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The International Journal of Biostatistics

Ed. by Chambaz, Antoine / Hubbard, Alan E. / van der Laan, Mark J.

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1557-4679
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A Fast and Robust Way to Estimate Overlap of Niches, and Draw Inference

Judith H. Parkinson / Raoul Kutil / Jonas KupplerORCID iD: http://orcid.org/0000-0003-4409-9367 / Robert R. Junker / Wolfgang Trutschnig / Arne C. Bathke
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  • Department of Mathematics, University of Salzburg, Hellbrunner Straße 34, 5020 Salzburg, Austria
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Published Online: 2018-06-15 | DOI: https://doi.org/10.1515/ijb-2017-0028

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

References

  • [1]

    Blonder B. Pushing past boundaries for trait hypervolumes: a response to carmona et al. Trends Ecol Evol. 2016;31:665–667.CrossrefPubMedGoogle Scholar

  • [2]

    Blonder B, Lamanna C, Violle C, and Enquist BJ. The n-dimensional hypervolume. Global Ecol Biogeogr. 2014;23:595–609.CrossrefGoogle Scholar

  • [3]

    Carmona CP, de Bello F, Mason NW, Lepš J. The density awakens: a reply to blonder. Trends Ecol Evol. 2016;31:667–669.CrossrefPubMedWeb of ScienceGoogle Scholar

  • [4]

    Carmona CP, de Bello F, Mason NW, Lepš J. Traits without borders: integrating functional diversity across scales. Trends Ecol Evol. 2016;31:382–394.Web of SciencePubMedCrossrefGoogle Scholar

  • [5]

    Junker RR, Kuppler J, Bathke AC, Schreyer M, Trutschnig W. Dynamic range boxes a robust nonparametric approach to quantify size and overlap of n dimensional hypervolumes. Meth Ecol Evol. 2016;7:1503–1513.Google Scholar

  • [6]

    Swanson HK, Lysy M, Power M, Stasko AD, Johnson JD, Reist JD. A new probabilistic method for quantifying n-dimensional ecological niches and niche overlap. Ecology 2015;96:318–324.CrossrefWeb of SciencePubMedGoogle Scholar

  • [7]

    Hutchinson G. Concluding remarks. Cold Spring Harbor Symposia on Quantitative Biology, 1957.Google Scholar

  • [8]

    Lamanna C, Blonder B, Violle C, Kraft NJ, Sandel B, Šímová I, Donoghue JC, Svenning JC, McGill BJ, Boyle B, Buzzard V. Functional trait space and the latitudinal diversity gradient. Proc Nat Acad Sci USA. 2014;111:13745–13750.CrossrefGoogle Scholar

  • [9]

    Li Y, Shipley B, Price JN, Dantas VD, Tamme R, Westoby M, Siefert A, Schamp BS, Spasojevic MJ, Jung V, Laughlin DC. Habitat filtering determines the functional niche occupancy of plant communities worldwide. J Ecol, 2017. doi: .CrossrefWeb of ScienceGoogle Scholar

  • [10]

    Kuppler J, Hoefers M, Trutschnig W, Bathke A, Eiben J, Daehler C, Junker R. Exotic flower visitors exploit large floral trait spaces resulting in asymmetric resource partitioning with native visitors. Func Ecol. 2017. doi: .CrossrefGoogle Scholar

  • [11]

    Barros C, Thuiller W, Georges D, Boulangeat I, and Münkemüller T. N-dimensional hypervolumes to study stability of complex ecosystems. Ecol Lett. 2016;19:729–742.PubMedCrossrefWeb of ScienceGoogle Scholar

  • [12]

    Lichenstein J, Wright C, McEwen B, Pinter-Wollman N, Pruitt J. The multidimensional behavioural hypervolumes to two interactions species predict their space use and survivial. Anim Behav. 2017;132:129–136.CrossrefGoogle Scholar

  • [13]

    Nunes L, Pearson R. A null biogeographical test for assessing ecological niche evolution. J Biogeogr. 2017;44:1331–1343.Web of ScienceCrossrefGoogle Scholar

