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

  1. d=[rBC(r2+r3−2r2r3)+(1−rBC)(1−r2r3+2r2r3)](1+x)+[(1−rBC)(r2+r3−2r2r3)+rBC(1−r2r3+2r2r3)](v+u).