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# Table 3 Estimates of variances (diagonals), co-variances (above the diagonal), and correlations (below the diagonal) between the random regression coefficients, along with the two eigenvalues (λ) and the relative proportions of variance that they explain (%)

From: Genomic evaluation of milk yield in a smallholder crossbred dairy production system in India

Additive genetic | Herd | Permanent environment |
Average residual^{*}
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---|---|---|---|---|---|---|---|

\({\alpha }_{0}\) | \({\alpha }_{1}\) | \({\alpha }_{0}\) | \({\alpha }_{1}\) | \({\alpha }_{0}\) | \({\alpha }_{1}\) | ||

Model 3 using adjusted TD from Model 1
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\({\alpha }_{0}\) | 1.097 (0.210) | − 0.093 (0.062) | 3.584 (0.171) | − 0.349 (0.049) | 2.908 (0.194) | − 0.357 (0.064) | 1.169 |

\({\alpha }_{1}\) | − 0.345 (0.211) | 0.067 (0.036) | − 0.355 (0.04) | 0.270 (0.026) | − 0.228 (0.038) | 0.842 (0.043) | |

λ (%) | 1.11 (94.98) | 0.06 (5.02) | 3.62 (93.93) | 0.23 (6.07) | 2.97 (79.15) | 0.78 (20.85) | |

Model 3 using adjusted TD from Model 2-M1
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\({\alpha }_{0}\) | 1.256 (0.227) | − 0.105 (0.063) | 4.063 (0.185) | − 0.357 (0.048) | 2.854 (0.204) | − 0.331 (0.063) | 1.072 |

\({\alpha }_{1}\) | − 0.357 (0.195) | 0.069 (0.033) | − 0.364 (0.043) | 0.237 (0.023) | − 0.229 (0.040) | 0.734 (0.038) | |

λ (%) | 1.27 (95.50) | 0.06 (4.50) | 4.10 (95.26) | 0.20(4.74) | 2.90 (80.95) | 0.68 (19.05) | |

Model 4 using adjusted TD from Model 2-M2
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\({\alpha }_{0}\) | 0.470 (0.105) | − 0.094 (0.048) | – | – | 2.321 (0.102) | − 0.299 (0.048) | 1.073 |

\({\alpha }_{1}\) | − 0.346 (0.158) | 0.158 (0.042) | – | – | − 0.210 (0.031) | 0.867 (0.043) | |

λ (%) | 0.50 (78.98) | 0.13 (21.02) | – | – | 2.38 (74.64) | 0.81 (25.36) | |

Model 3: BC*ENV in the genetic analysis
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\({\alpha }_{0}\) | 1.562 (0.233) | − 0.149 (0.066) | 2.875 (0.151) | − 0.303 (0.043) | 2.575 (0.200) | − 0.289 (0.063) | 1.072 |

\({\alpha }_{1}\) | − 0.459 (0.184) | 0.068 (0.033) | − 0.369 (0.046) | 0.235 (0.023) | − 0.211 (0.043) | 0.734 (0.038) | |

λ (%) | 1.58 (96.75) | 0.05 (3.25) | 2.91 (93.54) | 0.20 (6.46) | 2.62 (79.16) | 0.69 (20.84) | |

Model 3: BC*ENV in the phenotype analysis
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\({\alpha }_{0}\) | 0.642 (0.170) | − 0.091 (0.057) | 1.010 (0.081) | − 0.088 (0.031) | 3.034 (0.165) | − 0.293 (0.058) | 1.073 |

\({\alpha }_{1}\) | − 0.388 (0.214) | 0.085 (0.034) | − 0.182 (0.062) | 0.228 (0.023) | − 0.199 (0.037) | 0.719 (0.038) | |

λ (%) | 0.66 (90.30) | 0.07 (9.70) | 1.02 (82.33) | 0.22 (17.67) | 3.07 (81.83) | 0.68 (18.17) |