Acta Geologica Hungarica
Volume/Issue:
Volume 47: Issue 1
Uncertainty investigation of the semivariogram by means of the bootstrap method
Author:
Zoltán F. Sebestyén Institute of Mathematics and Computer Science,Faculty of Engineering, Szent István University, Gödöll? H-2100 Gödöllő, Páter Károly u. 1, Hungary

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Pages:
83–91
Online Publication Date:
22 Jul 2005
Publication Date:
01 Jun 2004
Article Category:
Research Article
DOI:
https://doi.org/10.1556/ageol.47.2004.1.7
Keywords:
standard error; standard error; confidence interval; empirical semivariogram; range of influence; two-sample hypothesis test
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The uncertainty in the semivariogram has hardly been investigated in previous geostatistical studies. This paper presents an efficient methodology of uncertainty assessment based on the bootstrap. By applying this computer-intensive statistical method one can easily simulate the distribution of the empirical semivariogram estimate for each lag. The lag-wise standard errors and confidence intervals of a given level can then be easily calculated from the bootstrap replicates. These estimations are valid in any situation when classical statistics fail. The bootstrap also provides a mathematical-statistical tool to decide whether the semivariogram reaches its maximum at a given lag or not. It leads directly to a simple determination of the range of influence. Effects beyond the range, such as the hole effect, can be explored with the same approach. The empirical semivariogram, supplied by measures of uncertainty, adequately describes the true spatial behavior of the studied variable. This universal method renders the customary theoretical semivariogram models obsolete.

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Cover Acta Geologica Hungarica
Acta Geologica Hungarica
Print ISSN:
0236-5278
Online ISSN:
1588-2594

Acta Geologica Hungarica
Language English
Size  
Year of
Foundation		 1952
Publication
Programme		 changed title
Volumes
per Year		  
Issues
per Year		  
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5278 (Print)
ISSN 1588-2594 (Online)

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