Parameter Redundancy in Capture-Recapture-Recovery Models

Hubbard, Ben A. and Cole, Diana J. and Morgan, Byron J. T. (2014) Parameter Redundancy in Capture-Recapture-Recovery Models. Statistical Methodology, 17 . pp. 17-29. ISSN 1572-3127. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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In principle it is possible to use recently-derived procedures to determine whether or not all the parameters of particular complex ecological models can be estimated using classical methods of statistical inference. If it is not possible to estimate all the parameters a model is parameter redundant. Furthermore, one can investigate whether derived results hold for such models for all lengths of study, and also how the results might change for specific data sets. In this paper we show how to apply these approaches to entire families of capture-recapture and capture-recapture-recovery models. This results in comprehensive tables, providing the definitive parameter redundancy status for such models. Parameter redundancy can also be caused by the data rather than the model, and how to investigate this is demonstrated through two applications, one to recapture data on dippers, and one to recapture-recovery data on great cormorants.

Item Type: Article
Uncontrolled keywords: Capture-recapture models; Cormorants; Derivative matrix; Dippers; Exhaustive summary; Identifiability
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Diana Cole
Date Deposited: 22 Nov 2012 09:26
Last Modified: 09 Jul 2014 13:14
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