Skip to main content Accessibility help
×
Home

Modelling lactation curves of Friesian cows in a subtropical climate

  • I. A. Papajcsik (a1) and J. Bodero (a1)

Abstract

Monthly herd recording data from Friesian cows in south-east Queensland are used to evaluate 20 models of the lactation curve, 10 being drawn from the literature and 10 being original. The curve of Wood (1967) with equation y =a nb exp(–cn),and its modificationy =a nfc/cosh(en), generally gave the lowest values for the error mean square across all seasons of calving. However, the model which predicts a constant initial yield, followed by a linear decline,y =a forn =Sc, y =a - b(n –c) forn > c, is as good as the previous two models for winter calving cows. Hence it is a useful representation of the lactation curve in south-eastern Queensland, where about 40% of cows are calved in winter. The inverse polynomial modely =nl(a +bn + en2) is a useful model for lactations commencing in the summer months.

Copyright

References

Hide All
Baker, R. J. and Nelder, J. A. 1978. The GUM System, Release 3. Royal Statistical Society, London.
Bhat, P. N., Kumar, R. and Garg, R. C. 1981. Note on comparative efficiency of various lactation curve functions in Hariana cattle. Indian Journal of Animal Sciences 51: 102.
Brody, S., Ragsdale, A. C. and Turner, C. W. 1923. The rate of decline of milk secretion with the advance of the period of lactation. Journal of General Physiology 5: 441444.
Brody, S., Turner, C. W. and Ragsdale, A. C. 1924. The relation between the initial rise and the subsequent decline of milk secretion following parturition. Journal of General Physiology 6: 541545.
Cheema, J. S. and Basu, S. B. 1983. Lactation curve in Murrah buffaloes. Indian Veterinary Journal 60: 637642.
Cobby, J. M. and Li; DU, Y. L. P. 1978. On fitting curves to lactation data. Animal Production 26: 127133.
Conover, W. J. 1980). Practical Nonparametric Statistics. 2nd ed. Wiley, New York.
Dave, B. K. 1971. First lactation curve of the Indian water buffalo. JNKVV Research Journal 5: 9398.
Dhanoa, M. S. and Lh du, Y. L. P. 1982. A partial adjustment model to describe the lactation curve of a dairy cow. Animal Production 34: 243247.
Flanders, H., Korflage, R. R. and Price, J. J. 1970. Calculus, p. 510. Academic Press, New York.
Hutu, F. W. and Schutzbar, W. von. 1981. The question of the lactation curve of cows. Tierzuchter 33: 286288.
Kellogg, D. W., Urouhart, N. S. and Ortega, A. J. 1977. Estimating Holstein lactation curves with a gamma curve. Journal of Dairy Science 60: 13081315.
Kumar, R. and Bhat, P. N. 1979. Lactation curve in Indian buffaloes. Indian Journal of Dairy Science 32: 156160.
Madalhna, F. E., Martinez, M. L. and Freitas, A. F. 1979. Lactation curves of Holstein-Friesian and Holstein-Friesian × Gir cows. Animal Production 29: 101107.
Miller, A. J. 1981. LMM — a subroutine for unconstrained non-linear least-squares fitting. Report, Commonwealth Scientific and Industrial Research Organisation, Division of Mathematics and Statistics.
Miller, D. D. 1975. Lactation and other production curves as criteria for culling dairy cows. Bulletin, New Mexico Agricultural Experimental Station, No. 632, pp 1-19.
Molina, J. R. and Boschini, C. 1979. Adjustment of the dairy curve of a Holstein herd with a linear modal model. Agronomia Costarricense 3: 167174.
Mukundan, G. and Bhat, P. N. 1983. Lactation curve in Malabari goats and their Saanen half-breds. Indian Journal of Animal Sciences 53: 666669.
Nelder, J. A. 1966. Inverse polynomials, a useful group of multi-factor response functions. Biometrics 22: 128141.
Reason, G. K., Thurbon, P. N. and Orr, W. N. 1984. Use of the standard cow technique as an aid to problem definition in on-farm evaluations of feeding programmes. Procedings of the Australian Society of Animal Production 15: 553556.
Shanks, R. D., Berger, P. J., Freeman, A. E. and Dickinson, F. N. 1981. Genetic aspects of lactation curves. Journal of Dairy Science 64: 18521860.
Sikka, L. C. 1950. A study of lactation as affected by heredity and environment. Journal of Dairy Research 17: 231252.
Singh, B. and Bhat, P. N. 1978. Models of lactation curves for Hariana cattle. Indian Journal of Animal Sciences 48: 791797.
Singh, R. P. and Gopal, R. 1982. Lactation curve analysis of buffaloes maintained under village conditions. Indian Journal of Animal Sciences 52: 11571160.
Singh, R. P. and Raut, K. C. 1982. Studies on the lactation curve for cows under village conditions. Indian Journal of Animal Sciences 52: 375378.
Sivazlian, B. D. and Stanfel, L. E. 1975. Optimization Techniques in Operations Research, p. 361. Prentice-Hall, New Jersey.
Wood, P. D. P. 1967. Algebraic model of the lactation curve in cattle. Nature, London 216: 164165.
Yadav, M. P., Katpatal, B. G. and Kaushik, S. N. 1977. Components of inverse polynomial function of lactation curve, and factors affecting them in Harina and its Friesian crosses. Indian Journal of Animal Sciences 47: 777781.

Related content

Powered by UNSILO

Modelling lactation curves of Friesian cows in a subtropical climate

  • I. A. Papajcsik (a1) and J. Bodero (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.