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Genealogical Working Distributions for Bayesian Model Testing with Phylogenetic Uncertainty.

Guy Baele1, Philippe Lemey2, Marc A Suchard3

  • 1Department of Microbiology and Immunology, Rega Institute, KU Leuven-University of Leuven, Leuven, Belgium guy.baele@rega.kuleuven.be.

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Summary
This summary is machine-generated.

We developed new methods for Bayesian phylogenetic inference, improving model selection accuracy. Our generalized stepping-stone sampling approach handles complex models and diffuse priors, outperforming existing techniques.

Keywords:
Bayes factorBayesian inferenceMCMCWorking distributioncoalescent modelmarginal likelihoodphylogenetics

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Area of Science:

  • Computational evolutionary biology
  • Bayesian phylogenetics
  • Statistical modeling

Background:

  • Bayes factors and marginal likelihood estimates are crucial for comparing models in Bayesian phylogenetic inference.
  • Path sampling (PS) and stepping-stone sampling (SS) have improved model selection accuracy but face computational demands and numerical issues with diffuse priors.
  • Generalized stepping-stone sampling (GSS) was introduced to improve integration efficiency but was limited by fixed tree topologies.

Purpose of the Study:

  • To extend generalized stepping-stone sampling (GSS) by removing the fixed tree topology assumption.
  • To develop novel 'working' distributions for estimating marginal likelihoods while accounting for phylogenetic uncertainty.
  • To improve the accuracy and computational efficiency of model selection in Bayesian phylogenetics.

Main Methods:

  • Extended GSS by introducing a 'working' distribution on the space of genealogies, relaxing the fixed tree topology constraint.
  • Proposed two distinct 'working' distributions to facilitate the integration process in marginal likelihood estimation.
  • Implemented and tested the extended GSS methods within the BEAST software package.

Main Results:

  • The proposed GSS approaches demonstrated superior accuracy compared to PS and SS in comparing demographic and evolutionary models.
  • Extended GSS successfully estimated marginal likelihoods while accommodating phylogenetic uncertainty.
  • The new GSS methods accurately retrieved marginal likelihoods even with very diffuse priors, unlike PS and SS which showed overestimation.

Conclusions:

  • The extended GSS methods offer a more robust and accurate approach for model selection in Bayesian phylogenetics.
  • These advancements address computational demands and numerical instabilities associated with previous methods, particularly with diffuse priors.
  • The developed methods are available in BEAST, facilitating their application to complex evolutionary and population genetic models.