Table 2.

Statistical models¹ for multitrait animal models used to estimate phenotypic and genetic parameters and breeding values

Trait	Random effects		Fixed effects					Fixed covariate
	Anim	Year×Tank	Year	Year× Stat	Year×Stat× Sex×Mat	Year×Stat× Catar	Year×Stat× Defor	Tsum(year)
Weight1	x	x	x					x
Weight2	x	x			x	x	x
Weight3	x	x			x	x	x
Sea weight2	x	x			x		x
Sea gutted weight2	x	x			x		x
Sea visceral%	x	x			x		x
Sea survival2	x	x		x
Sea FCRInd	x	x	x
Sea fillet%	x	x	x
Sea muscle lipid%BW	x	x	x

Model terms are Anim, genetic effect of an individual with full pedigree; Year×Tank, random interaction of birth year and family rearing tank; Year, fixed effect of birth year; Year×Stat, fixed interaction of birth year and testing stations in fresh and sea water; Year×Stat×Sex×Mat, fixed interaction of birth year, station, sex, and maturity; Year×Stat×Catar, fixed interaction of birth year, station, and cataract score; Year×Stat×Defor, fixed interaction of birth year, station, and deformity class; Tsum(year), fixed covariate of cumulative temperature sum at date of recording, nested within birth year.