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Sensitivity Profiles of Diversity Indices
Author(s) -
Izsák János
Publication year - 1996
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710380804
Subject(s) - sensitivity (control systems) , subdominant , abundance (ecology) , statistics , index (typography) , mathematics , diversity index , diversity (politics) , biology , ecology , species richness , computer science , biochemistry , cytotoxic t cell , electronic engineering , sociology , world wide web , anthropology , engineering , in vitro
The author previously described special sensitivity measures for diversity indices. These measures make possible on analytical treatment of the index sensitivity. In the article a detailed analysis of sensitivity properties of the Hurlbert indices is presented. In the first step the abundances n k were sequenced in an increasing order. Plotting the sensitivity against n k or log n k , essential sensitivity properties can be observed. For example, one can study the sensitivities to changes in the dominant and subdominant abundances, the site of the “nearly neutral” abundance and the site of local sensitivity maxima in the domain of the relatively rare categories. The observations are supported by mathematical reasoning.