Non-linear genetic relationships between 305-day milk yield and 18 type traits in first lactating US Holstein cattle were estimated on the basis of a polynomial offspring-parent regression model of order 2. In total, 24,470 dam-daughter records were used. Significant offspring-parent regression coefficients for the quadratic term were found between milk yield and the type traits front teat placement, fore udder attachment, udder depth and final score. For these relationships the genetic regression coefficients were calculated from the phenotypic regression coefficients according to formulae derived elsewhere. The transformation from the phenotypic offspring-parent regression to the genetic level resulted in rather strong non-linear relationships between milk yield and the respective type traits

B. Fuerst-Waltl, Johann Sölkner, A. Essl, I. Hoeschele

Proceedings of the World Congress on Genetics Applied to Livestock Production, Volume 23: Opening: plenary; technology; transfer; beef cattle; dairy cattle; pigs., , 415–418, 1998
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