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Coupling is a widely used technique in the theoretical study of interactingstochastic processes. In this paper I present an example demonstrating itsusefulness also in the efficient computer simulation of such processes. I firstdescribe a basic coupling technique, applicable to all kinds of processes,which allows trading memory use for a limited speedup. Next, I describe aspecialized variant of it, which can be used to speed up the simulation certainkinds of processes satisfying a monotonicity criterion. This special algorithmincreases the speed by several orders of magnitude with only a modest increasein memory usage.

Coupling methods for efficient simulation of spatial population dynamics