Work

Modeling the Phylogenetic Rates of Continuous Trait Evolution: An Autoregressive–Moving-Average Model Approach

Year: 2024

Type: article

Abstract: The rate of evolution plays a crucial role in understanding the pace at which species evolve. Various statistical models have been developed to estimate the rate parameters for a group of related species evolving along a phylogenetic tree. Existing models often assume the independence of the rate parameters; however, this assumption may not account for scenarios where the rate of evolution correlates with its evolutionary history. We propose using the autoregressive-moving-average (ARMA) model for modeling the rate of evolution along the tree, hypothesizing that rates between two successive generations (ancestor-descendant) are time dependent and correlated along the tree. We denote \texttt{phyrateARMA}$(p,q)$ as a phylogenetic ARMA($p$,$q$) model in our innovation. Our algorithm begins by utilizing the tree and trait data to estimate the rates on each branch, followed by implementing the ARMA process to infer the relationships between successive rates. We apply our innovation to analyze the primate body mass dataset and plant genome size dataset and test for the autoregressive effect of rate of evolution along the tree.

Source: Mathematics

DOI: 10.3390/math13010111

Author: Dwueng-Chwuan Jhwueng

Institution: Feng Chia University

Language: English

Topic: Evolution and Paleontology Studies

Subfield: Paleontology

Field: Earth and Planetary Sciences

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funder: Ministry of Science and Technology, Taiwan