Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil

Detalhes bibliográficos
Autor(a) principal: Cavalcante, Diego Helcias
Data de Publicação: 2019
Outros Autores: Sousa Júnior, Severino Cavalcante, Silva, Luciano Pinheiro da, Malhado, Carlos Henrique Mendes, Martins Filho, Raimundo, Campêlo, José Elivalto Guimarães, Santos, Karina Rodrigues
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Semina. Ciências Agrárias (Online)
Texto Completo: https://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/32783
Resumo: This study aimed to compare random regression models fitted by Legendre orthogonal polynomials and determine which best fits changes in Nellore cattle growth parameters. Age polynomial functions of different orders were evaluated using a random-effect modeling associated with a genetic study of cattle growth curves. For this purpose, weight records (15,148) were performed in Polled Nellore bovines (3,115), aged between 1 and 660 days, reared in northern Brazil and born between 1995 and 2010. The fixed effects of analytical models comprised age-matched groups, heifer calving age (linear and quadratic), and fourth-order Legendre age polynomial (cubic), depicting the mean growth curve. Besides, different order functions were considered for random effects, so that (co) variance associated with genetic effects (direct and maternal) and permanent environmental effects (animal and maternal) could be modeled. Residual variance was fitted by six heterogeneous classes throughout the analyzed period. According to AIC and BIC criteria, the model 6333 allowed the fitting of changes in variance and covariance over time (genetic and environmental). Thus, this model can be used to describe age-related changes in Polled Nellore cattle reared in northern Brazil.
id UEL-11_a348dc1c0fe6c37784eaa6aee33dc475
oai_identifier_str oai:ojs.pkp.sfu.ca:article/32783
network_acronym_str UEL-11
network_name_str Semina. Ciências Agrárias (Online)
repository_id_str
spelling Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern BrazilFunções de covariâncias sob polinômios de Legendre para modelagem do crescimento de bovinos da raça Nelore Mocho da região Norte do BrasilGenetic parametersGrowth trackLinear modelsRandom regression models.Modelos de regressão aleatóriaModelos linearesParâmetros genéticosTrajetória de crescimento.This study aimed to compare random regression models fitted by Legendre orthogonal polynomials and determine which best fits changes in Nellore cattle growth parameters. Age polynomial functions of different orders were evaluated using a random-effect modeling associated with a genetic study of cattle growth curves. For this purpose, weight records (15,148) were performed in Polled Nellore bovines (3,115), aged between 1 and 660 days, reared in northern Brazil and born between 1995 and 2010. The fixed effects of analytical models comprised age-matched groups, heifer calving age (linear and quadratic), and fourth-order Legendre age polynomial (cubic), depicting the mean growth curve. Besides, different order functions were considered for random effects, so that (co) variance associated with genetic effects (direct and maternal) and permanent environmental effects (animal and maternal) could be modeled. Residual variance was fitted by six heterogeneous classes throughout the analyzed period. According to AIC and BIC criteria, the model 6333 allowed the fitting of changes in variance and covariance over time (genetic and environmental). Thus, this model can be used to describe age-related changes in Polled Nellore cattle reared in northern Brazil.Objetivou-se comparar diferentes modelos de regressão aleatória ajustados por polinômios ortogonais de Legendre com a finalidade de determinar o mais adequado para descrever mudanças nos parâmetros de avaliação do crescimento de bovinos Nelore. Funções polinomiais da idade de diferentes ordens foram avaliadas na modelagem dos efeitos aleatórios associados ao estudo genético da curva de crescimento de bovinos. Utilizaram-se 15148 registros de pesos de 3115 de bovinos Nelore Mocho, com idade entre 1 e 660 dias, criados na região norte do Brasil e nascidos entre os anos de 1995 e 2010. Os efeitos fixos incluídos nos modelos de análise foram: grupos de contemporâneos, a idade da vaca ao parto (efeito linear e quadrático) e os polinômios de Legendre da idade de quarta ordem (cúbica) para representar a curva média de crescimento. Na parte aleatória, consideraram-se funções de diferentes ordens para modelar as variâncias associadas aos efeitos genéticos aditivos direto e materno e aos efeitos de ambiente permanente do animal e da mãe. A variância residual foi ajustada por meio de seis classes heterogêneas, distribuídas ao longo do período analisado. De acordo com o valor do critério AIC e BIC o modelo com ordens 6333 (para efeitos genético direto e materno; e ambiente permanente direto e materno, respectivamente), permitiu ajustar as mudanças das variâncias e covariâncias com o tempo, podendo ser utilizado para descrever as mudanças nas variâncias com a idade dos bovinos Nelore Mocho criados na região Norte do Brasil.UEL2019-04-15info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionPesquisa científicaapplication/pdfhttps://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/3278310.5433/1679-0359.2019v40n2p781Semina: Ciências Agrárias; Vol. 40 No. 2 (2019); 781-792Semina: Ciências Agrárias; v. 40 n. 2 (2019); 781-7921679-03591676-546Xreponame:Semina. Ciências Agrárias (Online)instname:Universidade Estadual de Londrina (UEL)instacron:UELenghttps://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/32783/25263Copyright (c) 2019 Semina: Ciências Agráriashttp://creativecommons.org/licenses/by-nc/4.0info:eu-repo/semantics/openAccessCavalcante, Diego HelciasSousa Júnior, Severino CavalcanteSilva, Luciano Pinheiro daMalhado, Carlos Henrique MendesMartins Filho, RaimundoCampêlo, José Elivalto GuimarãesSantos, Karina Rodrigues2022-10-19T14:25:40Zoai:ojs.pkp.sfu.ca:article/32783Revistahttp://www.uel.br/revistas/uel/index.php/semagrariasPUBhttps://ojs.uel.br/revistas/uel/index.php/semagrarias/oaisemina.agrarias@uel.br1679-03591676-546Xopendoar:2022-10-19T14:25:40Semina. Ciências Agrárias (Online) - Universidade Estadual de Londrina (UEL)false
dc.title.none.fl_str_mv Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
Funções de covariâncias sob polinômios de Legendre para modelagem do crescimento de bovinos da raça Nelore Mocho da região Norte do Brasil
title Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
spellingShingle Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
Cavalcante, Diego Helcias
Genetic parameters
Growth track
Linear models
Random regression models.
