  Models for fitting spatio-temporal point processes should incorporate
spatio-temporal inhomogeneity and allow for different types of interaction
between points (clustering or regularity). This paper proposes an extension of
the spatial multi-scale area-interaction model to a spatio-temporal framework.
This model allows for interaction between points at different spatio-temporal
scales and the inclusion of covariates. We fit the proposed model to varicella
cases registered during 2013 in Valencia, Spain. The fitted model indicates
small scale clustering and regularity for higher spatio-temporal scales.
