An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery
We develop an advection-diffusion size-structured fish populationdynamics model and apply it to simulate the skipjack tunapopulation in the Indian Ocean. The model is fully spatialized, andmovements are parameterized with oceanographical and biologicaldata; thus it naturally reacts to environment ch...
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AIMS Press
2005-09-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.719 |
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| author | Blaise Faugeras Olivier Maury |
| author_facet | Blaise Faugeras Olivier Maury |
| author_sort | Blaise Faugeras |
| collection | DOAJ |
| description | We develop an advection-diffusion size-structured fish populationdynamics model and apply it to simulate the skipjack tunapopulation in the Indian Ocean. The model is fully spatialized, andmovements are parameterized with oceanographical and biologicaldata; thus it naturally reacts to environment changes.We first formulate an initial-boundary valueproblem and prove existence of a unique positive solution. We thendiscuss the numerical scheme chosen for the integration of thesimulation model.In a second step we address the parameter estimation problem for such a model.With the help of automatic differentiation, we derive the adjoint code which is usedto compute the exact gradient of a Bayesian cost functionmeasuring the distance between the outputs of the model and catch and length frequency data.A sensitivity analysis shows that not all parameters can be estimated from the data.Finally twin experiments in which pertubated parameters are recoveredfrom simulated data are successfully conducted. |
| format | Article |
| id | doaj-art-db308cbfbc2d4b6dbb7c73c5a4fbe42b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-09-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-db308cbfbc2d4b6dbb7c73c5a4fbe42b2025-01-24T01:49:46ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-09-012471974110.3934/mbe.2005.2.719An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fisheryBlaise Faugeras0Olivier Maury1CNRS I3S, Les Algorithmes, 2000 route des lucioles, BP 121, 06903, Sophia Antipolis CedexInstitut de Recherche pour le Développement, Centre de Recherche Halieutique, avenue Jean Monnet, BP 171, 34200 SèteWe develop an advection-diffusion size-structured fish populationdynamics model and apply it to simulate the skipjack tunapopulation in the Indian Ocean. The model is fully spatialized, andmovements are parameterized with oceanographical and biologicaldata; thus it naturally reacts to environment changes.We first formulate an initial-boundary valueproblem and prove existence of a unique positive solution. We thendiscuss the numerical scheme chosen for the integration of thesimulation model.In a second step we address the parameter estimation problem for such a model.With the help of automatic differentiation, we derive the adjoint code which is usedto compute the exact gradient of a Bayesian cost functionmeasuring the distance between the outputs of the model and catch and length frequency data.A sensitivity analysis shows that not all parameters can be estimated from the data.Finally twin experiments in which pertubated parameters are recoveredfrom simulated data are successfully conducted.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.719tuna fisherieswell-posed initial-boundary value problemstatistical parameter estimationstock-assessment.population dynamics modelsize structure |
| spellingShingle | Blaise Faugeras Olivier Maury An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery Mathematical Biosciences and Engineering tuna fisheries well-posed initial-boundary value problem statistical parameter estimation stock-assessment. population dynamics model size structure |
| title | An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery |
| title_full | An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery |
| title_fullStr | An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery |
| title_full_unstemmed | An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery |
| title_short | An advection-diffusion-reaction size-structured fish population dynamics model combined with a statistical parameter estimation procedure: Application to the Indian Ocean skipjack tuna fishery |
| title_sort | advection diffusion reaction size structured fish population dynamics model combined with a statistical parameter estimation procedure application to the indian ocean skipjack tuna fishery |
| topic | tuna fisheries well-posed initial-boundary value problem statistical parameter estimation stock-assessment. population dynamics model size structure |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.719 |
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