Modelos de regressão aleatória
Modelos lineares
Parâmetros genéticos
Trajetória de crescimento.
title_short Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
title_full Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
title_fullStr Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
title_full_unstemmed Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
title_sort Covariance function of Legendre polynomials for the modeling of Polled Nellore cattle growth in northern Brazil
author Cavalcante, Diego Helcias
author_facet Cavalcante, Diego Helcias
Sousa Júnior, Severino Cavalcante
Silva, Luciano Pinheiro da
Malhado, Carlos Henrique Mendes
Martins Filho, Raimundo
Campêlo, José Elivalto Guimarães
Santos, Karina Rodrigues
author_role author
author2 Sousa Júnior, Severino Cavalcante
Silva, Luciano Pinheiro da
Malhado, Carlos Henrique Mendes
Martins Filho, Raimundo
Campêlo, José Elivalto Guimarães
Santos, Karina Rodrigues
author2_role author
author
author
author
author
author
dc.contributor.author.fl_str_mv Cavalcante, Diego Helcias
Sousa Júnior, Severino Cavalcante
Silva, Luciano Pinheiro da
Malhado, Carlos Henrique Mendes
Martins Filho, Raimundo
Campêlo, José Elivalto Guimarães
Santos, Karina Rodrigues
dc.subject.por.fl_str_mv Genetic parameters
Growth track
Linear models
Random regression models.
Modelos de regressão aleatória
Modelos lineares
Parâmetros genéticos
Trajetória de crescimento.
topic Genetic parameters
Growth track
Linear models
Random regression models.
Modelos de regressão aleatória
Modelos lineares
Parâmetros genéticos
Trajetória de crescimento.
description This study aimed to compare random regression models fitted by Legendre orthogonal polynomials and determine which best fits changes in Nellore cattle growth parameters. Age polynomial functions of different orders were evaluated using a random-effect modeling associated with a genetic study of cattle growth curves. For this purpose, weight records (15,148) were performed in Polled Nellore bovines (3,115), aged between 1 and 660 days, reared in northern Brazil and born between 1995 and 2010. The fixed effects of analytical models comprised age-matched groups, heifer calving age (linear and quadratic), and fourth-order Legendre age polynomial (cubic), depicting the mean growth curve. Besides, different order functions were considered for random effects, so that (co) variance associated with genetic effects (direct and maternal) and permanent environmental effects (animal and maternal) could be modeled. Residual variance was fitted by six heterogeneous classes throughout the analyzed period. According to AIC and BIC criteria, the model 6333 allowed the fitting of changes in variance and covariance over time (genetic and environmental). Thus, this model can be used to describe age-related changes in Polled Nellore cattle reared in northern Brazil.
publishDate 2019
dc.date.none.fl_str_mv 2019-04-15
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Pesquisa científica
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/32783
10.5433/1679-0359.2019v40n2p781
url https://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/32783
identifier_str_mv 10.5433/1679-0359.2019v40n2p781
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://ojs.uel.br/revistas/uel/index.php/semagrarias/article/view/32783/25263
dc.rights.driver.fl_str_mv Copyright (c) 2019 Semina: Ciências Agrárias
http://creativecommons.org/licenses/by-nc/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2019 Semina: Ciências Agrárias
http://creativecommons.org/licenses/by-nc/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv UEL
publisher.none.fl_str_mv UEL
dc.source.none.fl_str_mv Semina: Ciências Agrárias; Vol. 40 No. 2 (2019); 781-792
Semina: Ciências Agrárias; v. 40 n. 2 (2019); 781-792
1679-0359
1676-546X
reponame:Semina. Ciências Agrárias (Online)
instname:Universidade Estadual de Londrina (UEL)
instacron:UEL
instname_str Universidade Estadual de Londrina (UEL)
instacron_str UEL
institution UEL
reponame_str Semina. Ciências Agrárias (Online)
collection Semina. Ciências Agrárias (Online)
repository.name.fl_str_mv Semina. Ciências Agrárias (Online) - Universidade Estadual de Londrina (UEL)
repository.mail.fl_str_mv semina.agrarias@uel.br
_version_ 1799306079675351040

Registros relacionados