M. Frisch et Ae. Melchinger, The length of the intact donor chromosome segment around a target gene in marker-assisted backcrossing, GENETICS, 157(3), 2001, pp. 1343-1356
Recurrent backcrossing is an established procedure to transfer target genes
from a donor into the genetic background of a recipient genotype. By asses
sing the parental origin of alleles at markers flanking the target locus on
e can select individuals with a short intact donor chromosome segment aroun
d the target gene and thus reduce the linkage drag. We investigated the pro
bability distribution of the length of the intact donor chromosome segment
around the target gene in recurrent backcrossing with selection for heteroz
ygosity at the target locus and homozygosity for the recurrent parent allel
e at flanking markers for a diploid species. Assuming no interference in cr
ossover formation, we derived the cumulative density function, probability
density function, expected value, and variance of the length of the intact
chromosome segment for the following cases: (1) backcross generations prior
to detection of a recombinant individual between the target gene and the f
lanking marker; (2) the backcross generation in which for the first time a
recombinant individual is detected, which is selected for further backcross
ing; and (3) subsequent backcross generations after selection of a recombin
ant. Examples are given of how these results can be applied to investigate
the efficiency of marker-assisted backcrossing for reducing the length of t
he intact donor chromosome segment around the target gene under various sit
uations relevant in breeding and genetic research.