A phylogenetic comparative method for studying multivariate adaptation

DOI10.1016/j.jtbi.2012.08.005zbMath1397.92481OpenAlexW2032058448WikidataQ47198225 ScholiaQ47198225MaRDI QIDQ99910

Krzysztof Bartoszek, Petter Mostad, Jason Pienaar, Staffan Andersson, Thomas F. Hansen, Petter Mostad, Staffan Andersson, Jason Pienaar, Krzysztof Bartoszek, Thomas F. Hansen

Publication date: December 2012

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.08.005

zbMATH Keywords

optimalityOrnstein-Uhlenbeck processadaptationallometrymultivariate phylogenetic comparative method

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of branching processes (60J85) Genetics and epigenetics (92D10) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (15)

Ancestral sequence reconstruction for co-evolutionary models ⋮ A consistent estimator of the evolutionary rate ⋮ Interspecies correlation for neutrally evolving traits ⋮ Phylogenetic effective sample size ⋮ Using the Ornstein-Uhlenbeck process to model the evolution of interacting populations ⋮ The phylogenetic effective sample size and jumps ⋮ Phase transition on the convergence rate of parameter estimation under an Ornstein-Uhlenbeck diffusion on a tree ⋮ Efficient Bayesian inference of general Gaussian models on large phylogenetic trees ⋮ Quantifying the effects of anagenetic and cladogenetic evolution ⋮ Fast likelihood calculation for multivariate Gaussian phylogenetic models with shifts ⋮ Phylogenetic confidence intervals for the optimal trait value ⋮ Global multivariate model learning from hierarchically correlated data ⋮ mvSLOUCH ⋮ A Central Limit Theorem for punctuated equilibrium ⋮ Normal approximation for mixtures of normal distributions and the evolution of phenotypic traits

Uses Software

• R
• ape

Cites Work

• Distribution of branch lengths and phylogenetic diversity under homogeneous speciation models
• New analytic results for speciation times in neutral models
• Analysis of comparative data with hierarchical autocorrelation
• Asymptotic genealogy of a critical branching process
• The conditioned reconstructed process
• Phenotypic evolution studied by layered stochastic differential equations
• Interspecies correlation for neutrally evolving traits
• Allometric morphogenesis of complex systems: Derivation of the basic equations from first principles
• The Sensitivity of the Matrix Exponential
• Computing integrals involving the matrix exponential
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• An equilibrium characterization of the term structure
• A critical branching process model for biodiversity
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.

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