Abstract
In this paper we describe an exploratory technique based on the diagonalization of cross-variogram matrices. Our aim is to describe the behavior of a multivariate set of spatial data in a dimensionally reduced space in such a way that the information on the spatial variation is preserved. Furthermore we propose a definition for the range of «variograms» in the multivariate case. Simulation studies and an application to botanical data collected on line transects are reported.
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References
Borgman, L.E., Frahme, R.B., (1976). A case study: multivariate properties of bentonite in northeastern Wyoming. In Advanced Geostatistics in the mining industry. M. Guarascio eds., D.Reidel, Dordrecht-Holland, 351–390.
Capobianchi, A. (1998). The Analysis of Multivariate Spatial Data PhD thesis (in italian). University of Rome «La Sapienza»
Christakos, G. (1992) Random Field Models in Earth Sciences Academic Press.
Cressie, N. (1991). Statistics for Spatial Data Wiley.
Davis, B.M., Greenes, K.A., (1983). Estimation Using Spatially Distributed Multivariate Data: An Example with Coal Quality. Mathematical Geology 15, N. 2. 287–300.
Di Bella, G., Jona Lasinio, G., (1996). Including Spatial Contiguity Information in the Analysis of Multispecific Patterns. Environmental and Ecological Statistics 3 269–280.
Journel,A.G., Huijbregts, Ch.J. (1978). Mining Geostatistics. Academic Press, London.
Matheron, G., (1973). The Intrinsic Random Functions and their Applications. Advances in Applied Probability 5, 439–468.
Tailiang Xie, Myers D.E., (1995a) Fitting Matrix Valued Models by Simultaneous Diagonalization (Part I: Theory) Mathematical Geology 27, N. 7, 867–875.
Tailiang Xie, Myers D.E., (1995b) Fitting Matrix Valued Models by Simultaneous Diagonalization (Part II: Application) Mathematical Geology 27, N. 7, 877–888.
Wackernagel, H. (1995) Multivariate Geostatistics Springer Verlag.
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Capobianchi, A., Jona-Lasinio, G. (1999). Exploring Multivariate Spatial Data: Line Transect Data. In: Vichi, M., Opitz, O. (eds) Classification and Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60126-2_27
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DOI: https://doi.org/10.1007/978-3-642-60126-2_27
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