A new phylogenetic reconstruction method based on invariants

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Defense date2005
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Abstract
An attempt to use phylogenetic invariants for tree reconstruction was
made at the end of the 80s and the beginning of the 90s by several authors
(the initial idea due to Lake [Lake, 1987] and Cavender and Felsenstein
[Cavender and Felsenstein, 1987]). However, the e±ciency of methods
based on invariants is still in doubt ([Huelsenbeck, 1995], [Jin and Nei, 1990]),
probably because these methods only used few generators of the set of phylogenetic
invariants. The method studied in this paper was first introduced in
[Casanellas et al., 2005] and it is the first method based on invariants that uses
the whole set of generators for DNA data. The simulation studies performed
in this paper prove that it is a very competitive and highly e±cient phylogenetic
reconstruction method, especially for non-homogeneous phylogenetic
trees.
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