Simultaneous inference on diversity of biological communities

In environmental statistics, surveys on the structure of biological communities are generally carried out by focusing on diversity indexes. A more complete analysis may be performed by means of an appropriate function giving a spectrum of different measures of diversity: diversity profiles. They can be expressed as a function of the unknown abundance vector of the ecological population. In this paper we develop a non parametric approach based on bootstrap in order to make inference on diversity profiles. The proposed procedure is applied on biological data of four parks in Milan, Italy.