Table 1.
Expected phenotypic means for genotypic groups distinguished with respect to three environmental conditions
| Genotype | Mean | ||
|---|---|---|---|
| Condition 1 | Condition 2 | Condition 3 | |
| A1A1 | τi + a | τi + a + e 1 + i 1 | τi + a + e 2 + i 2 |
| A1A2 | τi + d | τi + d + e 1 + c 1 | τi + d + e 2 + c 2 |
| A2A2 | τi − a | τi − a + e 1 − i 1 | τi − a + e 2 − i 2 |
Note: τi denotes the family-specific intercept, a denotes the additive genotypic value, d denotes the dominance deviation for the heterozygotes, e 1 and e 2 denote the main effects for the environment (i.e., the in- or decrease of the phenotypic mean in Conditions 2 and 3 compared to Condition 1), i 1 and i 2 denote the G × E interaction effects for homozygotes (i.e., the difference between the genotypic values a in Conditions 2 and 3 compared to the genotypic value a in Condition 1, after the main effect for environment is accounted for), and c 1 and c 2 denote the G × E interaction for heterozygotes (i.e., the difference between the dominance effect in Conditions 2 and 3 compared to the dominance effect in Condition 1, once the main effect of the environment is accounted for)