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Significance of the length of the shortest tree |
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| Authors: | Michael A Steel Michael D Hendy David Penny |
| Institution: | (1) Department of Mathematics, Massey University, Palmerston North, New Zealand;(2) Department of Mathematics, Massey University, Palmerston North, New Zealand;(3) Department of Botany and Zoology, Massey University, Palmerston North, New Zealand |
| Abstract: | The distribution of lengths of phylogenetic trees under the taxonomic principle of parsimony is compared with the distribution obtained by randomizing the characters of the sequence data. This comparison allows us to define a measure of the extent to which sequence data contain significant hierarchical information. We show how to calculate this measure exactly for up to 10 taxa, and provide a good approximation for larger sets of taxa. The measure is applied to test sequences on 10 and 15 taxa. |
| Keywords: | Binary trees Parsimony Minimum-length tree Fitch's algorithm Distributions |
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