THE 'characteristic' defined by Yule1 and the 'index of diversity' defined by Fisher2 are two measures of the degree of concentration or diversity achieved when the individuals of a population are classified into groups. Both are defined as statistics to be calculated from sample data and not in terms of population constants. The index of diversity has so far been used chiefly with the logarithmic distribution. It cannot be used everywhere, as it does not always give values which are independent of sample size ; it cannot do so, for example, when applied to an infinite population of individuals classified into a finite number of groups. Williams3 has pointed out a relationship between the characteristic and the index of diversity when both are applied to a logarithmic distribution. The present purpose is to define and examine a measure of concentration in terms of population constants.
Yule, "Statistical Study of Literary Vocabulary" (Cambridge, 1944).
Fisher, Corbet and Williams, J. Animal Ecol., 12, 42 (1943).
Williams, Nature, 157, 482 (1946).
About this article
Cite this article
SIMPSON, E. Measurement of Diversity. Nature 163, 688 (1949). https://doi.org/10.1038/163688a0
This article is cited by
Recolonization by Indigenous broadleaved species of a conifer plantation (Cupressus spp.) in Northern Iran after 25 years
Annals of Forest Science (2022)
Effects of planting of two common crops, Allium fistulosum and Brassica napus, on soil properties and microbial communities of ginseng cultivation in northeast China
BMC Microbiology (2022)
Respiratory Research (2022)
Host tp53 mutation induces gut dysbiosis eliciting inflammation through disturbed sialic acid metabolism