Table 1 Coefficients of QTL effects based on the conditional probabilities of QTL combinations on two flanking marker genotype for selfing and double back-cross populations of IF2

From: Mixed linear model approach for mapping quantitative trait loci underlying crop seed traits

Design

xAm

xDm

xAo

xDo

xAe

xDe1

xDe2

Selfing of IF2

p1|ij−p8|ij

1−p1|ij−p8|ij

p1|ij+p2|ij−p7|ij−p8|ij

p3|ij+p6|ij

3/2(p1|ij+p2|ij)+1/2(p6|ij−p3|ij)−3/2(p7|ij+p8|ij)

p 6| ij

p 3| ij

IF2 × P1

p1|ij−p4|ij

p2|ij+p3|ij

p1|ij+p2|ij

p3|ij+p4|ij

3/2(p1|ij+p2|ij)−1/2(p3|ij+p4|ij)

0

p3|ij+p4|ij

IF2 × P2

p5|ij−p8|ij

p6|ij+p7|ij

−p7|ij−p8|ij

p5|ij+p6|ij

1/2(p5|ij+p6|ij)−3/2(p7|ij+p8|ij)

p5|ij+p6|ij

0

  1. Abbreviations: IF2, immortalized F2; QTL, quantitative trait locus.
  2. Note that pk|ij is the conditional probability of the k-th QTL genotype combination on the i-th two-locus marker genotype in maternal plant and the j-th two-locus marker genotype in offspring plant. k=1, 2, …, 8 for QQ:QQ(QQQ), Qq:QQ(QQQ), Qq:Qq(Qqq), qq:Qq(Qqq), QQ:Qq(QQq), Qq:Qq(QQq), Qq:qq(qqq) and qq:qq(qqq), respectively.
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