Aggregation of Variables and Applications to Population Dynamics
Identifieur interne : 000E35 ( Main/Exploration ); précédent : 000E34; suivant : 000E36Aggregation of Variables and Applications to Population Dynamics
Auteurs : P. Auger [France] ; Bravo De La Parra [France, Espagne] ; -C. Poggiale [France] ; E. Sánchez [Espagne] ; T. Nguyen-Huu [France]Source :
- Lecture Notes in Mathematics [ 0075-8434 ] ; 2008.
Abstract
Ecological modelers produce models with more and more details, leading to dynamical systems involving lots of variables. This chapter presents a set of methods which aim to extract from these complex models some submodels containing the same information but which are more tractable from the mathematical point of view. This “aggregation” of variables is based on time scales separation methods. The first part of the chapter is devoted to the presentation of mathematical aggregation methods for ODE’s, discrete models, PDE’s and DDE’s. The second part presents several applications in population and community dynamics.
Url:
DOI: 10.1007/978-3-540-78273-5_5
Affiliations:
- Espagne, France
- Auvergne-Rhône-Alpes, Communauté de Madrid, Provence-Alpes-Côte d'Azur, Rhône-Alpes, Île-de-France
- Bondy, Lyon, Madrid, Marseille
- Université de la Méditerranée
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 001824
- to stream Istex, to step Curation: 001824
- to stream Istex, to step Checkpoint: 000407
- to stream Main, to step Merge: 000E46
- to stream Main, to step Curation: 000E35
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Aggregation of Variables and Applications to Population Dynamics</title><author><name sortKey="Auger, P" sort="Auger, P" uniqKey="Auger P" first="P." last="Auger">P. Auger</name></author><author><name sortKey="De La Parra, Bravo" sort="De La Parra, Bravo" uniqKey="De La Parra B" first="Bravo" last="De La Parra">Bravo De La Parra</name></author><author><name sortKey="Poggiale, C" sort="Poggiale, C" uniqKey="Poggiale " first="-C." last="Poggiale">-C. Poggiale</name></author><author><name sortKey="Sanchez, E" sort="Sanchez, E" uniqKey="Sanchez E" first="E." last="Sánchez">E. Sánchez</name></author><author><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:A5FBD69C60621CB0502E999E6DC05F08B3F89129</idno><date when="2008" year="2008">2008</date><idno type="doi">10.1007/978-3-540-78273-5_5</idno><idno type="url">https://api.istex.fr/document/A5FBD69C60621CB0502E999E6DC05F08B3F89129/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001824</idno><idno type="wicri:Area/Istex/Curation">001824</idno><idno type="wicri:Area/Istex/Checkpoint">000407</idno><idno type="wicri:doubleKey">0075-8434:2008:Auger P:aggregation:of:variables</idno><idno type="wicri:Area/Main/Merge">000E46</idno><idno type="wicri:Area/Main/Curation">000E35</idno><idno type="wicri:Area/Main/Exploration">000E35</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Aggregation of Variables and Applications to Population Dynamics</title><author><name sortKey="Auger, P" sort="Auger, P" uniqKey="Auger P" first="P." last="Auger">P. Auger</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>IRD UR Géodes, Centre IRD de l’Ile de France, 32, Av. Henri Varagnat, 93143, Bondy cedex</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Bondy</settlement></placeName></affiliation><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>IXXI, ENS Lyon, 46 allée d’Italie, 69364, Lyon cedex 07</wicri:regionArea><placeName><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region><settlement type="city">Lyon</settlement></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="De La Parra, Bravo" sort="De La Parra, Bravo" uniqKey="De La Parra B" first="Bravo" last="De La Parra">Bravo De La Parra</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>IRD UR Géodes, Centre IRD de l’Ile de France, 32, Av. Henri Varagnat, 93143, Bondy cedex</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Bondy</settlement></placeName></affiliation><affiliation wicri:level="3"><country xml:lang="fr">Espagne</country><wicri:regionArea>Departamento de Matemáticas, Universidad de Alcalá, 28871, Alcalá de Henares, Madrid</wicri:regionArea><placeName><settlement type="city">Madrid</settlement><region nuts="2" type="region">Communauté de Madrid</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Espagne</country></affiliation></author><author><name sortKey="Poggiale, C" sort="Poggiale, C" uniqKey="Poggiale " first="-C." last="Poggiale">-C. Poggiale</name><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire de Microbiologie, Géochimie et d’Ecologie Marines, UMR 6117, Centre d’Océanologie de Marseille (OSU), Université de la Méditerranée, Case 901, Campus de Luminy, 13288, Marseille Cedex 9</wicri:regionArea><placeName><region type="region" nuts="2">Provence-Alpes-Côte d'Azur</region><settlement type="city">Marseille</settlement></placeName><orgName type="university">Université de la Méditerranée</orgName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author><author><name sortKey="Sanchez, E" sort="Sanchez, E" uniqKey="Sanchez E" first="E." last="Sánchez">E. Sánchez</name><affiliation