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Performance of a new invariants method on homogeneous and non-homogeneous quartet trees

2006/10/17 by Marta Casanellas, Casanellas, Marta, Jesús Fernández-Sánchez +1
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Genetic diversity and population structure #Genomics and Phylogenetic Studies #Plant Taxonomy and Phylogenetics #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.q-bio/0610030

openalex publication_date 2006/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 and Cavender and Felsenstein in 1987. However, the efficiency of methods based on invariants is still in doubt, probably because these methods only used few generators of the set of phylogenetic invariants. The method studied in this paper was first introduced by Casanellas, Garcia and Sullivant 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 efficient phylogenetic reconstruction method, especially for non-homogeneous models on phylogenetic trees.

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