Space-time processes constitute a particular class, requiring suitable
tools in order to predict values in time and space, such as a space-t
ime variogram or covariance function. The space-time covariance functi
on is defined and linked to the Linear Model of Coregionalization unde
r second-order space-time stationarity. Simple and ordinary space-time
kriging systems are compared to simple and ordinary cokriging and the
ir differences for unbiasedness conditions are underlined. The ordinar
y space-time kriging estimation then is applied to simulated data. Pre
diction variances and prediction errors are compared with those for or
dinary kriging and cokriging under different unbiasedness conditions u
sing a cross validation. The results show that space-time kriging tend
to produce lower prediction variances and prediction errors that krig
ing and cokriging.