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Semiparametric bivariate zero-inflated Poisson models with application to studies of abundance for multiple species

Environmetrics

By:
, , , and
DOI: 10.1002/env.1142

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Abstract

Ecological studies involving counts of abundance, presence–absence or occupancy rates often produce data having a substantial proportion of zeros. Furthermore, these types of processes are typically multivariate and only adequately described by complex nonlinear relationships involving externally measured covariates. Ignoring these aspects of the data and implementing standard approaches can lead to models that fail to provide adequate scientific understanding of the underlying ecological processes, possibly resulting in a loss of inferential power. One method of dealing with data having excess zeros is to consider the class of univariate zero-inflated generalized linear models. However, this class of models fails to address the multivariate and nonlinear aspects associated with the data usually encountered in practice. Therefore, we propose a semiparametric bivariate zero-inflated Poisson model that takes into account both of these data attributes. The general modeling framework is hierarchical Bayes and is suitable for a broad range of applications. We demonstrate the effectiveness of our model through a motivating example on modeling catch per unit area for multiple species using data from the Missouri River Benthic Fishes Study, implemented by the United States Geological Survey.

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Semiparametric bivariate zero-inflated Poisson models with application to studies of abundance for multiple species
Series title:
Environmetrics
DOI:
10.1002/env.1142
Volume
23
Issue:
2
Year Published:
2012
Language:
English
Publisher:
Wiley
Publisher location:
Hoboken, NJ
Contributing office(s):
Columbia Environmental Research Center
Description:
14 p.
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Environmetrics
First page:
183
Last page:
196
Country:
United States