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Comparison of some mathematical models for the adjustment of individual lactation curves of Caracu cows

The present study was carried out to test the goodness of fit of different lactation curve functions for 7239 Caracu cows, belonging to Chiqueirão farm, Poços de Caldas - MG, weekly recorded from 1978 to 1988. The functions used to describe the lactation curves were: linear hyperbolic function (LHF); logarithmic quadratic function (LQF); incomplete gamma function (IGF) and inverse polynomial function (IPF). Parameters were estimated by iterative methods. The criteria used to compare the models were the adjusted coefficient of determination (R²A), Durbin-Watson statistic (DW) and the estimated means and standard deviations estimated for the parameters and function of parameters. All R²A were higher than 0.90 for the average curves. When fitted to individual lactation, the functions showed lack of fit. Goodness of fit, according to R²A>0.80 were observed for 25.2%; 39.1%; 31.1% and 28.4% of LHF, LQF, IGF and IPF functions, respectively. Durbin-Watson statistics estimated goodness of fit for 29.4%; 54.9%; 34.9% and 29.6% of LHF, LQF, IGF and IPF functions, respectively. All models showed high CV for the parameters and function of parameters. The results indicated a wide variation in the shape of individual lactation curves. There was a great number of atypical curves with observed peaks before calving or after the end of lactation.

Cattle; milk yield; peak production; persistency


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