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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 >  An incidence-based richness estimator for quadrats sampled without replacement

Please use this identifier to cite or link to this item: http://nchuir.lib.nchu.edu.tw/handle/309270000/133583

標題: An incidence-based richness estimator for quadrats sampled without replacement
作者: Shen, T.J.;He, F.L.
沈宗荏
關鍵字: maximum likelihood estimate;modified beta distribution;presence-absence;quadrat sampling;richness estimator;sampling without;replacement;zero-truncated binomial distribution;species richness;number;forest;extrapolation;community;size
日期: 2008
Issue Date: 2012-12-14 10:05:38 (UTC+8)
關連: Ecology, Volume 89, Issue 7, Page(s) 2052-2060.
摘要: Most richness estimators currently in use are derived from models that consider sampling with replacement or from the assumption of infinite populations. Neither of the assumptions is suitable for sampling sessile organisms such as plants where quadrats are often sampled without replacement and the area of study is always limited. In this paper, we propose an incidence-based parametric richness estimator that considers quadrat sampling without replacement in a fixed area. The estimator is derived from a zero-truncated binomial distribution for the number of quadrats containing a given species (e.g., species i) and a modified beta distribution for the probability of presence-absence of a species in a quadrat. The maximum likelihood estimate of richness is explicitly given and can be easily solved. The variance of the estimate is also obtained. The performance of the estimator is tested against nine other existing incidence-based estimators using two tree data sets where the true numbers of species are known. Results show that the new estimator is insensitive to sample size and outperforms the other methods as judged by the root mean squared errors. The superiority of the new method is particularly noticeable when large quadrat size is used, suggesting that a few large quadrats are preferred over many small ones when sampling diversity.
Relation: Ecology
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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