Variance components and correlations of female fertility traits in Chinese Holstein population

Table 2 Variance components^a using a multi-trait model and a single-trait model

Parameter^b	IFL	CR	AIS	NRR56	ICF	DO
\( {\sigma}_{a_0}^2 \)	56.6	1.851 E-03	0.018	1.352 E-03
\( {\sigma}_{a_1}^2 \)	325.8	2.921 E-03	0.101	1.120 E-03	120.5	539.7
\( {\sigma}_{a_2}^2 \)	282.3	1.937 E-03	0.100	1.292 E-03	69.1	380.0
\( {\sigma}_{a_3}^2 \)	238.0	2.821 E-03	0.101	2.697 E-03	59.5	396.6
\( {\sigma}_{e_0}^2 \)	4326.4	0.178	1.392	0.162
\( {\sigma}_{e_1}^2 \)	9398.3	0.204	3.390	0.210	1059.5	10,520.4
\( {\sigma}_{e_2}^2 \)	9073.3	0.187	3.642	0.217	818.8	9862.0
\( {\sigma}_{e_3}^2 \)	8944.9	0.189	3.642	0.221	798.6	9660.6
\( {\widehat{h}}_0^2 \)	0.013(0.003)	0.010(0.002)	0.013(0.002)	0.008(0.002)
\( {\widehat{h}}_1^2 \)	0.034(0.005)	0.014(0.003)	0.029(0.005)	0.005(0.002)	0.102(0.008)	0.049(0.006)
\( {\widehat{h}}_2^2 \)	0.030(0.005)	0.010(0.003)	0.027(0.005)	0.006(0.003)	0.078(0.009)	0.037(0.006)
\( {\widehat{h}}_3^2 \)	0.026(0.006)	0.015(0.005)	0.027(0.006)	0.012(0.005)	0.069(0.011)	0.039(0.007)
\( {\sigma}_{a_{123}}^2 \)	257.8	2.314 E-03	0.095	1.215 E-03	86.5	433.8
\( {\sigma}_{pe_{123}}^2 \)	804.5	5.285 E-03	0.317	5.664 E-03	41.3	1173.8
\( {\sigma}_{e_{123}}^2 \)	8438.8	0.191	3.214	0.210	911.3	9034.1
\( {\widehat{h}}^2 \) ₁₂₃	0.027(0.004)	0.012(0.002)	0.026(0.003)	0.006(0.001)	0.083(0.006)	0.041(0.005)

^a \( {\sigma}_{a_i}^2\left( i=0,1,2,3\right) \) = additive genetic variance of ith parity using multi-trait models (model 1); \( {\sigma}_{e_i}^2\left( i=0,1,2,3\right) \) = residual variance of ith parity using multi-trait models (model 1); \( {\widehat{h}}_i^2 \) = estimated heritability of ith parity using multi-trait models (model 1); \( {\sigma}_{a_{123}}^2 \) = additive genetic variance of a cow trait over parities using single-trait models (model 4); \( {\sigma}_{pe123}^2 \) = permanent environmental variance of a cow trait over parities using single-trait models; \( {\sigma}_{e_{123}}^2 \) = residual variance of a cow trait over parities using single-trait models (model 4); \( {\widehat{h}}_{123}^2 \) = estimated heritability of acow trait over parities using single-trait models
^b IFL interval from first to last insemination, CR conception rate at first insemination, AIS number of inseminations per conception, NRR56 non-return rate at 56 days after first insemination, ICF interval from calving to first insemination, DO days open

ISSN: 2049-1891