publication . Preprint . 2014

Divergence Measures as Diversity Indices

Abou-Moustafa, Karim T.;
Open Access English
  • Published: 12 Aug 2014
Entropy measures of probability distributions are widely used measures in ecology, biology, genetics, and in other fields, to quantify species diversity of a community. Unfortunately, entropy-based diversity indices, or diversity indices for short, suffer from three problems. First, when computing the diversity for samples withdrawn from communities with different structures, diversity indices can easily yield non-comparable and hard to interpret results. Second, diversity indices impose weighting schemes on the species distributions that unnecessarily emphasize low abundant rare species, or erroneously identified ones. Third, diversity indices do not allow for ...
free text keywords: Quantitative Biology - Populations and Evolution, Quantitative Biology - Quantitative Methods, Statistics - Methodology
Download from
28 references, page 1 of 2

Ali, S. and Silvey, S. (1966). A general class of coefficients of divergence of one distribution from another. J. of the Royal Statistical Society. Series B, 28(1):131-142. [OpenAIRE]

Bhattacharyya, A. (1943). On a measure of divergence between two statistical populations defined by their probability distributions. Bull. Calcutta Math. Soc., 35:99-109.

Chao, A. (1984). Nonparametric estimation of the number of classes in a population. Scandinavian J. of Statistics, 11(4):265-270.

Chao, A. and Shen, T. (2003). Nonparametric estimation of Shannon index of diversity when there are unseen species in sample. Environmental and Ecological Statistics, 10(4):429-443.

Csisz´ar, I. (1967). Information-type measures of difference of probability distributions and indirect observations. Studia Scientiarium Mathematicarum Hungarica, 2:299-318.

Fisher, R., Corbet, A., and Williams, C. (1943). The relation between the number of species and the number of individuals in a random sample of an animal population. J. of Animal Ecology, 12(1):42-58. [OpenAIRE]

Hill, M. (1973). Diversity and evenness: A unifying notation and its consequences. Ecology, 54(2):427-432.

Hill, T., Walsh, K., Harris, J., and Moffett, B. (2003). Using ecological diversity measures with bacterial communities. FEMS Microbiology Ecology, 43(1):1 - 11.

Hui, C., Veldtman, R., and McGeoch, M. (2010). Measures, perceptions and scaling patterns of aggregated species distributions. Ecography, 33(1):95- 102.

Hurlbert, S. (1971). The nonconcept of species diversity: A critique and alternative parameters. Ecology, 52(4):577-586. [OpenAIRE]

Jost, L. (2006). Entropy and diversity. Oikos, 113(2):363-375.

Kullback, S. (1997). Information Theory and Statistics - Dover Edition. Dover.

Li, K., Bihan, M., Yooseph, S., and Meth, B. (2012). Analyses of the microbial diversity across the human microbiome. PLoS ONE, 7(6). [OpenAIRE]

Lin, J. (1991). Divergence measures based on the Shannon entropy. IEEE Trans. on Information Theory, 37(1):145 - 151.

MacArthur, R. (1955). Fluctuations of animal populations, and a measure of community stability. Ecology, 36(3):533-536. [OpenAIRE]

28 references, page 1 of 2
Powered by OpenAIRE Research Graph
Any information missing or wrong?Report an Issue