Cited by 263Ecology and Vegetation Dynamics StudiesMathematical and Theoretical Epidemiology and Ecology ModelsMicrobial Community Ecology and Physiology

A new sampling formula for neutral biodiversity

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Etienne, Rampal S.·2005·Ecology Letters

Abstract

The neutral model of biodiversity, proposed by Hubbell (The Unified Neutral Theory of Biodiversity and Biogeography, Princeton University Press, Princeton, NJ, 2001) to explain the diversity of functionally equivalent species, has been subject of hot debate in community ecology. Whereas Hubbell studied the model mostly by simulations, recently analytical treatments have yielded expressions of the expected number of species of a particular abundance in a local community with dispersal limitation. Moreover, a formula has been offered for the joint likelihood of observing a given species‐abundance dataset in a local community with dispersal limitation, but this formula is too complicated to allow practical applications. Here, I present a much simplified expression that can be regarded as an enhanced version of the famous Ewens sampling formula. It can be used in maximum likelihood methods for quick estimation of the model parameters, using all information in the data, and for model comparison. I also show how to rapidly generate examples of species‐abundance distributions for a given set of model parameters and how to calculate Simpson's diversity index.

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Crossref · 10.1111/j.1461-0248.2004.00717.x

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Authors
Etienne, R. S.
Affiliations
University of Groningen (NL)
Corresponding author
Etienne, Rampal S.
Venue
Ecology Letters
Publisher
Wiley
Published
2005-02-03
Volume
8
Issue
3
Pages
253-260
ISSN
  • 1461-023X (ISSN-L)
  • 1461-0248
OpenAlex
W2113373525
Cited by
263
References
39
Citations by year
2026: 3 · 2025: 7 · 2024: 4 · 2023: 4 · 2022: 9 · 2021: 7 · 2020: 11 · 2019: 15 · 2018: 7 · 2017: 17 · 2016: 14 · 2015: 9 · 2014: 18 · 2013: 9 · 2012: 14
FWCI
16.59
Type
journal article
Language
en
Open access
Locations
  • Ecology Letters (publishedVersion)
  • University of Groningen research database (University of Groningen / Centre for Information Technology) (publishedVersion)
  • Socio-Environmental Systems Modeling (acceptedVersion)
  • University of Groningen research database (University of Groningen / Centre for Information Technology) (submittedVersion)
  • Data Archiving and Networked Services (DANS) (submittedVersion)
Topics
  • Physical Sciences › Environmental Science › Nature and Landscape Conservation › Ecology and Vegetation Dynamics Studies
  • Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
  • Physical Sciences › Environmental Science › Ecology › Microbial Community Ecology and Physiology
Keywords
neutral theory of biodiversity, Ewens sampling formula, species abundance distribution, dispersal limitation, maximum likelihood estimation, model comparison, Simpson index, species abundance data, local communities

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