TITLE: On the effect of islands in the diffusive properties of the standard map, for large parameter values AUTHORS: Narcis Miguel, Carles Simo, Arturo Vieiro Departament de Matematica Aplicada i Analisi Universitat de Barcelona Gran Via 585 08007 Barcelona, Spain. ABSTRACT: In this paper we review, based on massive, long term, numerical simulations, the effect of islands on the statistical properties of the standard map for large parameter values. Different sources of discrepancy with respect to typical diffusion are identified, the individual roles of them are compared and explained in terms of available limit models.