TABLE 3

Conditional probabilities of joint maternal-offspring QTL genotypes given maternal marker genotypes of the same interval in a backcross design

Marker genotypeQq(t)QQ(t + 1)Qq(t)Qq(t + 1)Qq(t)qq(t + 1)qq(t)QQ(t + 1)qq(t)Qq(t + 1)qq(t)qq(t + 1)
MηmηMη+1mη+1Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
Mηmηmη+1mη+1Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
mηmηMη+1mη+1Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
mηmηmη+1mη+1Embedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image
  • r1, r2, and r3 are the recombination fractions between marker ℳη and the maternal QTL, between the maternal and offspring QTL, and between the offspring QTL and ℳη+1, respectively, and r is the recombination fraction between the two markers. p1 = 1/2(1 − r1)(1 − r2)(1 − r3), p2 = 1/2(1 − r1)r2r3, p3 = 1/2r1r2(1 − r3), p4 = 1/2r1(1 − r2)r3, p5 = 1/2(1 − r1)(1 − r2)r3, p6 = 1/2(1 − r1)r2 (1 − r3), p7 = 1/2r1r2r3, and p8 = 1/2r1(1 − r2)(1 − r3).