Modeling and prediction of multivariate space-time random fields

In various environmental studies multivariate spatial–temporal correlated data are involved, hence appropriate techniques to enhance space–time prediction are in great demand. An extension of multivariate spatial geostatistics to a spatio-temporal domain might be a straightforward task; nevertheless, up to now, little has been done in a multivariate spatial–temporal context. Modeling and prediction techniques are described for a multivariate space–time random field, moreover some theoretical and practical aspects are investigated for a bivariate space–time random field through a case study.