Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population

In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that incertitude only affects the recruitment. First, for the det...

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Main Authors: Riquelme, V., Quinn, T. J., C, H. Ramírez
Format: Report
Language:unknown
Published: arXiv 2018
Subjects:
Populations and Evolution q-bio.PE
FOS Biological sciences
Patagonian Toothfish
Online Access:https://dx.doi.org/10.48550/arxiv.1811.07093
https://arxiv.org/abs/1811.07093
id ftdatacite:10.48550/arxiv.1811.07093
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1811.07093 2023-05-15T17:54:43+02:00 Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population Riquelme, V. Quinn, T. J. C, H. Ramírez 2018 https://dx.doi.org/10.48550/arxiv.1811.07093 https://arxiv.org/abs/1811.07093 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Populations and Evolution q-bio.PE FOS Biological sciences Preprint Article article CreativeWork 2018 ftdatacite https://doi.org/10.48550/arxiv.1811.07093 2022-04-01T08:48:13Z In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that incertitude only affects the recruitment. First, for the deterministic version of this model, we characterize the equilibrium yields in terms of the fishing mortality. Then, for the stochastic version, we introduce the concepts of maximum expected, log expected and harmonic expected sustainable yield, and we analyze how the incertitude affects the behavior of these yields and their stationary distribution. All the numerical simulations are performed with data obtained from Patagonian Tooth-fish fishery, which is harvested by four different type of fleets: Chilean Industrial fleet, Chilean Artisanal fleet, Argentinean longline fleet, and Argentinean Artisanal fleet. : 18 pages, 14 figures Report Patagonian Toothfish DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Populations and Evolution q-bio.PE
FOS Biological sciences
spellingShingle Populations and Evolution q-bio.PE
FOS Biological sciences
Riquelme, V.
Quinn, T. J.
C, H. Ramírez
Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
topic_facet Populations and Evolution q-bio.PE
FOS Biological sciences
description In this manuscript we investigate the long-term behavior of a single-species fishery, which is harvested by several fleets. The time evolution of this population is modeled by a discrete time stochastic age-structured model. We assume that incertitude only affects the recruitment. First, for the deterministic version of this model, we characterize the equilibrium yields in terms of the fishing mortality. Then, for the stochastic version, we introduce the concepts of maximum expected, log expected and harmonic expected sustainable yield, and we analyze how the incertitude affects the behavior of these yields and their stationary distribution. All the numerical simulations are performed with data obtained from Patagonian Tooth-fish fishery, which is harvested by four different type of fleets: Chilean Industrial fleet, Chilean Artisanal fleet, Argentinean longline fleet, and Argentinean Artisanal fleet. : 18 pages, 14 figures
format Report
author Riquelme, V.
Quinn, T. J.
C, H. Ramírez
author_facet Riquelme, V.
Quinn, T. J.
C, H. Ramírez
author_sort Riquelme, V.
title Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
title_short Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
title_full Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
title_fullStr Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
title_full_unstemmed Dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the Patagonian toothfish population
title_sort dynamics and biological reference points in a stochastic age-structured fish population model with an illustration of the patagonian toothfish population
publisher arXiv
publishDate 2018
url https://dx.doi.org/10.48550/arxiv.1811.07093
https://arxiv.org/abs/1811.07093
genre Patagonian Toothfish
genre_facet Patagonian Toothfish
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1811.07093
_version_ 1766162528087310336

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