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Genetics, Vol. 168, 513-523, September 2004, Copyright © 2004
doi:10.1534/genetics.103.023358
Toward a Theory of Marker-Assisted Gene Pyramiding
Bertrand Servin*,
Olivier C. Martin
,
Marc Mézard
and
Frédéric Hospital*,1
* UMR de Génétique Végétale INRA/CNRS/UPSud/INAP-G, Ferme du Moulon, 91190 Gif-sur-Yvette, France
Laboratoire de Physique Théorique et Modèles Statistiques, Bâtiment 100, Université Paris-Sud, 91405 Orsay Cedex, France
1 Corresponding author: Station de Génétique Végétale, INRA/UPS/INA-PG, Ferme du Moulon, 91190 Gif-sur-Yvette, France.
E-mail: fred{at}moulon.inra.fr
We investigate the best way to combine into a single genotype a series of target genes identified in different parents (gene pyramiding). Assuming that individuals can be selected and mated according to their genotype, the best method corresponds to an optimal succession of crosses over several generations (pedigree). For each pedigree, we compute the probability of success from the known recombination fractions between the target loci, as well as the number of individuals (population sizes) that should be genotyped over successive generations until the desired genotype is obtained. We provide an algorithm that generates and compares pedigrees on the basis of the population sizes they require and on their total duration (in number of generations) and finds the best gene-pyramiding scheme. Examples are given for eight target genes and are compared to a reference genotype selection method with random mating. The best gene-pyramiding method combines the eight targets in three generations less than the reference method while requiring fewer genotypings.
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