I'm trying to figure out how one might go about simulating a landscape
(matrix) in R.  For example if one wanted to generate a simulated landscape
of precipitation values for some area (say a 100 X 100 matrix) they could
generate 10,000 numbers using a random normal distribution with a mean and
std. dev. and randomly allocate these generated numbers to the grid cells.
However, this is too simplistic and the resulting matrix will be very noisy
since one cell could have a very high value and an adjacent cell could have
a very low value.  Is it possible to generate a simulated matrix that would
somehow incorporate a measure of spatial autocorrelation, so that grid cells
closer to each other are similar?

 

Is this sort of thing possible in R to get a realistic surface or are other
software packages (e.g., surface visualizations/rendering) more appropriate
for this sort of thing?


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