Many diversity, concentration and entropy metrics are analogous, sharing common origins in ecological science, engineering, mathematics, and communications theory. The difference in terminology depends upon the discipline in which the metrics are applied. The forthcoming article defines the concepts of concentration, diversity and entropy. The various indices used to measure these natural phenomena are examined and their origins identified. Selected examples of their application are reviewed. The aim is to provide a background to concentration metrics that have been applied in different fields of study, thus aiding the identification of topics where they might be used for future research
<div><p>Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversi...
Entropies such as the Shannon/Wiener and Gini/Simpson indices are not themselves diversities. Conver...
Entropy measures provide important tools to indicate variety in distributions at particular moments ...
Many diversity, concentration and entropy metrics are analogous, sharing common origins in ecologica...
A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based &qu...
The diversity of a species assemblage has been studied extensively for many decades in relation to i...
A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based “re...
Concavity and additivity are two desirable properties of diversity measures that are derived from di...
From economic inequality and species diversity to power laws and the analysis of multiple trends and...
International audienceModern measures of diversity satisfy reasonable axioms, are parameterized to p...
Traditional diversity measures such as the Shannon entropy are generally computed from the species' ...
This paper presents several indices to describe multivariate diversity and evenness. Multivariate ge...
Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how on...
Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profi...
Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profi...
<div><p>Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversi...
Entropies such as the Shannon/Wiener and Gini/Simpson indices are not themselves diversities. Conver...
Entropy measures provide important tools to indicate variety in distributions at particular moments ...
Many diversity, concentration and entropy metrics are analogous, sharing common origins in ecologica...
A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based &qu...
The diversity of a species assemblage has been studied extensively for many decades in relation to i...
A generalized nth power index of concentration is defined; for n = 1 it yields the entropy-based “re...
Concavity and additivity are two desirable properties of diversity measures that are derived from di...
From economic inequality and species diversity to power laws and the analysis of multiple trends and...
International audienceModern measures of diversity satisfy reasonable axioms, are parameterized to p...
Traditional diversity measures such as the Shannon entropy are generally computed from the species' ...
This paper presents several indices to describe multivariate diversity and evenness. Multivariate ge...
Shannon’s entropy measure is a popular means for quantifying ecological diversity. We explore how on...
Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profi...
Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversity profi...
<div><p>Modern measures of diversity satisfy reasonable axioms, are parameterized to produce diversi...
Entropies such as the Shannon/Wiener and Gini/Simpson indices are not themselves diversities. Conver...
Entropy measures provide important tools to indicate variety in distributions at particular moments ...