Table 3. Results of the general mixed models for the analysis of seedling total dry weight (a) and seedling root/shoot ratio (b) without accounting for SM covariation (left) and accounting for SM covariation (right).
Without accounting for SM covariation
|
Accounting for SM covariation
|
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---|---|---|---|---|---|---|
Variable effect | DF or VarComp | F or χ2 | P-value | DF or VarComp | F or χ2 | P-value |
(a) Total seedling dry weight | ||||||
Fixed factors | ||||||
Maternal environment (E) | 1, 9 | 45.3 | <0.001 | 1, 9 | 6.3 | 0.033 |
Block (E)a | 15, 68 | 2.1 | 0.018 | 15, 68 | 1.5 | 0.140 |
Germination date | 1, 1970 | 157.1 | <0.001 | 1, 1958 | 246.1 | <0.001 |
SM | 1, 1958 | 832.8 | <0.001 | |||
SM × E | 1, 1958 | 7.5 | 0.006 | |||
SM × G | 9, 1958 | 3.2 | <0.001 | |||
Random factors | ||||||
Genotype of the mother tree (G) | 6225±3373 | 8.5 | 0.002 | 0 | 0.0 | 0.500 |
G × E | 1068±816 | 4.9 | 0.013 | 162±286 | 0.0 | 0.500 |
Ramet (G × B(E)) | 2586±563 | 89.5 | <0.001 | 1245±280 | 80.3 | <0.001 |
Cone (E × G × B) | 1298±198 | 110.0 | <0.001 | 590±120 | 47.2 | <0.001 |
Residual | 6005±191 | 4633±148 | ||||
(b) Seedling root/shoot ratio | ||||||
Fixed factors | ||||||
Maternal environment (E) | 1, 9 | 5.5 | 0.044 | 1, 9 | 9.8 | <0.001 |
Block (E)a | 15, 68 | 1.3 | 0.202 | 15, 68 | 1.4 | 0.194 |
Germination date | 1, 1970 | 19.9 | <0.001 | 1, 1959 | 16.5 | <0.001 |
SM | 1, 1959 | 4.4 | 0.037 | |||
SM × E | —a | — | — | |||
SM × G | 9, 1959 | 2.3 | 0.015 | |||
Random factors | ||||||
Genotype of the mother tree (G) | 0.15±0.11 | 3.2 | 0.037 | 0 | 0.0 | 0.500 |
G × E | 0 | 0.0 | 0.500 | 0 | 0.0 | 0.500 |
Ramet (G × B(E)) | 0.21±0.15 | 2.4 | 0.061 | 0.26±0.16 | 3.6 | 0.029 |
Cone (E × G × B) | 0.87±0.2 | 31.5 | 0.000 | 0.79±0.20 | 27.2 | <0.001 |
Residual | 8.40±0.27 | 8.41±0.27 |
Abbreviations: DF, degrees of freedom; SM, seed mass; VarComp, variance components.
Degrees of freedom (DF) and F-ratios are shown for fixed effects; variance components (VarComp±s.e.) and associated χ2 values showing their statistical significance are shown for random factors. Significant (P<0.05) P-values are typed in bold.
The SM × E term was excluded from the model as it was not significant (F1,1958=0.0, P=0.982) and did not improve the resolution of the model.