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The effectiveness of mixed-model smoothing for prediction of lactation yields

Published online by Cambridge University Press:  05 November 2021

J.A. Woolliams
Affiliation:
Roslin Institute (Edinburgh), Roslin, Midlothian EH25 9PS, U.K.
D. Waddington
Affiliation:
Roslin Institute (Edinburgh), Roslin, Midlothian EH25 9PS, U.K.
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Extract

The accurate prediction of lactation yield for a dairy cow has been a long standing goal for improving management. Historically the approach has been to assume that yield as a function of time follows a lactation curve which can be assigned a form that applies to all cows, and that cows differ in the parameters of this common curve. This has led to a plethora of forms being suggested for this common curve, of which perhaps the most well-known is that of Wood(1967). The biggest problem with this approach is the assumption that all cows and all management systems combine to produce individual lactations described by a single form of ‘lactation curve’. A novel approach using mixed-model smoothing was investigated in this study which: (i) fits a shape of lactation, assuming no specific parametric form , to daily yield records of a group of cows by using a patterned (co)variance matrix to describe deviations from a linear trend for time postpartum in a mixed model; and (ii) allows individual yields to be predicted using this ‘mean’ curve and the deviation of an individual's yield record from this mean.

Type
Programme
Copyright
Copyright © The British Society of Animal Science 1998

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References

Verblya, A.P. 1995. A mixed model formulation of smoothing splines and testing linearity in generalized linear models. Research Report, Department of Statistics 95/5. University of Adelaide.Google Scholar
Wood, P.D.P. 1967. Algebraic model of the lactation curve in cattle. Nature 216: 164165 10.1038/216164a0CrossRefGoogle Scholar