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Markov chain Monte Carlo methods for family trees using a parallel processor
Authors:Russell Bradford  Alun Thomas
Institution:(1) School of Mathematical Sciences, University of Bath, BA2 7AY Bath, UK;(2) Myriad Genetics, 390 Wakara Way, 84108 Salt Lake City, Utah, USA
Abstract:A 1024 CPU parallel computer is used to obtain simulated genotypes in the Tristan da Cunha pedigree using random local updating methods. A four-colour theorem is invoked to justify simultaneous updating. Multiple copies of the program are run simultaneously. These results are used to infer the source of the B allele of the ABO blood group that is present in the population.
Keywords:Ancestral inference  Gibbs sampling  massively parallel  pedigree analysis
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