The diversity of a distributed genome in bacterial populations

The diversity of a distributed genome in bacterial populations

F. Baumdicker, W. R. Hess, and P. Pfaffelhuber

Source: Ann. Appl. Probab. Volume 20, Number 5 (2010), 1567-1606.

Abstract

The distributed genome hypothesis states that the set of genes in a population of bacteria is distributed over all individuals that belong to the specific taxon. It implies that certain genes can be gained and lost from generation to generation. We use the random genealogy given by a Kingman coalescent in order to superimpose events of gene gain and loss along ancestral lines. Gene gains occur at a constant rate along ancestral lines. We assume that gained genes have never been present in the population before. Gene losses occur at a rate proportional to the number of genes present along the ancestral line. In this infinitely many genes model we derive moments for several statistics within a sample: the average number of genes per individual, the average number of genes differing between individuals, the number of incongruent pairs of genes, the total number of different genes in the sample and the gene frequency spectrum. We demonstrate that the model gives a reasonable fit with gene frequency data from marine cyanobacteria.

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Primary Subjects: 92D15, 60J70, 92D20

Secondary Subjects: 60K35

Keywords: Kingman’s coalescent; infinitely many genes model; infinitely many sites model; gene content

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Permanent link to this document: http://projecteuclid.org/euclid.aoap/1282747394
Digital Object Identifier: doi:10.1214/09-AAP657
Zentralblatt MATH identifier: 05795064
Mathematical Reviews number (MathSciNet): MR2724396

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