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RE: [ai-geostats] Interpolation error estimation

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  • Pierre Goovaerts
    Hi, You could try using kriging with non-systematic error where you can directly incorporate information on the reliability of your data in the kriging system.
    Message 1 of 4 , May 11, 2005
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      Hi,

      You could try using kriging with non-systematic error where you can directly incorporate
      information on the reliability of your data in the kriging system. The technique is
      described in Chiles and Delfiner's textbook.

      Pierre

      -----Original Message-----
      From: Jose Luis Gomez Dans [mailto:jgomezdans@...]
      Sent: Wed 5/11/2005 9:37 AM
      To: ai-geostats@...
      Cc:
      Subject: [ai-geostats] Interpolation error estimation




      Hi!
      I am aware that this question could easily become a
      whole book, and a rather thick one at that :), but
      nevermind...

      I have produced an interpolation using regularised
      splines. The point data that goes into the
      interpolation has some measure of error associated to
      it, so to a first approximation, this can be used as
      an error indicator for cells of the interpolated grid
      that contains one such point.

      The problem arises with grid cells that have no real
      data in them, as the error is a function of the error
      of the surrounding points, the distance from the
      surrounding points (the further you are from a sa, the
      larger the error) and the error due to the
      interpolation. I could try and model the error, but
      there's a scale factor due to the surface presenting
      different features at different scales, and it all
      becomes very complicated.

      So my question is, what is the best way to come up
      with a grid that has a reasonable error estimation of
      the interpolated surface, if we know the error of each
      of the samples that went in?

      Many thanks for your time and help,
      José










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