Table 2.

Definitions of symbols and acronyms

Items	Definition
PW1, PW2, and PW3	Progeny weaning weights. Sex-adjusted weaning weight (240-d weight) of the first, second, and third calf from each cow.
SLPW1, SLPW2, and SLPW3	Slaughter progeny weights. Sex-adjusted shrunk slaughter weight of the first, second, and third calf from each cow.
CARCPW1, CARCPW2, and CARCPW3	Carcass progeny weights. Sex-adjusted sum of chilled weight of right and left half of carcass of first, second, and third calf from each cow.
WHOLPW1, WHOLPW2, and WHOLPW3	Wholesale progeny weights. Sex-adjusted sum of trimmed wholesale cuts (chuck, rib, plate, foreshank, brisket, flank, sirloin, shortloin, round, hindshank, and rump) of first, second, and third calf from each cow.
PF1, PF2, and PF3	Progeny feed consumptions. Sex-adjusted feed consumption of the first, second, and third calf from 60 to 240 d of age.
PPF1, PPF2, and PPF3	Postweaning progeny feed consumptions. Sex-adjusted feed consumption of the first, second, and third progeny from 240 d of age to slaughter.
DW1, DW2, and DW3	Dam weights. Weight of the cow when her first, second, and third calf was weaned.
DF0	An estimate of the feed consumed by the dam from her birth to 240 d of age.
DF1, DF2, and DF3	Dam feed consumptions. Feed consumed by the cow from 240 d of age to the weaning of the first calf, from the weaning of the first calf to the weaning of the second calf, and from the weaning of the second calf to the weaning of the third calf.
k 1, k2, and k3	Weighting factors to accumulate first, second, and third (subscripts 1, 2, and 3) progeny weights on a life cycle basis.
l 1, l2, and l3	Weighting factors to estimate average weight of the dam on a life cycle basis where subscripts 1, 2, and 3 denote first, second, and third parity, respectively.
m 1, m2, and m3	Weighting factors to accumulate first, second, and third (subscripts 1, 2, and 3) progeny feed consumptions on a life cycle basis.
n 0, n1, n2, and n3	Weighting factors to accumulate feed consumption of the dam on a life cycle basis where subscripts 0, 1, 2, and 3 denote periods from birth to 240 d and first, second, and third parity, respectively.
R5	Progeny and dam slaughter weight output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{SLPW}}_i+\left(0.690\right){{\displaystyle \sum }}_{i=1}^3{l}_i{\text{DW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R6	Progeny slaughter weight output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{SLW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R7	Progeny and dam carcass weight output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{CARCPW}}_{\text{i}}+\left(0.439\right){{\displaystyle \sum }}_{i=1}^3{l}_i{\text{DW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R8	Progeny carcass weight output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{CARCPW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R9	Progeny and dam trimmed wholesale cut output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{WHOLPW}}_i+\left(0.289\right){{\displaystyle \sum }}_{i=1}^3{l}_i{\text{DW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R10	Progeny trimmed wholesale cut output divided by progeny and dam feed input computed on a life cycle basis (analysis I) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{k}_i{\text{WHOLPLW}}_i}{{{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{m}_i{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{n}_i{\text{DF}}_i}$
R11	Progeny and dam slaughter weight output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing three calves (analysis II) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{\text{SLPW}}_i+\left(0.690\right){\text{DW}}_3}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+{{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
R12	Progeny slaughter weight output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing three calves (analysis II) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{\text{SLPW}}_i}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
R13	Progeny and dam carcass weight output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing three calves (analysis II) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{\text{CARCPW}}_i+\left(0.439\right){\text{DW}}_3}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
R14	Progeny carcass weight output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing three calves (analysis II) as: $\frac{{{\displaystyle \sum }}_{i=1}^3{\text{CARCPW}}_i}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
R15	Progeny and dam trimmed wholesale cut output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing 3 calves (analysis II) as:
	$\frac{{{\displaystyle \sum }}_{i=1}^3{\text{WHOLPW}}_i+\left(0.289\right){\text{DW}}_3}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
R16	Progeny trimmed wholesale cut output divided by progeny and dam feed input computed on an actual lifetime basis for dams producing three calves (analysis II) as:
	$\frac{{{\displaystyle \sum }}_{i=1}^3{\text{WHOLPW}}_i}{{{\displaystyle \sum }}_{i=1}^3{\text{PF}}_i+ {{\displaystyle \sum }}_{i=1}^3{\text{PPF}}_i+{{\displaystyle \sum }}_{i=0}^3{\text{DF}}_i}$
DMI	Daily dry matter intake of the cow from 240 d of age to first calving.
ADG	Average daily gain of the cow from 240 d of age to first calving.
MMW	Metabolic midweight of the cow from 240 d of age to first calving.
RFI	Residual feed intake of the cow from 240 d of age to first calving.
RG	Residual ADG of the cow from 240 d of age to first calving.