Transition probability-based indicator geostatistics |
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| Authors: | Steven F Carle and Graham E Fogg |
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| Institution: | (1) Hydrologic Science, University of California, 95616 Davis, California;(2) Department of Geology, University of California, 95616 Davis, California |
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| Abstract: | Traditionally, spatial continuity models for indicator variables are developed by empirical curvefitting to the sample indicator (cross-) variogram. However, geologic data may be too sparse to permit a purely empirical approach, particularly in application to the subsurface. Techniques for model synthesis that integrate hard data and conceptual models therefore are needed. Interpretability is crucial. Compared with the indicator (cross-) variogram or indicator (cross-) covariance, the transition probability is more interpretable. Information on proportion, mean length, and juxtapositioning directly relates to the transition probability: asymmetry can be considered. Furthermore, the transition probability elucidates order relation conditions and readily formulates the indicator (co)kriging equations. |
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| Keywords: | cokriging cross-covariance cross-variogram kriging |
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