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Modelling lactation curve for milk fat to protein ratio in Iranian buffaloes (Bubalus bubalis) using non-linear mixed models

Published online by Cambridge University Press:  07 September 2016

Navid Ghavi Hossein-Zadeh
Navid Ghavi Hossein-Zadeh*
Affiliation:
Department of Animal Science, Faculty of Agricultural Sciences, University of Guilan, Rasht, 41635-1314, Iran
*
*For correspondence; e-mail: nhosseinzadeh@guilan.ac.ir or navid.hosseinzadeh@gmail.com
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Abstract

The aim of this study was to compare seven non-linear mathematical models (Brody, Wood, Dhanoa, Sikka, Nelder, Rook and Dijkstra) to examine their efficiency in describing the lactation curves for milk fat to protein ratio (FPR) in Iranian buffaloes. Data were 43 818 test-day records for FPR from the first three lactations of Iranian buffaloes which were collected on 523 dairy herds in the period from 1996 to 2012 by the Animal Breeding Center of Iran. Each model was fitted to monthly FPR records of buffaloes using the non-linear mixed model procedure (PROC NLMIXED) in SAS and the parameters were estimated. The models were tested for goodness of fit using Akaike's information criterion (AIC), Bayesian information criterion (BIC) and log maximum likelihood (−2 Log L). The Nelder and Sikka mixed models provided the best fit of lactation curve for FPR in the first and second lactations of Iranian buffaloes, respectively. However, Wood, Dhanoa and Sikka mixed models provided the best fit of lactation curve for FPR in the third parity buffaloes. Evaluation of first, second and third lactation features showed that all models, except for Dijkstra model in the third lactation, under-predicted test time at which daily FPR was minimum. On the other hand, minimum FPR was over-predicted by all equations. Evaluation of the different models used in this study indicated that non-linear mixed models were sufficient for fitting test-day FPR records of Iranian buffaloes.

Keywords

Dairy buffalolactation modelmilk componentsmodel fittingnon-linear mixed model
Type
Research Article
Information
Journal of Dairy Research , Volume 83 , Issue 3 , August 2016 , pp. 334 - 340
Copyright
Copyright © Proprietors of Journal of Dairy Research 2016 

