Base Model | Second Model | Full Model | |
---|---|---|---|

REML LogLikelihood | −3458.5 | −3301.0 | −3296.6 |

Significance of change between models | P < 0.001 | P = 0.012 | |

Fixed effects: Incremental Wald F statistic with 1 df | |||

Site | 33.3^{c} | 2.9 ns | 0.4 ns |

Linear row cycle 1 | 3.2 ns | 3.5 ns | 3.9^{a} |

Linear row cycle 2 | 102.4^{c} | 105.2^{c} | 105.4^{c} |

Linear range cycle 1 | 126.9^{c} | 41.8^{c} | 44.9^{c} |

Linear range cycle 2 | 10.9^{c} | 9.6^{b} | 9.4^{b} |

Variance components for random effects: | |||

Residual components | |||

Variance cycle 1 | 4.730 ± 1.367 | 3.774 ± 1.015 | 3.802 ± 1.021 |

Range autocorrelation | −0.053 ± 0.047 | −0.063 ± 0.050 | −0.062 ± 0.049 |

Row autocorrelation | 0.004 ± 0.046 | −0.013 ± 0.049 | −0.014 ± 0.048 |

Variance cycle 2 | 3.715 ± 0.301 | 3.603 ± 0.279 | 3.533 ± 0.267 |

Range autocorrelation | 0.167 ± 0.046 | 0.167 ± 0.040 | 0.173 ± 0.040 |

Row autocorrelation | 0.061 ± 0.044 | 0.062 ± 0.038 | 0.064 ± 0.039 |

Other spatial components | |||

Row effects cycle 1 | 0.109 ± 0.075 | 0.114 ± 0.068 | 0.118 ± 0.069 |

Range effects cycle 2 | 0.124 ± 0.076 | 0.096 ± 0.061 | 0.096 ± 0.061 |

Blocks cycle 1 | 0.000 ± N/A | 0.039 ± 0.111 | 0.033 ± 0.102 |

Blocks cycle 2 | 0.013 ± 0.286 | 0.000 ± N/A | 0.000 ± N/A |

Total genetic effects | |||

Variance cycle 1 | 1.802 ± 1.367 | ||

Variance cycle 2 | 2.975 ± 0.408 | ||

Additive genetic effects | |||

Variance cycle 1 | 1.864 ± 0.425 | 2.098 ± 0.450 | |

Variance cycle 2 | 2.336 ± 0.408 | 2.286 ± 0.392 | |

Correlation | 0.823 ± 0.111 | ||

Nonadditive genetic effects | |||

Variance cycle 1 | 1.046 ± 1.014 | 0.970 ± 1.019 | |

Variance cycle 2 | 0.537 ± 0.370 | 0.673 ± 0.352 | |

Correlation | 0.673 ± 0.924 | ||

Narrow-sense heritability | |||

Cycle 1 | 0.305 | ||

Cycle 2 | 0.352 | ||

Average accuracy of predictions | |||

Cycle 1 | 0.562 | 0.894 | 0.815 |

Cycle 2 | 0.696 | 0.807 | 0.834 |

Based on ascochyta blight score (ABS) on single-spaced plants in partially replicated field experiments in cycle 1 (2010) and cycle 2 (2013). Three genetic models were fitted. The base model ignored genetic relationships and covariances between cycles. The second model included genetic relationships but ignored covariances between cycles. The full model included the additive and nonadditive genetic covariances between cycles. The models included fixed effects (experiment, linear row, and linear range effects) and random effects (additive and nonadditive genotype effects, genotype by environment effects, blocking structure, random row effects, and range and row correlations from the AR1:AR1 spatial model). Narrow-sense heritability is estimated in cycles 1 and 2 from the full model, ignoring the fact that the residuals are correlated, and average accuracy of predictions was calculated for genotypes present in each cycle for each model. ns, not significant; N/A, not available.

↵a 0.01 <

*P*< 0.05.↵b 0.001 <

*P*< 0.01.↵c

*P*< 0.001.