An incidence-based richness estimator for quadrats sampled without replacement

Ecology
Tsung-Jen Shen, Fangliang He

Abstract

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 s...Continue Reading

References

Jul 29, 1994·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·R K Colwell, J A Coddington
Mar 18, 2006·Biometrics·Peter J HaasLynne Stokes

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Citations

Jun 1, 2012·Ecological Applications : a Publication of the Ecological Society of America·Sandro AzaeleWilliam E Kunin
Feb 28, 2009·The Journal of Animal Ecology·Jonathan A CoddingtonGustavo Hormiga
Apr 21, 2011·Biometrics·Jérôme A Dupuis, Michel Goulard
Dec 24, 2017·BMC Ecology·Tsung-Jen ShenYou-Fang Chen
May 29, 2018·Ecology·Sara J Snell TaylorAllen H Hurlbert

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