An algebraic analysis of the two state Markov model on tripod trees

作者：Klaere Steffen^*; Liebscher Volkmar

来源：Mathematical Biosciences, 2012, 237(1-2): 38-48.

DOI：10.1016/j.mbs.2012.03.001

• Phylogenetics
• Identifiability
• Invariant
• Two-state-model

Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. %26lt;br%26gt;Here, we investigate the two-state Markov model on a tripod tree, inferring conditions under which a given set of observations gives rise to such a model. This type of investigation has been undertaken before by several scientists from different fields of research. %26lt;br%26gt;In contrast to other work we fully analyse the model, presenting conditions under which one can infer a model from the observation or at least get support for the tree-shaped interdependence of the leaves considered. %26lt;br%26gt;We also present all conditions under which the results can be extended from tripod trees to quartet trees, a step necessary to reconstruct at least a topology. Apart from finding conditions under which such an extension works we discuss example cases for which such an extension does not work.

• 出版日期2012-6