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Accuracy in the estimation of quantitative minimal area from the diversity/area curve. (English) Zbl 1066.62110

Summary: The problem of representativity is fundamental in ecological studies. A qualitative minimal area that gives a good representation of species pools can be discerned from a quantitative minimal area which reflects the structural complexity of the community. This suggests that the populational diversity can be considered as the value of the horizontal asymptotic corresponding to the curve sample diversity/biomass.
We develop an expression to determine minimal areas and use it to obtain certain information about the community structure based on diversity/area curve graphs. This expression is based on the functional relationship between the expected value of the diversity and the sample size used to estimate it. In order to establish the quality of the estimation process, we obtained confidence intervals as a particularization of the functional (\(h-\phi\))-entropies proposed by M. Salicrú et al. [Commun. Stat., Theory Methods 22, No. 7, 2015–2031 (1993; Zbl 0791.62005)]. As an example used to demonstrate the possibilities of this method, and only for illustrative purposes, data from a study on the rocky intertidal seawed populations in the Ria of Vigo (N.W. Spain) are analyzed.

MSC:

62P12 Applications of statistics to environmental and related topics
92D40 Ecology

Citations:

Zbl 0791.62005
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References:

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