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Stochastic Modeling of Spatiotemporal Distributions: Application to Sulphate Deposition Trends Over Europe

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geoENV II — Geostatistics for Environmental Applications

Part of the book series: Quantitative Geology and Geostatistics ((QGAG,volume 10))

Abstract

A joint spatiotemporal modeling approach, which capitalizes on the typically better informed time domain, is presented. The spatiotemporal process is modeled as a joint realization of a collection of spatially correlated time series. Temporal trends of known shape or period are modeled via deterministic functions of time, which are modulated by space-dependent coefficients. These coefficients are then regionalized in space, accounting for their cross-correlation. The proposed algorithm is applied for modeling the spatiotemporal trends of monthly averaged concentration values of sulphate deposition over Europe. The available data were recorded at the European Monitoring and Evaluation Program (EMEP) network and span a period of 9 years from January 1980 to December 1988. Stochastic simulation is performed for modeling joint space-time uncertainty regarding trend levels of sulphate concentration over Europe for that time period.

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References

  • Bennett, R. J. (1979), Spatial Time Series: Analysis-Forecasting-Control, Pion, London.

    MATH  Google Scholar 

  • Bilonick, R. A. (1985), ‘The space-time distribution of sulfate deposition in the northeastern United States’, Atmospheric Environment 19(11), 1829–1845.

    Article  Google Scholar 

  • Boubel, R. W., Fox, D. L., Turner, D. B. and Stern, A. C. (1994), Fundamentals of Air Pollution, Academic Press, San Diego. 3rd edition.

    Google Scholar 

  • Christakos, G. (1992), Random Field Models in Earth Sciences, Academic Press, San Diego, CA.

    Google Scholar 

  • Deutsch, C. V. and Journel, A. G. (1998), GSLIB: Geostatistical Software Library and User’s Guide, 2nd edn, Oxford University Press, New York.

    Google Scholar 

  • Goovaerts, P. (1997), Geostatistics for Natural Resources Evaluation, Oxford University Press, New York.

    Google Scholar 

  • Goovaerts, P. and Sonnet, P. (1993), Study of spatial and temporal variations of hydro-geochemical variables using factorial kriging analysis, in A. Soares, ed., ‘Geostatistics Tróia ′92’, Vol. 2, Kluwer, Dordrecht, The Netherlands, pp. 745–756.

    Chapter  Google Scholar 

  • Høst, G., Omre, H. and Switzer, P. (1995), ‘Spatial interpolation errors for monitoring data’, Journal of the American Statistical Association 90(431), 853–861.

    MathSciNet  Google Scholar 

  • Kyriakidis, P. C. (1999), Stochastic Modeling of Spatiotemporal Distributions, PhD thesis, Stanford University, Stanford, CA.

    Google Scholar 

  • Kyriakidis, P. C. and Journel, A. G. (1999), ‘Geostatistical space-time models: A review’, Mathematical Geology. in press.

    Google Scholar 

  • Oehlert, G. W. (1993), ‘Regional trends in sulfate wet deposition’, Journal of the American Statistical Association 88(422), 390–399.

    Article  Google Scholar 

  • Papritz, A. and Flühler, H. (1994), ‘Temporal change of spatially autocorrelated soil properties: Optimal estimation by cokriging’, Geoderma 62, 29–43.

    Article  Google Scholar 

  • Rouhani, S. and Myers, D. E. (1990), ‘Problems in space-time kriging of geohydrological data’, Mathematical Geology 22(5), 611–623.

    Article  Google Scholar 

  • Rouhani, S. and Wackernagel, H. (1990), ‘Multivariate geostatistical approach to space-time data analysis’, Water Resources Research 26 (4), 585–591.

    Article  Google Scholar 

  • Schaug, J., Hanssen, J. E., Nodop, K., Ottar, B. and Pacyna, J. M. (1987), Summary report for the chemical co-ordinating centre for the third phase of EMEP, Technical Report EMEP-CCC-Report 3/87, Norwegian Institute for Air Research.

    Google Scholar 

  • Searle, S. R. (1971), Linear Models, John Wiley & Sons, New York.

    MATH  Google Scholar 

  • Wackernagel, H. (1995), Multivariate Geostatistics, Springer-Verlag, Berlin.

    Book  MATH  Google Scholar 

  • Wikle, C., Berliner, L. M. and Cressie, N. (1998), ‘Hierarchical Bayesian space-time models’, Environmental and Ecological Statistics 5. in press.

    Google Scholar 

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© 1999 Springer Science+Business Media Dordrecht

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Kyriakidis, P.C., Journel, A.G. (1999). Stochastic Modeling of Spatiotemporal Distributions: Application to Sulphate Deposition Trends Over Europe. In: Gómez-Hernández, J., Soares, A., Froidevaux, R. (eds) geoENV II — Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9297-0_8

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  • DOI: https://doi.org/10.1007/978-94-015-9297-0_8

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5249-0

  • Online ISBN: 978-94-015-9297-0

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