TABLE A1

Expected probabilities of genotypes in IBLs conditioned upon the genotype of the BCi parent

Genotype of BC1
(probability)
Possible genotypes
of the IBLs
Conditional probability of a BC1S3 IBL
[i.e., P(BC1S3 | BC1)]
Conditional probability of a BC2S2 IBL
[i.e., P(BC2S2 | BC1)]
AABB [(1 - θ)/2]aAABB11
AaBB (θ/2)AABB7/1611/16
AaBB1/81/8
aaBB7/163/16
AABb (θ/2)AABB7/1611/16
AABb1/81/8
AAbb7/163/16
AaBb [(1 2 θ)/2]AABB(7 - 14θ + 19θ2 - 20θ3 + 18θ4 - 12θ5 + 4θ6)/16(11 - 11θ + 12θ2 - 10θ3 + 6θ4 - 2θ5)/16
AABb(1 - θ)θ(3 - 6θ + 10θ2 - 8θ3 + 4θ4)/8θ(3 - 6θ + 8θ2 - 6θ3 + 2θ4)/8
AAbbθ(8 - θ - 12θ2 + 18θ3 - 12θ4 + 4θ5)/16θ(5 - 6θ2 + 6θ3 - 2θ4)/16
AaBB(1 - θ)θ(3 - 6θ + 10θ2 - 8θ3 + 4θ4)/8θ(3 - 6θ + 8θ2 - 6θ3 + 2θ4)/8
AaBb(1 - 2θ + 2θ2)3/8(1 - θ)(1 - 2θ + 2θ2)2/8
Aabb(1 - θ)θ(3 - 6θ + 10θ2 - 8θ3 + 4θ4)/8(1 - θ)2 θ(1 - θ + θ2)/4
aaBBθ(8 - θ - 12θ2 + 18θ3 - 12θ4 + 4θ5)/16θ(5 - 6θ2 + 6θ3 - 2θ4)/16
aaBb(1 - θ)θ(3 - 6θ + 10θ2 - 8θ3 + 4θ4)/8(1 - θ)2θ(1 - θ + θ2)/4
aabb(7 - 14θ + 19θ2 - 20θ3 + 18θ4 - 12θ5 + 4θ6)/16(1 - θ)(3 - 6θ + 6θ2 - 4θ3 + 2θ4)/16
  • a θ, recombination fraction.