ABCtoolbox: a versatile toolkit for approximate Bayesian computations

By Daniel Wegmann, Christoph Leuenberger, Samuel Neuenschwander, Laurent Excoffier. BMC Bioinformatics, 2010

364 citations recorded by the source corpus.

BackgroundThe estimation of demographic parameters from genetic data often requires the computation of likelihoods. However, the likelihood function is computationally intractable for many realistic evolutionary models, and the use of Bayesian inference has therefore been limited to very simple models. The situation changed recently with the advent of Approximate Bayesian Computation (ABC) algorithms allowing one to obtain parameter posterior distributions based on simulations not requiring likelihood computations.ResultsHere we present ABCtoolbox, a series of open source programs to perform Approximate Bayesian Computations (ABC). It implements various ABC algorithms including rejection sampling, MCMC without likelihood, a Particle-based sampler and ABC-GLM. ABCtoolbox is bundled with, but not limited to, a program that allows parameter inference in a population genetics context and the simultaneous use of different types of markers with different ploidy levels. In addition, ABCtoolbox can also interact with most simulation and summary statistics computation programs. The usability of the ABCtoolbox is demonstrated by inferring the evolutionary history of two evolutionary lineages of Microtus arvalis. Using nuclear microsatellites and mitochondrial sequence data in the same estimation procedure enabled us to infer sex-specific population sizes and migration rates and to find that males show smaller population sizes but much higher levels of migration than females.ConclusionABCtoolbox allows a user to perform all the necessary steps of a full ABC analysis, from parameter sampling from prior distributions, data simulations, computation of summary statistics, estimation of posterior distributions, model choice, validation of the estimation procedure, and visualization of the results.

Subfields: Genetics, Paleontology, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5b1568e733d2060e4ee13469c97ca3fb764e60a3

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In Genetics

  1. Arnaud Estoup
  2. Christian P. Robert
  3. Jean-Marie Cornuet
  4. Thomas Guillemaud
  5. Jean-Michel Marin
  6. Olivier Francois
  7. Heidi E. L. Lischer
  8. Michael G. B. Blum

In Paleontology

  1. Heidi E. L. Lischer
  2. Jerome Kelleher
  3. Christian P. Robert
  4. Olivier Francois
  5. Arnaud Estoup
  6. Thomas Guillemaud
  7. Laurent Excoffier
  8. Jean-Marie Cornuet

In Statistics and Probability

  1. Christian P. Robert
  2. Arnaud Estoup
  3. Jean-Michel Marin
  4. Michael G. B. Blum
  5. MARK A. Beaumont
  6. Jean-Marie Cornuet
  7. Olivier Francois
  8. Thomas Guillemaud

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