The diversity of a distributed genome in bacterial populations

DOI10.1214/09-AAP657zbMath1196.92029arXiv0907.2572MaRDI QIDQ1958491

W. R. Hess, Peter Pfaffelhuber, Franz Baumdicker

Publication date: 4 October 2010

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2572

zbMATH Keywords

infinitely many sites modelKingman's coalescentgene contentinfinitely many genes model

Mathematics Subject Classification ID

Problems related to evolution (92D15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (4)

Strong seed-bank effects in bacterial evolution ⋮ The independent loss model with ordered insertions for the evolution of CRISPR spacers ⋮ The site frequency spectrum of dispensable genes ⋮ Mean field dynamics of interaction processes with duplication, loss and copy

Uses Software

• GeneTRACE

Cites Work

• A coalescent process with simultaneous multiple mergers for approximating the gene genealogies of many marine organisms
• Non-equilibrium theory of the allele frequency spectrum
• Degenerate diffusions arising from gene duplication models
• The coalescent
• Mathematical population genetics. I: Theoretical introduction.
• A classification of coalescent processes for haploid exchangeable population models
• Statistical properties of segregating sites
• The frequency spectrum of a mutation, and its age, in a general diffusion model
• Probability Models for DNA Sequence Evolution
• Diffusion models in population genetics
• The Distribution of Gene Frequencies Under Irreversible Mutation

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