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. 2008 Apr 4;38(4):372–389. doi: 10.1007/s10519-008-9201-8

Table 4.

Sibs in different environmental conditions: sib1 in Condition 1 and sib2 in 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 a + i 0 e a+ ½ ib −½ iw 0 0 ½ eb −½ ew [a+ ½ ib − ½ iw] + ½[eb − ew] [a+ ½ i+ ½ iw] + ½[e+ ew]
A1A1 A1A2 a d + c 0 e ½ ab ½ aw ½ d+ ½ cb −½ dw − ½ cw ½ eb −½ ew ½[a+ aw] + ½[db − d+ cb − cw] + ½[eb − ew] ½[ab − aw] + ½[d+ d+ c+ cw] + ½[e+ ew]
A1A1 A2A2 a −a − i 0 e −½ ib a+ ½ iw 0 0 ½ eb −½ ew [aw − ½ i+ ½iw] + ½[eb − ew] [−a− ½ i− ½ iw] + ½[e+ ew]
A1A2 A1A1 d a + i 0 e ½ ab + ½ ib −½ aw − ½ iw ½ db ½ dw ½ eb −½ ew ½[ab − a+ ib − iw] + ½[d+ dw] + ½[eb − ew] ½[a+ a+ i+ iw] + ½[db − dw] + ½[e+ ew]
A1A2 A1A2 d d + c 0 e 0 0 d+ ½ cb −½ cw ½ eb −½ ew [d+ ½ cb − ½ cw] + ½[eb − ew] [d+ ½ c+ ½ cw] + ½[e+ ew]
A1A2 A2A2 d −a − i 0 e −½ ab − ½ ib ½ a+ ½ iw ½ db ½ dw ½ eb −½ ew −½[ab − a+ ib − iw] + ½[d+ dw] + ½[eb − ew] −½[a+ a+ i+ iw] + ½[db − dw] + ½[e+ ew]
A2A2 A1A1 −a a + i 0 e ½ ib −aw − ½ iw 0 0 ½ eb −½ ew −[aw − ½ i+ ½ iw] + ½[eb − ew] [a+ ½ i+ ½ iw] + ½[e+ ew]
A2A2 A1A2 −a d + c 0 e −½ ab −½ aw ½ d+ ½ cb −½ dw − ½ cw ½ eb −½ ew −½[a+ aw] + ½[db − d+ cb − cw] + ½[eb − ew] −½[ab − aw] + ½[d+ d+ c+ cw] + ½[e+ ew]
A2A2 A2A2 −a −a − i 0 e −ab − ½ ib ½ iw 0 0 ½ eb −½ ew −[a+ ½ ib − ½ iw] + ½[eb − ew] [−a− ½ i− ½ iw] + ½[e+ ew]

The main effect for the environmental and the G × E interaction are zero in sib1 and non-zero in sib2