Table 4 Variances of the intercept (\( {\upsigma}_{a_0}^2 \)) and slope (\( {\upsigma}_{a_1}^2 \)), the covariance between the intercept and slope (\( {\sigma}_{a_0{a}_1} \)), residual variance (\( {\upsigma}_e^2 \)), and genetic correlation between the intercept and slope (\( {r}_{a_0{a}_1} \)), with their standard errors in parentheses, estimated using reaction norm models with H matrix in Holstein cattle
EGa | Traitb | Scenarioc | \( {\upsigma}_{a_0}^2 \) | \( {\upsigma}_{a_1}^2 \) | \( {\sigma}_{a_0{a}_1} \) | \( {\upsigma}_e^2 \) | \( {r}_{a_0{a}_1} \) |
|---|---|---|---|---|---|---|---|
Prop-EG | AFC | S1 | 971.97 (62.74) | 0.53 (0.05) | −9.62 (1.41) | 3413.70 (45.80) | −0.43 (0.02) |
S2 | 963.72 (60.99) | 0.96 (0.06) | −14.05 (1.62) | 3203.00 (44.60) | −0.46 (0.01) | ||
IFL | S1 | 218.16 (26.82) | 0.25 (0.03) | −1.80 (0.68) | 2456.90 (25.14) | −0.25 (0.03) | |
S2 | 236.35 (27.59) | 0.51 (0.03) | −4.98 (0.87) | 2323.10 (24.76) | −0.46 (0.02) | ||
CR | S1 | 1.01e-2 (1.60e−3) | 1.60e-5 (2.00e-6) | -3.35e-4 (5.20e-5) | 1.99e-1 (1.61e-03) | −0.83 (0.05) | |
S2 | 1.12e-2 (1.71e−3) | 1.30e-5 (2.00e-6) | -3.23e-4 (4.70e-5) | 1.98e-1 (1.62e-3) | −0.84 (0.05) | ||
mTHI-EG | AFC | S1 | 2735.10 (233.57) | 1.37 (0.12) | −51.60 (5.10) | 3396.80 (45.06) | −0.84 (0.03) |
S2 | 3950.90 (271.77) | 2.06 (0.12) | − 81.46 (5.69) | 3194.70 (43.73) | −0.90 (0.03) | ||
IFL | S1 | 1073.60 (126.34) | 0.78 (0.07) | −26.15 (2.92) | 2417.70 (25.10) | −0.90 (0.04) | |
S2 | 1591.40 (143.27) | 1.24 (0.08) | −41.85 (3.35) | 2309.10 (24.37) | −0.94 (0.03) | ||
CR | S1 | 7.78e-2 (9.60e-3) | 4.30e-5 (5.00e-6) | −1.81e-3 (2.14e-4) | 1.99e-1 (1.58e-3) | −0.98 (0.06) | |
S2 | 8.90e-2 (1.03e-2) | 4.50e-5 (5.00e-6) | −1.96e-3 (2.19e-4) | 1.98e-1 (1.59e-3) | −0.98 (0.05) |