Title:

Models of relative abundance distributions. 1, Model fitting by stochastic models

Subtitle:

Relative abundance distributions ; Model fitting by stochastic models

Creator:

Ulrich, Werner

Contributor:

Polish Academy of Sciences. Institute of Ecology

Publisher:

Polish Academy of Sciences. Institute of Ecology. Publishing Office

Place of publishing:

Dziekanów Leśny

Date issued/created:

2001

Description:

Pages 145-157 : illustrations ; 27 cm ; Bibliographical references (pages 156-157)

Type of object:

Journal/Article

Subject and Keywords:

relative abundance distributions ; power fraction ; random fraction ; Sugihara fraction ; Zipf-Mandelbrot distribution ; model fit ; least squares ; confidence limits ; sample size

Abstract:

The present paper studies possibilities to discriminate between 9 stochastic models of relative abundance distributions (RADs). It develops a new test statistic: for fitting based on least square distances and tests the applicability of methods described so far. The paper identifies three basic shapes of RADs termed power fraction, random assortment and Zipf-Mandelbrot type shape. It is shown that even a correct identification of the shape of a given data set requires that this data set is replicated more than 10 times. Estimates of necessary sample sizes for real animal or plant communities revealed that for communities with 20 to 100 species at least 200 to 500 times the species number is necessary for a correct model identification. The implications of these findings for the applicability of models of relative abundance distributions are discussed.

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Relation:

Polish Journal of Ecology

Volume:

49

Issue:

2

Start page:

145

End page:

157

Resource type:

Text

Detailed Resource Type:

Article

Resource Identifier:

ISSN 1505-2249

Source:

MiIZ PAN, call no. P.2840 ; click here to follow the link

Language:

eng

Language of abstract:

Rights:

Creative Commons Attribution BY 3.0 PL license

Terms of use:

Copyright-protected material. [CC BY 3.0 PL] May be used within the scope specified in Creative Commons Attribution BY 3.0 PL license, full text available at: ; -

Digitizing institution:

Museum and Institute of Zoology of the Polish Academy of Sciences

Original in:

Library of the Museum and Institute of Zoology of the Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open