Hi Peter,

You might want to check out the VSP program....it may help answer your
question...

http://dqo.pnl.gov/

Cheers,

Greg Hellyer, Environmental Scientist
USEPA - New England Regional Lab
Ecosystem Assessment - Ecological Monitoring Team (ECA)
11 Technology Drive
North Chelmsford, MA  01863
www.epa.gov/region1/lab
[EMAIL PROTECTED]
617-918-8677
617-918-8577 (Fax)



                                                                        
             Peter Bossew                                               
             <[EMAIL PROTECTED]                                           
             flex.at>                                                To 
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                                                                Subject 
                                      AI-GEOSTATS: Sampling problem     
             08/16/2006 12:03                                           
             PM                                                         
                                                                        
                                                                        
              Please respond                                            
                    to                                                  
               Peter Bossew                                             
             <[EMAIL PROTECTED]                                           
                 flex.at>                                               
                                                                        
                                                                        




Dear list:

I have the following sampling problem. Given a rectangular regular grid
of
c columns and r rows (say 10*10), consisting of c*r cells of equal size.
I
want to chose n cells (say 15 out of 100 cells), which can be
interpreted
as samples with support equalling the size of one cell, taken from a
regular grid of grid distance = cell size.
According to which pattern do I have to pick the samples (i.e. which
cells
do I have to chose) in order to get a frequency distribution of
distances
between the centres of the cells (n*(n-1)/2 distances = pairs of cells =
105 in the example) which is as close as possible to uniform, i.e. all
distances occur with about the same probability ?

I tried to solve it numerically, which results in quite strange looking
sampling patterns.

Trying all combinations (r*c over n = 2.53E17 in the example, if I
calculated correctly), is obviously tedious if r,c and n become large.
Are
there any analytical solutions ? Any literature about this ?

Thanks for hints,
Peter


-----------------------------------------------------
Peter Bossew

European Commission (EC)
Joint Research Centre (JRC)
Institute for Environment and Sustainability (IES)

TP 441, Via Fermi 1
21020 Ispra (VA)
ITALY

Tel. +39 0332 78 9109
Fax. +39 0332 78 5466
Email: [EMAIL PROTECTED]

WWW: http://rem.jrc.cec.eu.int

"The views expressed are purely those of the writer and may not in any
circumstances be regarded as stating an official position of the
European
Commission."




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