Comparison of Different Lactation Curve Models to Describe Lactation Curve in Moroccan Holstein-Friesian Dairy Cows

Document Type: Research Article


Department of Animal Production and Biotechnology, Institut Agronomique et Veterinaire Hassan II,P.O. Box 6202 Rabat-Instituts, 10101 Rabat, Morocco


In this study, the incomplete gamma function, an exponential function, a mixed-log function and a polynomial function were evaluated to describe the lactation curve in Moroccan Holstein-Friesian dairy cows. Data from 1990 to 1999, comprising 77130 monthly milk yields of 6029 dairy cows in 280 dairy herds, were used. Edits were carried out by considering the lactation length (5 d and


  1. Ali T.E. and Schaeffer L.R. (1987). Accounting for covariance among test day milk yields in dairy cows. Can. J. Anim. Sci. 67, 637-644.
  2. Atashi H., Moradi Shahrbabak M. and Abdolmohammadi A. (2006). Study of some suggested measures of milk yield persistency and their relationships. Int. J. Agric. Biol. 8(3), 387-390.
  3. Boujenane I. (2002). Estimates of genetic and phenotypic parameters for milk production in Moroccan Holstein-Friesian cows. Revue Elev. Méd Vét Pays Trop. 55(1), 63-67.
  4. Boujenane I.and Hilal B. (2012). Genetic and non genetic effects for lactation curve traits in Holstein-Friesian cows. Arch. Tierz. 55 (5), 450-457.
  5. Cobby J.M. and Le Due Y.L.P. (1978). On fitting curves to lactation data. Anim. Prod. 26, 127-133.
  6. Druet T., Jaffrezie F., Boichard D. and Ducrocq V. (2003). Modelling lactation curves and estimation of genetic parameters for first lactation test day records of French Holstein cows. J. Dairy Sci. 86, 2480-2490.
  7. Gantner V., Jovanovac S., Raguz N., Solic D. and Kuterovac K. (2010). Non-linear vs. linear regression models in lactation curve prediction. Bulgarian J. Agric. Sci. 16(6), 794-800.
  8. Grossman M. and Koops W.J. (1988). Multiphasic analysis of lactation curves in dairy cattle. J. Dairy Sci. 71, 1598-1608.
  9. Guo Z. and Swalve H.H. (1995). Modelling of the lactation curve as a sub-model in the evaluation of test day records. Int. bull Bulletin 11, Int. Bull Eval. Serv., Uppsala, Sweden.
  10. Kitpipit W., Sopannarath P., Buaban S. and Tumwasorn S. (2008). Comparison of five mathematical functions for prediction of monthly yield in Thai multibreed dairy cattle population. Kasetsart J. Nat. Sci. 42,246-255.
  11. Koçak O. and Ekiz B. (2008). Comparison of different lactation curve models in Holstein cows raised on a farm in the south-eastern Anatolia region. Arch. Tierz. Dummerstorf. 4, 329-337.
  12. Koncagul S. and Yazgan K. (2008). Modelling first lactation of Holstein cows on herds in the southeast regions of Turkey. J. Anim. Vet. Adv. 7(7), 830-840.
  13. Neter J., Wasserman W. and Kutner M.H. (1985). Methods Applied Statistical. Richard D. Irwin, Inc., Homewood, Illinois. USA.
  14. Olori V.E., Brotherstone S., Hill W.G. and Mc Guirk 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.
  15. Quinn N., Killen L. and Buckley F. (2005). Empirical algebraic modelling of lactation curves using Irish data. Irish J. Agric. Food Res. 44, 1-13.
  16. Ratkowsky D.A. (1990). Handbook of Nonlinear Regression Models. Marcel Dekker, New York, USA.
  17. Rekik B. and Ben Gara A. (2004). Factors affecting the occurrence of atypical lactations for Holstein-Friesian cows. Livest. Prod. Sci. 87, 245-250.
  18. SAS Institute. (2002). SAS User’s Guide, Statistics, Version 9 Ed, SAS Institute Inc., Cary, NC, USA.
  19. Scott T.A., Yandell B., Zepeda L., Shaver R.D. and Smith T.R. (1996). Use of lactation curves for analysis of milk production data. J. Dairy Sci. 79, 1885-1894.
  20. Silvestre A.M., Petim-Batista F. and Calaço J. (2006). The accuracy of seven mathematical functions in modelling dairy cattle lactation curves based on test-day records from varying sample schemes. J. Dairy Sci. 89,1813-1821.
  21. Val-Arreola D., Kebreab E., Dijkstra J. and France J. (2004). Study of the lactation curve in dairy cattle on farms in central Mexico. J. Dairy Sci. 87, 3789-3799.
  22. 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.
  23. Wood P.D.P. (1967). Algebraic model of lactation curve in cattle. Nature. 216, 164-165.