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Parameter redundancy in Jolly-Seber tag loss models.

Wei Cai1, Stephanie Yurchak1, Diana J Cole2

  • 1Department of Mathematics and Statistics University of Victoria Victoria British Columbia Canada.

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Tag loss in capture-recapture models can cause parameter redundancy. This study develops methods to analyze tag loss models, finding that smaller capture and survival rates lead to redundancy, especially in smaller populations.

Keywords:
Jolly‐Sebercapture–recaptureidentifiabilityparameter redundancytag loss

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Area of Science:

  • Ecology
  • Population Biology
  • Statistical Modeling

Background:

  • Capture-recapture methods estimate population parameters, assuming no tag loss.
  • Tag loss is a significant issue in some populations, requiring specialized models like the Jolly-Seber tag loss model.
  • Parameter redundancy, where parameters cannot be independently estimated, is a challenge in complex mark-recapture models.

Purpose of the Study:

  • To investigate parameter redundancy in Jolly-Seber tag loss models, including those with group heterogeneity.
  • To develop symbolic and hybrid methods for analyzing parameter redundancy in complex tag loss models.
  • To identify factors contributing to parameter redundancy and conditions under which it is resolved.

Main Methods:

  • Symbolic methods were adapted to analyze parameter redundancy in tag loss models.
  • A simplified parameter combination was developed for investigating redundancy.
  • Hybrid methods and case studies with generated tag histories were used to examine data-induced parameter redundancy.

Main Results:

  • Incorporating tag loss and group heterogeneity into Jolly-Seber models did not introduce additional parameter redundancies.
  • Smaller capture and survival rates were identified as causes of parameter redundancy.
  • Parameter redundancy issues were found to resolve when models were applied to large populations.

Conclusions:

  • The developed methods effectively analyze parameter redundancy in tag loss models.
  • Understanding the drivers of parameter redundancy is crucial for accurate population parameter estimation.
  • The findings have implications for the robust application of capture-recapture models in ecological studies, particularly concerning population size and survival rate estimation.