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Wiley InterScience

Biometrics

Biometrics

Volume 59 Issue 2, Pages 341 - 350

Published Online: 11 Jun 2003

©2009 International Biometric Society



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Autoregressive Models for Capture-Recapture Data: A Bayesian Approach
Devin S. Johnson* and Jennifer A. Hoeting
 Department of Statistics, Colorado State University, Fort Collins, Colorado 80523, U.S.A.
Correspondence to   * email: johnson@stat.colostate.edu
Copyright The International Biometric Society, 2003
KEYWORDS
Autoregressive models • Bayesian inference • MCMC • Survival estimation • WinBUGS

Summary

Abstract
          1. Introduction
          2. Likelihood for Capture-Recapture Data
          3. A Bayesian Approach for AR(m) Survival Models
          4. Example: Northern Pintails
          References

Summary In this article, we incorporate an autoregressive time-series framework into models for animal survival using capture-recapture data. Researchers modeling animal survival probabilities as the realization of a random process have typically considered survival to be independent from one time period to the next. This may not be realistic for some populations. Using a Gibbs sampling approach, we can estimate covariate coefficients and autoregressive parameters for survival models. The procedure is illustrated with a waterfowl band recovery dataset for northern pintails (Anas acuta). The analysis shows that the second lag autoregressive coefficient is significantly less than 0, suggesting that there is a triennial relationship between survival probabilities and emphasizing that modeling survival rates as independent random variables may be unrealistic in some cases. Software to implement the methodology is available at no charge on the Internet.


Received October 2001. RevisedNovember 2002. AcceptedNovember 2002.

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/1541-0420.00041 About DOI

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