Uncertainty of block estimates introduced by mis-allocation of point samples: on the example of spatial indoor Radon data.

The European indoor Radon map which is currently under production is based on gridded data supplied by the contributing countries. Each grid node represents the arithmetic mean (among other statistics) of the individual measurements within 10 x 10 km(2), called cells, pixels or blocks, which are aligned to a common metric coordinate system. During work the question emerged, if uncertainty in the geo-referencing of individual data might affect the aggregated "block" statistics to an extent that the statistics have an unpredictably high additional uncertainty, which makes them unusable. In this note we try to quantify the effect, based on simulations. The overall result is that the relevant statistics should not be affected too badly in most cases, in particular if the rate of mis-allocations, and the mean uncertainty of coordinates are not too high, so that also cell statistics which are to some degree distorted by mis-allocated data, can still be used for the purpose of the European Radon map.