Table 3.
Both sibs in environmental Condition 2
| Genotype | Genotypic effect | Environmental effect | Additive and interaction | Dominance and interaction | Environment | Partitioned effects | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Sib1 | Sib2 | Sib1 | Sib2 | Sib1 | Sib2 | Between mean | Within diff/2 | Between mean | Within diff/2 | Between mean | Within diff/2 | Sib1 (B + W) | Sib2 (B − W) |
| A1A1 | A1A1 | a + i | a + i | e | e | ab + ib | 0 | 0 | 0 | eb | 0 | [ab + ib] + eb | [ab + ib] + eb |
| A1A1 | A1A2 | a + i | d + c | e | e | ½(ab + ib) | ½(aw + iw) | ½(db + cb) | −½(dw + cw) | eb | 0 | ½[ab + aw + ib + iw] + ½[db − dw + cb − cw)] + eb | ½[ab − aw + ib − iw] + ½[db + dw + cb + cw] + eb |
| A1A1 | A2A2 | a + i | −a − i | e | e | 0 | aw + iw | 0 | 0 | eb | 0 | [aw + iw] + eb | −[aw + iw] + eb |
| A1A2 | A1A1 | d + c | a + i | e | e | ½(ab + ib) | −½(aw + iw) | ½(db + cb) | ½(dw + cw) | eb | 0 | ½[ab − aw + ib − iw] + ½[db + dw + cb + cw] + eb | ½[ab + aw + ib + iw] + ½[db − dw + cb − cw] + eb |
| A1A2 | A1A2 | d + c | d + c | e | e | 0 | 0 | db + cb | 0 | eb | 0 | [db + cb] + eb | [db + cb] + eb |
| A1A2 | A2A2 | d + c | −a − i | e | e | −½(ab + ib) | ½(aw + iw) | ½(db + cb) | ½(dw + cw) | eb | 0 | −½[ab − aw + ib − iw] + ½[db + dw + cb + cw] + eb | −½[ab + aw + ib + iw] + ½[db − dw + cb − cw)] + eb |
| A2A2 | A1A1 | −a − i | a + i | e | e | 0 | −(aw + iw) | 0 | 0 | eb | 0 | −[aw + iw] + eb | [aw + iw] + eb |
| A2A2 | A1A2 | −a − i | d + c | e | e | −½(ab + ib) | −½(aw + iw) | ½(db + cb) | −½(dw + cw) | eb | 0 | −½[ab + aw + ib + iw] + ½[db − dw + cb − cw] + eb | −½[ab − aw + ib − iw] + ½[db + dw + cb + cw)] + eb |
| A2A2 | A2A2 | −a − i | −a − i | e | e | −(ab + ib) | 0 | 0 | 0 | eb | 0 | −[ab + ib] + eb | −[ab + ib] + eb |
The main effect for the environmental and the G × E interaction are non-zero in both sibs