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Journal of Mathematical Biology

, Volume 78, Issue 1–2, pp 117–134 | Cite as

Species notions that combine phylogenetic trees and phenotypic partitions

  • Anica Hoppe
  • Sonja Türpitz
  • Mike SteelEmail author
Article

Abstract

A recent paper (Manceau and Lambert in bioRxiv, 2017.  https://doi.org/10.1101/075580) developed a novel approach for describing two well-defined notions of ‘species’ based on a phylogenetic tree and a phenotypic partition. In this paper, we explore some further combinatorial properties of this approach and describe an extension that allows an arbitrary number of phenotypic partitions to be combined with a phylogenetic tree for these two species notions.

Keywords

Phylogenetic tree Partition lattice Species 

Mathematics Subject Classification

05C05 06A07 92D15 

Notes

Acknowledgements

We thank Amaury Lambert for helpful discussions, Mareike Fischer for comments on an earlier version of this paper, and the (former) Allan Wilson Centre for funding this work. We also thank the two anonymous reviewers for several helpful comments.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Institute of Mathematics and Computer ScienceErnst-Moritz-Arndt UniversityGreifswaldGermany
  2. 2.Biomathematics Research CentreUniversity of CanterburyChristchurchNew Zealand

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