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A comparison of different models of the lactation curve in dairy cattle

Published online by Cambridge University Press:  02 September 2010

G. J. Rowlands
Affiliation:
ARC Institute for Research on Animal Diseases, Compton, Newbury, Berkshire RG16 0NN
S. Lucey
Affiliation:
ARC Institute for Research on Animal Diseases, Compton, Newbury, Berkshire RG16 0NN
A. M. Russell
Affiliation:
ARC Institute for Research on Animal Diseases, Compton, Newbury, Berkshire RG16 0NN
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Abstract

A study of 468 lactations in two herds of British Friesian cows sampled weekly between 1976 and 1979 was undertaken to investigate seasonal variations in milk yield and to compare four models of the lactation curve: (i) logey(n)=loge a + b logen—cn; (ii) y(n) = anbe-cn; (iii) y(n)= ae-pn—ae-qn; and (iv) y(n) = a—p'n—ae-q‘n.

Model (i) was fitted by unweighted linear regression and the remainder by maximum likelihood. Average peak yield was 29 kg/day and 305-day yield was 5720 kg.

Model (ii) fitted the data slightly better on average than models (iii) and (iv), and all were better than model (i). Compared with model (i), model (ii) reduced the average residual mean square proportionally by 0-10 in cows and 004 in heifers (first calvers). Model (iv) described the initial rise in milk yield up to week 5 better than models (i) or (ii) but reached a maximum value slightly early. Models (i), (ii) and (iv) slightly underestimated and (iii) slightly overestimated maximum milk yield, but model (ii) provided the best estimate of the position of maximum yield.

Peak yields for heifers occurred on average at approximately 10 weeks post calving compared with 7 weeks for cows. Mean persistency of lactation, calculated as s= -(b+1) logec, did not vary from the second lactation onwards, whereas the average rate of decline p' in model (iv) increased with parity.

When milk yields were adjusted for stage of lactation, significant variations were found that were related to the week of recording but this seasonal variation in milk production was smaller than that found nationally in the United Kingdom.

Type
Research Article
Copyright
Copyright © British Society of Animal Science 1982

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References

REFERENCES

Cobby, J. M. and Le Du, Y. L. P. 1978. On fitting curves to lactation data. Anim. Prod. 26: 127133.Google Scholar
Dhanoa, M. S. 1981. A note on an alternative form of the lactation model of Wood. Anim. Prod. 32: 349351.Google Scholar
Gravert, H. O. and Baptist, R. 1976. Breeding for persistency of milk yield. Livest. Prod. Sci. 3: 2731.CrossRefGoogle Scholar
Killen, Lynn and Keane, M. 1978. The shape of lactation curves in Irish dairy herds. Ir. J. agric. Res. 17: 267282.Google Scholar
Ross, G. J. S. 1980. Maximum likelihood program. Lawes Agricultural Trust, Rothamsted Experimental Station, Harpenden, Hertfordshire.Google Scholar
Singh, B. and Bhat, P. N. 1978. Models of lactation curves for Hariana cattle. Indian J. Anim. Sci. 48: 791797.Google Scholar
Wood, P. D. P. 1967. Algebraic model of the lactation curve in cattle. Nature, Lond. 216:164165.CrossRefGoogle Scholar
Wood, P. D. P. 1969. Factors affecting the shape of the lactation curve in cattle. Anim. Prod. 11: 307316.Google Scholar
Wood, P. D. P. 1970. A note on the repeatability of parameters of the lactation curve in cattle. Anim. Prod. 12: 535538.Google Scholar
Wood, P. D. P. 1972. A note on seasonal fluctuations in milk production. Anim. Prod. 15: 8992.Google Scholar
Wood, P. D. P. 1976. Algebraic models of the lactation curves for milk, fat and protein production, with estimates of seasonal variation. Anim. Prod. 22: 3540.Google Scholar
Wood, P. D. P. 1980. Breed variations in the shape of the lactation curve of cattle and their implications for efficiency. Anim. Prod. 31: 133141.Google Scholar
Wood, P. D. P. 1981. A note on regional variations in the seasonality of milk production in dairy cattle. Anim. Prod. 32: 105108.Google Scholar