title: The link between segregation and phylogenetic diversity.
abstract: We derive an invertible transform linking two widely used measures of species diversity: phylogenetic diversity and the expected proportions of segregating (non-constant) sites. We assume a bi-allelic (two-state), symmetric, finite site model of substitution. Like the Hadamard transform of Hendy and Penny, the transform can be expressed independently of the underlying phylogeny. Our results bridge work on diversity from two quite distinct scientific communities.
authors.affiliation: Department Mathematics and Statistics, Allan Wilson Center for Molecular Ecology and Evolution, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand. david.bryant@otago.ac.nz
authors.forename: David
authors.initials: D
authors.lastname: Bryant
authors.forename: Steffen
authors.initials: S
authors.lastname: Klaere
mesh_terms: D044822:Biodiversity; D008954:Models, Biological; D015233:Models, Statistical; D010802:Phylogeny