Estimating the Species Accumulation Curve Using Mixtures
Article first published online: 21 MAR 2005
Volume 61, Issue 2, pages 433–441, June 2005
How to Cite
Xuan Mao, C., Colwell, R. K. and Chang, J. (2005), Estimating the Species Accumulation Curve Using Mixtures. Biometrics, 61: 433–441. doi: 10.1111/j.1541-0420.2005.00316.x
- Issue published online: 7 JUL 2005
- Article first published online: 21 MAR 2005
- Received March 2003. Revised September 2004. Accepted September 2004.
- Conditional likelihood;
- Species richness
Summary As a significant tool in ecological studies, the species accumulation curve or the collector's curve is the graph of the expected number of detected species as a function of sampling effort. The problem of estimating the species accumulation curve based on an empirical data set arising from quadrat sampling is studied in a nonparametric binomial mixture model. It will be shown that estimating the species accumulation curve not only is independent of the unknown number of species but also includes estimating the number of species as a limiting case. For the purpose of interpolation, moment-based estimators, associated with asymptotic confidence intervals, are developed from several points of view. A likelihood-based procedure is developed for the purpose of extrapolation, associated with bootstrap confidence intervals. The proposed methods are illustrated by ecological data sets.