Modelling the abundance of rare species: statistical models for counts with extra zeros

Modelling the abundance of rare species: statistical models for counts with extra zeros We consider several statistical models for the analysis of the abundance of a rare species and these are illustrated in detail with data for the abundance of Leadbeater's Possum in montane ash forests of south-eastern Australia. These data are characterised by a discrete distribution with the zero class inflated. In many statistical problems the parameters of this distribution depend on covariates, such as the number of hollow bearing trees. We advocate a conditional model which is simple to interpret and readily fitted. We show how to obtain standard errors for the parameter estimates. We also show how to estimate the mean abundance of animals at a site. The methods outlined in this paper offer a powerful framework for the study of problems having a discrete response (like abundance) with the zero class inflated. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Ecological Modelling Elsevier

Modelling the abundance of rare species: statistical models for counts with extra zeros

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Publisher
Elsevier
Copyright
Copyright © 1996 Elsevier Ltd
ISSN
0304-3800
eISSN
1872-7026
DOI
10.1016/0304-3800(95)00113-1
Publisher site
See Article on Publisher Site

Abstract

We consider several statistical models for the analysis of the abundance of a rare species and these are illustrated in detail with data for the abundance of Leadbeater's Possum in montane ash forests of south-eastern Australia. These data are characterised by a discrete distribution with the zero class inflated. In many statistical problems the parameters of this distribution depend on covariates, such as the number of hollow bearing trees. We advocate a conditional model which is simple to interpret and readily fitted. We show how to obtain standard errors for the parameter estimates. We also show how to estimate the mean abundance of animals at a site. The methods outlined in this paper offer a powerful framework for the study of problems having a discrete response (like abundance) with the zero class inflated.

Journal

Ecological ModellingElsevier

Published: Jul 1, 1996

References

  • Models for truncated counts
    Grogger, J.T.; Carson, R.T.

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