Data provided by the Brazilian Zebu Breeders Association (ABCZ), consisting of 21,762 records from 4,221 animals of Tabapuã cattle, weighted from birth to 550 days of age, were used to estimate covariance functions by random regression models using Legendre polynomials of order two to five. Models included the direct and maternal genetic, animal and maternal permanent environmental random effects and compared by Schwarz´s Bayesian information criteria (BIC) and Akaike´s information criteria (AIC). Both criterions suggested the model including direct genetic, […]