This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 456
Type: Topic Contributed
Date/Time: Wednesday, August 4, 2010 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics and the Environment
Abstract - #306841
Title: A Horvitz-Thompson--Type Estimator of Species Richness
Author(s): Steen Magnussen*+
Companies: Canadian Forest Service
Address: 506 west burnside road, victoria, BC, v8z 1m5, canada
Keywords: cluster sampling ; quadrat sampling ; unequal probability sampling ; forest tree species
Abstract:

A Horvitz-Thompson type estimator of species richness for plot (cluster) sampling is constructed by considering species sampling as sampling with unequal probability. Inclusion probabilities are estimated from sample-based estimates of relative species incidences and co-occurrence. Bias is addressed by adding to each observed species the expected number of unseen species given its relative incidence. A Hansen-Hurwitz estimator of variance augmented by the anticipated variance from sample-based inclusion probabilities and the number of observed species is adopted.In simulation of simple random quadrat sampling from eleven large finite populations of forest trees and five sample sizes, the proposed estimator achieved the best overall ranking in terms of root mean-squared errors (RMSE) when compared to 13 alternative estimators. The new estimator ranked third in terms of bias.


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