# Species notions that combine phylogenetic trees and phenotypic partitions

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## 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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