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Table 3 Correlationsa between performances of a trait in different parities using a multi-trait model

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

Traitb IFL CR AIS NRR56 ICF DO
\( {r}_{a_0,{a}_1} \) 0.64 (0.09) 0.45(0.15) 0.48(0.11) 0.65(0.18)   
\( {r}_{a_0,{a}_2} \) 0.49 (0.12) 0.52(0.18) 0.40(0.13) 0.74(0.22)   
\( {r}_{a_0,{a}_3} \) 0.61 (0.14) 0.25(0.22) 0.55(0.14) 0.37(0.23)   
\( {r}_{a_1,{a}_2} \) 0.89 (0.06) 1.00(0.11) 0.92(0.06) 0.99(0.24) 0.91(0.03) 0.89(0.05)
\( {r}_{a_1,{a}_3} \) 0.93 (0.08) 0.66(0.19) 0.92(0.08) 0.92(0.23) 0.92(0.04) 0.96(0.05)
\( {r}_{a_2,{a}_3} \) 0.94 (0.07) 0.63(0.21) 0.94(0.07) 0.87(0.24) 0.96(0.04) 0.96(0.05)
\( {r}_{e_0,{e}_1} \) 0.06 (0.01) 0.03(0.004) 0.07(0.005) 0.004(0.004)   
\( {r}_{e_0,{e}_2} \) 0.04 (0.01) 0.01(0.01) 0.05(0.01) −0.002(0.005)   
\( {r}_{e_0,{e}_3} \) 0.04 (0.01) 0.01(0.01) 0.05(0.01) 0.01(0.01)   
\( {r}_{e_1,{e}_2} \) 0.09 (0.01) 0.02(0.01) 0.09(0.01) 0.02(0.01) 0.05(0.01) 0.12(0.01)
\( {r}_{e_1,{e}_3} \) 0.07 (0.01) 0.02(0.01) 0.08(0.01) 0.02(0.01) 0.01(0.01) 0.08(0.01)
\( {r}_{e_2,{e}_3} \) 0.11 (0.01) 0.04(0.01) 0.13(0.01) 0.03(0.01) 0.07(0.01) 0.14(0.01)
  1. a \( {r}_{a_i,{a}_j} \) = genetic correlation between performances of a trait in parities i and j, \( {r}_{e_i,{e}_j} \) = residual correlation between performances of a trait in parities i and j. Phenotypic correlations were similar to residual correlations (not presented)
  2. 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