Inferences on the number of unseen species and the number of abundant/ rare species
Abstract
This paper focuses on estimating the number of species and the number of abundant species in a specific geographic region and, consequently, draw inferences on the number of rare species. The word 'species' is generic referring to any objects in a population that can be categorized. In the areas of biology, ecology, literature, etc, the species frequency distributions are usually severely skewed, in which case the population contains a few very abundant species and many rare ones. To model a such situation, we develop an asymmetric multinomial-Dirichlet probability model using species frequency data. Posterior distributions on the number of species and the number of abundant species are obtained and posterior inferences are induced using MCMC simulations. Simulations are used to demonstrate and evaluate the developed methodology. We apply the method to a DNA segment data set and a butterfly data set. Comparisons among different approaches to inferring the number of species are also discussed in this paper.
Publication Title
Journal of Applied Statistics
Recommended Citation
Zhang, H. (2007). Inferences on the number of unseen species and the number of abundant/ rare species. Journal of Applied Statistics, 34 (6), 725-740. https://doi.org/10.1080/02664760701237010
