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Phylogenetics

Phylogenetics is the science of the evolutionary relationships among species. It is best visualized in tree-strucutre where the branch lengths correspond to some notion of evolutionary time.

A random tree

Assuming a trait is measured across the tips/leaves of a phylogeny, how can one infer estimates about the values of trait at some ancestral states?

Given a number of traits, observed across the members of a phylogeny, how can you distinguish which traits are due to phylogenetic evolution and which are not (eg. are due to enviormental adaptation)?