Pierre,

Thanks for the comments. It's my first time to use Gaussian simulation to do
something possibly useful, and I have also found the calculation quite slow
even though the speed of my computer is not so bad. I'm using Idrisi 32
(with GStat), and the grid is about 500*500.

What I worry about is that how useful these realizations are? Obviously they
are not "realistic" even though some people say they want to produce a more
realistic map, instead of the smoothed Kriging map. Another concern is that
the probability map produced based on these realisations may not be so good
as the PCLASS (available in Idrisi), as PCLASS may have a better probability
background or clearer assumption. In PCLASS, the square root (not sure
yet???) of Kriging variances can be used as the RMS (root mean square) or
standard deviation of the pixel corresponding to the Kriging map, and the
probability > a threshold can be calculated based on the normal assumption.

More comments and suggestions will give me more confidence in doing the risk
assessment (heavy metal pollution in soils of a mine area).

Cheers,

Chaosheng


----- Original Message -----
From: "Pierre Goovaerts" <[EMAIL PROTECTED]>
To: "Chaosheng Zhang" <[EMAIL PROTECTED]>
Cc: <[EMAIL PROTECTED]>; "Dave McGrath" <[EMAIL PROTECTED]>
Sent: Saturday, April 27, 2002 4:53 PM
Subject: Re: AI-GEOSTATS: Risk Assessment with Gaussian Simulation?


> Hello,
>
> In the past few years stochastic simulation has
> been increasingly used to produce probability maps.
> To my opinion it's generally a waste of CPU time since
> similar information can be retrieved using kriging,
> either in a multiGaussian framework or applied to
> indicator transforms.
> The issue of when using simulation vs kriging
> is further discussed in:
> Goovaerts, P. 2001.
> Geostatistical modelling of uncertainty in soil science.
> Geoderma, 103: 3-26.
>
> I take this opportunity to thank Gregoire
> for a remarkable and often challenging job
> of keeping this e-mail list alive through the years.
>
> Pierre
>
<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>
<><>
>
>   ________      ________
>  |        \    /        |    Pierre Goovaerts
>  |_        \  /        _|    Assistant professor
>  __|________\/________|__    Dept of Civil & Environmental Engineering
> |                        |   The University of Michigan
> |     M I C H I G A N    |   EWRE Building, Room 117
> |________________________|   Ann Arbor, Michigan, 48109-2125, U.S.A
>   _|    |_\    /_|    |_
>  |        |\  /|        |    E-mail:  [EMAIL PROTECTED]
>  |________| \/ |________|    Phone:   (734) 936-0141
>                              Fax:     (734) 763-2275
>
http://www-personal.engin.umich.edu/~goovaert/
>
>
<><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>
<><>
>
>
> On Sat, 27 Apr 2002, Chaosheng Zhang wrote:
>
> > Dear list,
> >
> > First, I would like to say thank you to Gregoire for keeping this list
alive.
> >
> > I'm trying to do "risk assessment", and I have some questions about risk
assessment with Gaussian Simulation:
> >
> > (1) How to produce a probability map?
> >
> > With Gaussian simulation, we can produce many maps/realisations, e.g.,
100. Based on the 100 maps, a probability map of higher than a threshold can
be produced. I wonder how to produce such a probability map? My
understanding is that for each pixel, we just count how many values out of
the 100 are >threshold, and the number is regarded as the "probability". Am
I right? It seems that this is a time consuming procedure with GIS map
algebra. Are there any suggestions for a quick calculation?
> >
> > (2) Is a probability map better than a Kriging interpolated map for the
purpose of risk assessment?
> >
> > (3) Is "PCLASS" function in IDRISI 32 Release 2 better/easier than the
probability map from Gaussian simulation?
> >
> > >From the online help of IDRISI 32 R2, Section "Kriging and Simulation
Notes", it says "If the final goal of simulated surfaces will be to directly
reclassify the surfaces by a threshold value, and calculate a probability of
occurrence for a process based on that threshold, conditional simulation may
be unnecessary. Instead kriging and variance images may be created and then
used together with PCLASS." Any comments?
> >
> > (4) How to carry out "PCLASS"?
> >
> > Following the above question, I have a problem in doing PCLASS. I cannot
input the file name of Kriging variance to the field of "Value error" of the
documentation file. It seems that this field only accepts a "value", not an
"image file name" or anything in text. Anyone has the experience?
> >
> > Cheers,
> >
> > Chaosheng Zhang
> > =================================================
> > Dr. Chaosheng Zhang
> > Lecturer in GIS
> > Department of Geography
> > National University of Ireland
> > Galway
> > IRELAND
> >
> > Tel: +353-91-524411 ext. 2375
> > Fax: +353-91-525700
> > Email: [EMAIL PROTECTED]
> >        [EMAIL PROTECTED]
> > Web: http://www.nuigalway.ie/geography/zhang.html
> > =================================================
> >
> >
>
>


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