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References

Bauman, DE & Griinari, JM 2003 Nutritional regulation of milk fat synthesis. Annual Review of Nutrition 23 203–227 CrossRefGoogle ScholarPubMed
Borghese, A 2005 ‘Buffalo production and research.’ (FAO Regional Office for Europe Inter-Regional Cooperative Research Network on Buffalo (ESCORENA: Rome, Italy). ftp://ftp.fao.org/docrep/fao/010/ah847e/ah847e.pdf (Accessed 31 October 2015)Google Scholar
Brody, S, Ragsdale, AC & Turner, CW 1923 The rate of decline of milk secretion with the advance of the period of lactation. Journal of General Physiology 5 441–444 Google Scholar
Burnham, KP & Anderson, DR 2002 Model Selection and Multimodel Inference: a Practical–theoretic Approach, 2nd edn. Berlin, Germany: Springer-Verlag Google Scholar
Buttchereit, N, Stamer, E, Junge, W & Thaller, G 2010 Evaluation of five lactation curve models fitted for fat-protein ratio of milk and daily energy balance. Journal of Dairy Science 93 1702–1712 Google Scholar
Čejna, V & Chládek, G 2005 The importance of monitoring changes in milk fat to protein ratio in Holstein cows during lactation. Journal of Central European Agriculture 6 539–545 Google Scholar
Collard, BL, Boettcher, PJ, Dekkers, JCM, Petitclerc, D & Schaeffer, LR 2000 Relationships between energy balance and health traits of dairy cattle in early lactation. Journal of Dairy Science 83 2683–2690 Google Scholar
Dhanoa, MS 1981 A note on an alternative form of the lactation model of wood. Animal Production 32 349–351 Google Scholar
Dijkstra, J, France, J, Dhanoa, MS, Maas, JA, Hanigan, MD, Rook, AJ & Beever, DE 1997 A model to describe growth patterns of the mammary gland during pregnancy and lactation. Journal of Dairy Science 80 2340–2354 Google Scholar
Dimauro, C, Cappio-Borlino, A, Macciotta, NPP & Pulina, G 2007 Use of a computer-aided design to develop a stress simulation model for lactating dairy sheep. Livestock Production Science 106 200–209 CrossRefGoogle Scholar
Doepel, L, Lapierre, H & Kennelly, JJ 2002 Peripartum performance and metabolism of dairy cows in response to prepartum energy and protein intake. Journal of Dairy Science 85 2315–2334 CrossRefGoogle ScholarPubMed
Eicher, R 2004 Evaluation of the metabolic and nutritional situation in dairy herds: diagnostic use of milk components. Medecin Veterinaire du Quebec 34 36–38 Google Scholar
Gahlot, GC, Gahlot, RS & Jairath, LK 1988 Pattern of lactation curve in Rathi cattle. Indian Journal of Animal Science 58 1112–1114 Google Scholar
Ghavi Hossein-Zadeh, N 2013 Effects of main reproductive and health problems on the performance of dairy cows: a review. Spanish Journal of Agricultural Research 11 718–735 CrossRefGoogle Scholar
Ghavi Hossein-Zadeh, N 2014 Comparison of non-linear models to describe the lactation curves of milk yield and composition in Iranian Holsteins. Journal of Agricultural Science 152 309–324 CrossRefGoogle Scholar
Ghavi Hossein-Zadeh, N 2016 Comparison of non-linear models to describe the lactation curves for milk yield and composition in buffaloes (Bubalus bubalis). Animal 10 248–261 Google Scholar
Goff, JP & Horst, RL 1997 Physiological changes at parturition and their relationship to metabolic disorders. Journal of Dairy Science 80 1260–1268 CrossRefGoogle ScholarPubMed
Grummer, RR 1995 Impact of changes in organic nutrient metabolism on feeding the transition dairy cow. Journal of Animal Science 73 2820–2833 Google Scholar
Grummer, RR, Mashek, DG & Hayirli, A 2004 Dry matter intake and energy balance in the transition period. Veterinary Clinics of North America: Food Animal Practice 20 447–470 Google ScholarPubMed
Gürtler, H & Schweiger, FJ 2005 Physologie der Laktation. In Physologie der Haustiere, pp. 552–573. Vol. 2 (Ed. von Engelhard, W & Breves, C). Stuttgart, Germany: Enke Verlag Google Scholar
Heuer, C, Schukken, YH & Dobbelaar, P 1999 Postpartum BCS and results from the first test day milk as predictors of disease, fertility, yield, and culling in commercial dairy herds. Journal of Dairy Science 82 295–304 CrossRefGoogle Scholar
