2013
DOI: 10.1016/j.mbs.2012.10.005
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A new balance index for phylogenetic trees

Abstract: Several indices that measure the degree of balance of a rooted phylogenetic tree have been proposed so far in the literature. In this work we define and study a new index of this kind, which we call the total cophenetic index: the sum, over all pairs of different leaves, of the depth of their lowest common ancestor. This index makes sense for arbitrary trees, can be computed in linear time and it has a larger range of values and a greater resolution power than other indices like Colless' or Sackin's. We comput… Show more

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Cited by 64 publications
(122 citation statements)
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References 33 publications
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“…Nucleotide substitution saturation was assessed using the Xia’s test 38 . The balance of the phylogenetic tree obtained under the best partitioning scheme was measured using the total cophenetic index 58 . PartitionFinder 59 was used to explore the partitioning schemes and evolutionary models for the standard DNA-based and the protein-based analyses.…”
Section: Methodsmentioning
confidence: 99%
“…Nucleotide substitution saturation was assessed using the Xia’s test 38 . The balance of the phylogenetic tree obtained under the best partitioning scheme was measured using the total cophenetic index 58 . PartitionFinder 59 was used to explore the partitioning schemes and evolutionary models for the standard DNA-based and the protein-based analyses.…”
Section: Methodsmentioning
confidence: 99%
“…Balance has been one of the most studied tree shape metrics [12, 13], usually quantified by a balance index (examples in [1417]), which depends only on tree topology. These indices have been used as tools to both test stochastic models of evolution and departures from them [1824], and to assess the degree of imbalance of real phylogenies [9, 10, 19, 2528].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, the topology of the least possible balanced binary reference taxonomy is a rooted caterpillar, as every internal node (and also the root) has one big descendant clade and one small (with only one node) descendant clade. Borrowing the notion of total cophenetic index for phylogenetic trees (Mir et al, 2013) to measure the balance of reference taxonomies, complete binary trees have indeed the minimum value while rooted caterpillars have the maximum value. Notice, however, that the total cophenetic index of the NCBI Taxonomy (Federhen, 2012(Federhen, , 2015 restricted to the standard taxonomic ranks (Kingdom, Phylum, Class, Order, Family, Genus, and Species) is 206,110,330,551, which represents only 0.00032060% of the interval between the minimum value (727,931) and the maximum value (64,288,827,123,576,010) for the number of taxa in the restricted NCBI Taxonomy.…”
Section: Taxonomic Annotation Using Imbalanced Reference Taxonomiesmentioning
confidence: 99%