  We consider a dependent thinning of a regular point process with the aim of
obtaining aggregation on the large scale and regularity on the small scale in
the resulting target point process of retained points. Various parametric
models for the underlying processes are suggested and the properties of the
target point process are studied. Simulation and inference procedures are
discussed when a realization of the target point process is observed, depending
on whether the thinned points are observed or not. The paper extends previous
work by Dietrich Stoyan on interrupted point processes.
