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Phylogenetic Invariants and Markov Invariants

Citation

Jarvis, PD and Holland, BR and Sumner, JG, Phylogenetic Invariants and Markov Invariants, Reference Module in Life Sciences, Elsevier, BD Roitberg (ed), Amsterdam, Netherlands, pp. 1-3. ISBN 9780128096338 (2017) [Revised Book Chapter]


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DOI: doi:10.1016/B978-0-12-809633-8.06903-X

Abstract

"Phylogenetics" is the systematic study of reconstructing the past evolutionary history of extant species or taxa, based on present-day data, such as morphologies or molecular information (sequence data). This evolutionary history or phylogeny is ideally represented as a binary tree. In the method of "phylogenetic invariants," a pivotal role is played by certain master functions (the so-called invariants, which give the method its name). The aim is to use the observed data as input for their evaluation, and dependent on the answers, to infer essential features of phylogenetic history without the need for parameter estimation. We compare and contrast "phylogenetic invariants" with "Markov invariants," closely related quantities which we have recently introduced in phylogenetics.

Item Details

Item Type:Revised Book Chapter
Keywords:phylogenetics, invariants, markov invariants
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Biological Mathematics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Biological Sciences
Author:Jarvis, PD (Dr Peter Jarvis)
Author:Holland, BR (Associate Professor Barbara Holland)
Author:Sumner, JG (Dr Jeremy Sumner)
ID Code:112867
Year Published:2017
Deposited By:Mathematics and Physics
Deposited On:2016-12-01
Last Modified:2016-12-05
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