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Geostatistics pp 113-141 | Cite as

Autocorrelation Functions in Geology

  • F. P. Agterberg
Chapter
Part of the Computer Applications in the Earth Sciences book series

Abstract

By using a method originally developed by P. Whittle, it is shown that a continuous random variable in three-dimensional space has an exponential autocorrelation function if it is subject to a property analogous to the Markov property in time-series analysis.

The problem of estimating autocorrelation functions from irregularly distributed map data is discussed. Approximate autocorrelation functions are shown for a set of 200 subsurface elevations on top of the Arbuckle Group (Cambrian-Ordovician) in Kansas. Trend-surface analysis, a method of kriging and a combination of the two procedures also are applied to the data. Areal interpolation can be done by a method that consists of three steps: (1) fitting a low-order polynomial trend surface; (2) estimation of the autocorrelation function for the residuals; (3) application of kriging to the residuals.

Keywords

Control Point Autocorrelation Function Spectral Density Function Autocorrelation Coefficient Continuous Random Variable 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1970

Authors and Affiliations

  • F. P. Agterberg
    • 1
  1. 1.Geological Survey of CanadaCanada

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