First steps toward the geometry of cophylogeny

2008/09/11 by Huggins, Peter, Owen, Megan, Yoshida, Ruriko
#FOS: Biological sciences #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.0809.1908

Abstract

Here we introduce researchers in algebraic biology to the exciting new field of cophylogenetics. Cophylogenetics is the study of concomitantly evolving organisms (or genes), such as host and parasite species. Thus the natural objects of study in cophylogenetics are tuples of related trees, instead of individual trees. We review various research topics in algebraic statistics for phylogenetics, and propose analogs for cophylogenetics. In particular we propose spaces of cophylogenetic trees, cophylogenetic reconstruction, and cophylogenetic invariants. We conclude with open problems.

Related

• Using invariants for phylogenetic tree construction
• Phylogenetic Networks
• Relevant phylogenetic invariants of evolutionary models
• Phylogenetic invariants: straightforward from the general Markov to equivariant models
• Phylogenetic ideals and varieties for the general Markov model