Re: AI-GEOSTATS: Exact interpolant property of kriging
I think that Isobel refers to the implementation of the kriging algorithm in ESRI products where the nugget variability is automatically filtered from the data. Hence, if your variogram has a non-zero nugget effect, the kriged surface won't honor the data at sampled locations. Pierre Pierre Goovaerts Chief Scientist at BioMedware Inc. Courtesy Associate Professor, University of Florida President of PGeostat LLC Office address: 516 North State Street Ann Arbor, MI 48104 Voice: (734) 913-1098 (ext. 8) Fax: (734) 913-2201 New website: http://goovaerts.pierre.googlepages.com/ On 2/19/08, M.J. Abedini <[EMAIL PROTECTED]> wrote: > > > Dear Colleagues > > I thought exact interpolant property of kriging is very applicable to > every case regardless of variogram used. But, Isobel's posting implies it > is not the case. > > Furthermore, IDW of any types honor exact interpolant property. It can be > proved mathematically. > > Thanks > Abedini > > -- Forwarded message -- > Date: Tue, 19 Feb 2008 11:09:44 + (GMT) > From: Isobel Clark <[EMAIL PROTECTED]> > To: Andrea Peruzzi <[EMAIL PROTECTED]>, ai-geostats@jrc.it > Subject: Re: AI-GEOSTATS: kriging or IDW in case study of hydrology? > > Andrea > >In theory kriging will honour the sample values provided your > semi-variogram model takes the value zero at zero distance. > >Whether the data are honoured or not depends on which computer package > you use and what it does with the semi-variogram at zero. You can force this > behaviour by replacing any nugget effect with a short range model component. > For example a spherical component with a range of influence of 10cm or some > such. > >See our completely free and public domain kriging game, for how the > kriging system works. > >By the way, IDW will only honour your sample values if the algorithms > are written with the same criterion. > >Isobel >http://www.kriging.com > > Andrea Peruzzi <[EMAIL PROTECTED]> wrote: >Dear list, > I'm graduate student in hydrogeology, I've to spatialize data of > reservoir thickness, and I need to achieve a map having exactly the > sampled value in the sampled localization (piezometers). I've little > experience in geostatatistics. > I had a look at kriging algorithms, but I did understand that kriging > does not preserve the sampled value at sampled locations but it tends > to smooth results, even if estimates correctly the unsampled space. So > I wonder why should I use Kriging instead IDW (which it should > preserve my sampled values): kriging respects the spatial variability > but do not respect data > As I told you before, I've very small knowledge in geostatistics > stuff, but I'm interesting in kriging. > Could anyone help me? > Thanks a lot, > > Andrea Peruzzi > > PS: I apologize for writing you again but it's the first time I'm > writing you, then I'm not sure how the mailing list works. Thanks :-) > + > + To post a message to the list, send it to ai-geostats@jrc.it > + To unsubscribe, send email to majordomo@ jrc.it with no subject and > "unsubscribe ai-geostats" in the message body. DO NOT SEND > Subscribe/Unsubscribe requests to the list > + As a general service to list users, please remember to post a summary of > any useful responses to your questions. > + Support to the forum can be found at http://www.ai-geostats.org/ > > + > + To post a message to the list, send it to ai-geostats@jrc.it > + To unsubscribe, send email to majordomo@ jrc.it with no subject and > "unsubscribe ai-geostats" in the message body. DO NOT SEND > Subscribe/Unsubscribe requests to the list > + As a general service to list users, please remember to post a summary of > any useful responses to your questions. > + Support to the forum can be found at http://www.ai-geostats.org/ >
AI-GEOSTATS: Exact interpolant property of kriging
Dear Colleagues I thought exact interpolant property of kriging is very applicable to every case regardless of variogram used. But, Isobel's posting implies it is not the case. Furthermore, IDW of any types honor exact interpolant property. It can be proved mathematically. Thanks Abedini -- Forwarded message -- Date: Tue, 19 Feb 2008 11:09:44 + (GMT) From: Isobel Clark <[EMAIL PROTECTED]> To: Andrea Peruzzi <[EMAIL PROTECTED]>, ai-geostats@jrc.it Subject: Re: AI-GEOSTATS: kriging or IDW in case study of hydrology? Andrea In theory kriging will honour the sample values provided your semi-variogram model takes the value zero at zero distance. Whether the data are honoured or not depends on which computer package you use and what it does with the semi-variogram at zero. You can force this behaviour by replacing any nugget effect with a short range model component. For example a spherical component with a range of influence of 10cm or some such. See our completely free and public domain kriging game, for how the kriging system works. By the way, IDW will only honour your sample values if the algorithms are written with the same criterion. Isobel http://www.kriging.com Andrea Peruzzi <[EMAIL PROTECTED]> wrote: Dear list, I'm graduate student in hydrogeology, I've to spatialize