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Species accumulation curves and extreme value theory

2021-03Book part Restricted access
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dc.contributor.authorBorda-de-Água, Luís
dc.contributor.authorAlirezazadeh, Saeid
dc.contributor.authorNeves, Manuela
dc.contributor.authorHubbell, Stephen P.
dc.contributor.authorBorges, Paulo A. V.
dc.contributor.authorCardoso, Pedro
dc.contributor.authorDionísio, Francisco
dc.contributor.authorPereira, Henrique M.
dc.date.accessioned2021-06-15T12:35:39Z
dc.date.available2021-06-15T12:35:39Z
dc.date.issued2021-03
dc.description.abstractThe species–area relationship (SAR) has been described as one of the few general patterns in ecology. Although there are many types of SAR, here we are concerned solely with the so-called species accumulation curve (SAC). The theoretical basis of this relationship is not well established. Here, we suggest that extreme value theory, also known as the statistics of extremes, provides a theoretical foundation for, as well as functions to fit, empirical species accumulation curves. Among the several procedures in extreme value theory, the appropriate way to deal with the species accumulation curve is the so-called block minima procedure. We first provide a brief description of this approach and the relevant formulas. We then illustrate the application of the block minima approach using data on tree species from a 50 ha plot in Barro Colorado Island, Panama. We conclude by discussing the extent to which the assumptions under which the extreme types theorem occurs are confirmed by the data. Although we recognize limitations to the present application of extreme value theory, we predict that it will provide fertile ground for future work on the theory of SARs and its application in the fields of ecology, biogeography and conservation.en
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBorda-de-Água, L., Alirezazadeh, S., Neves, M., Hubbell, S., Borges, P., Cardoso, P., . . . Pereira, H. (2021). “Species Accumulation Curves and Extreme Value Theory”. In T. Matthews, K. Triantis, & R. Whittaker (Eds.), The Species–Area Relationship: Theory and Application (Ecology, Biodiversity and Conservation, pp. 211-226). Cambridge: Cambridge University Press. DOI:10.1017/9781108569422.014en
dc.identifier.doi10.1017/9781108569422pt_PT
dc.identifier.isbn978-1-108-47707-9
dc.identifier.isbn978-1-108-56942-2 (Online)
dc.identifier.urihttp://hdl.handle.net/10400.3/5968
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherCambridge University Presspt_PT
dc.relation.publisherversionhttp://assets.cambridge.org/97811084/77079/copyright/9781108477079_copyright_info.pdfpt_PT
dc.subjectBiogeographyen
dc.subjectEcology and Conservationen
dc.subjectSpecies Accumulation Curve (SAC)en
dc.subjectSpecies–Area Relationship (SAR)en
dc.titleSpecies accumulation curves and extreme value theoryen
dc.typebook part
dspace.entity.typePublication
oaire.citation.endPage226pt_PT
oaire.citation.startPage211pt_PT
oaire.citation.titleThe Species–Area Relationship: Theory and Applicationen
person.familyNameBorges
person.familyNameCardoso
person.givenNamePaulo
person.givenNamePedro
person.identifier829215
person.identifier.ciencia-idFA1A-C9CB-9C29
person.identifier.ciencia-id3118-EA4B-B8A3
person.identifier.orcid0000-0002-8448-7623
person.identifier.orcid0000-0001-8119-9960
person.identifier.ridB-2780-2008
person.identifier.ridA-8820-2008
person.identifier.scopus-author-id7003533390
person.identifier.scopus-author-id36112709400
rcaap.rightsclosedAccesspt_PT
rcaap.typebookPartpt_PT
relation.isAuthorOfPublicationd9716a90-cc3e-44d0-adc1-6933e3786278
relation.isAuthorOfPublicationc3ff48e6-cddc-453a-8d17-dc37089270c9
relation.isAuthorOfPublication.latestForDiscoveryd9716a90-cc3e-44d0-adc1-6933e3786278

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