Table 2. Results of the general linear mixed model for analysis of the Pinus pinaster seedlings necrosis length.
Effects | Without accounting for seed mass covariation | Accounting for seed mass covariation | ||||
DF/VarComp | F-ratio/χ2 | P value | DF/VarComp | F-ratio/χ2 | P value | |
Fixed factors | ||||||
Inoculation [I] | 1, 1175 | 493.5 | <0.001 | 1, 1175 | 501.2 | <0.001 |
Maternal environment [E] | 1, 9 | 3.5 | 0.095 | 1, 9 | 0.4 | 0.561 |
I×E | 1, 1175 | 7.0 | 0.008 | 1, 1175 | 7.0 | 0.010 |
Block (E)a | 10, 30 | 0.8 | 0.627 | 10, 30 | 0.7 | 0.694 |
Trays (I)b | 1, 1175 | 32.0 | <0.001 | 10, 1174 | 32.1 | <0.001 |
Seed mass | 1, 1174 | 2.21 | 0.137 | |||
Random factors | ||||||
Maternal genotype [G] | 0.002±0.012 | 0.0 | 0.500 | 0 | 0.5 | 0.500 |
G×E | 0.001±0.008 | 0.9 | 0.171 | 0.001±0.007 | 1.1 | 0.240 |
Ramet [R] | 0 | 0.0 | 0.500 | 0 | 0.0 | 0.500 |
I×G | 0.02±0.015 | 17.1 | <0.001 | 0.019±0.011 | 17.1 | <0.001 |
I×G×E | 0.007±0.01 | 0.7 | 0.201 | 0.008±0.011 | 1.1 | 0.147 |
Cone (R)a | 0 | 0.0 | 0.500 | 0 | 0.0 | 0.500 |
Residual | 0.453±0.018 | 0.452±0.018 |
Seedlings were derived from 10 maternal genotypes clonally replicated in two contrasting maternal environments, one favourable and one unfavourable for pine growth and reproduction, four weeks after inoculation with the Fusarium circinatum pathogen or mock inoculation with distilled sterile water. Analyses excluding and including individual seed mass as a covariate are shown. Interaction terms I×E and I×G account for maternal effects and genetic variation, respectively, in seedling resistance to the pathogen, whereas the I×G×E interaction accounts for genetic variation in transgenerational responses. Degrees of freedom (DF) and F-ratios of fixed factors, and variance components (VarComp) and associated χ2 of random factors are shown. Significance (P value) is indicated in bold (P<0.05).
Block was nested within maternal environment and cone was nested within ramet.
Tray was nested within inoculation treatment.