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1 Institute of Cell Animal and Population Biology, University of Edinburgh, West Mains Road, Edinburgh EH9 3JT, Scotland
2 Rothamsted Experimental Station, AFRC Institute of Arable Crops Research, Harpenden, Herts AL5 2JQ, England and Roslin Institute (Edinbugh), Roslin, Midlothian EH25 9PS, Scotland
Most approaches to modeling lactation curves involve parametric curves with fixed or random coefficients. In either case, the resulting models require the specification of an underlying parametric curve. The fitting of splines represents a semiparametric approach to the problem. In the context of animal breeding, cubic smoothing splines are particularly convenient because they can be incorporated into a suitably constructed mixed model. The potential for the use of splines in modeling lactation curves is explored with a simple example, and the results are compared with those using a random regression model. The spline model provides greater flexibility at the cost of additional computation. Splines are shown to be capable of picking up features of the lactation curve that are missed by the random regression model.
Key Words: lactation curves • smoothing • cubic splines • genetic effects
Submitted on May 20, 1998
Accepted on November 23, 1998
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