Spatial coupling of neutral measure-valued population models

In this article we discuss spatial couplings for measure-valued population models which have a particle representation. We will show that provided the corresponding genealogies are compact the qualitative behavior of a coupling of a particle's individual motion translates into a coupling of the continuous mass measure-valued models. As applications of the above method we present a coupling of diffusions on and a perturbation estimate for a class of semilinear partial differential equations.