title: QTL mapping using a memetic algorithm with modifications of BIC as fitness function.
abstract: The problem of locating quantitative trait loci (QTL) for experimental populations can be approached by multiple regression analysis. In this context variable selection  using a modification of the Bayesian Information Criterion (mBIC)  has been well established  in the past. In this article a memetic algorithm (MA) is introduced to find the model which minimizes the selection criterion. Apart from mBIC also a second modification (mBIC2) is considered, which has the property of controlling the false discovery rate.  Given the Bayesian nature of our selection criteria, we are not only interested in finding the best model, but also in computing marker posterior probabilities using all models visited by MA. In a simulation study MA (with mBIC and mBIC2) is compared with a parallel genetic algorithm (PGA) which has been previously suggested for QTL mapping. It turns out that MA  in combination with mBIC2 performs best, where determining QTL positions based on marker posterior probabilities yields even better results than using the best model selected by MA. Finally we consider a real data set from the literature and show that MA can also be extended to multiple interval mapping, which potentially increases the precision with which the exact location of QTLs can be estimated.
authors.affiliation: Medical University Vienna.
authors.forename: Florian
authors.initials: F
authors.lastname: Frommlet
authors.forename: Ivana
authors.initials: I
authors.lastname: Ljubic
authors.forename: Helga Björk
authors.initials: HB
authors.lastname: Arnardóttir
authors.forename: Malgorzata
authors.initials: M
authors.lastname: Bogdan
mesh_terms: D000465:Algorithms; D000818:Animals; D001499:Bayes Theorem; D002874:Chromosome Mapping / Q000379:methods*; D006801:Humans; D008957:Models, Genetic; D040641:Quantitative Trait Loci; D012044:Regression Analysis