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A Bayesian estimation of the lactation curve of a dairy cow

Published online by Cambridge University Press:  02 September 2010

E. A. Goodall  and
D. Sprevak
E. A. Goodall
Affiliation:
Department of Agriculture for Northern Ireland, Newforge Lane, Belfast BT9 5PX
D. Sprevak
Affiliation:
Department of Engineering Mathematics, Queen's University of Belfast, Ashby Building, Stranmillis Road Belfast BT9 5AH
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Abstract

A recursive procedure for the estimation of the lactation curve of a dairy cow, which allows the inclusion of prior information on the curve and which takes account of the correlation between successive observations, is described. The method is based on the Kalman filter. It was found to give accurate estimates of the total milk yield at early stages of lactation.

Type
Research Article
Information
Animal Production , Volume 40 , Issue 2 , April 1985 , pp. 189 - 193
Copyright
Copyright © British Society of Animal Science 1985

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References

REFERENCES

Goodall, E. A. and McMurray, C. H. 1984. An integration of mathematical models for feeding and lactation with reproductive performance of the dairy cow. Anim. Prod. 38: 341–349.Google Scholar
Goodall, E. A. and Sprevak, D. 1984. A note on a stochastic model to describe the milk yield of a dairy cow. Anim. Prod. 38: 133–136.Google Scholar
Harrison, P. J. and Stevens, C. F. 1976. Bayesian forecasting. Jl R. statist. Soc. B 38: 205–248.Google Scholar
Harvey, A. C. 1981. Time Series Models. P. Allan, Oxford.Google Scholar
James, A. D. and Esslemont, R. J. 1979. The economics of calving intervals. Anim. Prod. 29: 157–162.Google Scholar
Jazwinski, A. H. 1970. Stochastic Processes and Filtering Theory. Academic Press, New York.Google Scholar
Johnson, C. L. 1979. The effect of level and frequency of concentrate feeding on the performance of dairy cows of different yield potential. J. agric. Sci., Camb. 92: 743–751.CrossRefGoogle Scholar
Kalman, R. E. 1960. A new approach to linear filtering and prediction problems. Trans. ASME. J. Basic Eng. Ser. D 82: 34–45.Google Scholar
Kalman, R. E. 1963. New methods of Wiener filtering theory. Proc. 1st Symp. Eng. Appns of Random Functions Theory and Prob. (ed. Bogdanoff, J. L. and Kozin, F.), pp. 270–388. Wiley, New York.Google Scholar
Kalman, R. E. and Bucy, R. S. 1961. New results in linear filtering and prediction problems. Trans. ASME. J. Basic Eng. Ser. D 83: 95–108.CrossRefGoogle Scholar
Meinhold, R. J. and Singpurwalla, N. D. 1983. Understanding the Kalman filter. Am. Statistician, 37: 123–127.CrossRefGoogle Scholar
Sprevak, D. and Newmann, M. M. 1980. An assessment of two bootstrapping algorithms for the identification of the parameters of a dynamical system. Int. J. Systems Sci. 11: 171–176.CrossRefGoogle Scholar
Theil, H. 1971. Principles of Econometrics. Wiley, New York.Google Scholar
Wood, P. D. P. 1967. Algebraic model of the lactation curve in cattle. Nature, Lond. 216: 164–165.CrossRefGoogle Scholar
Wood, P. D. P. 1969. Factors affecting the shape of the lactation curve in cattle. Anim. Prod. 11: 307–316.Google Scholar
Wood, P. D. P. and Newcomb, R. 1976. The effect of supplementary winter feeding on the total yield and lactation curves of cows in a herd of British Friesian cattle. J. agric. Sci., Camb. 87: 101–104.CrossRefGoogle Scholar