Parameter redundancy in Jolly-Seber tag loss models
| dc.contributor.author | Cai, Wei | |
| dc.contributor.author | Yurchak, Stephanie | |
| dc.contributor.author | Cole, Diana J. | |
| dc.contributor.author | Cowen, Laura L.E. | |
| dc.date.accessioned | 2021-01-26T20:38:37Z | |
| dc.date.available | 2021-01-26T20:38:37Z | |
| dc.date.copyright | 2021 | en_US |
| dc.date.issued | 2021 | |
| dc.description.abstract | Capture–recapture experiments are conducted to estimate population parameters such as population size, survival rates, and capture rates. Typically, individuals are captured and given unique tags, then recaptured over several time periods with the assumption that these tags are not lost. However, for some populations, tag loss cannot be assumed negligible. The Jolly‐Seber tag loss model is used when the no‐tag‐loss assumption is invalid. Further, the model has been extended to incorporate group heterogeneity, which allows parameters to vary by group membership. Many mark–recapture models become overparameterized resulting in the inability to independently estimate parameters. This is known as parameter redundancy. We investigate parameter redundancy using symbolic methods. Because of the complex structure of some tag loss models, the methods cannot always be applied directly. Instead, we develop a simple combination of parameters that can be used to investigate parameter redundancy in tag loss models. The incorporation of tag loss and group heterogeneity into Jolly‐Seber models does not result in further parameter redundancies. Furthermore, using hybrid methods we studied the parameter redundancy caused by data through case studies and generated tag histories with different parameter values. Smaller capture and survival rates are found to cause parameter redundancy in these models. These problems resolve when applied to large populations. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This work was supported by a Natural Sciences and Engineering Research Council of Canada (NSERC) Discovery grant (grant number 327025) to LC, NSERC Undergraduate Student Research Award (USRA) to SY and a University of Victoria Faculty of Science Summer Undergraduate Research Award to WC. Jovan Allen (supported by a NSERC USRA) wrote R code to support some of the simulation studies. Thanks to S. Shroyer for providing the walleye data. | en_US |
| dc.identifier.citation | Cai, W., Yurchak, S., Cole, D. J., & Cowen, L. L. E. (2020). Parameter redundancy in Jolly‐Seber tag loss models. Ecology and Evolution, 11(1). https://doi.org/10.1002/ece3.7035 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/ece3.7035 | |
| dc.identifier.uri | http://hdl.handle.net/1828/12599 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ecology and Evolution | en_US |
| dc.subject | capture–recapture | |
| dc.subject | identifiability | |
| dc.subject | Jolly-Seber | |
| dc.subject | parameter redundancy | |
| dc.subject | tag loss | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Parameter redundancy in Jolly-Seber tag loss models | en_US |
| dc.type | Article | en_US |