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Stochastic Modeling of Biodiversity: f-diversity, self f-diversity and Marginal f-diversity

Result description

The paper is devoted to stochastic modeling of biodiversities, that are presented as selected f-diversities frequently used in biology and medicine. The most often used in biology and medicine are f-diversities called Number Alles, Gini-Simpson diversityand Shannon diversity. We have introduced two new general concepts, named marginal f-diversity and self f-diversity. The statistical properties of sample estimates of the selected f-diversities are mentioned. Results of simulations of f-diversities, self f-diversities and marginal f-diversities for Number Alles, Gini-Simpson and Shannon type diversities on the example of three alleles with fixed probabilities of occurrence and several sample sizes used are presented.

Keywords

biodiversitymodelingf-entropyf-diversityself f-diversitymarginal f-diversity

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stochastic Modeling of Biodiversity: f-diversity, self f-diversity and Marginal f-diversity

  • Original language description

    The paper is devoted to stochastic modeling of biodiversities, that are presented as selected f-diversities frequently used in biology and medicine. The most often used in biology and medicine are f-diversities called Number Alles, Gini-Simpson diversityand Shannon diversity. We have introduced two new general concepts, named marginal f-diversity and self f-diversity. The statistical properties of sample estimates of the selected f-diversities are mentioned. Results of simulations of f-diversities, self f-diversities and marginal f-diversities for Number Alles, Gini-Simpson and Shannon type diversities on the example of three alleles with fixed probabilities of occurrence and several sample sizes used are presented.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BB - Applied statistics, operational research

  • OECD FORD branch

Result continuities

Others

  • Publication year

    2010

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 6th international summer school on computational biology

  • ISBN

    978-80-7204-698-0

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

  • Publisher name

    Masaryk University

  • Place of publication

    Brno

  • Event location

    Lednice

  • Event date

    Oct 23, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article