Modeling lactation curves of Polish Holstein-Friesian cows. Part I: The accuracy of five lactation curve models

• Autorzy: Otwinowska-Mindur A. , Ptak E. , Jagusiak W. , Satola A.
• Języki publikacji: EN

Abstrakty

EN

The objective of this study was to compare five mathematical functions used for modeling lactation curves and to choose the most suitable one for Polish Holstein-Friesian cows. The data used were 1,944,818; 1,548,700; and 1,081,107 test-day milk yields from 220,487 first, 181,165 second, and 128,774 third lactations. Five models were fitted to the test-day data: the Ali and Schaeffer (ALI), Guo (GUO), and Wilmink (WIL) functions, and thirdorder (LEG3), and fourth-order (LEG4) Legendre polynomials. The milk lactation curves were fitted using a multiple-trait prediction method. Several criteria based on the analysis of residuals were used to compare the models. Of the five models, five-parameter functions (ALI and LEG4) gave the best goodness of fit for standard lactations (305-d), whereas three-parameter functions (GUO and WIL) were the worst. For extended lactations (400-d), the ALI function ensured the most correct prediction.

• Wydawca: -
• Czasopismo: Journal of Animal and Feed Sciences
• Rocznik: 2013
• Tom: 22
• Numer: 1
• Opis fizyczny: p.19-25,fig.,ref.

Twórcy

autor

Otwinowska-Mindur A.

• Department of Genetics and Animal Breeding, University of Agriculture in Krakow, al. Mickiewicza 24/28, 30-059 Krakow, Poland

autor

Ptak E.

• Department of Genetics and Animal Breeding, University of Agriculture in Krakow, al. Mickiewicza 24/28, 30-059 Krakow, Poland

autor

Jagusiak W.

• Department of Genetics and Animal Breeding, University of Agriculture in Krakow, al. Mickiewicza 24/28, 30-059 Krakow, Poland

autor

Satola A.

• Department of Genetics and Animal Breeding, University of Agriculture in Krakow, al. Mickiewicza 24/28, 30-059 Krakow, Poland

Bibliografia

• Ali T.E., Schaeffer L.R., 1987. Accounting for covariances among test day milk yields in dairy cows. Can. J. Anim. Sci. 67, 637–644
• Bohmanova J., Miglior F., Jamrozik J., Misztal I., Sullivan P.G., 2008. Comparison of random regression models with Legendre polynomials and linear splines for production traits and somatic cell score of Canadian Holstein cows. J. Dairy Sci. 91, 3627–3638
• Cole J.B., Null D.J., VanRaden P.M., 2009. Best prediction of yields for long lactations. J. Dairy Sci. 92, 1796–1810
• Dematawewa C.M.B., Pearson R.E., VanRaden P.M., 2007. Modeling extended lactations of Holsteins. J. Dairy Sci. 90, 3924–3936
• Druet T., Jaffrezic F., Boichard D., Ducrocq V., 2003. Modeling lactation curves and estimation of genetic parameters for first lactation test-day records of French Holstein cows. J. Dairy Sci. 86, 2480–2490
• Grossman M., Koops W.J., 1988. Multiphasic analysis of lactation curves in dairy cattle. J. Dairy Sci. 71, 1598–1608
• Guo Z., Swalve H.H., 1995. Modelling of lactation curve as a sub-model in the evaluation of test day records. Interbull Meeting, Prague, Czech Republic. Interbull Bulletin. 11, 4–7
• Macciotta N.P.P., Vicario D., Cappio-Borlino A., 2005. Detection of different shapes of lactation curve for milk yield in dairy cattle by empirical mathematical models. J. Dairy Sci. 88, 1178–1191
• Macciotta N.P.P., Miglior F., Dimauro C., 2010. Comparison of parametric orthogonal, and spline functions to model individual lactation curves for milk yield in Canadian Holsteins. Ital. J. Anim. Sci. 9, 460–464
• Norman H.D., VanRaden P.M., Wright J.R., Clay J.S., 1999. Comparison of test interval and best prediction methods for estimation of lactation yield from monthly, a.m-p.m, and trimonthly testing. J. Dairy Sci. 82, 438–444
• Olori V.E., Brotherstone S., Hill W.G., McGuirk B.J., 1999. Fit of standard models of the lactation curve to weekly records of milk production of cows in a single herd. Livest. Prod. Sci. 58, 55–63
• Ptak E., Schaeffer L.R., 1993. Use of test day yields for genetic evaluation of dairy sires and cows. Livest. Prod. Sci. 34, 23–34
• Quinn N., Killen L., Buckley F., 2005. Empirical algebraic modelling of lactation curves using Irish data. Irish J. Agr. Food Res. 44, 1–13
• Rook A.J., France J., Dhanoa M.S., 1993. On the mathematical description of lactation curves. J. Agr. Sci. 121, 97֪–102
• SAS, 2004. SAS ® 9.1.2 Qualification Tools User’s Guide. SAS Institute Inc. Cary, NC
• Schaeffer L.R., Jamrozik J., 1996. Multiple-trait prediction of lactation yields for dairy cows. J. Dairy Sci. 79, 2044–2055
• Silvestre A.M., Petim-Batista F., Colaco J., 2006. The accuracy of seven mathematical functions in modeling dairy cattle lactation curves based on test-day records from varying sample schemes. J. Dairy Sci. 89, 1813–1821
• VanRaden P.M., 1997. Lactation yields and accuracies computed from test day yields and (co)variances by best prediction. J. Dairy Sci. 80, 3015–3022
• Vargas B., Koops W.J., Herrero M., Van Arendonk J.A.M., 2000. Modeling extended lactations of dairy cows. J. Dairy Sci. 83, 1371–1380
• Wilmink J.B.M., 1987. Adjustment of test-day milk, fat and protein yield for age, season and stage of lactation. Livest. Prod. Sci. 16, 335–348
• Wood P.D.P., 1967. Algebraic model of the lactation curve in cattle. Nature 216, 164–165