Is the Random Tree Puzzle process the same as the Yule-Harding process?

Sha Zhu; Mike Steel

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arXiv · 1208.0636

Is the Random Tree Puzzle process the same as the Yule-Harding process?

Sha Zhu·Mike Steel

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Abstract

It has been suggested that a Random Tree Puzzle (RTP) process leads to a Yule-Harding (YH) distribution, when the number of taxa becomes large. In this study, we formalize this conjecture, and we prove that the two tree distributions converge for two particular properties, which suggests that the conjecture may be true. However, we present evidence that, while the two distributions are close, the RTP appears to converge on a different distribution than does the YH.

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Sha Zhu, Mike Steel. 2012-08-09. Is the Random Tree Puzzle process the same as the Yule-Harding process?. https://arxiv.org/abs/1208.0636

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