Methods for modeling a random variable with spatially inhomogenous statistical correlation versus distance, standard deviation, and mean by spatial interpolation with statistical corrections. The method includes assigning statistically independent random variable to a set of seed points in a coordinate frame and defining a plurality of test points at respective spatial locations in the coordinate frame. A equation for a random variable is determined for each of the test points by spatial interpolation from one or more of the random variable assigned to the seed points. The method further includes adjusting the equation of the random variable at each of the test point with respective correction factor equations.