As far as I know, there are a lot of methods developed for simulating 2D random field with Gaussian distribution, such as geostatistical method, Fourier transform, etc. But a lot of geoscientific variables did not obey normal distribution, but power law distrbution, or nearly log-normal but with thick tail.

How can I simulate such a spatially correlated random field with power law distribution using ArcGIS Desktop?

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