NDLI: Using Simultaneous Diagonalization to Identify a Space

Content Provider	Springer Nature Link
Author	Iaco, S. Myers, D. E. Palma, M. Posa, D.
Copyright Year	2012
Abstract	Although there are multiple methods for modeling matrix covariance functions and matrix variograms in the geostatistical literature, the linear coregionalization model is still widely used. In particular it is easy to check to ensure whether the matrix covariance function is positive definite or that the matrix variogram is conditionally negative definite. One of the difficulties in using a linear coregionalization model is in determining the number of basic structures and the corresponding covariance functions or variograms. In this paper, a new procedure is given for identifying the basic structures of the space–time linear coregionalization model and modeling the matrix variogram. This procedure is based on the near simultaneous diagonalization of the sample matrix variograms computed for a set of spatiotemporal lags. A case study using a multivariate spatiotemporal data set provided by the Environmental Protection Agency of Lombardy, Italy, illustrates how nearly simultaneous diagonalization of the empirical matrix variograms simplifies modeling of the matrix variograms. The new methodology is compared with a previous one by analyzing various indices and statistics.
Starting Page	69
Ending Page	86
Page Count	18
File Format	PDF
ISSN	18748961
Journal	Mathematical Geosciences
Volume Number	45
Issue Number	1
e-ISSN	18748953
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-06-06
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Space–time linear coregionalization model Near simultaneous diagonalization Space–time matrix covariance functions Space–time matrix variograms Earth Sciences Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences Geotechnical Engineering & Applied Earth Sciences Hydrogeology
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Mathematics

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