This is a geostatistical predictive modelling of soil pH in the northern region of Ghana.
The semivariogram is a necessary step in geostatistical prediction. It is a statistical model of the spatial structure of the observed quantities being modelled, in this case, soil pH. The range, sill and nugget are key informational statistics derived from the semivariogram. The plot shows that the range of spatial autocorrelation for soil pH in the northern region is about 25km.
The set of explanatory variables could explain about 40% of the variability in the maize yield.
Ordinary Kriging is a geostatistical model that assumes that there is a constant unknown mean across the study area. The map indicates that the soils have a nearly neutral pH (5.4-6.4) which is good for maize production.
In addition to the predictions, Ordinary Kriging produces a variance for each prediction based on which the standard deviation was calculated. As shown in the plot, the standard deviations for the predictions are much less than 1SD which indicates a reliable prediction accuracy.