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    National Tsing Hua University Institutional Repository > 理學院 > 統計學研究所 > 期刊論文 >  Application of Laplace's boundary-mode approximations to estimate species and shared species richness

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/54107

    Title: Application of Laplace's boundary-mode approximations to estimate species and shared species richness
    Authors: Chao A;Shen TJ;Hwang WH
    教師: 趙蓮菊
    Date: 2006
    Publisher: JOHN WILEY & SONS INC
    Relation: AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS,Volume: 48,Issue: 2,Pages: 117-128,Published: JUN 2006
    Abstract: The Laplace method for approximating integrals is a useful technique in a number of research fields. This paper shows that it also has interesting applications in biological and ecological statistical inferences. When sample abundance or replicated incidence (i.e., presence or absence) records of each species are available, the expected low-order frequency counts in heterogeneous communities can be approximated by the Laplace method when the species discovery or detection probabilities are bounded from below by a constant. The approximation formulae as applied to one community can then be used to derive estimators of species richness and to examine their performance. The approach is also extended to obtain simple and new estimators for the number of shared species in two communities. The replicated species incidence data recorded by competing teams of the Hong Kong Big Bird Race for the years 1999 and 2000 are used to estimate the number of resident birds in Hong Kong and to illustrate the method of estimation.
    URI: http://as.wiley.com/WileyCDA/Section/index.html
    Appears in Collections:[統計學研究所] 期刊論文

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