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National Chung Hsing University Institutional Repository - NCHUIR > 理學院 > 統計學研究所 > 依資料類型分類 > 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://nchuir.lib.nchu.edu.tw/handle/309270000/133581

標題: Application of Laplace's boundary-mode approximations to estimate species and shared species richness
作者: Chao, A.;Shen, T.J.;Hwang, W.H.
關鍵字: diversity indices;heterogeneity;species abundance;species incidence;capture-recapture models;population-size;posterior expectations;number;probabilities
日期: 2006
Issue Date: 2012-12-14 10:05:34 (UTC+8)
關連: Australian & New Zealand Journal of Statistics, Volume 48, Issue 2, Page(s) 117-128.
摘要: 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.
Relation: Australian & New Zealand Journal of Statistics
Appears in Collections:[依資料類型分類] 期刊論文
[依教師分類] 沈宗荏
[依教師分類] 沈宗荏

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