A. Rebai et B. Goffinet, POWER OF TESTS FOR QTL DETECTION USING REPLICATED PROGENIES DERIVED FROM A DIALLEL CROSS, Theoretical and Applied Genetics, 86(8), 1993, pp. 1014-1022
In crop species, most QTL (quantitative trait loci) mapping strategies
use segregating populations derived from an initial cross between two
lines. However, schemes including more than two parents could also be
used. We propose an approach using a high-density restriction fragmen
t length polymorphism (RFLP) map established on six F2 populations der
ived from diallel crosses among four inbred lines and the phenotypic p
erformances of two types of replicated progenies (F3 and topcross). Th
e QTL is supposed to be on the marker locus considered. Three linear m
odel tests for the detection of QTL effects (T1, T2 and T3) are descri
bed and their power studied for the two types of progeny. T1 tests the
global genetic effects of the QTL (additivity and dominance) and T2 t
ests only additive effects assuming dominance is absent when it could
exist. The models of these two tests assume that the main effects of Q
TL alleles are constant in different genetic backgrounds. The additive
model of test T3 considers the six F2 populations independently, and
T3 is the equivalent of the classical mean comparison test if we negle
ct dominance; it uses only contrasts between the homozygote marker cla
sses. The results show that T2 is much more powerful than T3. The powe
r of T1 and T2 depends on the relative sizes of the additive and domin
ance effects, and their comparison is not easy to establish. Neverthel
ess, T2 seems to be the more powerful in most situations, indicating t
hat it is often more interesting to ignore dominance when testing for
a QTL effect. For a given size of genetic effects, the power is affect
ed by the total number of individuals genotyped in F2 and the recombin
ation rate between the marker locus and the putative QTL. The approach
presented in this paper has some drawbacks but could be easily genera
lized to other sizes of diallels and different progeny types.