  • [14]

    Blonder B. Hypervolume concepts in niche- and trait-based ecology. Ecography 2017;40:001–013.Google Scholar

  • [15]

    Drake JM. Range bagging: a new method for ecological niche modelling from presence-only data. J R Soc Interface. 2015;12:20150086.PubMedCrossrefWeb of ScienceGoogle Scholar

  • [16]

    Isotalo J. . Basics of Statistics. CreateSpace Independent Publishing Platform, 2014.Google Scholar

  • [17]

    ICH Expert Working Group. Statistical principles for clinical trials. ICH Harmonised Tripartite Guideline, 1998.Google Scholar

  • [18]

    Schulz KF, Altman DG, Moher D. Consort 2010 statement: updated guidelines for reporting parallel group randomised trials. BMC Med. 2010;8:18.Web of ScienceGoogle Scholar

  • [19]

    Vandenbroucke JP, Von Elm E, Altman DG, Gøtzsche PC, Mulrow CD, Pocock SJ, et al. Strengthening the reporting of observational studies in epidemiology (strobe): explanation and elaboration. PLoS Med. 2007;4:e297.Web of ScienceCrossrefGoogle Scholar

  • [20]

    Hsieh FY, Turnball BW. Nonparametric and semiparametric estimation of the receiver operating characteristic curve. Ann Stat. 1996;24:25–40.CrossrefGoogle Scholar

  • [21]

    Brunner E, Munzel U. Nichtparametrische Datenanalyse. Berlin Heidelberg: Springer Spektrum, 2013.Google Scholar

  • [22]

    Jean J, Shiryaev A. Limit theorems for stochastic processes, 2nd ed. Berlin Heidelberg New York: Springer-Verlag, 2003.Google Scholar

  • [23]

    Konietschke F. Simultane konfidenzintervalle für nicht parametrische relative kontrasteffekte. Ph.D. thesis, University of Göttingen, 2009.Google Scholar

  • [24]

    Junker RR, Daehler CC, Dötterl S, Keller A, Blüthgen N. Hawaiian ant-flower networks: nectar-thieving ants prefer undefended native over introduces plants with floral defenses. Ecol Monogr. 2011;81 (2): 295–311.CrossrefGoogle Scholar

  • [25]

    McInerny GJ, Etienne RS. Ditch the niche–is the niche a useful concept in ecology or species distribution modelling?. J Biogeogr. 2012;39:2096–2102.Web of ScienceCrossrefGoogle Scholar

  • [26]

    McInerny GJ, Etienne RS. Pitch the niche–taking responsibility for the concepts we use in ecology and species distribution modelling. J Biogeogr. 2012;39:2112–2118.CrossrefWeb of ScienceGoogle Scholar

  • [27]

    McInerny GJ, Etienne RS. Stitch the niche–a practical philosophy and visual schematic for the niche concept. J Biogeogr. 2012;39:2103–2111.Web of ScienceCrossrefGoogle Scholar

  • [28]

    van der Vaart W, Wellner JA. Weak convergence and empirical processes. New York: Springer Verlag, 1996.Google Scholar

  • [29]

    Vervaart W. A relation between brownian bridge and brownian excursion. Ann Probab. 1979;7:143–149.CrossrefGoogle Scholar

  • [30]

    Durrett R, Iglehart D. Functionals of brownian meander and brownian excursion. Ann Probab. 1977;5:130–135.CrossrefGoogle Scholar

  • [31]

    Billingsley P. Convergence of probability measures. New York: John Wiley and Sons Inc, 1999.Google Scholar

About the article

Received: 2017-03-31

Revised: 2018-02-16

Accepted: 2018-05-23

Published Online: 2018-06-15


Funding Source: Austrian Science Fund

Award identifier / Grant number: 10.13039/501100002428

This article was funded by the Austrian Science Fund (10.13039/501100002428), Grant Number: I 2697-N31.


Citation Information: The International Journal of Biostatistics, 20170028, ISSN (Online) 1557-4679, DOI: https://doi.org/10.1515/ijb-2017-0028.

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