wicri:level="3"><country xml:lang="fr">Espagne</country><wicri:regionArea>Departamento de Matemáticas, E.T.S.I. Industriales, U.P.M., c/ José Gutiérrez Abascal, 2, 28006, Madrid</wicri:regionArea><placeName><settlement type="city">Madrid</settlement><region nuts="2" type="region">Communauté de Madrid</region></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">Espagne</country></affiliation></author><author><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>IRD UR Géodes, Centre IRD de l’Ile de France, 32, Av. Henri Varagnat, 93143, Bondy cedex</wicri:regionArea><placeName><region type="region" nuts="2">Île-de-France</region><settlement type="city">Bondy</settlement></placeName></affiliation><affiliation wicri:level="4"><country xml:lang="fr">France</country><wicri:regionArea>Laboratoire de Microbiologie, Géochimie et d’Ecologie Marines, UMR 6117, Centre d’Océanologie de Marseille (OSU), Université de la Méditerranée, Case 901, Campus de Luminy, 13288, Marseille Cedex 9</wicri:regionArea><placeName><region type="region" nuts="2">Provence-Alpes-Côte d'Azur</region><settlement type="city">Marseille</settlement></placeName><orgName type="university">Université de la Méditerranée</orgName></affiliation><affiliation wicri:level="3"><country xml:lang="fr">France</country><wicri:regionArea>IXXI, ENS Lyon, 46 allée d’Italie, 69364, Lyon cedex 07</wicri:regionArea><placeName><region type="region" nuts="2">Auvergne-Rhône-Alpes</region><region type="old region" nuts="2">Rhône-Alpes</region><settlement type="city">Lyon</settlement></placeName></affiliation><affiliation wicri:level="1"><country wicri:rule="url">France</country></affiliation></author></analytic><monogr></monogr><series><title level="s">Lecture Notes in Mathematics</title><imprint><date>2008</date></imprint><idno type="ISSN">0075-8434</idno><idno type="ISSN">0075-8434</idno></series><idno type="istex">A5FBD69C60621CB0502E999E6DC05F08B3F89129</idno><idno type="DOI">10.1007/978-3-540-78273-5_5</idno><idno type="ChapterID">5</idno><idno type="ChapterID">Chap5</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0075-8434</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Ecological modelers produce models with more and more details, leading to dynamical systems involving lots of variables. This chapter presents a set of methods which aim to extract from these complex models some submodels containing the same information but which are more tractable from the mathematical point of view. This “aggregation” of variables is based on time scales separation methods. The first part of the chapter is devoted to the presentation of mathematical aggregation methods for ODE’s, discrete models, PDE’s and DDE’s. The second part presents several applications in population and community dynamics.</div></front></TEI><affiliations><list><country><li>Espagne</li><li>France</li></country><region><li>Auvergne-Rhône-Alpes</li><li>Communauté de Madrid</li><li>Provence-Alpes-Côte d'Azur</li><li>Rhône-Alpes</li><li>Île-de-France</li></region><settlement><li>Bondy</li><li>Lyon</li><li>Madrid</li><li>Marseille</li></settlement><orgName><li>Université de la Méditerranée</li></orgName></list><tree><country name="France"><region name="Île-de-France"><name sortKey="Auger, P" sort="Auger, P" uniqKey="Auger P" first="P." last="Auger">P. Auger</name></region><name sortKey="Auger, P" sort="Auger, P" uniqKey="Auger P" first="P." last="Auger">P. Auger</name><name sortKey="Auger, P" sort="Auger, P" uniqKey="Auger P" first="P." last="Auger">P. Auger</name><name sortKey="De La Parra, Bravo" sort="De La Parra, Bravo" uniqKey="De La Parra B" first="Bravo" last="De La Parra">Bravo De La Parra</name><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name><name sortKey="Nguyen Huu, T" sort="Nguyen Huu, T" uniqKey="Nguyen Huu T" first="T." last="Nguyen-Huu">T. Nguyen-Huu</name><name sortKey="Poggiale, C" sort="Poggiale, C" uniqKey="Poggiale " first="-C." last="Poggiale">-C. Poggiale</name><name sortKey="Poggiale, C" sort="Poggiale, C" uniqKey="Poggiale " first="-C." last="Poggiale">-C. Poggiale</name></country><country name="Espagne"><region name="Communauté de Madrid"><name sortKey="De La Parra, Bravo" sort="De La Parra, Bravo" uniqKey="De La Parra B" first="Bravo" last="De La Parra">Bravo De La Parra</name></region><name sortKey="De La Parra, Bravo" sort="De La Parra, Bravo" uniqKey="De La Parra B" first="Bravo" last="De La Parra">Bravo De La Parra</name><name sortKey="Sanchez, E" sort="Sanchez, E" uniqKey="Sanchez E" first="E." last="Sánchez">E. Sánchez</name><name sortKey="Sanchez, E" sort="Sanchez, E" uniqKey="Sanchez E" first="E." last="Sánchez">E. Sánchez</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/France/explor/LeHavreV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 000E35 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 000E35 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/France
|area= LeHavreV1
|flux= Main
|étape= Exploration
|type= RBID
|clé= ISTEX:A5FBD69C60621CB0502E999E6DC05F08B3F89129
|texte= Aggregation of Variables and Applications to Population Dynamics
}}
| This area was generated with Dilib version V0.6.25. |  |