Hi list,

I need to generate a field f(x,y) with given variogram. More precisely, I
have N points (x,y) and I want to assign f(x,y) such that the variable f
has a spatial autocorrelation structure according to a given variogram
model.

My impression is that the way to do it is simulated annealing, as
described in chapter 11 of the GSLIB manual. Is that correct ? Any other
methods ? Is there any easy-to-use & free software for this purpose ? Any
recommended literature ?

For time series (1-dim case with regular grid) there is the possibilty of
random walk, or more generally Levy flights to produce autocorrelated
series, or alternatively, define a Fourier spectrum with given slope of
the continous log-log power spectrum and inverse transform. Is there an
analoguos technique for the 2- (or n-) dim. case ?

A possibly related question: How to produce a field with given (geometric
or stochastic) multifractal structure ?


Thanks for any hint
Peter


=================================================================
Dr. Peter Bossew
Department of Physics and Biophysics, University of Salzburg, Austria

[EMAIL PROTECTED]
[EMAIL PROTECTED]


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