Analysis of Self-Similarity in Phylogenetic Trees
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Authors
Phelps, Megan
Issue Date
2016
Type
Thesis
Language
en_US
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Abstract
River streams, blood systems, fracture processes in solids, percolation of a liquid through
a porous media are all modeled and studied using tree graphs. In many cases, such tree
networks are self-similar, retaining their statistical structure on different levels of the
hierarchy. The most studied particular class of self-similar trees is so-called Tokunaga
model, which is a two-parameter model for trees with side branching. This project
explores the self-similarity paradigm for the evolutionary “Tree of Life.” The primary
goal of this project is to determine whether self-similarity, Tokunaga self-similarity and
related Horton constraints apply to phylogenetic trees. The results of the project suggest
that phylogenetic trees are self-similar, and satisfy the Horton constraints. We also find
that phylogenetic trees are Tokunaga self-similar, though this result requires further
analysis. Furthermore, our findings suggest that the existing conventional models for
phylogenetic trees do not adequately describe their structure. The findings broaden the
realm of the tree self-similarity concept and provide a useful modeling constraint on
evolutionary trees.
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In Copyright