Estimating the number of shared species by a jackknife procedure

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• 作者：Chia-Jui Chuang ; Tsung-Jen Shen ; Wen-Han Hwang
• 关键词：Quadrat sampling ; Shared species ; Two ; sample jackknife
• 刊名：Environmental and Ecological Statistics
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：22
• 期：4
• 页码：759-778
• 全文大小：645 KB
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• 作者单位：Chia-Jui Chuang (1) (2)
  Tsung-Jen Shen (1)
  Wen-Han Hwang (1)
  
  1. Department of Applied Mathematics and Institute of Statistics, National Chung Hsing University, Taichung, Taiwan
  2. Center for Biomedical Resources, National Health Research Institutes, Zhunan, Taiwan
  
• 刊物类别：Biomedical and Life Sciences
• 刊物主题：Life Sciences
  Ecology
  Statistics
  Mathematical Biology
  Evolutionary Biology
  
• 出版者：Springer Netherlands
• ISSN：1573-3009

文摘

A sequence of jackknife estimators is developed to estimate the number of shared species in two communities. The estimators have simple and explicit formulae. A sequential testing criterion is also developed to determine a proper order for these jackknife estimators. The performance of the estimators is evaluated using empirical data on two forests from Malaysia, where 209 shared species present in both forests, and using simulated data. Results for the empirical data and simulated scenarios (for sampling fraction ranging from 0.5 to 20 %) show that the jackknife estimator, compared with other existing estimators, has a smaller bias and provides more reliable interval estimation in most cases. Additionally, two avian datasets from Taiwan and Hong Kong are used to demonstrate the proposed method. To extend the proposed method to three communities, we also list the first six orders of the jackknife estimators explicitly. Keywords Quadrat sampling Shared species Two-sample jackknife