Use of the Spatial Random Effects (SRE) model has been motivated by the need to reduce the
amount of computation involved in obtaining optimal predictors and their prediction standard errors.
This reduction in computation relies on the covariance matrix of the random effects being of low
rank. In this proceedings paper, the selection of the rank and the selection of the accompanying
basis functions of the SRE model are investigated. We explore selection criteria that include the
generalized degrees of freedom and two information criteria; their relative performance is assessed