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

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A new sampling formula for neutral biodiversity

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Etienne, Rampal S.·2005·Ecology Letters

DOI 10.1111/j.1461-0248.2004.00717.x

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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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Improved estimation of neutral model parameters for multiple samples with different degrees of dispersal limitation
Etienne, R. S. (2009) · Ecology · doi:10.1890/08-0750.1 · Cited by 32
Self-citation

Authors: Etienne, R. S.
Affiliations: University of Groningen (NL)
Corresponding author: Etienne, Rampal S.
ORCID: 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
DOI: 10.1111/j.1461-0248.2004.00717.x
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: green
research.wur.nl
Licence: onlinelibrary.wiley.com/termsAndConditions#vor (vor)
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
Physical Sciences › Mathematics › Applied Mathematics › 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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A new sampling formula for neutral biodiversity

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