A population genetics model of marker-assisted selection. 1997

Z W Luo, and R Thompson, and J A Woolliams
Institute of Genetics, Fudan University, Shanghai, P.R. China. zwluo@ms.fudan.sh.cn

A deterministic two-loci model was developed to predict genetic response to marker-assisted selection (MAS) in one generation and in multiple generations. Formulas were derived to relate linkage disequilibrium in a population to the proportion of additive genetic variance used by MAS, and in turn to an extra improvement in genetic response over phenotypic selection. Predictions of the response were compared to those predicted by using an infinite-loci model and the factors affecting efficiency of MAS were examined. Theoretical analyses of the present study revealed the nonlinearity between the selection intensity and genetic response in MAS. In addition to the heritability of the trait and the proportion of the marker-associated genetic variance, the frequencies of the selectively favorable alleles at the two loci, one marker and one quantitative trait locus, were found to play an important role in determining both the short- and long-term efficiencies of MAS. The evolution of linkage disequilibrium and thus the genetic response over several generations were predicted theoretically and examined by simulation. MAS dissipated the disequilibrium more quickly than drift alone. In some cases studied, the rate of dissipation was as large as that to be expected in the circumstance where the true recombination fraction was increased by three times and selection was absent.

UI MeSH Term Description Entries
D008432 Mathematical Computing Computer-assisted interpretation and analysis of various mathematical functions related to a particular problem. Statistical Computing,Computing, Statistical,Mathematic Computing,Statistical Programs, Computer Based,Computing, Mathematic,Computing, Mathematical,Computings, Mathematic,Computings, Mathematical,Computings, Statistical,Mathematic Computings,Mathematical Computings,Statistical Computings
D008957 Models, Genetic Theoretical representations that simulate the behavior or activity of genetic processes or phenomena. They include the use of mathematical equations, computers, and other electronic equipment. Genetic Models,Genetic Model,Model, Genetic
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D005819 Genetic Markers A phenotypically recognizable genetic trait which can be used to identify a genetic locus, a linkage group, or a recombination event. Chromosome Markers,DNA Markers,Markers, DNA,Markers, Genetic,Genetic Marker,Marker, Genetic,Chromosome Marker,DNA Marker,Marker, Chromosome,Marker, DNA,Markers, Chromosome
D005828 Genetics, Population The discipline studying genetic composition of populations and effects of factors such as GENETIC SELECTION, population size, MUTATION, migration, and GENETIC DRIFT on the frequencies of various GENOTYPES and PHENOTYPES using a variety of GENETIC TECHNIQUES. Population Genetics
D012641 Selection, Genetic Differential and non-random reproduction of different genotypes, operating to alter the gene frequencies within a population. Natural Selection,Genetic Selection,Selection, Natural
D014644 Genetic Variation Genotypic differences observed among individuals in a population. Genetic Diversity,Variation, Genetic,Diversity, Genetic,Diversities, Genetic,Genetic Diversities,Genetic Variations,Variations, Genetic
D015810 Linkage Disequilibrium Nonrandom association of linked genes. This is the tendency of the alleles of two separate but already linked loci to be found together more frequently than would be expected by chance alone. Disequilibrium, Linkage,Disequilibriums, Linkage,Linkage Disequilibriums

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