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

Dwueng-Chwuan Jhwueng
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Dwueng-Chwuan Jhwueng: Department of Statistics, Feng-Chia University, Taichung 40724, Taiwan

Mathematics, 2021, vol. 9, issue 16, 1-14

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.

Keywords: Gaussian process; Brownian bridge; Ornstein–Uhlenbeck bridge; phylogenetics; trait evolution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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