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Re: GEOSTATS: spherical structure function

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  • Pierre Goovaerts
    Hello, It is not clear what you mean by spherical topography. The spherical covariance function with range A is actually the covariance of a random function
    Message 1 of 2 , Feb 9, 1999
      Hello,

      It is not clear what you mean by spherical topography.
      The spherical covariance function with range A is actually
      the covariance of a random function Z(u) defined as follows:
      - consider a 3-D space with points u_i scattered randomly
      - the value of Z at any location u is the number of
      points contained in a sphere of radius A centered
      on u.
      In other words, the spherical covariance C(h) corresponds to the
      volume of the intersection of 2 spheres of equal size whose
      centers are separated by a vector h.
      More details are available in the book by H. Wackernagel
      (Multivariate geostatistics, 2nd edition, p.57-59).

      Cheers,

      Pierre
      <><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><><>

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      On Tue, 9 Feb 1999, Ude Shankar wrote:

      > Is there a mathematical basis for the so-called spherical structure
      > function model ?
      > e.g. is this variogram one would get if the topography used to
      > construct the variogram was perfectly spherical?
      > Thanks,
      > Graeme.
      >
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