A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Nonparametric species richness estimation under convexity constraint
We consider the estimation of the number N of present species in a given area at a given time, based on the abundances of species that have been observed. We adopt a nonparametric approach where the true abundance distribution p is only supposed to be convex. A definition for convex abundance distributions is proposed. A least‐squares estimate of the truncated version of p under the convexity constraint is used. Two estimators of N are deduced, the asymptotic distribution of which are derived. We propose three different procedures, including a bootstrap one, to obtain a confidence interval for N and a standard error for its estimator. The performances of the estimators are assessed in a simulation study and compared with competitors. The proposed method is illustrated on several examples. Copyright © 2015 John Wiley & Sons, Ltd.
Nonparametric species richness estimation under convexity constraint
We consider the estimation of the number N of present species in a given area at a given time, based on the abundances of species that have been observed. We adopt a nonparametric approach where the true abundance distribution p is only supposed to be convex. A definition for convex abundance distributions is proposed. A least‐squares estimate of the truncated version of p under the convexity constraint is used. Two estimators of N are deduced, the asymptotic distribution of which are derived. We propose three different procedures, including a bootstrap one, to obtain a confidence interval for N and a standard error for its estimator. The performances of the estimators are assessed in a simulation study and compared with competitors. The proposed method is illustrated on several examples. Copyright © 2015 John Wiley & Sons, Ltd.
Nonparametric species richness estimation under convexity constraint
Durot, Cécile (author) / Huet, Sylvie (author) / Koladjo, François (author) / Robin, Stéphane (author)
Environmetrics ; 26 ; 502-513
2015-11-01
12 pages
Article (Journal)
Electronic Resource
English
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