Phylogenetic Ornstein-Uhlenbeck regression curves

TL;DR

This paper introduces a new method for estimating regression curves in phylogenetic studies using Ornstein-Uhlenbeck models, combining generalized least-squares and optimization, and applies it to ecological data.

Contribution

It presents a novel algorithm for estimating Ornstein-Uhlenbeck regression curves, integrating generalized least-squares with optimization techniques.

Findings

Algorithm successfully applied to ecological data

Provides improved estimation of trait relationships

Enhances understanding of adaptive evolution models

Abstract

Regression curves for studying trait relationships are developed herein. The adaptive evolution model is considered an Ornstein-Uhlenbeck system whose parameters are estimated by a novel engagement of generalized least-squares and optimization. Our algorithm is implemented to ecological data.