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Phylogenetic Comparative Methods
Evolution is happening all around us. In many cases – lately, due to technological advances in molecular biology – scientists can now describe the evolutionary process in exquisite detail. We understand the genetics, development, and biomechanical processes that link changes in a Galapagos finches’ diet to the shape of their bill. And, in some cases, we can watch as one species splits to become two.
- Author
- Luke Harmon
- Publisher
- University of Idaho
- Source
- LibreTexts
- License
- CC BY
- Language
- EN
- Category
- Basic Sciences
Contents· 105 sections
- 01: A Macroevolutionary Research Program
- 1.0S: 1.S: A Macroevolutionary Research Program (Summary)
- 1.01: Introduction
- 1.02: The roots of comparative methods
- 1.03: A brief Introduction to Phylogenetic Trees
- 1.04: What we can (and can’t) learn about evolutionary history from living species
- 1.05: Overview of the book
- 02: Fitting Statistical Models to Data
- 2.0S: 2.S: Fitting Statistical Models to Data (Summary)
- 2.01: Introduction
- 2.02: Standard Statistical Hypothesis Testing
- 2.03: Maximum Likelihood
- 2.04: Bayesian Statistics
- 2.05: AIC versus Bayes
- 2.06: Models and Comparative Methods
- 03: Introduction to Brownian Motion
- 3.0S: 3.S: Introduction to Brownian Motion (Summary)
- 3.01: Introduction to Brownian Motion
- 3.02: Properties of Brownian Motion
- 3.03: Simple Quantitative Genetics Models for Brownian Motion
- 3.04: Brownian Motion on a Phylogenetic Tree
- 3.05: Multivariate Brownian motion
- 3.06: Simulating Brownian motion on trees
- 04: Fitting Brownian Motion
- 4.01: Introduction
- 4.02: Estimating Rates using Independent Contrasts
- 4.03: Estimating rates using maximum likelihood
- 4.04: Bayesian approach to evolutionary rates
- 4.05: Summary
- 05: Multivariate Brownian Motion
- 5.01: Introduction to Multivariate Brownian Motion
- 5.02: What is evolutionary correlation?
- 5.03: Modeling the evolution of correlated characters
- 5.04: Testing for evolutionary correlations
- 5.05: Multivariate Brownian Motion (Summary)
- 06: Beyond Brownian Motion
- 6.0S: 6.S: Beyond Brownian Motion (Summary)
- 6.01: Introduction to Non-Brownian Motion
- 6.02: Transforming the evolutionary variance-covariance matrix
- 6.03: Variation in rates of trait evolution across clades
- 6.04: Non-Brownian evolution under stabilizing selection
- 6.05: Early Burst Models
- 6.06: Peak Shift Models
- 6.07: Appendix - Deriving an OU model under stabilizing selection
- 07: Models of Discrete Character Evolution
- 7.0S: 7.S: Models of Discrete Character Evolution (Summary)
- 7.01: Limblessness as a discrete trait
- 7.02: Modeling the evolution of discrete states
- 7.03: The Mk Model
- 7.04: The Extended Mk Model
- 7.05: Simulating the Mk model on a tree
- 7.06: R Markdown to Recreate Analyses
- 08: Fitting Models of Discrete Character Evolution
- 8.0S: 8.S: Fitting models of discrete character evolution (Summary)
- 8.01: The Evolution of Limbs and Limblessness
- 8.02: Fitting Mk models to Comparative Data
- 8.03: Using Maximum likelihood to Estimate Parameters of the Mk model
- 8.04: Using Bayesian MCMC to estimate parameters of the Mk model
- 8.05: Exploring Mk - the "total garbage" test
- 8.06: Testing for Differences in the Forwards and Backwards Rate of Character Change
- 8.07: Appendix - Felsenstein's Pruning Algorithm
- 09: Beyond the Mk Model
- 9.0S: 9.S: Beyond the Mk Model (Summary)
- 9.01: The Evolution of Frog Life History Strategies
- 9.02: Beyond the Mk model
- 9.03: Pagel’s λ, δ, and κ
- or through time
- 9.05: Threshold Models
- 9.06: Modeling more than one Discrete Character at a Time
- 9.07: Testing for non-independent evolution of different characters
- 10: Introduction to Birth-Death Models
- 10.0S: 10.S: Introduction to birth-death models (Summary)
- 10.01: Plant Diversity Imbalance
- 10.02: The Birth-Death Model
- 10.03: Birth-death models and phylogenetic trees
- 10.04: Simulating Birth-Death Trees
- 10.05: Tree topology, tree shape, and tree balance under a birth-death model
- 10.06: Lineage-through-Time Plots
- 11: Fitting Birth-Death Models
- 11.0S: 11.S: Fitting Birth-Death Models (Summary)
- 11.01: Hotspots of Diversity
- 11.02: Clade Age and Diversity
- 11.03: Tree Balance
- 11.04: Fitting birth-death models to branching times
- 11.05: Sampling and birth-death models
- 12: Beyond Birth-Death models
- 12.0S: 12.S: Beyond Birth-Death Models (Summary)
- 12.01: Capturing Variable Evolution
- 12.02: Variation in Diversification Rates across Clades
- 12.03: Variation in Diversification Rates through Time
- 12.04: Diversity-Dependent Models
- 12.05: Protracted Speciation
- 13: Characters and Diversification Rates
- 13.0S: 13.S: Characters and Diversification Rates (Summary)
- 13.01: The Evolution of Self-Incompatibility
- 13.02: A State-Dependent Model of Diversification
- 13.03: Calculating Likelihoods for State-Dependent Diversification Models
- 13.04: ML and Bayesian Tests for State-Dependent Diversification
- 13.05: Potential Pitfalls and How to Avoid Them
- 14: What have we learned from the trees
- 14.0S: 14.S: What have we learned from the trees? (Summary)
- 14.01: The Lorax
- 14.02: What We Have Learned so Far
- 14.03: Where Can we go Next?
- 14.04: A hint at the future of comparative methods