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This article in SSSAJ

  1. Vol. 51 No. 1, p. 268-269
    Received: Dec 23, 1985

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Analytical Solution for Punctual Kriging in one Dimension1

  1. Parichehr Hemyari and
  2. D. L. Nofziger2



The solution to the system of equations required for punctual kriging in one dimension was determined analytically for a linear semivariogram. The solution indicates that kriging in this situation is identical to linear interpolation between the two closest neighbors. The kriged values are independent of the coefficients in the linear semivariogram model. The estimation variance is linearly dependent upon the coefficients in the model. Although no analytical solution was obtained for the spherical and exponential semivariance models, kriged values for these models were found to be essentially the linearly interpolated values. These results provide insight into the behavior of the kriging estimator. They can be used to save substantial numerical computation and to guide the user in selecting the neighborhood of points used in one-dimensional kriging.

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