animal and mother. Residual variance was fitted by a sixth-order ordinary polynomial for age. The higher the order of the functions, the better the model fit the data. According to the Akaike information criterion and likelihood ratio test, a continuous function of order, five, five, seven, and three for direct additive genetic, maternal genetic, animal permanent environmental, and maternal permanent environmental effects (k = 5573), respectively, was sufficient to model changes in (co)variances with age. However, a more parsimonious model of order three, three, five, and three (k = 3353) was suggested based on Schwarz’s Bayesian information criterion for the same effects. Since it was a more flexible model, model k = 5573 provided inconsistent genetic parameter estimates when compared to the biologically expected result. Predicted breeding values obtained with models k = 3353 and k = 5573 differed, especially at young ages. Model k = 3353 adequately fit changes in variances and covariances with time, and may be used to describe changes in variances with age in the Santa Ines sheep studiedengGenetics and Molecular Research15 (2), gmr.1502574, June 2016Covariance functionGenetic correlationGrowth traitsLegendre polynomialsSanta Inês sheepRandom regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheepinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfinfo:eu-repo/semantics/openAccessreponame:LOCUS Repositório Institucional da UFVinstname:Universidade Federal de Viçosa (UFV)instacron:UFVORIGINALgmr5749_1.pdfgmr5749_1.pdftexto completoapplication/pdf1373435https://locus.ufv.br//bitstream/123456789/12943/1/gmr5749_1.pdf803443039795cf9ab5dccbf32a8cdff6MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://locus.ufv.br//bitstream/123456789/12943/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52THUMBNAILgmr5749_1.pdf.jpggmr5749_1.pdf.jpgIM Thumbnailimage/jpeg4259https://locus.ufv.br//bitstream/123456789/12943/3/gmr5749_1.pdf.jpgab4d08bd84d682904697a74ed0313620MD53123456789/129432017-11-09 22:00:30.12oai:locus.ufv.br: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Repositório InstitucionalPUBhttps://www.locus.ufv.br/oai/requestfabiojreis@ufv.bropendoar:21452017-11-10T01:00:30LOCUS Repositório Institucional da UFV - Universidade Federal de Viçosa (UFV)false
dc.title.en.fl_str_mv Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
title Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
spellingShingle Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
Torres, R.A.
Covariance function
Genetic correlation
Growth traits
Legendre polynomials
Santa Inês sheep
title_short Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
title_full Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
title_fullStr Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
title_full_unstemmed Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
title_sort Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
author Torres, R.A.
author_facet Torres, R.A.
Lopes, P.S.
Sarmento, J.L.R.
Sousa, W.H.
Lôbo, R.N.B.
Albuquerque, L.G.
Santos, N.P.S.
Bignard, A.B.
author_role author
author2 Lopes, P.S.
Sarmento, J.L.R.
Sousa, W.H.
Lôbo, R.N.B.
Albuquerque, L.G.
Santos, N.P.S.
Bignard, A.B.
author2_role author
author
author
author
author
author
author
dc.contributor.author.fl_str_mv Torres, R.A.
Lopes, P.S.
Sarmento, J.L.R.
Sousa, W.H.
Lôbo, R.N.B.
Albuquerque, L.G.
Santos, N.P.S.
Bignard, A.B.
dc.subject.pt-BR.fl_str_mv Covariance function
Genetic correlation
Growth traits
Legendre polynomials
Santa Inês sheep
topic Covariance function
Genetic correlation
Growth traits
Legendre polynomials
Santa Inês sheep
description Polynomial functions of different orders were used to model random effects associated with weight of Santa Ines sheep from birth to 196 days. Fixed effects included in the models were contemporary groups, age of ewe at lambing, and fourth-order Legendre polynomials for age to represent the average growth curve. In the random part, functions of different orders were included to model variances associated with direct additive and maternal genetic effects and with permanent environmental effects of the animal and mother. Residual variance was fitted by a sixth-order ordinary polynomial for age. The higher the order of the functions, the better the model fit the data. According to the Akaike information criterion and likelihood ratio test, a continuous function of order, five, five, seven, and three for direct additive genetic, maternal genetic, animal permanent environmental, and maternal permanent environmental effects (k = 5573), respectively, was sufficient to model changes in (co)variances with age. However, a more parsimonious model of order three, three, five, and three (k = 3353) was suggested based on Schwarz’s Bayesian information criterion for the same effects. Since it was a more flexible model, model k = 5573 provided inconsistent genetic parameter estimates when compared to the biologically expected result. Predicted breeding values obtained with models k = 3353 and k = 5573 differed, especially at young ages. Model k = 3353 adequately fit changes in variances and covariances with time, and may be used to describe changes in variances with age in the Santa Ines sheep studied
publishDate 2016
dc.date.issued.fl_str_mv 2016-06-21
dc.date.accessioned.fl_str_mv 2017-11-09T11:23:21Z
dc.date.available.fl_str_mv 2017-11-09T11:23:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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dc.identifier.uri.fl_str_mv http://dx.doi.org/10.4238/gmr.15025749
http://www.locus.ufv.br/handle/123456789/12943
dc.identifier.issn.none.fl_str_mv 16765680
identifier_str_mv 16765680
url http://dx.doi.org/10.4238/gmr.15025749
http://www.locus.ufv.br/handle/123456789/12943
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartofseries.pt-BR.fl_str_mv 15 (2), gmr.1502574, June 2016
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dc.publisher.none.fl_str_mv Genetics and Molecular Research
publisher.none.fl_str_mv Genetics and Molecular Research
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