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A New Hierarchy of Phylogenetic Models Consistent with Heterogeneous Substitution Rates.

Michael D Woodhams1, Jesús Fernández-Sánchez2, Jeremy G Sumner2

  • 1School of Physical Sciences, University of Tasmania, Hobart, TAS 7005, Australia and Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain michael.woodhams@utas.edu.au.

Systematic Biology
|April 11, 2015
PubMed
Summary
This summary is machine-generated.

Phylogenetic methods using DNA substitution models face inconsistencies when evolutionary processes change. Nonhomogeneous Lie Markov models offer a consistent alternative, outperforming the general time-reversible model in diverse biological datasets.

Keywords:
Lie Markov modelsModel selectionModelTestmultiplicative closurephylogenetics

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Area of Science:

  • Evolutionary biology
  • Computational biology
  • Phylogenetics

Background:

  • Standard Markov models for DNA substitutions can be mathematically inconsistent if the substitution process varies over evolutionary time.
  • The general time-reversible (GTR) model and its submodels are prominent examples of such inconsistent models.
  • This inconsistency poses challenges for accurate phylogenetic inference.

Purpose of the Study:

  • To evaluate the performance of nonhomogeneous Lie Markov models as a consistent alternative to standard models.
  • To test a hierarchy of Lie Markov models with varying parameter richness.
  • To compare the efficacy of Lie Markov models against the widely used GTR model.

Main Methods:

  • Testing a range of Lie Markov models with different parameter complexities.
  • Utilizing diverse biological datasets for model evaluation.
  • Benchmarking performance against the general time-reversible (GTR) model.

Main Results:

  • Lie Markov models demonstrate good overall performance compared to the GTR model.
  • The best-performing Lie Markov models incorporated 8-10 parameters.
  • Effective models distinguished between purines and pyrimidines, indicating improved accuracy.

Conclusions:

  • Nonhomogeneous Lie Markov models provide a mathematically consistent framework for phylogenetic analysis, even with changing DNA substitution processes.
  • Models with moderate parameter richness, distinguishing between nucleotide types, offer superior performance.
  • These findings advance the development of more robust phylogenetic inference methods.