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Two Markov Models and Their Application

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Abstract

Two different Markov models for cross-covariance and coregionalization modeling are proposed and compared in cokriging and stochastic simulation modes. The newly introduced Markov model 2 performs better in cases where the secondary data are defined on a larger support volume than the primary variable being estimated or simulated. Incorrect adoption of the more traditional Markov model 1 may result in cokriging estimated maps that are artificially too close to the secondary data map and in simulated realizations with too high nugget effect.

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Shmaryan, L.E., Journel, A.G. Two Markov Models and Their Application. Mathematical Geology 31, 965–988 (1999). https://doi.org/10.1023/A:1007505130226

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  • DOI: https://doi.org/10.1023/A:1007505130226

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