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. 2008 Nov;180(3):1707–1724. doi: 10.1534/genetics.107.082867

TABLE 1.

Conditional frequency of the QTL gamete from F2 given the marker genotype

QTL gametic frequencies
Marker f g Q1Q2 Q1q2 q1Q2 q1q2
M1M1M2M2 Inline graphic 22 (1 − ρ1)(1 – ρ2) (1 − ρ12 ρ1(1 − ρ2) ρ1ρ2
M1M1M2m2 Inline graphic 21 Inline graphic(1 − ρ1) Inline graphic(1 − ρ1) Inline graphicρ1 Inline graphicρ1
M1M1m2m2 Inline graphic 20 (1 – ρ12 (1 – ρ1)(1 – ρ2) ρ1ρ2 ρ1(1 – ρ2)
M1m1M2M2 Inline graphic 12 Inline graphic(1 − ρ2) Inline graphicρ2 Inline graphic(1 − ρ2) Inline graphicρ2
M1m1M2m2 Inline graphic 11 Inline graphic Inline graphic Inline graphic Inline graphic
Inline graphic Inline graphic Inline graphic Inline graphic
M1m1m2m2 Inline graphic 10 Inline graphicρ2 Inline graphic(1 − ρ2) Inline graphicρ2 Inline graphic(1 − ρ2)
m1m1M2M2 Inline graphic 02 ρ1(1 − ρ2) ρ1ρ2 (1 − ρ1)(1 − ρ2) (1 − ρ12
m1m1M2m2 Inline graphic 01 Inline graphicρ1 Inline graphicρ1 Inline graphic(1 – ρ1) Inline graphic(1 − ρ1)
m1m1m2m2 Inline graphic 00 ρ1ρ2 ρ1(1 − ρ2) (1 − ρ12 (1 − ρ1)(1 − ρ2)

f is frequency of marker genotype; g is a coded variable for marker genotypes; ρ1, ρ, ρ2, and ρ12 are the recombination fractions between M1 and Q1, M1 and M2, Q2 and M2, and Q1 and Q2, respectively; ζ = 1 − 2ρ + 2ρ2.