In this section two new point process are described and shown to satisfy Condition 2. No particular virtues are claimed for these processes. The main point of proposing them is to show how easy it is to invent new processes and do statistical inference for them. In an application motivated by a real scientific question, it is likely that no process in the existing literature would be of scientific interest and a model specific to the application would be invented. The two processes studied here are `models for clustering' that avoid, in different ways, the pitfall that ensnared the Strauss process. They will be fitted to a made-up data set simulated from one of the processes in question.