Cluster formation in a stepping stone model with continuous, hierarchically structured sites

Abstract

A stepping stone model with site space a continuous, hierarchical group is constructed via duality with a system of (delayed) coalescing 'stable' Levy processes. This model can be understood as a continuum limit of discrete state-space, two allele, genetics models with hierarchically structured resampling and migration. The existence of a process rescaling limit on suitable large space and time scales is established and interpreted in terms of the dynamics of cluster formation. This paper was inspired by recent work of Klenke. (orig.)Available from TIB Hannover: RR 5549(187)+a / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman