Generalized distribution based diversity measurement

Survey and unification

  • Sönke Hoffmann
Schlagworte: Diversity measurement; Generalization; Non-additivity; Concavity; Numbers equivalence, JEL: Q20, C65

Abstract

Social and natural sciences employ a number of different measures of diversity. The presents paper surveys those depending on the distribution of abundances among a given set of categories. Characteristic properties of the measures are generalized and a unifying notation is derived. It is argued that such unification enables scientists and decision makers to measure distribution based diversity in a new, more flexible manner, and represents a useful complement to models of generalized feature based diversity, such as Nehring and Puppe's (2002) theory of diversity.

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2018-09-04
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