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|Title:||VARIOG2D: a computer program for estimating the semi-variogram and its uncertainty|
|Citation:||Computers & Geosciences, 2001; 27(5):549-561|
|Publisher:||Pergamon-Elsevier Science Ltd|
|Eulogio Pardo-Igúzquiza and Peter A. Dowd|
|Abstract:||VARIOG2D is a Fortran-77 program that provides four basic operations for semi-variogram analysis: inference of the experimental semi-variogram, estimation of the variance–covariance matrix of the experimental semi-variogram, fitting a theoretical model by non-linear generalised least squares and estimation of the uncertainty of the semi-variogram model parameters. Although software for estimating the semi-variogram by the method of moments is widely available, there is no generally available software for assessing the uncertainty of the experimental semi-variogram. VARIOG2D provides the exact variance–covariance matrix of the experimental semi-variogram, which can be used for attaching standard errors to the experimental semi-variogram, for assessing the correlation between the different semi-variogram lag estimates and for fitting a model by generalised least squares. In addition, the generalised least-squares fitting procedure allows an evaluation of the uncertainty of the experimental semi-variogram and of the semi-variogram model parameters. A case study shows the application of the variance–covariance matrix of the experimental semi-variogram and the performance and capabilities of the program.|
|Keywords:||Geostatistics; Variance–covariance matrix; Standard error; Generalised least squares; Soil science|
|Description:||Copyright © 2001 Published by Elsevier Science|
|Appears in Collections:||Civil and Environmental Engineering publications|
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