New concentration measures as kinds of the quadratic entropy

We introduced two new quadratic entropy indices and performed numerical experimentation on biological data sets to reveal their properties. The difference between two individuals was postulated in both cases on the basis of occurrence probabilities of the species concerned. The new measures summarize a different aspect of community properties than biodiversity indices. They may play a critical role among others in population dynamic models and in the analysis of dominance in ecology. The numerical experimentation was based in part on the characteristics of so-called sensitivity graphs. The graphs related to the new indices are very similar to the opposites of sensitivity graphs of diversity indices, generally used in statistical ecology. Further relations between the new indices and concentration indices were analysed on plot diagrams originating from simulated data. From these analyses, we conclude that the new quadratic entropies are close to concentration measures.