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AI-GEOSTATS: spectral analysis and kriging analysis

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  • ollier
    Hi, Kriging Analysis allow us to decompose the stationary Random Functions into a sum of N uncorrelated stationary Random Functions associated with the
    Message 1 of 2 , Apr 8 9:16 AM
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      Hi,

      Kriging Analysis allow us to decompose the stationary Random Functions into
      a sum of N uncorrelated stationary Random Functions associated with the
      different basic variogram functions. Sandjivy and Galli (1984) have
      demonstrated, in the case of two components, the equivalence between
      kriging analysis with a unique neighbourhood and spectral analysis for a
      stationnary univariate RF.

      - Is there such a relation in the multivariate case between the
      multivariate spectral analysis and the factorial kriging analysis?
      - What could motivate the use of the spectral analysis instead of kriging
      analysis?
      - Is there a software (on windows platform) which assure the kriging of
      spatial components in both univariate and multivariate cases?

      Thanks for your help.

      --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
      Sébastien OLLIER
      Laboratoire de biométrie et biologie évolutive
      UMR 5558
      Bâtiment 741 - 711
      43, boulevard du 11 novembre 1918
      69622 VILLEURBANNE Cedex
      Tel: (33) (0)4 72 43 29 35
      Fax : (33) (0)4 78 89 27 19
      ollier@...-lyon1.fr
      -------------------------------------------------------------------------------------------------------------------------------------------



      [Non-text portions of this message have been removed]
    • Pierre Goovaerts
      Sebastian, A public-domain fortran code for multivariate factorial kriging has been published recently in Computers and Geosciences. Please check
      Message 2 of 2 , Apr 8 1:34 PM
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        Sebastian,

        A public-domain fortran code for multivariate factorial kriging
        has been published recently in Computers and Geosciences.
        Please check
        http://portal.acm.org/citation.cfm?id=607447&coll=portal&dl=ACM.

        A potential limitation of factorial kriging analysis is the
        assumption that the contribution of each spatial component
        to the total variance is constant in space (i.e. stationarity),
        although for example we might expect the proportion of noise
        to vary across the study area (e.g. for some satellite imagery).
        An approach such as wavelet analysis is then an interesting option,
        see work by R.M. Lark for example the summary paper published in this
        issue of Pedometron
        http://www-personal.engin.umich.edu/~goovaert/PEDO/pedometron11.pdf

        Cheers,

        Pierre Goovaerts
        <><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

        Dr. Pierre Goovaerts
        President of PGeostat, LLC
        Chief Scientist with Biomedware Inc.
        710 Ridgemont Lane
        Ann Arbor, Michigan, 48103-1535, U.S.A.

        E-mail: goovaert@...
        Phone: (734) 668-9900
        Fax: (734) 668-7788
        http://alumni.engin.umich.edu/~goovaert/

        <><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

        On Tue, 8 Apr 2003, ollier wrote:

        > Hi,
        >
        > Kriging Analysis allow us to decompose the stationary Random Functions into
        > a sum of N uncorrelated stationary Random Functions associated with the
        > different basic variogram functions. Sandjivy and Galli (1984) have
        > demonstrated, in the case of two components, the equivalence between
        > kriging analysis with a unique neighbourhood and spectral analysis for a
        > stationnary univariate RF.
        >
        > - Is there such a relation in the multivariate case between the
        > multivariate spectral analysis and the factorial kriging analysis?
        > - What could motivate the use of the spectral analysis instead of kriging
        > analysis?
        > - Is there a software (on windows platform) which assure the kriging of
        > spatial components in both univariate and multivariate cases?
        >
        > Thanks for your help.
        >
        > --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
        > Sébastien OLLIER
        > Laboratoire de biométrie et biologie évolutive
        > UMR 5558
        > Bâtiment 741 - 711
        > 43, boulevard du 11 novembre 1918
        > 69622 VILLEURBANNE Cedex
        > Tel: (33) (0)4 72 43 29 35
        > Fax : (33) (0)4 78 89 27 19
        > ollier@...-lyon1.fr
        > -------------------------------------------------------------------------------------------------------------------------------------------
        >
        >


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