Table 4.

Variances of the intercept (${\mathrm{\sigma }}_{a_0}^2$) and slope (${\mathrm{\sigma }}_{a_1}^2$), the covariance between the intercept and slope (${\sigma }_{a_0{a}_1}$), residual variance (${\mathrm{\sigma }}_e^2$), 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	${\mathrm{\sigma }}_{a_0}^2$	${\mathrm{\sigma }}_{a_1}^2$	${\sigma }_{a_0{a}_1}$	${\mathrm{\sigma }}_e^2$	$r_{a_0{a}_1}$
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)

^a prop-EG the number of days that exceeding the threshold temperature humidity index in the period, mTHI-EG Minimum temperature humidity index for each day of the period

^b AFC Age at first calving, IFL Interval from the first to last service, CR Conception rate of first service

^c S1 reference period, S2 periods selected based on the Akaike’s information criterion