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Two Gaussian Bridge Processes for Mapping Continuous Trait Evolution along Phylogenetic Trees

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  • Dwueng-Chwuan Jhwueng

    (Department of Statistics, Feng-Chia University, Taichung 40724, Taiwan)

Abstract

Gaussian processes are powerful tools for modeling trait evolution along phylogenetic trees. As the value of a trait may change randomly throughout the evolution, two Gaussian bridge processes, the Brownian bridge (BB) and the Ornstein–Uhlenbeck bridge (OUB), are proposed for mapping continuous trait evolution for a group of related species along a phylogenetic tree, respectively. The corresponding traitgrams to the two bridge processes are created to display the evolutionary trajectories. The novel models are applied to study the body mass evolution of a group of marsupial species.

Suggested Citation

  • Dwueng-Chwuan Jhwueng, 2021. "Two Gaussian Bridge Processes for Mapping Continuous Trait Evolution along Phylogenetic Trees," Mathematics, MDPI, vol. 9(16), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1998-:d:618686
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    References listed on IDEAS

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    1. Nicola Bruti-Liberati, 2007. "Numerical Solution of Stochastic Differential Equations with Jumps in Finance," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2007.
    2. Dwueng-Chwuan Jhwueng, 2013. "Assessing the Goodness of Fit of Phylogenetic Comparative Methods: A Meta-Analysis and Simulation Study," PLOS ONE, Public Library of Science, vol. 8(6), pages 1-12, June.
    3. Jeffrey B Joy & Richard H Liang & Rosemary M McCloskey & T Nguyen & Art F Y Poon, 2016. "Ancestral Reconstruction," PLOS Computational Biology, Public Library of Science, vol. 12(7), pages 1-20, July.
    4. Jhwueng, Dwueng-Chwuan, 2020. "Modeling rate of adaptive trait evolution using Cox–Ingersoll–Ross process: An Approximate Bayesian Computation approach," Computational Statistics & Data Analysis, Elsevier, vol. 145(C).
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