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Methodology for estimating the abundance of rare animals: Seabird nesting on North East Herald Cay

Methodology for estimating the abundance of rare animals: Seabird nesting on North East Herald Cay
Methodology for estimating the abundance of rare animals: Seabird nesting on North East Herald Cay
We discuss the problem of estimating the number of nests of different species of seabirds on North East Herald Cay based on the data from a 1996 survey of quadrats along transects and data from similar past surveys. We consider three approaches based on different plausible models, namely a conditional negative binomial model that allows for additional zeroes in the data, a weighting approach (based on a heteroscedastic regression model), and a transform-both-sides regression approach.
We find that the conditional negative binomial approach and a linear regression approach work well but that the transform-both-sides approach should not be used. We apply the conditional negative binomial and linear regression approaches with poststratification based on data quality and availability to estimate the number of frigatebird nests on North East Herald Cay.
finite population parameter, heteroscedastic regression model, model-based estimation, negative binomial model, transform-both-sides model, weighting, zero inflation
22-30
Welsh, A.H.
27640871-afff-4d45-a191-8a72abee4c1a
Cunningham, R.B.
21a9c897-3e6d-47ad-9124-3e03500c854d
Chambers, R.L.
df4b494f-3260-4198-8137-3bf1d9c60fa2
Welsh, A.H.
27640871-afff-4d45-a191-8a72abee4c1a
Cunningham, R.B.
21a9c897-3e6d-47ad-9124-3e03500c854d
Chambers, R.L.
df4b494f-3260-4198-8137-3bf1d9c60fa2

Welsh, A.H., Cunningham, R.B. and Chambers, R.L. (2000) Methodology for estimating the abundance of rare animals: Seabird nesting on North East Herald Cay. Biometrics, 56 (1), 22-30. (doi:10.1111/j.0006-341X.2000.00022.x).

Record type: Article

Abstract

We discuss the problem of estimating the number of nests of different species of seabirds on North East Herald Cay based on the data from a 1996 survey of quadrats along transects and data from similar past surveys. We consider three approaches based on different plausible models, namely a conditional negative binomial model that allows for additional zeroes in the data, a weighting approach (based on a heteroscedastic regression model), and a transform-both-sides regression approach.
We find that the conditional negative binomial approach and a linear regression approach work well but that the transform-both-sides approach should not be used. We apply the conditional negative binomial and linear regression approaches with poststratification based on data quality and availability to estimate the number of frigatebird nests on North East Herald Cay.

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Published date: 2000
Keywords: finite population parameter, heteroscedastic regression model, model-based estimation, negative binomial model, transform-both-sides model, weighting, zero inflation

Identifiers

Local EPrints ID: 34164
URI: http://eprints.soton.ac.uk/id/eprint/34164
PURE UUID: 90283f6c-8d9d-4843-9834-a3e59c67bc06

Catalogue record

Date deposited: 25 Jul 2006
Last modified: 15 Mar 2024 07:46

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Contributors

Author: A.H. Welsh
Author: R.B. Cunningham
Author: R.L. Chambers

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