Individual lactation curves in Siboney dairy cows of Cuba
The objective was to study and to model the individual lactation curves in Siboney cows comparing four mathematical models. In total, 31,631 test day milk production records (TD) of 3,697 lactations (1 to 5) from 2,632 Siboney cows of Cuba (5/8 Holstein, 3/8 Cebu Cuban) monthly recorded between 1994 and 2003 were adjusted using the functions of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials. The parameters were estimated using nonlinear regressions and the goodness of fit was measured by the adjusted coefficient of determination (R2A). Values of R2A> 0.75 in 23, 24, 28, and 36 % of the lactations for the models of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials, respectively, were obtained. The models of Wood and Wilmink described four types of curves and the models of Ali-Schaeffer and the Legendre polynomials 17 and 20 for 32 possible theoretical groups. The correlations among the parameters of Ali-Schaeffer function were higher than that estimated for the Legendre polynomials. The proposed functions represented the different shapes among lactation curves and in particular the five parameters models detected higher diversity related to the rest of the function. This pointed that even if additional detected shapes can be considered as derivations of the two classical groups of typical or atypical curves, this practice could compromise the variability among lactation curves inside a herd, therefore further studies are needed.
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Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias
2016
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rev-remexcp-article41472017-07-17T18:33:53Z Individual lactation curves in Siboney dairy cows of Cuba Curvas de lactancia individuales en vacas Siboney de Cuba Palacios Espinosa, Alejandro González-Peña Fundora, Dianelys Guerra Iglesias, Danilo Espinoza Villavicencio, José Luis Ortega Pérez, Ricardo Guillén Trujillo, Ariel Ávila Serrano, Narciso Cows; Lactation curves; Mathematical models Vacas; Lactancia; Curvas; Modelos matemáticos The objective was to study and to model the individual lactation curves in Siboney cows comparing four mathematical models. In total, 31,631 test day milk production records (TD) of 3,697 lactations (1 to 5) from 2,632 Siboney cows of Cuba (5/8 Holstein, 3/8 Cebu Cuban) monthly recorded between 1994 and 2003 were adjusted using the functions of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials. The parameters were estimated using nonlinear regressions and the goodness of fit was measured by the adjusted coefficient of determination (R2A). Values of R2A> 0.75 in 23, 24, 28, and 36 % of the lactations for the models of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials, respectively, were obtained. The models of Wood and Wilmink described four types of curves and the models of Ali-Schaeffer and the Legendre polynomials 17 and 20 for 32 possible theoretical groups. The correlations among the parameters of Ali-Schaeffer function were higher than that estimated for the Legendre polynomials. The proposed functions represented the different shapes among lactation curves and in particular the five parameters models detected higher diversity related to the rest of the function. This pointed that even if additional detected shapes can be considered as derivations of the two classical groups of typical or atypical curves, this practice could compromise the variability among lactation curves inside a herd, therefore further studies are needed. El objetivo fue estudiar y modelar las curvas de lactancia individuales en vacas Siboney, comparando cuatro modelos matemáticos. En total, 31,631 registros de producción de leche del día de control (PDC) de 3,697 lactancias (1 a 5) provenientes de 2,632 vacas Siboney de Cuba (5/8 Holstein 3/8 Cebú Cubano) registrados mensualmente entre 1994 y 2003 se ajustaron mediante las funciones de Wood, Wilmink, Ali-Schaeffer y Polinomios de Legendre. Los parámetros se estimaron usando regresiones no lineales y la bondad de ajuste se midió mediante el coeficiente de determinación ajustado (R2A). Se obtuvieron valores de R2A > 0.75 en 23, 24, 28 y 36 % de las lactancias para los modelos de Wood, Wilmink, Ali-Schaeffer