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.