Issue No. 01 - January-March (2009 vol. 6)

ISSN: 1545-5963

pp: 110-117

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TCBB.2008.37

Magnus Bordewich , University of Durham, Durham

Olivier Gascuel , CNRS-Université Montpellier II, Montpellier

Katharina T. Huber , University of East Anglia , Norwich

Vincent Moulton , University of East Anglia, Norwich

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 {\em balanced minimum evolution (BME)} principle, which computer studies have demonstrated to have high accuracy. FastME includes two variants: {\em balanced subtree prune and regraft (BSPR)} and {\em 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.

INDEX TERMS

phylogenetic tree, subtree prune and regraft (SPR), BSPR algorithm, Nearest Neighbor Interchange (NNI), BNNI algorithm, balanced minimum evolution principle (BME), tree-length, quartet-distance, Robinson Foulds distance, consistency, safety radius, topological move

CITATION

M. Bordewich, V. Moulton, K. T. Huber and O. Gascuel, "Consistency of Topological Moves Based on the Balanced Minimum Evolution Principle of Phylogenetic Inference," in

*IEEE/ACM Transactions on Computational Biology and Bioinformatics*, vol. 6, no. , pp. 110-117, 2008.

doi:10.1109/TCBB.2008.37

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