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Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models
1. The Cormack–Jolly–Seber (CJS) model and its extensions have been widely applied to the study of animal survival rates in open populations. The model assumes that individuals within the population of interest have independent fates. It is, however, highly unlikely that a pair of animals which have...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
John Wiley and Sons Inc.
2021
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8207451/ https://www.ncbi.nlm.nih.gov/pubmed/34141196 http://dx.doi.org/10.1002/ece3.7329 |
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author | Draghici, Alexandru M. Challenger, Wendell O. Bonner, Simon J. |
author_facet | Draghici, Alexandru M. Challenger, Wendell O. Bonner, Simon J. |
author_sort | Draghici, Alexandru M. |
collection | PubMed |
description | 1. The Cormack–Jolly–Seber (CJS) model and its extensions have been widely applied to the study of animal survival rates in open populations. The model assumes that individuals within the population of interest have independent fates. It is, however, highly unlikely that a pair of animals which have formed a long‐term pairing have dissociated fates. 2. We examine a model extension which allows animals who have formed a pair‐bond to have correlated survival and recapture fates. Using the proposed extension to generate data, we conduct a simulation study exploring the impact that correlated fate data has on inference from the CJS model. We compute Monte Carlo estimates for the bias, range, and standard errors of the parameters of the CJS model for data with varying degrees of survival correlation between mates. Furthermore, we study the likelihood ratio test of sex effects within the CJS model by simulating densities of the deviance. Finally, we estimate the variance inflation factor [Formula: see text] for CJS models that incorporate sex‐specific heterogeneity. 3. Our study shows that correlated fates between mated animals may result in underestimated standard errors for parsimonious models, significantly deflated likelihood ratio test statistics, and underestimated values of [Formula: see text] for models taking sex‐specific effects into account. 4. Underestimated standard errors can result in lowered coverage of confidence intervals. Moreover, deflated test statistics will provide overly conservative test results. Finally, underestimated variance inflation factors can lead researchers to make incorrect conclusions about the level of extra‐binomial variation present in their data. |
format | Online Article Text |
id | pubmed-8207451 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | John Wiley and Sons Inc. |
record_format | MEDLINE/PubMed |
spelling | pubmed-82074512021-06-16 Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models Draghici, Alexandru M. Challenger, Wendell O. Bonner, Simon J. Ecol Evol Original Research 1. The Cormack–Jolly–Seber (CJS) model and its extensions have been widely applied to the study of animal survival rates in open populations. The model assumes that individuals within the population of interest have independent fates. It is, however, highly unlikely that a pair of animals which have formed a long‐term pairing have dissociated fates. 2. We examine a model extension which allows animals who have formed a pair‐bond to have correlated survival and recapture fates. Using the proposed extension to generate data, we conduct a simulation study exploring the impact that correlated fate data has on inference from the CJS model. We compute Monte Carlo estimates for the bias, range, and standard errors of the parameters of the CJS model for data with varying degrees of survival correlation between mates. Furthermore, we study the likelihood ratio test of sex effects within the CJS model by simulating densities of the deviance. Finally, we estimate the variance inflation factor [Formula: see text] for CJS models that incorporate sex‐specific heterogeneity. 3. Our study shows that correlated fates between mated animals may result in underestimated standard errors for parsimonious models, significantly deflated likelihood ratio test statistics, and underestimated values of [Formula: see text] for models taking sex‐specific effects into account. 4. Underestimated standard errors can result in lowered coverage of confidence intervals. Moreover, deflated test statistics will provide overly conservative test results. Finally, underestimated variance inflation factors can lead researchers to make incorrect conclusions about the level of extra‐binomial variation present in their data. John Wiley and Sons Inc. 2021-05-01 /pmc/articles/PMC8207451/ /pubmed/34141196 http://dx.doi.org/10.1002/ece3.7329 Text en © 2021 The Authors. Ecology and Evolution published by John Wiley & Sons Ltd. https://creativecommons.org/licenses/by/4.0/This is an open access article under the terms of the http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited. |
spellingShingle | Original Research Draghici, Alexandru M. Challenger, Wendell O. Bonner, Simon J. Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title | Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title_full | Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title_fullStr | Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title_full_unstemmed | Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title_short | Understanding the impact of correlation within pair‐bonds on Cormack–Jolly–Seber models |
title_sort | understanding the impact of correlation within pair‐bonds on cormack–jolly–seber models |
topic | Original Research |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8207451/ https://www.ncbi.nlm.nih.gov/pubmed/34141196 http://dx.doi.org/10.1002/ece3.7329 |
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