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We propose a generalization of Zhang's coefficient of determination togeneralized linear geostatistical models and illustrate its application toriver-blindness mapping. The generalized coefficient of determination has amore intuitive interpretation than other measures of predictive performance andallows to assess the individual contribution of each explanatory variable andthe random effects to spatial prediction. The developed methodology is alsomore widely applicable to any generalized linear mixed model.

On the goodness-of-fit of generalized linear geostatistical models