  Spatial and spatio-temporal single-structure point process models are widely
used in epidemiology, biology, ecology, seismology... . However, most natural
phenomena present multiple interaction structure or exhibit dependence at
multiple scales in space and/or time, leading to define new spatial and
spatio-temporal multi-structure point process models. In this paper, we
investigate and review such multi-structure point process models mainly based
on Gibbs and Cox processes.
