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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+QM-; 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.