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Table 4 Estimates of heritability (in bold) and genetic correlations (below the diagonal) for each region sorted according to Table 1 depending on the trait studied and the model used (± SE)

From: Two approaches to account for genotype-by-environment interactions for production traits and age at first calving in South African Holstein cattle

Trait

Univariate analyses

Multivariate analyses

Residual variance(s)

Rank 4 (MTR4)

Rank 3 (MTR3)

Rank 2 (MTR2)

Rank 1 (MTR1)

Unique (U1)

By region (U4)

Milk yield

 

0.194

0.234

0.233

0.238

0.231

(0.004)

(0.001)

(0.009)

(0.008)

(0.007)

0.254

0.326

0.748; 0.364

0.778; 0.365

0.765; 0.365

1.000; 0.363

(0.006)

(0.007)

(NA); (0.002)

(0.032); (0.013)

(0.031); (0.012)

(NA); (0.010)

 

0.215

0.868; 0.833; 0.251

0.853; 0.850; 0.251

0.910; 0.963; 0.246

1.000; 1.000; 0.252

(0.005)

(0.022); (0.026); (0.001)

(0.024); (0.026); (0.009)

(0.015); (0.009); (0.008)

(NA); (NA); (0.008)

 

0.343

0.711; 0.636; 0.816; 0.118

0.949; 0.750; 0.950; 0.265

0.996; 0.823; 0.945; 0.263

1.000; 1.000; 1.000; 0.262

(0.007)

(0.048); (0.060); (0.037); (0.009)

(0.013); (0.034); (0.011); (0.009)

(0.003); (0.026); (0.012); (0.009)

(NA); (NA); (NA); (0.008)

Age at first calving

 

0.207

0.222

0.223

0.224

0.230

(0.007)

(0.010)

(0.010)

(0.010)

(0.009)

0.177

0.170

0.619; 0.184

0.644; 0.175

0.594; 0.175

1.000; 0.160

(0.006)

(0.006)

(0.056); (0.013)

(0.052); (0.012)

(0.052); (0.011)

(NA); (0.009)

 

0.157

0.738; 0.815; 0.183

0.742; 0.886; 0.186

0.770; 0.971; 0.188

1.000; 1.000; 0.181

(0.006)

(0.038); (0.039); (0.010)

(0.037); (0.029); (0.010)

(0.032); (0.010); (0.009)

(NA; (NA); (0.008)

 

0.167

0.711; 0.636; 0.816; 0.118

0.791; 0.976; 0.889; 0.113

0.854; 0.926; 0.999; 0.107

1.000; 1.000; 1.000; 0.112

(0.006)

(0.048); (0.060); (0.037) (0.009)

(0.036); (0.010); (0.026; 0.008)

(0.025); (0.019); (0.005); (0.006)

(NA); (NA); (NA); (0.006)

  1. U1 univariate model, one residual variance; U4 univariate model, four residual variances; MTRi multiple traits genetic variance matrix of rank i
  2. NA not available due to singularities