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Statistical mechanics of ecosystem assembly

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorCapitán, José A.
dc.contributor.authorCuesta, José A.
dc.contributor.authorBascompte, Jordi
dc.date.accessioned2010-03-08T12:40:41Z
dc.date.available2010-03-08T12:40:41Z
dc.date.issued2009-10-16
dc.description4 pages, 3 figures.-- PACS nrs.: 87.23.Cc, 64.60.De, 87.23.Kg, 89.75.Fb.-- ArXiv pre-print available at: http://arxiv.org/abs/0903.2691
dc.description.abstractWe introduce a toy model of ecosystem assembly for which we are able to map out all assembly pathways generated by external invasions. The model allows us to display the whole phase space in the form of an assembly graph whose nodes are communities of species and whose directed links are transitions between them induced by invasions. We characterize the process as a finite Markov chain and prove that it exhibits a unique set of recurrent states (the end state of the process), which is therefore resistant to invasions. This also shows that the end state is independent of the assembly history. The model shares all features with standard assembly models reported in the literature, with the advantage that all observables can be computed in an exact manner.
dc.description.sponsorshipThis work is funded by projects MOSAICO (Ministerio de Educación y Ciencia) and MOSSNOHO-CM (Comunidad de Madrid), by the European Heads of Research Councils, the European Science Foundation, and the EC Sixth Framework Programme through an EURYI grant (J. B.), and by a contract from Comunidad de Madrid and Fondo Social Europeo (J. A. Capitán).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review Letters, 103, 168101 (2009)
dc.identifier.doi10.1103/PhysRevLett.103.168101
dc.identifier.issn0031-9007 (Print)
dc.identifier.issn1079-7114 (Online)
dc.identifier.urihttp://hdl.handle.net/10016/7167
dc.language.isoeng
dc.publisherThe American Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevLett.103.168101
dc.rights© The American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.subject.other[PACS] Population dynamics and ecological pattern formation
dc.subject.other[PACS] Statistical mechanics of model systems (Ising model, Potts model, field-theory models, Monte Carlo techniques, etc.)
dc.subject.other[PACS] Dynamics of evolution
dc.subject.other[PACS] Structures and organization in complex systems
dc.titleStatistical mechanics of ecosystem assembly
dc.typeresearch article*
dc.type.reviewPeerReviewed
dspace.entity.typePublication
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