Jamrozik, J & Schaeffer, LR 2012 Test-day somatic cell score, fat-to-protein ratio and milk yield as indicator traits for sub-clinical mastitis in dairy cattle. Journal of Animal Breeding and Genetics 129 11–19 CrossRefGoogle ScholarPubMed
Leslie, K 2000 The influence of negative energy balance on udder health. In National Mastitis Council Regional Meeting Proceedings. Madison, WI: National Mastitis Council Google Scholar
Loeffler, SH, de Vries, MJ & Schukken, YH 1999 The effects of time of disease occurrence, milk yield and body condition on fertility of dairy cows. Journal of Dairy Science 82 2589–2600 Google Scholar
Miksa, IR, Buckley, LC & Poppenga, HR 2004 Detection of nonesterified (free) fatty acids in bovine serum: comparative evaluation of two methods. Journal of Veterinary Diagnostic Investigation 16 139–144 Google Scholar
Mulligan, FJ, O'Grady, L, Rice, DA & Doherty, ML 2006 A herd health approach to dairy cow nutrition and production disease of the transition cow. Animal Reproduction Science 96 331–353 Google Scholar
Negussie, E, Strandén, I & Mäntysaari, EA 2013 Genetic associations of test-day fat: protein ratio with milk yield, fertility, and udder health traits in Nordic Red cattle. Journal of Dairy Science 96 1237–1250 CrossRefGoogle ScholarPubMed
Nelder, JA 1966 Inverse polynomials, a useful group of multi-factor response functions. Biometrics 22 128–141 Google Scholar
Papajcsik, IA & Bodero, J 1988 Modeling lactation curves of Friesian cow in a subtropical climate. Animal Production 47 201–207 Google Scholar
Pérochon, L, Coulon, JB & Lescourret, F 1996 Modelling lactation curves of dairy cows with emphasis on individual variability. Animal Production 63 189–200 Google Scholar
Podpečan, O, Mrkum, J & Zrimšek, P 2008 Diagnostic evaluation of fat to protein ratio in prolonged calving to conception interval using receiver operating characteristic analyses. Reproduction in Domestic Animals 43 249–254 CrossRefGoogle ScholarPubMed
Reist, M, Erdin, D, Von Euw, D, Tschuemperlin, K, Leuenberger, H, Chilliard, Y, Hammon, HM, Morel, C, Philipona, C, Zbinden, Y, Kuenzi, N & Blum, JW 2002 Estimation of energy balance at the individual and herd level using blood and milk traits in high-yielding dairy cows. Journal of Dairy Science 85 3314–3327 CrossRefGoogle ScholarPubMed
Rook, AJ, France, J & Dhanoa, MS 1993 On the mathematical description of lactation curves. The Journal of Agricultural Science 121 97–102 CrossRefGoogle Scholar
Sarwar, M, Khan, MA, Nisa, M, Bhatti, SA & Shahzad, MA 2009 Nutritional management for buffalo production. Asian-Australasian Journal of Animal Science 22 1060–1068 CrossRefGoogle Scholar
SAS Institute 2002 SAS User's guide v. 9.1: Statistics. Cary, NC: SAS Institute, Inc.Google Scholar
Seggewiß, S 2004 Überprüfung der Bedeutung von Milchinhaltsstoffen für die Beurteilung der Energie-, Protein- und Strukturversorgung von HF-Kühen. Diss. Hannover. http://elib.tiho-hannover.de/dissertations/seggewisss_ws04.pdf (Accessed 26 March 2015)Google Scholar
Sikka, LC 1950 A study of lactation as affected by heredity and environment. Journal of Dairy Research 17 231–252 CrossRefGoogle Scholar
Silvestre, AM, Petim-Batista, F & Colaço, J 2006 The accuracy of seven mathematical functions in modelling dairy cattle lactation curves based on test-day records from varying sample schemes. Journal of Dairy Science 89 1823–1821CrossRefGoogle ScholarPubMed
Toni, F, Vincenti, L, Grigoletto, L, Ricci, A & Schukken, YH 2011 Early lactation ratio of fat and protein percentage in milk is associated with health, milk production, and survival. Journal of Dairy Science 94 1772–1783 CrossRefGoogle ScholarPubMed
Veerkamp, RF, Oldenbroek, JK, van der Gaast, HJ & van der Werf, JHS 2000 Genetic correlation between days until start of luteal activity and milk yield, energy balance, and live weights. Journal of Dairy Science 83 577–583 Google Scholar
Wathes, DC, Fenwick, M, Cheng, Z, Bourne, N, Llewellyn, S, Morris, DG, Kenny, D, Murphy, J & Fitzpatrick, R 2007 Influence of negative energy balance on cyclicity and fertility in the high producing dairy cow. Theriogenology 68(Suppl. 1) S232–S241 CrossRefGoogle ScholarPubMed
Wood, PDP 1967 Algebraic models of the lactation curves in cattle. Nature 216 164–165 Google Scholar