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Wiley InterScience

Biometrics

Biometrics

Volume 62 Issue 1, Pages 135 - 141

Published Online: 23 Jun 2005

©2009 International Biometric Society



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An Estimator of Number of Species from Quadrat Sampling
Peter J. Haas 1 , Yushan Liu 2 , and Lynne Stokes 3, *
  1 IBM Almaden Research Center, 650 Harry Road, San Jose, California 95120, U.S.A.   2 PPDI, Wilmington, North Carolina 28412, U.S.A.   3 Department of Statistical Sciences, Southern Methodist University, Dallas, Texas 75275, U.S.A.
Correspondence to   * email: slstokes@mail.smu.edu
Copyright 2005, The International Biometric Society
KEYWORDS
Block sampling • Cluster sampling • Distinct values • Jackknife estimator • Nonparametric estimator • Number of classes

ABSTRACT

Summary .   We consider the problem of estimating the number of distinct species S in a study area from the recorded presence or absence of species in each of a sample of quadrats. A generalized jackknife estimator of S is derived, along with an estimate of its variance. It is compared with the jackknife estimator for S proposed by Heltshe and Forrester (1983, Biometrics39, 1–12) and the empirical Bayes estimator of Mingoti and Meeden (1992, Biometrics48, 863–875). We show that the empirical Bayes estimator has the form of a generalized jackknife estimator under a specific model for species distribution. We compare the new estimators of S to the empirical Bayes estimator via simulation. We characterize circumstances under which each is superior.


Received July 2003. Revised February 2005. Accepted March 2005.

DIGITAL OBJECT IDENTIFIER (DOI)
10.1111/j.1541-0420.2005.00390.x About DOI

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