Asymptotic guarantees for Bayesian phylogenetic tree reconstruction
Loading...
Files
Date
2025-07-23
Authors
Kirichenko, Alisa
Kelly, Luke J.
Koskela, Jere
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis
Published Version
Abstract
We derive tractable criteria for the consistency of Bayesian tree reconstruction procedures, which constitute a central class of algorithms for inferring common ancestry among DNA sequence samples in phylogenetics. Our results encompass several Bayesian algorithms in widespread use, such as BEAST, MrBayes, and RevBayes. Unlike essentially all existing asymptotic guarantees for tree reconstruction, we require no discretization or boundedness assumptions on branch lengths. Our results are also very flexible, and easy to adapt to variations of the underlying inference problem. We demonstrate the practicality of our criteria on two examples: a Kingman coalescent prior on rooted, ultrametric trees, and an independence prior on unconstrained binary trees, though we emphasize that our result also applies to nonbinary tree models. In both cases, the convergence rate we obtain matches known, frequentist results obtained using stronger boundedness assumptions, up to logarithmic factors. Supplementary materials for this article are available online, including a standardized description of the materials available for reproducing the work.
Description
Keywords
Bayesian methods , Coalescent process , Phylogenetic tree , Posteriorconsistency
Citation
Kirichenko, A., Kelly, L.J. and Koskela, J. (2025) ‘Asymptotic guarantees for Bayesian phylogenetic tree reconstruction’, Journal of the American Statistical Association, pp. 1–11. https://doi.org/10.1080/01621459.2025.2485359
Link to publisher’s version
Collections
Copyright
© 2025 The Author(s). Published with license by Taylor & Francis Group, LLC.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.