  To study the impact of climate variables on morbidity of some diseases in
Mexico, we propose a spatio-temporal varying coefficients regression model. For
that we introduce a new spatio-temporal dependent process prior, in a Bayesian
context, with identically distributed normal marginal distributions and joint
multivariate normal distribution. We study its properties and characterise the
dependence induced. Our results show that the effect of climate variables, on
the incidence of specific diseases, is not constant across space and time and
our proposed model is able to capture and quantify those changes.
