Design based inference for Functional diversity profile

In this paper the sampling design for β-diversity function is developped. In ecological framework the biological diversity is measured by means of a curve named diversity profile which consists in a sequence of measurement allowing different aspects of the structure of the biological community. From this point of view the suitable statistical approach is Functional data Analisys (FDA). We focus our attention in the case in which the problem is to estimate the diversity profile by means of a suitable sampling design. A fixed sampling approach will be considered, we also provide statistical inference on the Horvitz-Thompson estimator of the β-diversity profile