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Irreducibility and efficiency of ESIP to sample marker genotypes in large pedigrees with loops

Abstract Markov chain Monte Carlo (MCMC) methods have been proposed to overcome computational problems in linkage and segregation analyses. This approach involves sampling genotypes at the marker and trait loci. Among MCMC methods, scalar-Gibbs is the easiest to implement, and it is used in genetics... Full description

Main Author: Schelling Matthias
Contributors: Stricker Christian | Author
Guldbrandtsen Bernt | Author
Fernando Rohan L | Author
Fernández Soledad A | Author
Carriquiry Alicia L | Author
Contained in: Genetics Selection Evolution (01.09.2002)
Journal Title: Genetics Selection Evolution
Fulltext access: Fulltext access (direct link - free access) 10.1186/1297-9686-34-5-537
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Links: Additional Link (dx.doi.org)
Additional Link (doaj.org)
Additional Link (www.gsejournal.org)
Fulltext access (doaj.org)
Fulltext access (doaj.org)
ISSN: 0999-193X
DOI: 10.1186/1297-9686-34-5-537
Language: German
English
French
Physical Description: Online-Ressource
ID (e.g. DOI, URN): 10.1186/1297-9686-34-5-537
PPN (Catalogue-ID): DOAJ020821719
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520 |a Abstract Markov chain Monte Carlo (MCMC) methods have been proposed to overcome computational problems in linkage and segregation analyses. This approach involves sampling genotypes at the marker and trait loci. Among MCMC methods, scalar-Gibbs is the easiest to implement, and it is used in genetics. However, the Markov chain that corresponds to scalar-Gibbs may not be irreducible when the marker locus has more than two alleles, and even when the chain is irreducible, mixing has been observed to be slow. Joint sampling of genotypes has been proposed as a strategy to overcome these problems. An algorithm that combines the Elston-Stewart algorithm and iterative peeling (ESIP sampler) to sample genotypes jointly from the entire pedigree is used in this study. Here, it is shown that the ESIP sampler yields an irreducible Markov chain, regardless of the number of alleles at a locus. Further, results obtained by ESIP sampler are compared with other methods in the literature. Of the methods that are guaranteed to be irreducible, ESIP was the most efficient. 
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