On Thursday 19 July 2007, sara sabri wrote:
> Dear all
> In generating simulation, e.g. sequential Gaussian simulation the first
> step is to define a random path through all grid nodes as each point
> visited only once. My question is why it is said define if it is a random
> path???

Hi Sara, and list,

I'm not positive about your question, so I'll answer a few things:

1. A conventional definition of a path would be an ordered series of spatially 
adjacent locations. This is not what is meant here. In this case, the path is 
an ordered sequence of nodes at which simulations will be made. The order 
need not be sequentially spatially adjacent; indeed, the results might not be 
very satisfying if that were done, since each node simulation is conditioned 
on nearby, previously simulated nodes.

2. Interestingly, I think many implementations don't employ a (pseudo) random 
path, but rather use a nested grid sort of pattern. The main point is that 
you don't want to, say, begin in the upper left corner, process each node in 
the row, and then move on to the next row....

There's a brief discussion of some of these issues in Goovaerts (1997) p. 379, 
as well I'm sure in other textbooks (someone has run off with my edition of 
Chiles & Delfiner, and I'm less familiar with others).

Goovaerts, P. (1997) Geostatistics for Natural Resources Evaluation.

-- 
Ashton Shortridge
Associate Professor                     [EMAIL PROTECTED]
Dept of Geography                       http://www.msu.edu/~ashton
235 Geography Building                  ph (517) 432-3561
Michigan State University               fx (517) 432-1671
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