A Point Process Model for Simulating Gang-on-Gang Violence

Gang on gang violence is a prevalent problem in Los Angeles. In this paper a point process method is presented for simulating gang on gang crimes. The Hawkes process, a self exciting point process, is introduced as a temporal model for crimes between pairs of gangs. This model is expanded upon to simulate crimes not only temporally but also spatially. Following this, we introduce a method to assign directionality to these crimes. Finally, we present a model to simulate directed crimes in the 33 gang system of the policing district Hollenbeck, Los Angeles.