2011
DOI: 10.1590/s1516-35982011000200012
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Modeling of average growth curve in Santa Ines sheep using random regression models

Abstract: -Polynomial functions of age of different orders were evaluated in the modeling of the average growth trajectory in Santa Ines sheep in random regression models. Initially, the analyses were performed not considering the animal effect. Subsequently, the random regression analyses were performed including the random effects of the animal and its mother (genetic and permanent environment). The linear fit was lower, and the other orders were similar until near 100 days of age.The cubic function provided the close… Show more

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Cited by 7 publications
(3 citation statements)
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“…As the model utilized does not take the effects of permanent environment, they accumulate in the residue, inflating it and overestimating the environmental variance, which results in lower estimate of heritability. The same was observed by Sarmento et al (2011), when working with Santa Inês sheep, where the model that did not consider the effect of permanent environment presented heritability estimate higher than those which considered it.…”
Section: Resultssupporting
confidence: 71%
“…As the model utilized does not take the effects of permanent environment, they accumulate in the residue, inflating it and overestimating the environmental variance, which results in lower estimate of heritability. The same was observed by Sarmento et al (2011), when working with Santa Inês sheep, where the model that did not consider the effect of permanent environment presented heritability estimate higher than those which considered it.…”
Section: Resultssupporting
confidence: 71%
“…where, y ij is weight on the j th day of lamb i; F refers to a set of fixed effects consisting of contemporary group (1112 subclasses) and the covariate age of ewe at lambing (linear and quadratic effects); β m is the m th fixed regression coefficient for weight over the Legendre polynomial represented by a cubic function to model the average growth curve of the population, which was determined in a previous study (Sarmento et al, 2011); α im , γ im , δ im , and ρ im are direct additive genetic, maternal additive genetic, maternal permanent environmental, and animal permanent environmental regression coefficients, respectively, for lamb i; k a , k m , k q , and k c are the orders of fit of the corresponding Legendre polynomials, ranging from two to seven, which were used to determine the most appropriate order for each random effect; m φ is the m th Legendre polynomial function for standardized age (-1 < age < 1); and ε ij is the residual random effect.…”
Section: Methodsmentioning
confidence: 99%
“…The polynomial regression function has also been used in previous research in sheep and dairy cattle. Previous researchers concluded that the order of four (cubic) provides a better fit and better reflects the reality of the changes (Sarmento et al 2011). It does not overestimate body weight measurement compare to the non-linear model (Vijayakumar et al 2020).…”
Section: Resultsmentioning
confidence: 98%