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Re: AI-GEOSTATS: sparse data problem

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  • Umberto Fracassi
    Hi Gali, may you not try with Radial Basis Function (Multiquadric) instead of kriging? It s meant to be an exact interpolator, although sometimes it doesn t
    Message 1 of 2 , Dec 3, 2003
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      Hi Gali,

      may you not try with Radial Basis Function (Multiquadric) instead of
      kriging? It's meant to be an exact interpolator, although sometimes it
      doesn't fully honor your data. However, it's based on the concept of
      track data which seems to me to suit the issue you mention. I employ RBF
      with macroseismic effects of historical earthquakes. Since these data
      are sparse (and scarce and scattered..!) by definition, this algorithm
      effectively pursues aligned pattern in the dataset.

      Hope this may help...

      Ciao and best regards,


      Umberto

      Gali Sirkis wrote:

      >Dear list members,
      >
      >Please advise what to do in following case:
      > The sparse dataset for kriging inlcudes only few
      >(5-6) original data points + interpolated external
      >data, that covering whole study area.
      >One of the original data points seems completly not to
      >fit to the main correlation line between original and
      >external data, however mostly probable is not an
      >error, but might represent different combination of
      >data properties.
      >Is there is any chance to use this outlying point?
      >Does is sound feasible for you as specialists in
      >statistical analysis to use the kriging method in this
      >case?
      >
      >Many thanks in advance for your help,
      >
      >Gali Sirkis
      >
      >__________________________________
      >
      >
      >

      --


      Umberto Fracassi

      --------------------------------------------------------
      Istituto Nazionale di Geofisica e Vulcanologia
      Via di Vigna Murata, 605
      00143 Roma
      Italy
      Tel: +39-06-51860557
      Fax: +39-06-5041181
      Email: fracassi@...
      WWW: http://www.ingv.it/paleo/fracassi/
      --------------------------------------------------------
      *********************
      "This is what you should do: Love the earth and the sun and the animals, despise riches, give alms to everyone that asks, stand up for the stupid and crazy, devote your income and labor to others, hate tyrants, argue not concerning god, have patience and indulgence toward people, take off your hat to nothing known or unknown, or to anyone or number of people ....reexamine all you have been told at school or church, or in any book, dismiss what insults your soul, and your very flesh shall be a great poem."

      Walt Whitman
      *********************





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    • Gali Sirkis
      Thank you Umberto, this definitely sounds as an interesting solution. Can you advise something to read about this method? thanks again, Gali ...
      Message 2 of 2 , Dec 4, 2003
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        Thank you Umberto,

        this definitely sounds as an interesting solution. Can
        you advise something to read about this method?

        thanks again,

        Gali

        --- Umberto Fracassi <fracassi@...> wrote:
        > Hi Gali,
        >
        > may you not try with Radial Basis Function
        > (Multiquadric) instead of
        > kriging? It's meant to be an exact interpolator,
        > although sometimes it
        > doesn't fully honor your data. However, it's based
        > on the concept of
        > track data which seems to me to suit the issue you
        > mention. I employ RBF
        > with macroseismic effects of historical earthquakes.
        > Since these data
        > are sparse (and scarce and scattered..!) by
        > definition, this algorithm
        > effectively pursues aligned pattern in the dataset.
        >
        > Hope this may help...
        >
        > Ciao and best regards,
        >
        >
        > Umberto
        >
        > Gali Sirkis wrote:
        >
        > >Dear list members,
        > >
        > >Please advise what to do in following case:
        > > The sparse dataset for kriging inlcudes only few
        > >(5-6) original data points + interpolated external
        > >data, that covering whole study area.
        > >One of the original data points seems completly not
        > to
        > >fit to the main correlation line between original
        > and
        > >external data, however mostly probable is not an
        > >error, but might represent different combination of
        > >data properties.
        > >Is there is any chance to use this outlying point?
        > >Does is sound feasible for you as specialists in
        > >statistical analysis to use the kriging method in
        > this
        > >case?
        > >
        > >Many thanks in advance for your help,
        > >
        > >Gali Sirkis
        > >
        > >__________________________________
        > >
        > >
        > >
        >
        > --
        >
        >
        > Umberto Fracassi
        >
        >
        --------------------------------------------------------
        > Istituto Nazionale di Geofisica e Vulcanologia
        > Via di Vigna Murata, 605
        > 00143 Roma
        > Italy
        > Tel: +39-06-51860557
        > Fax: +39-06-5041181
        > Email: fracassi@...
        > WWW: http://www.ingv.it/paleo/fracassi/
        >
        --------------------------------------------------------
        > *********************
        > "This is what you should do: Love the earth and the
        > sun and the animals, despise riches, give alms to
        > everyone that asks, stand up for the stupid and
        > crazy, devote your income and labor to others, hate
        > tyrants, argue not concerning god, have patience and
        > indulgence toward people, take off your hat to
        > nothing known or unknown, or to anyone or number of
        > people ....reexamine all you have been told at
        > school or church, or in any book, dismiss what
        > insults your soul, and your very flesh shall be a
        > great poem."
        >
        > Walt Whitman
        > *********************
        >
        >
        >
        >
        >
        > --
        > * To post a message to the list, send it to
        > ai-geostats@...
        > * As a general service to the users, please remember
        > to post a summary of any useful responses to your
        > questions.
        > * To unsubscribe, send an email to majordomo@...
        > with no subject and "unsubscribe ai-geostats"
        > followed by "end" on the next line in the message
        > body. DO NOT SEND Subscribe/Unsubscribe requests to
        > the list
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