S. Vanderbeek et Jam. Vanarendonk, CRITERIA TO OPTIMIZE DESIGNS FOR DETECTION AND ESTIMATION OF LINKAGE BETWEEN MARKER LOCI FROM SEGREGATING POPULATIONS CONTAINING SEVERAL FAMILIES, Theoretical and Applied Genetics, 86(2-3), 1993, pp. 269-280
Construction of a genome map of highly polymorphic markers has become
possible in the past decade. Establishing a complete marker map is an
enormous task. Therefore, designs to map molecular markers should be o
ptimal. Designs to detect and estimate linkage between markers from se
gregating populations were studied. Two measures of design quality wer
e used. The expectation of the maximum lod score indicates the possibi
lity of designs to detect linkage. The accuracy of estimating recombin
ation rate was measured as the probability that the true recombination
rate is in a specified internal given the estimate. Accurate approxim
ate methods were developed for rapid evaluation of designs. Seven fami
ly types (e.g., double backcross) can be distinguished that describe a
ll families in a segregating population. The family type influences th
e expected maximum lod score and the accuracy of estimation. The frequ
ency of favorable family types increased with increasing marker polymo
rphism. At a true recombination rate of 0.20,27 observations on offspr
ing when five alleles were segregating, and 55 observations on offspri
ng when two alleles were segregating, were necessary to obtain an expe
cted maximum lod score of 3. The probability that the true recombinati
on rate was between 0.15 and 0.25, given an estimate of 0.20, was abou
t 0.85 for a design with 40 families with ten offspring and two allele
s segregating and for a design with ten families with ten offspring an
d six alleles segregating. For smaller designs, accuracies were less,
approximate evaluation of accuracy was not justified and, on average,
true recombination rates were much greater than estimated given a spec
ified value for the estimated recombination rate.