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. 2016 Dec 14;6:39031. doi: 10.1038/srep39031

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Copyright © 2016, The Author(s)

This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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(a,b) represent topologies of nonsynonymous and synonymous trees, respectively, with the branch lengths corresponding to the relative times (denoted as the proportion of substitutions) in figures (c,d). (c,d) represent LTT plots estimated by reversible-jump Markov chain Monte Carlo (rjMCMC) method (black lines) and a constant birth-death stochastic branching process (SBP, blue lines) based on tree topologies of (A) and (C), respectively. Significant positives of γ-statistic for the SBP-LTT plots denote the late increase of diversification rate in both trees. The x-axes indicate relative time scale since DFR duplication.