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Bayesian Cross-Validation Comparison of Amino Acid Replacement Models: Contrasting Profile Mixtures, Pairwise

Thomas Bujaki1, Nicolas Rodrigue2,3

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|October 7, 2022
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Amino acid replacement models are crucial for phylogenetic inference. Mixture models, especially Dirichlet process-based ones, offer superior predictive power for evolutionary relationships compared to single-matrix models.

Keywords:
Dirichlet processEmpirical modelsFinite mixturePattern heterogeneityPhylogenetics

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Area of Science:

  • Evolutionary biology
  • Bioinformatics
  • Computational phylogenetics

Background:

  • Amino acid replacement models are fundamental to phylogenetic inference, especially for deep evolutionary history.
  • Traditional models used single, empirically derived matrices to limit inference complexity.
  • Modern phylogenetics increasingly uses complex models to account for data size and evolutionary heterogeneity.

Purpose of the Study:

  • To systematically compare the predictive power of various amino acid replacement models.
  • To quantify the contribution of different modeling aspects, such as mixtures and rate variation.
  • To evaluate the performance of empirical vs. free mixtures and Dirichlet process models.

Main Methods:

  • Bayesian cross-validation was employed to assess model performance.
  • Different modeling components (e.g., single matrices, mixtures, rate variation) were systematically activated and deactivated.
  • Model performance was evaluated on real biological data sets.

Main Results:

  • Amino acid mixture models generally outperform single-matrix models, even those with gamma-distributed rates.
  • Free finite mixture models consistently showed better predictive power than empirical finite mixtures.
  • Dirichlet process-based infinite mixture models demonstrated the highest performance across most datasets.

Conclusions:

  • Mixture models significantly enhance phylogenetic inference accuracy by capturing across-site heterogeneity.
  • Free mixture models are preferable to empirical ones for modeling amino acid substitutions.
  • Dirichlet process mixtures represent a powerful approach for complex evolutionary modeling in phylogenetics.