Subtree moments in random phylogenetic trees

Thompson, Ariadne (2023) Subtree moments in random phylogenetic trees. Doctoral thesis, University of East Anglia.

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Null models for randomly generating trees are useful for detecting and understanding evolutionary processes in real phylogenetic trees. The two most
commonly used null models are the Yule-Harding-Kingman (YHK) and Proportional to Distinguishable Arrangements (PDA) models. We investigate the trees generated under these two models through the lens of subtrees, which are small recurring structures inside trees. Through a recursive approach, we obtain exact results for the joint and marginal statistical distributions of subtrees in trees generated under both models, in both rooted and unrooted trees, and for subtrees with up to four leaves (cherries, pitchforks, 4-caterpillars, and crabs). Furthermore, we present more limited marginal results for subtrees with arbitrarily many leaves.

Item Type: Thesis (Doctoral)
Faculty \ School: Faculty of Science > School of Computing Sciences
Depositing User: Nicola Veasy
Date Deposited: 02 Jul 2024 08:28
Last Modified: 02 Jul 2024 08:28


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