1. Random regression models for the estimation of genetic and environmental covariance functions for growth traits in Santa Ines sheep
- Author
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Natanael Pereira da Silva Santos, José Lindenberg Rocha Sarmento, Paulo Sávio Lopes, Robledo de Almeida Torres, A B Bignard, Lucia Galvão de Albuquerque, Raimundo Nonato Braga Lôbo, Wandrick Hauss de Sousa, Universidade Federal do Piauí (UFPI) - Teresina, PI, Brasil, Universidade Federal de Viçosa (UFV) - Viçosa, MG, Brasil, EMEPA - João Pessoa, PB, Brasil, RAIMUNDO NONATO BRAGA LOBO, CNPC, Universidade Estadual Paulista (UNESP) - Jaboticabal, SP, Brasil, UFV - Viçosa, MG, Brazil, UFPI - Bom Jesus, PI, Brasil, and UNESP - Jaboticabal, SP, Brasil.
- Subjects
0301 basic medicine ,Genetic correlation ,growth traits ,Covariance function ,Parâmetro genético ,Curva de crescimento ,Growth curve (statistics) ,Polinômio ordinário ,03 medical and health sciences ,Quantitative Trait, Heritable ,Growth curve ,Bayesian information criterion ,Statistics ,Genetics ,Animals ,Body Size ,Molecular Biology ,Mathematics ,Sheep ,Models, Genetic ,Ovino ,Ecology ,0402 animal and dairy science ,Genetic Variation ,Genetic parameters ,04 agricultural and veterinary sciences ,General Medicine ,Covariance ,Santa Inês sheep ,Random effects model ,Melhoramento genético animal ,040201 dairy & animal science ,Raça Santa Inês ,Polinômios de Legendre ,030104 developmental biology ,Likelihood-ratio test ,Legendre polynomials ,Gene-Environment Interaction ,Genética animal ,Akaike information criterion ,Correlação genética ,Growth traits - Abstract
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. Made available in DSpace on 2018-01-26T23:43:14Z (GMT). No. of bitstreams: 1 CNPC2016Random.pdf: 1373435 bytes, checksum: 803443039795cf9ab5dccbf32a8cdff6 (MD5) Previous issue date: 2016-06-23
- Published
- 2016