y Polinomios de Legendre, respectivamente. Los modelos de Wood y Wilmink describieron cuatro tipos de curvas; y los modelos de Ali-Schaeffer y los Polinomios de Legendre 17 y 20, de los 32 grupos teóricos posibles. Las correlaciones entre los parámetros para la función de Ali-Schaeffer fueron superiores a las estimadas para los polinomios de Legendre. Las funciones propuestas representaron las diferentes formas entre curvas de lactancia y en especial, los modelos de cinco parámetros detectaron mayor diversidad que el resto de las funciones.Esto apunta que, aunque formas adicionales pueden considerarse como derivaciones de los dos grupos clásicos de curvas típicas o atípicas, esta práctica podría comprometer la variabilidad entre curvas de lactancia en un hato, por lo que serán necesarios más estudios. Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias 2016-02-17 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://cienciaspecuarias.inifap.gob.mx/index.php/Pecuarias/article/view/4147 10.22319/rmcp.v7i1.4147 Revista Mexicana de Ciencias Pecuarias; Vol. 7, Núm. 1 (2016): Enero-Marzo; 15-28 Revista Mexicana de Ciencias Pecuarias; Vol. 7, Núm. 1 (2016): Enero-Marzo; 15-28 2448-6698 2007-1124 spa https://cienciaspecuarias.inifap.gob.mx/index.php/Pecuarias/article/view/4147/3418 http://creativecommons.org/licenses/by-nc-sa/4.0 |
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Palacios Espinosa, Alejandro González-Peña Fundora, Dianelys Guerra Iglesias, Danilo Espinoza Villavicencio, José Luis Ortega Pérez, Ricardo Guillén Trujillo, Ariel Ávila Serrano, Narciso |
spellingShingle |
Palacios Espinosa, Alejandro González-Peña Fundora, Dianelys Guerra Iglesias, Danilo Espinoza Villavicencio, José Luis Ortega Pérez, Ricardo Guillén Trujillo, Ariel Ávila Serrano, Narciso Individual lactation curves in Siboney dairy cows of Cuba |
author_facet |
Palacios Espinosa, Alejandro González-Peña Fundora, Dianelys Guerra Iglesias, Danilo Espinoza Villavicencio, José Luis Ortega Pérez, Ricardo Guillén Trujillo, Ariel Ávila Serrano, Narciso |
author_sort |
Palacios Espinosa, Alejandro |
title |
Individual lactation curves in Siboney dairy cows of Cuba |
title_short |
Individual lactation curves in Siboney dairy cows of Cuba |
title_full |
Individual lactation curves in Siboney dairy cows of Cuba |
title_fullStr |
Individual lactation curves in Siboney dairy cows of Cuba |
title_full_unstemmed |
Individual lactation curves in Siboney dairy cows of Cuba |
title_sort |
individual lactation curves in siboney dairy cows of cuba |
description |
The objective was to study and to model the individual lactation curves in Siboney cows comparing four mathematical models. In total, 31,631 test day milk production records (TD) of 3,697 lactations (1 to 5) from 2,632 Siboney cows of Cuba (5/8 Holstein, 3/8 Cebu Cuban) monthly recorded between 1994 and 2003 were adjusted using the functions of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials. The parameters were estimated using nonlinear regressions and the goodness of fit was measured by the adjusted coefficient of determination (R2A). Values of R2A> 0.75 in 23, 24, 28, and 36 % of the lactations for the models of Wood, Wilmink, Ali-Schaeffer and Legendre polynomials, respectively, were obtained. The models of Wood and Wilmink described four types of curves and the models of Ali-Schaeffer and the Legendre polynomials 17 and 20 for 32 possible theoretical groups. The correlations among the parameters of Ali-Schaeffer function were higher than that estimated for the Legendre polynomials. The proposed functions represented the different shapes among lactation curves and in particular the five parameters models detected higher diversity related to the rest of the function. This pointed that even if additional detected shapes can be considered as derivations of the two classical groups of typical or atypical curves, this practice could compromise the variability among lactation curves inside a herd, therefore further studies are needed. |
publisher |
Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias |
publishDate |
2016 |
url |
https://cienciaspecuarias.inifap.gob.mx/index.php/Pecuarias/article/view/4147 |
work_keys_str_mv |
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