Table 6.
Mixed model of fitness phenotypes in the field
| Fixed effects | Absolute fitness (w/survivorship) | Absolute fitness (w/out survivorship) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Source of variation | df | SS | MS | F | p value | df | SS | MS | F | p value |
| Genotype | 16 | 455453 | 28466 | 2.2 | 4.9E-03 | 16 | 397186 | 24824 | 2.3 | 2.0E-03 |
| Environment | 2 | 88326 | 44163 | 2.2 | – | 2 | 127177 | 63588 | 4.6 | – |
| Treatment | 1 | 1948 | 1948 | 0.2 | – | 1 | 2042 | 2042 | 0.3 | – |
| Geno:Env | 32 | 706781 | 22087 | 1.7 | 0.01 | 32 | 508962 | 15905 | 1.5 | 0.04 |
| Geno:Trt | 16 | 137795 | 8612 | 0.6 | – | 16 | 169036 | 10565 | 1.0 | – |
| Env:Trt | 2 | 2918 | 1459 | 0.1 | – | 2 | 4883 | 2442 | 0.2 | – |
| Geno:Env:Trt | 32 | 348291 | 10884 | 0.8 | – | 32 | 235224 | 7351 | 0.7 | – |
| Random Effects | Absolute fitness (w/survivorship) | Absolute fitness (w/out survivorship) | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Source of variation | df | SS | MS | Chi.sq | p value | df | SS | MS | Chi.sq | p value |
| Plot(Trt:Env) | 1 | 2640 | 2640 | 216.5 | 0 | 1 | 3311 | 3311 | 279.3 | 0 |
| Residual | 1692 | 12581 | 7 | NA | – | 1451 | 10061 | 7 | NA | – |
| Fixed effects | Relative fitness | Survivorship | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Source of variation | df | SS | MS | F | p value | df | SS | MS | F | p value |
| Genotype | 16 | 28 | 2 | 2.7 | 3.9E-04 | 16 | 5 | 0 | 4.9 | 6.9E-10 |
| Environment | 2 | 2 | 1 | 1.0 | – | 2 | 2 | 1 | 9.3 | 0.01 |
| Treatment | 1 | 0 | 0 | 0.2 | – | 1 | 0 | 0 | 1.2 | – |
| Geno:Env | 32 | 39 | 1 | 1.8 | 4.2E-03 | 32 | 9 | 0 | 3.8 | 3.8E-12 |
| Geno:Trt | 16 | 8 | 1 | 0.8 | – | 16 | 1 | 0 | 0.8 | – |
| Env:Trt | 2 | 0 | 0 | 0.1 | – | 2 | 0 | 0 | 0.1 | – |
| Geno:Env:Trt | 32 | 17 | 1 | 0.8 | – | 32 | 3 | 0 | 1.1 | – |
| Random effects | Relative fitness | Survivorship | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Source of variation | df | SS | MS | Chi.sq | p value | df | SS | MS | Chi.sq | p value |
| Plot(Trt:Env) | 1 | 0.1 | 0.1 | 184.5 | 0 | 1 | 0 | 0 | 0 | – |
| Residual | 1692 | 1 | 3.8E-04 | NA | – | 1900 | 0.1 | 3.5E-05 | NA | – |
A linear mixed model was fitted to phenotypes measured on plants grown in the field. Variation was partitioned among the fixed effects, Genotype, Environment, and Treatment as well as a random factor, Plot, inside which Treatment and Environment were nested. Phenotypic data used in the model was collected on 17 genotypes from three environments and two treatment groups. df = degrees of freedom, SS = Type II Sums of Squares variation, MS = Mean Squared variation, F = F statistic. Non-significant p values (>0.05) are represented by a dash.