Modeling of lactation curves of Red Sindhi dairy cows
121 / 114 / 43
Keywords:
Adjusted R2, AIC, Lactation curves, Red Sindhi, SBCAbstract
The Lactation curve is the relationship between milk yield and lactation length with respect to time. The present study is based on the data on the lactation records of Red Sindhi cows compiled from Central Cattle Breeding Farm (CCBF), Chiplima, Odisha. Five different lactation curve model, viz. Sikka (SIK), Wood (WD), Polynomial (POL), Dijkstra (DIJK), Morant and Gnanasakthy (MG) models were fitted to the weekly test day milk yield (WTDMY) of Red Sindhi dairy cows. The goodness of fit of the models were judged by adjusted coefficient of determination (Adj. R2), root mean square error (RMSE), Akaike’s information criteria (AIC) and Schwartz Bayesian information criterion (SBC). The normality of the residuals was tested by Shapiro –Wilk’s test and autocorrelation was tested by Durbin Watson test. From the analysis of data it is evident that all the models fitted very well the lactation data of Red Sindhi cows with high degree of accuracy (Adj.R2 > 91%) except for the Wood (WD) model. However among all the models, Polynomial model (Dave 1971) was the best fitted model followed by Dijkstra model. Wood model was the least fitted model among all the lactation models. Highest observed peak yield was at sixth week, the same peak period was given by Wood, Polynomial and Dijkstra models. All the estimated peak yields were ranged between 70.14 kg to 75.96 kg.
Downloads
References
Cankaya S, Adnan U and Ercan S. 2011. Selection of a mathematical model to describe the lactation curves of Jersey cattle. Archiv Tierzucht 54: 27–35. DOI: https://doi.org/10.5194/aab-54-27-2011
Dave B K. 1971. First lactation curve of Indian water buffalo. Jawaharlal Nehru Krishi Vishwa Vidyalaya Research Journal 5: 93.
Dijkstra J, France J, Dhanoa M S, Maas J A, Hanigan M D, Rook A J and Beever D E. 1997. A model to describe growth patterns of the mammary gland during pregnancy and lactation. Journal of Dairy Science 80(10): 2340–54. DOI: https://doi.org/10.3168/jds.S0022-0302(97)76185-X
Dohare A K, Singh B, Verma M R, Perme B, Sharma V B, Gupta N and Kshandakar S. 2014. Comparison of standard lactation curve models using fortnightly milk records in Frieswal cattle. Veterinary World 7(10): 831–34. DOI: https://doi.org/10.14202/vetworld.2014.831-834
Dohare A K, Verma M R, Bangar Y C and Kumar. 2015. Modelling the effect of mastitis on lactation curves in crossbred cattle. International Journal of Agricultural and Statistical Sciences 11(sup.1): 155–59.
Dongre V B, Gandhi R S, Singh A, Vataliya P H, Sonawane G, Ahlawat A and Venkatesan R T. 2013. Detection of different shapes of lactation curve for milk yield in Sahiwal cattle by different lactation curve models. Indian Journal of Veterinary Science 1(1): 8–15.
Ferreira A G, Henrique D S, Vieira R A, Maeda E M and Valotto A A. 2015. Fitting mathematical models to lactation curves from Holstein cows in the southwestern region of the state of Parana, Brazil. Anais da Academia Brasileira de Ciências 87(1): 503–17. DOI: https://doi.org/10.1590/0001-3765201520130514
Hossein-Zadeh and Ghavi N. 2016. Comparison of non-linear models to describe the lactation curves for milk yield and composition in buffaloes. Animal 10(2): 248–61. DOI: https://doi.org/10.1017/S1751731115001846
Morant S and Gnanasakthy A. 1989. A new approach to the mathematical formulation of lactation curves. Animal Production 49(2): 151–62. DOI: https://doi.org/10.1017/S000335610003227X
Motulsky H J and Lennart A R. 1987. Fitting curves to data using nonlinear regression: a practical and nonmathematical review. FASEB Journal 1(5): 365–74. DOI: https://doi.org/10.1096/fasebj.1.5.3315805
Nasri M F, France J, Odongo N E, López S, Bannink A and Kebreab E. 2008. Modelling the lactation curve of dairy cows using the differentials of growth functions. Journal of Agricultural Science 146(06): 633–41. DOI: https://doi.org/10.1017/S0021859608008101
Quinn N, Killen L and Buckley F. 2005. Empirical algebraic modelling of lactation curves using Irish data. Irish Journal of Agricultural and Food Research 1: 1–13.
Sikka L C. 1950. A study of lactation as affected by heredity and environment. Journal of Dairy Research 17: 231. DOI: https://doi.org/10.1017/S0022029900005811
Wood P D P. 1967. A simple model of lactation curves for milk yield, food requirement and body weight. Nature 28: 55–63. DOI: https://doi.org/10.1017/S0003356100023059
Downloads
Submitted
Published
Issue
Section
License
Copyright (c) 2017 The Indian Journal of Animal Sciences

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The copyright of the articles published in The Indian Journal of Animal Sciences is vested with the Indian Council of Agricultural Research, which reserves the right to enter into any agreement with any organization in India or abroad, for reprography, photocopying, storage and dissemination of information. The Council has no objection to using the material, provided the information is not being utilized for commercial purposes and wherever the information is being used, proper credit is given to ICAR.