Predicting \(\text {PM}_{10}\) Concentrations Using Fuzzy Kriging

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9121)

Abstract

The prediction of meteorological phenomena is usually based on the creation of surface from point sources using the certain type of interpolation algorithms. The prediction standardly does not incorporate any kind of uncertainty, either in the calculation itself or its results. The selection of the interpolation method, as well as its parameters depend on the user and his experiences. That does not mean the problem necessarily. However, in the case of the spatial distribution modelling of potentially dangerous air pollutants, the inappropriately selected parameters and model may cause inaccuracies in the results and their evaluation. In this contribution, we propose the prediction using fuzzy kriging that allows incorporating the experts knowledge. We combined previously presented approaches with optimization probabilistic metaheuristic method simulated annealing. The application of this approach in the real situation is presented on the prediction of PM10 particles in the air in the Czech Republic.

Keywords

Fuzzy surface Fuzzy kriging \(\text {PM}_{10}\) Uncertainty 

Notes

Acknowledgement

The authors gratefully acknowledge the support by the Operational Program Education for Competitiveness - European Social Fund (project CZ.1.07/2.3.00/20.0170 of the Ministry of Education, Youth and Sports of the Czech Republic).

We would like to thank also to the Czech Hydrometeorological Institute for providing the up-to-date as well as summary data on their websites.

