Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Spatial interpolation of dry deposition using EOF models
PDF (Español (España))

Keywords

EOF models
environmental monitoring
interpolation techniques
spatio- temporal data analysis
similarity matrix
modelos EOF
control o monitoreo del ambiente
técnicas de interpolación
análisis de datos espacio temporales
matriz de similitudes

How to Cite

Muñoz Hernández, B. (2000). Spatial interpolation of dry deposition using EOF models. Revista De Matemática: Teoría Y Aplicaciones, 7(1-2), 153–164. https://doi.org/10.15517/rmta.v7i1-2.187

Abstract

Random processes are monitored over space and time by a network of stations distributed across a spatial region. Auxiliary information is often gathered not only at the stations but at other points across the region. The incorporation of auxiliary information in some interpolation techniques has show improvement on the interpolation results. The Empirical Orthogonal Functions (EOF) model is a well-known eigenvector based prediction technique widely used in meteorology and oceanography for modeling the variability of the observed spatio-temporal random process. Similarity matrices are constructed using available auxiliary information and included in the EOF model to develop a spatial interpolation method. The resulting interpolation technique will be applied to real data set and the results compared to ordinary kriging.

https://doi.org/10.15517/rmta.v7i1-2.187
PDF (Español (España))

References

Bobrowiz, O.; Choulet, C.; Haurat, A.; Sandoz, F.; Tebaa, M. (1990) A method to build membership functions. Application to numerical/symbolic interface building, Lecture Notes in Computer Science, 521. Springer-Verlag, New York: 136–142.

Buell, C. E. (1971) “Integral equation representation for Factor Analysis”, Journal of Atmospheric Sciences 28: 1502–1505.

Clarke, J. F.; Edgerton, E. S.; Martin, B. E. (1997) “Dry deposition calculations for the clean air status and trends network”, Atmospheric Environment 21: 3667–3678.

Cressie, N.A.C. (1991) Statistics for Spatial Data. John Wiley & Sons, New York. Daly, C.; Neilson, R.P.; Phillips, D.L. (1994) “A statistical-topographic model for mapping climatological precipitation over mountainous terrain”, Journal of Applied Meteorology 33: 140–158.

Dubois, D.; Prade, H. (1980) Fuzzy Sets and Systems, Theory and Applications. Mathematics in Science and Engineering, 144, Academic Press, New York.

Duckstein, L.; Blinowska, A.; Verroust, G. (1995) “Fuzzy classification of patient state with application to electrodiagnosis of peripheral polyneuropathy”, IEEE Transactions on Biomedical Engineering 42(8): 786–792.

Erickson, R.; Di Lorenzo, P.M.; Woodbury, M.A. (1994) “Classification of the taste responses in brain stem: membership in fuzzy sets”, The American Physiological Society: 2139–2150

Everitt, B.S. (1993) Cluster Analysis, 3rd Edition. Edward Arnold, London. Fang, J.H. (1997) “Fuzzy logic and geology mathematical modeling in geological systems”, Geotimes 42(10): 23–26.

Gower, J.C. (1971) “A general coefficient of similarity and some of its properties”, Biometrics 27: 857–874.

Guerra, T.M.; Loslever, P. (1993) “Two ways for getting connections between objective and subjective data sets in man-machine systems: multiple correspondence factor analysis and probabilistic fuzzy set theory”, Cybernetics and Systems: An International Journal 24: 217–242.

Hendricks, F.; van Eijnsbergen, A.C.; Stein, A. (1997) “Use of spatial prediction techniques and fuzzy classification mapping soil pollutants”, Geoderma 77: 243–262.

Hersh, H.M.; Caramazza, A. (1976) A fuzzy set approach to modifiers and vagueness in natural language”, Journal of Experimental Psychology: General 105(3): 254–276.

Hewitt, C.N. (1992) Methods of Environmental Data Analysis. Elsevier, Dordrecht.

Holland, D.M.; Principe, P.P.; Vorgurger, L. (1999) “Rural ozone: trends and exceedances at CASTnet sites”, Environmental Science and Technology 33: 43–48.

Juang, C.H.; Huang, X. H.; Holtz, R.D.; Chen, J. W. (1996) “Determining relative density of sands from CPT using fuzzy sets”, Journal of Geotechnical Engineering, January: 1-6.

Legendre L.; Legendre P. (1983) Numerical Ecology, Developments in Environmental Modelling 3. Elsevier, Dordrecht.

Legge, H. A.; Krupa, S.V. (1990) Acidic Deposition: Sulphur and Nitrogen Oxides. Lewis Publishers

Leung, Y. (1988) “Spatial analysis and planning under imprecision”, Studies in Regional Science and Urban Economics 14: 66–139.

Muñoz-Hernández, Breda; Lesser, V.M.; Ramsey, F.L. (1999) “Design based empirical orthogonal functions”, Proceedings of the Section of Statistics and the Environment, American Statistical Association.

Obled, Ch.; Creutin, J.D. (1986) “Some development in the use of empirical orthogonal functions for mapping meteorological fields”, Journal of Climate and Applied Meteorology 23(9): 1189–1204.

Okabe, A.; Boots, B.; Sugihara, K. (1992) Spatial Tessellations. Concepts and Applications of Voronoi Diagrams. John Wiley & Sons., New York.

Pleim, J.E.; Finkelstein, P.L.; Clarke, J.F.; Ellestad, T.G. (s.f.) “A technique for estimating dry deposition velocities based on similarities with latent heat flux”, Atmospheric Environment 33: 2257–2268.

Preisendorfer, R.W. (1988) “Principal component analysis in meteorology and oceanography”, Developments in Atmospheric Science 17: 192–199.

Robeson, S.M. (1997) “Spherical methods for spatial interpolation”, Review and Evaluation, Cartography and Geographic Information Systems 24(1): 3–20.

Watson, D.F.; Philip, G.M. (1987) “Neighborhood-Based Interpolation”, Geobyte 2(2): 12–16.

Wikle, C.K. (1996) Spatio-Temporal Statistical Models with Applications to Atmospheric

Processes. Ph.D. dissertation, Iowa State University, Ames, Iowa.

Wikle, C.K.; Cressie, N. (1997) “A dimension-reduction approach to space-time Kalman filtering”, Preprint No.97-2, Statistical Laboratory, ISU, Iowa State University, Iowa.

Willmott, C. J.; Robeson, S. (1995) “Climatological aided interpolation (CAI) of terrestrial air temperatures”, International Journal of Climatology 15 221–229.

Willmott, C. J.; Matsuura, K. (1995) “Sart Interpolation of annually averaged air temperature in the United States”, Journal of Applied Meteorology 34: 2577–2586.

Wirsam, B.; Uthus, E. O. (1996) “The use of fuzzy logic in nutrition”, American Institute of Nutrition: 2337S–2341S.

Comments

Downloads

Download data is not yet available.