Modelling of individual lactation curves of Tunisian Holstein-Friesian cows for milk yield, fat, and protein contents using parametric, orthogonal and spline models

• Autorzy: Bouallegue M. , Steri R. , M'hamdi N. , Ben Hamouda M.
• Języki publikacji: EN

Abstrakty

EN

Different equations were employed to directly model individual lactation curves of Tunisian Holstein-Friesian cows using 260 241 test day records for milk yield, fat, and protein contents. Eleven mathematical models were compared. Parametric curves (Legendre polynomials, Ali and Schaeffer (AS), Wood, and Wilmink models) and regression splines were tested. Goodness of fit was assessed by considering the adjusted R-square ranked according to five classes, statistical criteria, and residuals analysis. Regression splines (quadratic and cubic spline models with three knots) showed better fitting performances and greater flexibility for all milk traits. The sixth-order Legendre orthogonal polynomial model and the Ali and Schaeffer model also gave the best fit for milk traits compared with the three-parameter models (Wood and Wilmink) and with the lower-order polynomial models, but the AS model was less correlated for fat content (R = 0.87), gave a moderate correlation (R = 0.90) for protein content, and had less similarity between the observed and estimated lactation curves. The performance of Legendre orthogonal polynomials and quadratic splines was strongly affected by the models’ order and the number of knots.

• Wydawca: -
• Czasopismo: Journal of Animal and Feed Sciences
• Rocznik: 2015
• Tom: 24
• Numer: 1
• Opis fizyczny: p.11-18,fig,.ref.

Twórcy

autor

Bouallegue M.

• High Agronomic Institute of Chott Mariem, BP. 47, Chott Meriem Sousse, Tunisia

autor

Steri R.

• Centro di Ricerca per la Produzione delle Carni e il Miglioramento Genetico, Rome, Italy

autor

M'hamdi N.

• National Institute of Agronomy of Tunis, 43 Av. Ch. Nicole, 1082 Tunis Mahragene, Tunisia

autor

Ben Hamouda M.

• Ministry of Agriculture, Institution of Agricultural Research and Higher Education, 30, Rue Alain Savary, Tunisia

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
• 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
• Guo Z., Swalve H.H., 1995. Modelling of lactation curve as a submodel in the evaluation of test day records. In: Proceedings of the Open Session of the Interbull Annual Meeting, Prague (Czech Republic). Department of Animal Breeding and Genetics, SLU, Uppsala (Sweden). Interbull Bulletin 11, 4–7
• Jaffrezic F., White I.M.S., Thompson R., Visscher P.M., 2002. Contrasting models for lactation curve analysis. J. Dairy Sci. 85, 968–975
• Jamrozik J., Kistemaker G.J., Dekkers J.C.M., Schaeffer L.R., 1997. Comparison of possible covariates for use in a random regression model for analyses of test day yields. J. Dairy Sci. 80, 2550–2556
• Kirkpatrick M., Lofsvold D., Bulmer M., 1990. Analysis of the inheritance, selection and evaluation of growth trajectories. Genetics 124, 979–993
• Macciotta N.P.P., Dimauro C., Rassu S.P.G., Steri R., Pullna G., 2011. The mathematical description of lactation curves in dairy cattle. Ital. J. Anim. Sci. 10, 213–223
• Macciotta N.P.P., Miglior F., Dimauro C., Schaeffer L.R., 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
• Macciotta N.P.P., Vicaro 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
• Meyer K., 2005. Random regression analysis using B-splines to model growth of Australian Angus cattle. Genet. Sel. Evol. 37, 473–500
• Misztal I., 2006. Properties of random regression models using linear splines. J. Anim. Breed. Genet. 123, 74–80
• Olori V.E., Brotherston 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
• Otwinowska-Mindur A., Ptak E., Jagusiak W., Satoła A., 2013. Modeling lactation curves of Polish Holstein-Friesian cows. Part I: The accuracy of five lactation curve models. J. Anim. Feed Sci. 22, 19–25
• Pool M.H., Janss L.L., Meuwissen T. H., 2000. Genetic parameters of Legendre polynomials for first parity lactation curves. J. Dairy Sci. 83, 2640–2649
• 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., 2006. Modeling fat and protein concentration curves for Irish dairy cows. Irish J. Agr. Food Res. 45, 13–23
• SAS, 2001. SAS ® 9.1 Qualification Tools User’s Guide. SAS Institute Inc. Cary, NC
• Schaeffer L.R., 2004. Application of random regression models in animal breeding. Livest. Prod. Sci. 86, 35–45
• Silvestre A.M.D., Martins A.M., Santos V.A., Ginja M.M, Colaço J.A., 2009. Lactation curves for milk, fat and protein in dairy cows: A full approach. Livest. Prod. Sci. 122, 308–313
• Silvestre A.M.D., Petim-Batista F., Colaço 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. 75, 1813–1821
• Steri R., Dimauro C., Canavesi E.F., Nicolazzi E.L, Macciotta N.P.P., 2012. Analysis of lactation shapes in extended lactations. Animal 6(10), 1572–1582
• White I.M.S., Thompson R., Brotherstone S., 1999. Genetic and environmental smoothing of lactation curves with cubic splines. J. Dairy Sci. 82, 632–638
• 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