An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data
Abstract Catch‐curve analyses are routinely used to estimate instantaneous mortality ( Z ) in fish, and as the age‐frequency data are often overdispersed, the application of a variance bias‐correction factor has been recommended. The extensions of the Poisson generalized linear model (GLM Poisson )...
Published in: | North American Journal of Fisheries Management |
---|---|
Main Authors: | , |
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Wiley
2021
|
Subjects: | |
Online Access: | http://dx.doi.org/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/nafm.10665 https://afspubs.onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 |
id |
crwiley:10.1002/nafm.10665 |
---|---|
record_format |
openpolar |
spelling |
crwiley:10.1002/nafm.10665 2024-06-02T08:02:50+00:00 An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data Mainguy, Julien Moral, Rafael de Andrade 2021 http://dx.doi.org/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/nafm.10665 https://afspubs.onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor North American Journal of Fisheries Management volume 41, issue 5, page 1436-1453 ISSN 0275-5947 1548-8675 journal-article 2021 crwiley https://doi.org/10.1002/nafm.10665 2024-05-03T10:38:23Z Abstract Catch‐curve analyses are routinely used to estimate instantaneous mortality ( Z ) in fish, and as the age‐frequency data are often overdispersed, the application of a variance bias‐correction factor has been recommended. The extensions of the Poisson generalized linear model (GLM Poisson ) may, however, constitute a better alternative, as they model the variance (SE) in counts more adequately with their specific dispersion parameter for more accurate estimations and statistical comparisons. To test this idea, simulated age‐frequency data generated under four dispersion scenarios were analyzed according to six currently available methods and compared with the results of a GLM Poisson and five of its extensions to evaluate each method‐specific bias in Z ± SE estimates. Empirical age‐frequency data from sampled Walleye Sander vitreus and Arctic Char Salvelinus alpinus populations in Québec, Canada, were then used to illustrate the applicability of our GLM‐based method, which relies on the behavior of Pearson residuals to assess model adequacy and an information‐theoretic approach for model selection. All analyses revealed that Z ‐estimates were generally accurate among the methods considered, except under the most likely situation of quadratic overdispersion met in ecological studies, for which only the negative binomial type 2 and the mean‐parametrized Conway–Maxwell–Poisson (CMP) extensions were adequate to estimate both Z and its SE. Linearly overdispersed data were best modeled by the negative binomial type 1 and generalized Poisson (GLM GP ) extensions; the GLM CMP and GLM GP were the most appropriate to model underdispersed data, whereas the GLM Poisson adequately modeled equi‐dispersed data, similar to the Chapman and Robson (1960) method. Statistical comparisons of Z ± SE for grouping factors, such as year or site, were correctly achieved when the most adequate and statistically supported GLM Poisson extension was applied. Altogether, the proposed GLM‐based method should help to circumvent the ... Article in Journal/Newspaper Arctic Salvelinus alpinus Wiley Online Library Arctic Canada Conway ENVELOPE(-61.422,-61.422,-62.841,-62.841) North American Journal of Fisheries Management 41 5 1436 1453 |
institution |
Open Polar |
collection |
Wiley Online Library |
op_collection_id |
crwiley |
language |
English |
description |
Abstract Catch‐curve analyses are routinely used to estimate instantaneous mortality ( Z ) in fish, and as the age‐frequency data are often overdispersed, the application of a variance bias‐correction factor has been recommended. The extensions of the Poisson generalized linear model (GLM Poisson ) may, however, constitute a better alternative, as they model the variance (SE) in counts more adequately with their specific dispersion parameter for more accurate estimations and statistical comparisons. To test this idea, simulated age‐frequency data generated under four dispersion scenarios were analyzed according to six currently available methods and compared with the results of a GLM Poisson and five of its extensions to evaluate each method‐specific bias in Z ± SE estimates. Empirical age‐frequency data from sampled Walleye Sander vitreus and Arctic Char Salvelinus alpinus populations in Québec, Canada, were then used to illustrate the applicability of our GLM‐based method, which relies on the behavior of Pearson residuals to assess model adequacy and an information‐theoretic approach for model selection. All analyses revealed that Z ‐estimates were generally accurate among the methods considered, except under the most likely situation of quadratic overdispersion met in ecological studies, for which only the negative binomial type 2 and the mean‐parametrized Conway–Maxwell–Poisson (CMP) extensions were adequate to estimate both Z and its SE. Linearly overdispersed data were best modeled by the negative binomial type 1 and generalized Poisson (GLM GP ) extensions; the GLM CMP and GLM GP were the most appropriate to model underdispersed data, whereas the GLM Poisson adequately modeled equi‐dispersed data, similar to the Chapman and Robson (1960) method. Statistical comparisons of Z ± SE for grouping factors, such as year or site, were correctly achieved when the most adequate and statistically supported GLM Poisson extension was applied. Altogether, the proposed GLM‐based method should help to circumvent the ... |
format |
Article in Journal/Newspaper |
author |
Mainguy, Julien Moral, Rafael de Andrade |
spellingShingle |
Mainguy, Julien Moral, Rafael de Andrade An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
author_facet |
Mainguy, Julien Moral, Rafael de Andrade |
author_sort |
Mainguy, Julien |
title |
An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
title_short |
An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
title_full |
An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
title_fullStr |
An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
title_full_unstemmed |
An Improved Method for the Estimation and Comparison of Mortality Rates in Fish from Catch‐Curve Data |
title_sort |
improved method for the estimation and comparison of mortality rates in fish from catch‐curve data |
publisher |
Wiley |
publishDate |
2021 |
url |
http://dx.doi.org/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 https://onlinelibrary.wiley.com/doi/full-xml/10.1002/nafm.10665 https://afspubs.onlinelibrary.wiley.com/doi/pdf/10.1002/nafm.10665 |
long_lat |
ENVELOPE(-61.422,-61.422,-62.841,-62.841) |
geographic |
Arctic Canada Conway |
geographic_facet |
Arctic Canada Conway |
genre |
Arctic Salvelinus alpinus |
genre_facet |
Arctic Salvelinus alpinus |
op_source |
North American Journal of Fisheries Management volume 41, issue 5, page 1436-1453 ISSN 0275-5947 1548-8675 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/nafm.10665 |
container_title |
North American Journal of Fisheries Management |
container_volume |
41 |
container_issue |
5 |
container_start_page |
1436 |
op_container_end_page |
1453 |
_version_ |
1800747306755031040 |