A simulation comparison of ordinary kriging with indicator kriging

Document Type : Original Scientific Paper

Author

Department of Statistics‎, ‎Faculty of Mathematical Sciences‎, ‎Alzahra University‎, ‎Tehran‎, ‎Iran

Abstract

Spatial data analysis methods have many applications in various fields‎, ‎such as agriculture‎, ‎mining engineering‎, ‎and meteorology‎. ‎In this study‎, ‎ordinary kriging and indicator kriging are considered to predict alumina grade in the Jajarm mine in Iran‎, ‎and the precision of the methods is computed‎. ‎A conditional simulation is carried out based on the data set for a more general comparison of ordinary and indicator kriging to interpolate Alumina grade in the mine‎. ‎In the case of monitoring possible variation related to sample size and type of variogram model‎, ‎simulations are performed with various sample sizes and different types of variogram models‎. ‎Then ordinary and indicator kriging methods are applied for every set of simulated data (concerning different sample sizes and types of variogram models)‎, ‎and root of standardized mean square error prediction is considered as a cross-validation criterion to compare the kriging methods‎. ‎The simulation results show that under the assumptions‎, ‎ordinary kriging has better performance than the indicator kriging method.

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References

Burgess, T.M. and Webster, R. (1980). Optimal interpolation and isarithmic mapping of soil properties: I The semi-variogram and punctual kriging. Journal of Soil Sciences, 31(2):315–331.
Calder, C.A., Cressie, N. and Rob, K. (2009). Kriging and variogram models. International Encyclopedia of Human Geography, 49–55.
Cressie, N. (1993). Statistics for Spatial Data. New York: John Wiley & Sons.
DeMarsily, S. and Ahmed, G. (1987). Application of kriging techniques in groundwater hydrology. Journal of Geology Society of India, 29(1):57–82.
Hohn, M. (1998). Geostatistics and Petroleum Geology. Springer Science & Business Media.
Krige, D.G. (1951). A statistical approach to some basic mine problems on the Witwatersrand. Journal of the Chemical, Metallurgical and Mining Society of South Africa, 52:119–139.
Krige, D.G. (1966). Two-dimensional weighted moving average trend surfaces for ore evaluation. Journal of Africa Institute Mine Metal, 66:13–38.
Matheron, G. (1963). Principles of geostatistics. Economic Geology, 58(8):1246–1266.
Munyati, C. and Sinthumule, N.I. (2021). Comparative suitability of ordinary kriging and inverse distance weighted interpolation for indicating intactness gradients on threatened savannah woodland and forest stands. Environmental and Sustainability Indicators, 12:100151.
Oliver, M.A. and Webster, R. (1987). The elucidation of soil pattern in the Wyre Forest of the West Midlands, England. II. Spatial distribution. Journal of Soil Sciences, 38(2):293–307.
Webster, R. and Oliver, M.A. (2007). Geostatistics for Environmental Scientists. New York: John Wiley & Sons.
Journal of Statistical Modelling: Theory and Applications
Volume 4, Issue 1
January 2023
Pages 137-146

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History

  • Receive Date: 29 July 2023
  • Revise Date: 28 December 2023
  • Accept Date: 09 April 2024

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