The n-dimensional hypervolume

Benjamin Blonder, Christine Lamanna, Cyrille Violle, Brian J. Enquist

Research output: Contribution to journalArticle

189 Citations (Scopus)

Abstract

Aim: The Hutchinsonian hypervolume is the conceptual foundation for many lines of ecological and evolutionary inquiry, including functional morphology, comparative biology, community ecology and niche theory. However, extant methods to sample from hypervolumes or measure their geometry perform poorly on high-dimensional or holey datasets. Innovation: We first highlight the conceptual and computational issues that have prevented a more direct approach to measuring hypervolumes. Next, we present a new multivariate kernel density estimation method that resolves many of these problems in an arbitrary number of dimensions. Main conclusions: We show that our method (implemented as the 'hypervolume' R package) can match several extant methods for hypervolume geometry and species distribution modelling. Tools to quantify high-dimensional ecological hypervolumes will enable a wide range of fundamental descriptive, inferential and comparative questions to be addressed.

Original languageEnglish (US)
Pages (from-to)595-609
Number of pages15
JournalGlobal Ecology and Biogeography
Volume23
Issue number5
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

Fingerprint

geometry
functional morphology
community ecology
estimation method
niche
innovation
methodology
niches
biogeography
Biological Sciences
modeling
method
seeds
sampling
distribution
measuring

Keywords

  • Environmental niche modelling
  • Hole
  • Hutchinson
  • Hypervolume
  • Kernel density estimation
  • Morphospace
  • Niche
  • Niche overlap
  • Species distribution modelling

ASJC Scopus subject areas

  • Global and Planetary Change
  • Ecology, Evolution, Behavior and Systematics
  • Ecology

Cite this

Blonder, B., Lamanna, C., Violle, C., & Enquist, B. J. (2014). The n-dimensional hypervolume. Global Ecology and Biogeography, 23(5), 595-609. https://doi.org/10.1111/geb.12146

The n-dimensional hypervolume. / Blonder, Benjamin; Lamanna, Christine; Violle, Cyrille; Enquist, Brian J.

In: Global Ecology and Biogeography, Vol. 23, No. 5, 01.01.2014, p. 595-609.

Research output: Contribution to journalArticle

Blonder, B, Lamanna, C, Violle, C & Enquist, BJ 2014, 'The n-dimensional hypervolume', Global Ecology and Biogeography, vol. 23, no. 5, pp. 595-609. https://doi.org/10.1111/geb.12146
Blonder, Benjamin ; Lamanna, Christine ; Violle, Cyrille ; Enquist, Brian J. / The n-dimensional hypervolume. In: Global Ecology and Biogeography. 2014 ; Vol. 23, No. 5. pp. 595-609.
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