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Table 1 Conditional probabilities of QTL genotypes and coefficients of additive and dominance effects for achiasmate and chiasmate F2 populations

From: A new mapping method for quantitative trait loci of silkworm

Marker genotype

Achiasmate F2population2

Chiasmate F2population3

 

QQ 1

Qq

qq

x A

x D

QQ

Qq

qq

M + M + M - M -

s1s2/s

r1r2/s

0

s1s2/s

(r1r 2 - s1s2)/2s

s 1 2s22/s2

2s1s2r1r2/s2

r 1 2r 2 2/s2

M + M + M - m -

s1r2/r

r1r2/r

0

s1r2/r

(r1s 2 - s1r2)/2r

s1s2s1r2/sr

(s1s2r1s2 + r1r2s1r2)/sr

r1r2r1s2/sr

M + M + m - m -

-

-

-

-

-

s 1 2r22/r2

2r1s1r2s2/r2

r12s22/r2

M + m + M - M -

r1s2/r

s1r2/r

0

r1s2/r

(s1r 2 - r1s2)/2r

s1s2r1s2/sr

(s1s2s1r2 + r1r2r1s2)/sr

r1r2s1r2/sr

M + m + M - m -

r1r2/2s

s1s2/s

r1r2/2s

0

(s1s 2 - r1r2)/2s

2 s 1 s 2 r 1 r 2 s 2 + r 2

s 1 2 s 2 2 + r 1 2 r 2 2 + s 1 2 r 2 2 + r 1 2 s 2 2 s 2 + r 2

2 s 1 s 2 r 1 r 2 s 2 + r 2

M + m + m - m -

0

s1r2/r

r1s2/r

-r1s2/r

(s1r 2 - r1s2)/2r

r1r2s1r2/sr

(s1s2s1r2 + r1r2r1s2)/sr

s1s2r1s2/sr

m + m + M - M -

-

-

-

-

-

r 1 2s22/r2

2r1s1r2s2/r2

s 1 2 r 2 2 r 2

m + m + M - m -

0

r1s2/r

s1r2/r

-s1r2/r

(r1s2 - s1r2)/2r

r1r2r1s2/sr

(s1s2r1s2 + r1r2s1r2)/sr

s1s2s1r2/sr

m + m + m - m -

0

r 1 r2/s

s1s2/s

-s1s2/s

(r1r2 - s1s2)/2s

r 1 2r 2 2/s2

2s1s2r1r2/s2

s 1 2 s 2 2/ s 2

  1. 1 r(=r M+M- ), r1(=r M+Q ), r2(=r M-Q ) are recombination rates between marker M+ and marker M-, between M+ and QTL, between M- and QTL, respectively, under the assumption that the order of flanking markers and QTL is M+→Q→M-; s = 1-r, s1 = 1-r1, s2 = 1-r2.
  2. 2 There are no marker genotypes of M + M + m-m- and m + m + M-M- in the achiasmate F2 population, and thus the corresponding conditional probability of QTL genotype is not provided.
  3. 3 Double recombination is considered in calculation of conditional probability for chiasmate F2 popultion.