A Fast and Robust Way to Estimate Overlap of Niches, and Draw Inference

Parkinson Judith H. (), Kutil Raoul (), Kuppler Jonas (), Junker Robert R. (), Trutschnig Wolfgang () and Bathke Arne C. ()
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Parkinson Judith H.: Department of Mathematics, University of Salzburg, Hellbrunner Straße 34, 5020Salzburg, Austria
Kutil Raoul: Department of Mathematics, University of Salzburg, Hellbrunner Straße 34, 5020Salzburg, Austria
Kuppler Jonas: Institute of Evolutionary Ecology and Conservation Genomics, University of Ulm, Albert-Einstein-Allee 1189075 Ulm, Germany
Junker Robert R.: Department of Biosciences, University of Salzburg, Hellbrunner Straße 34, 5020Salzburg, Austria
Trutschnig Wolfgang: Department of Mathematics, University of Salzburg, Hellbrunner Straße 34, 5020Salzburg, Austria
Bathke Arne C.: Department of Mathematics, University of Salzburg, Hellbrunner Straße 34, 5020Salzburg, Austria

The International Journal of Biostatistics, 2018, vol. 14, issue 2, 23

Abstract: The problem of quantifying the overlap of Hutchinsonian niches has received much attention lately, in particular in quantitative ecology, from where it also originates. However, the niche concept has the potential to also be useful in many other application areas, as for example in economics. We are presenting a fully nonparametric, robust solution to this problem, along with exact shortcut formulas based on rank-statistics, and with a rather intuitive probabilistic interpretation. Furthermore, by deriving the asymptotic sampling distribution of the estimators, we are proposing the first asymptotically valid inference method, providing confidence intervals for the niche overlap. The theoretical considerations are supplemented by simulation studies and a real data example.

Keywords: rank statistics; Asymptotics; Bootstrap; overlap of populations; niches (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1515/ijb-2017-0028

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