Community Ecology
Volume/Issue:
Volume 2: Issue 2
Estimation of species richness based on species range
Authors:
G.P. Patil Center for Statistical Ecology and Environmental Statistics, Department of Statistics, The Pennsylvania State Unversity University Park, PA 16802, USA

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C. Taillie Center for Statistical Ecology and Environmental Statistics, Department of Statistics, The Pennsylvania State Unversity University Park, PA 16802, USA

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Pages:
209–211
Online Publication Date:
22 Jul 2005
Publication Date:
01 Dec 2001
Article Category:
Research Article
DOI:
https://doi.org/10.1556/comec.2.2001.2.8
Keywords:
Expansion estimator; Expansion estimator; Horvitz-Thompson estimator; Hypergeometric probability; Ill-posed problems; Inclusion probability; Quadrat sampling; Regularization
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A geographical region, containing an unknown number of species, is partitioned into N quadrats. The range of a species is defined to be the number of quadrats in which the species is present. A random sample of n quadrats is drawn without replacement, and the species list is determined for each of the selected quadrats. Two estimators of S are proposed. The inclusion probabilities in the Horvitz-Thompson estimator involve the unknown species ranges but these ranges can be estimated to yield an "estimated" Horvitz-Thompson estimator. This estimator is biased because of the use of estimated inclusion probabilities. For the other estimator, it is shown that the expected number of species in the sample having a specified sample range r is a linear combination over R of the number S R of species in the population with population range R. Letting r vary yields a system of linear equations that can be solved to obtain estimates for the S R and for S. These estimators for S R and S are shown to be unbiased when the sample size n is sufficiently large. _

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Cover Community Ecology
Community Ecology An Interdisciplinary Journal Reporting Progress in Community and Population Studies
Print ISSN:
1585-8553
Online ISSN:
1588-2756

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Community Ecology
Language English
Size A4
Year of
Foundation		 2000
Volumes
per Year		 1
Issues
per Year		 3
Founder Akadémiai Kiadó
Founder's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 1585-8553 (Print)
ISSN 1588-2756 (Online)

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