Shape of curve lactation affects the fitting of empirical and mechanistic models applied to dairy sheep lactations in Mexico

  • Lilian Paola Guevara Muñeton Universidade Estadual do Norte Fluminense https://orcid.org/0000-0002-6973-9538
  • Leonardo Siquieira Gloria Universidade Estadual do Norte Fluminense https://orcid.org/0000-0002-2756-5939
  • Mohamed Benaouda L’Institut Agro Dijon
  • Isaac Alberto Teuntle-Lopez Instituto de Ciencias Agropecuarias, Universidad Autónoma del Estado de Hidalgo
  • Ximena Sofia Valdes-Cordoba Instituto de Ciencias Agropecuarias, Universidad Autónoma del Estado de Hidalgo
  • Juan Carlos Angeles-Hernandez Instituto de Ciencias Agropecuarias, Universidad Autónoma del Estado de Hidalgo https://orcid.org/0000-0001-5303-1685
  • Elon Souza Aniceto Universidade Estadual do Norte Fluminense https://orcid.org/0000-0002-6967-2361
  • Armando Peláez Acero Instituto de Ciencias Agropecuarias https://orcid.org/0000-0001-7004-4824
Keywords: Wood model, Wilmink model, Dijkstra model, ewes, Pollott model

Abstract

The ability of mathematical models to represent the lactation process varies according with their mathematical structure and database characteristics. The aim of the current study was evaluated the goodness of fit of empirical and mechanistic models applied to dairy sheep lactation curves with different shapes. A total of 4,494 weekly test day records were analyzed. All lactations were individually fitted using two empirical (Wood and Wilmink) and two mechanistic (Dijkstra, and Pollott) models. The Dijkstra model showed the best performance to typical curves and Wood model to atypical curves (without peak lactation). Therefore, the selection of the mathematical model to fit sheep lactation curves must consider the specific patter of milk production.

Downloads

Download data is not yet available.

References

Angeles-Hernandez, J. C., Pollott, G., Albarran-Portillo, B., Ramírez-Perez, A. H., Lizarazo-Chaparro, A., Castelan Ortega, O. A., & Gonzalez Ronquillo, M. (2018). The application of a mechanistic model to analyze the factors that affect the lactation curve parameters of dairy sheep in Mexico. Small Ruminant Research, 164, 58–63. https://doi.org/10.1016/j.smallrumres.2018.05.003
Dijkstra, J., France, J., Dhanoa, M. S., Maas, J. A., Hanigan, M. D., Rook, A. J., & Beever, D. E. (1997). A Model to Describe Growth Patterns of the Mammary Gland During Pregnancy and Lactation. Journal of Dairy Science, 80(10), 2340–2354. https://doi.org/10.3168/jds.S0022-0302(97)76185-X
Elzhov, T. V., Mullen, K. M., Spiess, A.-N., & Bolker, B. (2022). minpack.lm: R Interface to the Levenberg-Marquardt Nonlinear Least-Squares Algorithm Found in MINPACK, Plus Support for Bounds. R package version 1.2-2. https://CRAN.R-project.org/package=minpack.lm
Giraldo, J., Vivas, N. M., Vila, E., & Badia, A. (2002). Assessing the (a)symmetry of concentration-effect curves: Empirical versus mechanistic models. Pharmacology & Therapeutics, 95(1), 21–45. https://doi.org/10.1016/s0163-7258(02)00223-1
Hernández, J. C. Á., Schilling, S. R., Arias, M. A. V., Pérez, R. A. E., Castelán-Ortega, O. A., Pérez, A. H. R., & Ronquillo, M. G. (2017). Effect of live weight pre- and post-lambing on milk production of East Friesian sheep. Italian Journal of Animal Science. https://www.tandfonline.com/doi/abs/10.1080/1828051X.2017.1349536
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. Journal of Dairy Science, 88(3), 1178–1191. https://doi.org/10.3168/jds.S0022-0302(05)72784-3
Morant, S. V., & Gnanasakthy, A. (1989). A new approach to the mathematical formulation of lactation curves. Animal Science, 49(2), 151–162. https://doi.org/10.1017/S000335610003227X
Pollott, G. E. (2000). A Biological Approach to Lactation Curve Analysis for Milk Yield. Journal of Dairy Science, 83(11), 2448–2458. https://doi.org/10.3168/jds.S0022-0302(00)75136-8
Rodríguez, L., Ara G., M., Huamán U., H., & Echevarría C., L. (2005). Modelos de ajuste para curvas de lactación de vacas en crianza intensiva en la cuenca de Lima. Revista de Investigaciones Veterinarias Del Perú, 16(1), 01–12.
Sargent, F. D. (1968). Test interval method for calculating Dairy Herd Improvement Association records. Journal of Dairy Science, 51, 170–179.
Silvestre, A. M., 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., 89, 1813–1821.
Wilmink, J. B. M. (1987). Adjustment of test-day milk, fat and protein yield for age, season and stage of lactation. Livestock Production Science, 16(4), 335–348. https://doi.org/10.1016/0301-6226(87)90003-0
Wood, P. D. P. (1967). Algebraic Model of the Lactation Curve in Cattle. Nature, 216(5111), Article 5111. https://doi.org/10.1038/216164a0
Published
2023-06-15
How to Cite
Guevara Muñeton, Lilian Paola, Leonardo Siquieira Gloria, Mohamed Benaouda, Isaac Alberto Teuntle-Lopez, Ximena Sofia Valdes-Cordoba, Juan Carlos Angeles-Hernandez, Elon Souza Aniceto, and Armando Peláez Acero. 2023. “Shape of Curve Lactation Affects the Fitting of Empirical and Mechanistic Models Applied to Dairy Sheep Lactations in Mexico”. Archivos Latinoamericanos De Producción Animal 31 (Suplemento), 305-11. https://doi.org/10.53588/alpa.310553.