Generalized entropy indices to measure α- and β-diversities of macrophytes

A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It represents a new perspective in ecology because a simple equation can incorporate all aspects of α-diversity, from richness to dominance and can be also related to a measure of species rarity. In addition, a generalized Kullback-Leibler distance, constructed in the framework of a nonextensive formalism, is recalled and used as a measure of β-diversity between two systems. These tools are applied to data relative to the macrophytes collected from two not far apart arms of Itaipu Reservoir, in Paraná River basin.

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Main Authors: Evangelista,H. B. A., Thomaz,S. M., Mendes,R. S., Evangelista,L. R.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2009
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400008
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spelling oai:scielo:S0103-973320090004000082009-09-10Generalized entropy indices to measure α- and β-diversities of macrophytesEvangelista,H. B. A.Thomaz,S. M.Mendes,R. S.Evangelista,L. R. Diversity indices Ecology Generalized entropy A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It represents a new perspective in ecology because a simple equation can incorporate all aspects of α-diversity, from richness to dominance and can be also related to a measure of species rarity. In addition, a generalized Kullback-Leibler distance, constructed in the framework of a nonextensive formalism, is recalled and used as a measure of β-diversity between two systems. These tools are applied to data relative to the macrophytes collected from two not far apart arms of Itaipu Reservoir, in Paraná River basin.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.39 n.2a 20092009-08-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400008en10.1590/S0103-97332009000400008
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libraryname SciELO
language English
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author Evangelista,H. B. A.
Thomaz,S. M.
Mendes,R. S.
Evangelista,L. R.
spellingShingle Evangelista,H. B. A.
Thomaz,S. M.
Mendes,R. S.
Evangelista,L. R.
Generalized entropy indices to measure α- and β-diversities of macrophytes
author_facet Evangelista,H. B. A.
Thomaz,S. M.
Mendes,R. S.
Evangelista,L. R.
author_sort Evangelista,H. B. A.
title Generalized entropy indices to measure α- and β-diversities of macrophytes
title_short Generalized entropy indices to measure α- and β-diversities of macrophytes
title_full Generalized entropy indices to measure α- and β-diversities of macrophytes
title_fullStr Generalized entropy indices to measure α- and β-diversities of macrophytes
title_full_unstemmed Generalized entropy indices to measure α- and β-diversities of macrophytes
title_sort generalized entropy indices to measure α- and β-diversities of macrophytes
description A family of entropy indices constructed in the framework of Tsallis entropy formalism is used to investigate ecological diversity. It represents a new perspective in ecology because a simple equation can incorporate all aspects of α-diversity, from richness to dominance and can be also related to a measure of species rarity. In addition, a generalized Kullback-Leibler distance, constructed in the framework of a nonextensive formalism, is recalled and used as a measure of β-diversity between two systems. These tools are applied to data relative to the macrophytes collected from two not far apart arms of Itaipu Reservoir, in Paraná River basin.
publisher Sociedade Brasileira de Física
publishDate 2009
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332009000400008
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