data of reservoir thickness, and I need to achieve a map having exactly the sampled value in the sampled localization (piezometers). I've little experience in geostatatistics. I had a look at kriging algorithms, but I did understand that kriging does not preserve the sampled value at sampled locations but it tends to smooth results, even if estimates correctly the unsampled space. So I wonder why should I use Kriging instead IDW (which it should preserve my sampled values): kriging respects the spatial variability but do not respect data As I told you before, I've very small knowledge in geostatistics stuff, but I'm interesting in kriging. Could anyone help me? Thanks a lot, Andrea Peruzzi PS: I apologize for writing you again but it's the first time I'm writing you, then I'm not sure how the mailing list works. Thanks :-) + + To post a message to the list, send it to ai-geostats@jrc.it + To unsubscribe, send email to majordomo@ jrc.it with no subject and "unsubscribe ai-geostats" in the message body. DO NOT SEND Subscribe/Unsubscribe requests to the list + As a general service to list users, please remember to post a summary of any useful responses to your questions. + Support to the forum can be found at http://www.ai-geostats.org/ + + To post a message to the list, send it to ai-geostats@jrc.it + To unsubscribe, send email to majordomo@ jrc.it with no subject and "unsubscribe ai-geostats" in the message body. DO NOT SEND Subscribe/Unsubscribe requests to the list + As a general service to list users, please remember to post a summary of any useful responses to your questions. + Support to the forum can be found at http://www.ai-geostats.org/
Re: AI-GEOSTATS: kriging or IDW in case study of hydrology?
Andrea In theory kriging will honour the sample values provided your semi-variogram model takes the value zero at zero distance. Whether the data are honoured or not depends on which computer package you use and what it does with the semi-variogram at zero. You can force this behaviour by replacing any nugget effect with a short range model component. For example a spherical component with a range of influence of 10cm or some such. See our completely free and public domain kriging game, for how the kriging system works. By the way, IDW will only honour your sample values if the algorithms are written with the same criterion. Isobel http://www.kriging.com Andrea Peruzzi <[EMAIL PROTECTED]> wrote: Dear list, I'm graduate student in hydrogeology, I've to spatialize data of reservoir thickness, and I need to achieve a map having exactly the sampled value in the sampled localization (piezometers). I've little experience in geostatatistics. I had a look at kriging algorithms, but I did understand that kriging does not preserve the sampled value at sampled locations but it tends to smooth results, even if estimates correctly the unsampled space. So I wonder why should I use Kriging instead IDW (which it should preserve my sampled values): kriging respects the spatial variability but do not respect data As I told you before, I've very small knowledge in geostatistics stuff, but I'm interesting in kriging. Could anyone help me? Thanks a lot, Andrea Peruzzi PS: I apologize for writing you again but it's the first time I'm writing you, then I'm not sure how the mailing list works. Thanks :-) + + To post a message to the list, send it to ai-geostats@jrc.it + To unsubscribe, send email to majordomo@ jrc.it with no subject and "unsubscribe ai-geostats" in the message body. DO NOT SEND Subscribe/Unsubscribe requests to the list + As a general service to list users, please remember to post a summary of any useful responses to your questions. + Support to the forum can be found at http://www.ai-geostats.org/
AI-GEOSTATS: kriging or IDW in case study of hydrology?
Dear list, I'm graduate student in hydrogeology, I've to spatialize data of reservoir thickness, and I need to achieve a map having exactly the sampled value in the sampled localization (piezometers). I've little experience in geostatatistics. I had a look at kriging algorithms, but I did understand that kriging does not preserve the sampled value at sampled locations but it tends to smooth results, even if estimates correctly the unsampled space. So I wonder why should I use Kriging instead IDW (which it should preserve my sampled values): kriging respects the spatial variability but do not respect data As I told you before, I've very small knowledge in geostatistics stuff, but I'm interesting in kriging. Could anyone help me? Thanks a lot, Andrea Peruzzi PS: I apologize for writing you again but it's the first time I'm writing you, then I'm not sure how the mailing list works. Thanks :-) + + To post a message to the list, send it to ai-geostats@jrc.it + To unsubscribe, send email to majordomo@ jrc.it with no subject and "unsubscribe ai-geostats" in the message body. DO NOT SEND Subscribe/Unsubscribe requests to the list + As a general service to list users, please remember to post a summary of any useful responses to your questions. + Support to the forum can be found at http://www.ai-geostats.org/