References

  1. 1.
    Bardossy, A., Bogardi, I., Kelly, W.E.: Imprecise (fuzzy) information in geostatistics. Math. Geol. 20(4), 287–311 (1988)CrossRefMATHMathSciNetGoogle Scholar
  2. 2.
    Bardossy, A., Bogardi, I., Kelly, W.E.: Kriging with imprecise (fuzzy) variograms. I: theory. Math. Geol. 22(1), 63–79 (1990)CrossRefMATHMathSciNetGoogle Scholar
  3. 3.
    Beelen, R., Hoek, G., Pebesma, E., Vienneau, D., de Hoogh, K., Briggs, D.J.: Mapping of background air pollution at a fine spatial scale across the European Union. Sci. Total Environ. 407(6), 1852–1867 (2009)CrossRefGoogle Scholar
  4. 4.
    Caha, J., Dvorský, J.: Querying on fuzzy surfaces with vague queries. In: Pan, J.-S., Polycarpou, M.M., Woźniak, M., de Carvalho, A.C.P.L.F., Quintián, H., Corchado, E. (eds.) HAIS 2013. LNCS, vol. 8073, pp. 548–557. Springer, Heidelberg (2013) CrossRefGoogle Scholar
  5. 5.
    Champendal, A., Kanevski, M., Huguenot, P.-E.: Air pollution mapping using nonlinear land use regression models. In: Murgante, B., Misra, S., Rocha, A.M.A.C., Torre, C., Rocha, J.G., Falcão, M.I., Taniar, D., Apduhan, B.O., Gervasi, O. (eds.) ICCSA 2014, Part III. LNCS, vol. 8581, pp. 682–690. Springer, Heidelberg (2014) CrossRefGoogle Scholar
  6. 6.
    Cressie, N.A.C.: Statistics for Spatial Data. John Wiley & Sons Inc, New York (1991)MATHGoogle Scholar
  7. 7.
    Denby, B., Schaap, M., Segers, A., Builtjes, P., Horálek, J.: Comparison of two data assimilation methods for assessing PM10 exceedances on the European scale. Atmos. Environ. 42(30), 7122–7134 (2008)CrossRefGoogle Scholar
  8. 8.
    Diamond, P.: Fuzzy kriging. Fuzzy Sets Syst. 33(3), 315–332 (1989)CrossRefMATHMathSciNetGoogle Scholar
  9. 9.
    Dubois, D., Prade, H.: Ranking fuzzy numbers in the setting of possibility theory. Inf. Sci. 30(3), 183–224 (1983)CrossRefMATHMathSciNetGoogle Scholar
  10. 10.
    Fisher, P., Caha, J.: On use of fuzzy surfaces to detect possible elevation change. In: Stewart, K., Pebesma, E., Navratil, G., Fogliaroni, P., Duckham, M. (eds.) Extended Abstract Proceedings of the GIScience 2014, Department of Geodesy and Geoinformation, Vienna University of Technology, Vienna, Austria, pp. 215–220 (2014)Google Scholar
  11. 11.
    Goovaerts, P.: Geostatistics for Natural Resources Evaluation. Oxford University Press, New York (1997)Google Scholar
  12. 12.
    Gulliver, J., de Hoogh, K., Fecht, D., Vienneau, D., Briggs, D.: Comparative assessment of GIS-based methods and metrics for estimating long-term exposures to air pollution. Atmos. Environ. 45(39), 7072–7080 (2011)CrossRefGoogle Scholar
  13. 13.
    Guo, D., Guo, R., Thiart, C.: Predicting air pollution using fuzzy membership grade kriging. Comput. Environ. Urban Syst. 31(1), 33–51 (2007)CrossRefGoogle Scholar
  14. 14.
    Hanss, M.: The transformation method for the simulation and analysis of systems with uncertain parameters. Fuzzy Sets Syst. 130(3), 277–289 (2002)CrossRefMATHMathSciNetGoogle Scholar
  15. 15.
    Hengl, T., Heuvelink, G., Stein, A.: A generic framework for spatial prediction of soil variables based on regression-kriging. Geoderma 120(1–2), 75–93 (2004)CrossRefGoogle Scholar
  16. 16.
    Ishibuchi, H., Nii, M.: Fuzzy regression using asymmetric fuzzy coefficients and fuzzified neural networks. Fuzzy Sets Syst. 119(2), 273–290 (2001)CrossRefMATHMathSciNetGoogle Scholar
  17. 17.
    Loquin, K., Dubois, D.: Kriging and epistemic uncertainty: a critical discussion. In: Jeansoulin, R., Papini, O., Prade, H., Schockaert, S. (eds.) Methods for Handling Imperfect Spatial Information. STUDFUZZ, vol. 256, pp. 269–305. Springer, Heidelberg (2010) CrossRefGoogle Scholar
  18. 18.
    Loquin, K., Dubois, D.: Kriging with Ill-Known Variogram and Data. In: Deshpande, A., Hunter, A. (eds.) SUM 2010. LNCS, vol. 6379, pp. 219–235. Springer, Heidelberg (2010) CrossRefGoogle Scholar
  19. 19.
    Loquin, K., Dubois, D.: A fuzzy interval analysis approach to kriging with ill-known variogram and data. Soft Comput. 16(5), 769–784 (2012)CrossRefGoogle Scholar
  20. 20.
    Raaschou-Nielsen, O., et al.: Air pollution and lung cancer incidence in 17 European cohorts: prospective analyses from the European study of cohorts for air pollution effects (ESCAPE). Lancet Oncol. 14(9), 813–822 (2013)CrossRefGoogle Scholar
  21. 21.
    Robert, S., Foresti, L., Kanevski, M.: Spatial prediction of monthly wind speeds in complex terrain with adaptive general regression neural networks. Int. J. Climatol. 33(7), 1793–1804 (2013)CrossRefGoogle Scholar
  22. 22.
    Shad, R., Mesgari, M.S., Abkar, A., Shad, A.: Predicting air pollution using fuzzy genetic linear membership kriging in GIS. Comput. Environ. Urban Syst. 33(6), 472–481 (2009)CrossRefGoogle Scholar
  23. 23.
    Stein, A., Verma, M.: Handling spatial data uncertainty using a fuzzy geostatistical approach for modelling methane emissions at the island of java. In: Fisher, P.F. (ed.) Developments in Spatial Data Handling, pp. 173–187. Springer, Heidelberg (2005) CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Institute of Geoinformatics, VSB-Technical University of OstravaOstrava-PorubaCzech Republic
  2. 2.Department of Geoinformatics, Faculty of SciencePalacký University in OlomoucOlomoucCzech Republic
  3. 3.Department of Computer ScienceVSB-Technical University of OstravaOstrava-PorubaCzech Republic

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