Table 2 Expected frequencies of the 16 genotypes of markers A, B, C and D under the epistatic SDL genetic model in a backcross population
From: Linkage group correction using epistatic distorted markers in F2 and backcross populations
Genotype | S1S2 | S1s2 | s1S2 | s1s2 | Observed count ni |
---|---|---|---|---|---|
ABCD | (1−r1)(1−r2)(1−rBC)(1−r3)(1−r4)/d | (1−r1)(1−r2)(1−rBC)r3r4v/d | r1r2(1−rBC)(1−r3)(1−r4)u/d | r1r2(1−rBC)r3r4x/d | n 1 |
ABCd | (1−r1)(1−r2)(1−rBC)(1−r3)r4/d | (1−r1)(1−r2)(1−rBC)r3(1−r4)v/d | r1r2(1−rBC)(1−r3)r4u/d | r1r2(1−rBC)r3(1−r4)x/d | n 2 |
ABcD | (1−r1)(1−r2)rBCr3(1−r4)/d | (1−r1)(1−r2)rBC(1−r3)r4v/d | r1r2rBCr3(1−r4)u/d | r1r2rBC(1−r3)r4x/d | n 3 |
ABcd | (1−r1)(1−r2)rBCr3r4/d | (1−r1)(1−r2)rBC(1−r3)(1−r4)v/d | r1r2rBCr3r4u/d | r1r2rBC(1−r3)(1−r4)x/d | n 4 |
AbCD | (1−r1)r2rBC(1−r3)(1−r4)/d | (1−r1)r2rBCr3r4v/d | r1(1−r2)rBC(1−r3)(1−r4)u/d | r1(1−r2)rBCr3r4x/d | n 5 |
AbCd | (1−r1)r2rBC(1−r3)r4/d | (1−r1)r2rBCr3(1−r4)v/d | r1(1−r2)rBC(1−r3)(1−r4)u/d | r1(1−r2)rBCr3(1−r4)x/d | n 6 |
AbcD | (1−r1)r2(1−rBC)r3(1−r4)/d | (1−r1)r2(1−rBC)(1−r3)r4v/d | r1(1−r2)(1−rBC)r3(1−r4)u/d | r1(1−r2)(1−rBC)(1−r3)r4x/d | n 7 |
Abcd | (1−r1)r2(1−rBC)r3r4/d | (1−r1)r2(1−rBC)(1−r3)(1−r4)v/d | r1(1−r2)(1−rBC)r3r4u/d | r1(1−r2)(1−rBC)(1−r3)(1−r4)x/d | n 8 |
aBCD | r1(1−r2)(1−rBC)(1−r3)(1−r4)/d | r1(1−r2)(1−rBC)r3r4v/d | (1−r1)r2(1−rBC)(1−r3)(1−r4)u/d | (1−r1)r2(1−rBC)r3r4x/d | n 9 |
aBCd | r1(1−r2)(1−rBC)(1−r3)r4/d | r1(1−r2)(1−rBC)r3(1−r4)v/d | (1−r1)r2(1−rBC)(1−r3)r4u/d | (1−r1)r2(1−rBC)r3(1−r4)x/d | n 10 |
aBcD | r1(1−r2)rBCr3(1−r4)/d | r1(1−r2)rBC(1−r3)r4v/d | (1−r1)r2rBCr3(1−r4)u/d | (1−r1)r2rBC(1−r3)r4x/d | n 11 |
aBcd | r1(1−r2)rBCr3r4/d | r1(1−r2)rBC(1−r3)(1−r4)v/d | (1−r1)r2rBCr3r4u/d | (1−r1)r2rBC(1−r3)(1−r4)x/d | n 12 |
abCD | r1r2rBC(1−r3)(1−r4)/d | r1r2rBCr3r4v/d | (1−r1)(1−r2)rBC(1−r3)(1−r4)u/d | (1−r1)(1−r2)rBCr3r4x/d | n 13 |
abCd | r1r2rBC(1−r3)r4/d | r1r2rBCr3(1−r4)v/d | (1−r1)(1−r2)rBC(1−r3)r4u/d | (1−r1)(1−r2)rBCr3(1−r4)x/d | n 14 |
abcD | r1r2(1−rBC)r3(1−r4)/d | r1r2(1−rBC)(1−r3)r4v/d | (1−r1)(1−r2)(1−rBC)r3(1−r4)u/d | (1−r1)(1−r2)(1−rBC)(1−r3)r4x/d | n 15 |
abcd | r1r2(1−rBC)r3r4/d | r1r2(1−rBC)(1−r3)(1−r4)v/d | (1−r1)(1−r2)(1−rBC)r3r4u/d | (1−r1)(1−r2)(1−rBC)(1−r3)(1−r4)x/d | n 16 |