Multivariate geostatistics

Abstract

Extension of the kriging system to the multivariate environment allows to simultaneously estimate several variables, for example main metals and the deleterious elements. Methodology, referred as co-kriging, can be applied in isotopic and heterotopic cases. Properties of the co-kriging systems are analysed and shown that application of the co-kriging in isotopic neighbourhood is limited and depends on spatial correlation between variables. In case of intrinsic correlation, which means that all simple and cross-structures are identical, their co-kriging in isotopic environment produces the same estimate as their direct univariate kriging.