Videos

Using Algebraic Geometry for Phylogenetic Reconstruction

Presenter
March 8, 2007
Keywords:
  • Algebraic geometry
MSC:
  • 70G55
Abstract
Many statistical models of evolution can be viewed as algebraic varieties. The generators of the ideal associated to a model and a phylogenetic tree are called invariants. The invariants of an statistical model of evolution should allow to determine what is the tree formed by a set of living species. We will present a method of phylogenetic inference based on invariants and we will discuss why algebraic geometry should be considered as a powerful tool for phylogenetic reconstruction. The performance of the method has been studied for quartet trees and the Kimura 3-parameter model and it will be compared to widely known phylogenetic reconstruction methods such as Maximum likelihood estimate and Neighbor-Joining.