Consistency of Topological Moves Based on the Balanced Minimum Evolution Principle of Phylogenetic Inference

Bordewich, Magnus, Gascuel, Olivier, Huber, Katharina T. and Moulton, Vincent ORCID: https://orcid.org/0000-0001-9371-6435 (2009) Consistency of Topological Moves Based on the Balanced Minimum Evolution Principle of Phylogenetic Inference. IEEE/ACM Transactions on Computational Biology and Bioinformatics, 6 (1). pp. 110-117. ISSN 1545-5963

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Abstract

Many phylogenetic algorithms search the space of possible trees using topological rearrangements and some optimality criterion. FastME is such an approach that uses the balanced minimum evolution (BME) principle, which computer studies have demonstrated to have high accuracy. FastME includes two variants: balanced subtree prune and regraft (BSPR) and balanced nearest neighbor interchange (BNNI). These algorithms take as input a distance matrix and a putative phylogenetic tree. The tree is modified using SPR or NNI operations, respectively, to reduce the BME length relative to the distance matrix, until a tree with (locally) shortest BME length is found. Following computer simulations, it has been conjectured that BSPR and BNNI are consistent, i.e. for an input distance that is a tree-metric, they converge to the corresponding tree. We prove that the BSPR algorithm is consistent. Moreover, even if the input contains small errors relative to a tree-metric, we show that the BSPR algorithm still returns the corresponding tree. Whether BNNI is consistent remains open.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Computing Sciences
Depositing User:	Vishal Gautam
Date Deposited:	07 Mar 2011 13:27
Last Modified:	22 Apr 2023 00:39
URI:	https://ueaeprints.uea.ac.uk/id/eprint/22251
DOI:	10.1109/TCBB.2008.37

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