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Determination of the dynamical behavior of rainfalls by using a multifractal detrended fluctuation analysis

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Abstract

We study the dynamical behavior of rainfalls in the complicated area of the Korean peninsula. Data for stations having no automatic weather system are simulated from those of ten stations with automatic weather stations via the ordinary kriging interpolation method. Using a multifractal detrended fluctuation analysis, we analyze all the stations from time series data for rainfalls. We are able to find forty high-ranked stations having no automatic weather system from the multifractal strength. In particular, our result may be useful and effective in determining the locations of new automatic weather stations and establishing the meteorological apparatus.

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References

  1. C.-K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley and A. L. Goldberger, Phys. Rev. E 49, 1685 (1994); E. Koscielny-Bunde, A. Bunde, S. Havlin, H. E. Roman, Y. Goldreich and H.-J. Schellnhuber, Phys. Rev. Lett. 81, 729 (1998).

    Article  ADS  Google Scholar 

  2. J. L. McCauley, Phys. Rep. 189, 225 (1990); B. B. Mandelbrot, J. Fluid Mech. 62, 331 (1974); R. Liu, T. D. Matteo and T. Lux, Fractals 11, 699 (2008).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. G. Lim, S.-Y. Kim, H. Lee, K. Kim and D.-I. Lee, Physica A 386, 259 (2007).

    Article  ADS  Google Scholar 

  4. M. Gallegati, A. Palestrini and M. Petrini, Fractals 11, 119 (2008).

    MATH  Google Scholar 

  5. S. M. Debbal and F. Bereksi-Reguig, Fractals 19, 331 (2007).

    Google Scholar 

  6. A.-L. Barabasi and R. Albert, Science 286, 509 (1999).

    Article  MathSciNet  ADS  Google Scholar 

  7. K.-I. Goh, E. Oh, H. Jeong, B. Kahng and D. Kim, Proc. Nat. Acad. Sci. U.S.A. 99, 12583 (2002).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. C. Song, S. Havlin and H. A. Makse, Nature 433, 392 (2005).

    Article  ADS  Google Scholar 

  9. S. Abe and N. Suzuki, Nonlinear Proc. Geoph. 13, 145 (2006).

    Article  ADS  Google Scholar 

  10. D.-H. Kim and H. Jeong, Phys. Rev. E 72, 046133 (2005).

    Article  MathSciNet  ADS  Google Scholar 

  11. S.-H. Yook, J. Korean Phys. Soc. 56, 990 (2010).

    Article  ADS  Google Scholar 

  12. J. Kong, J. Korean Phys. Soc. 55, 2248 (2009).

    Article  ADS  Google Scholar 

  13. W. H. Baek, G. Lim, K. Kim, Y.-J. Choi, K.-H. Chang, J.-W. Jung, M. Yi, D.-I. Lee and D.-H. Ha, Physica A 391, 2279 (2012).

    Article  ADS  Google Scholar 

  14. K.-S. Choi, D.-W. Kim and H.-R. Byun, Asia-Pac. J. Atmos. Sci. 45, 21 (2009).

    Google Scholar 

  15. D. I. Lee, C.-H. You, J.-W. Jung, K.-H. Chang and K. Kim, J. Korean Phys. Soc. 57, 296 (2010).

    Article  Google Scholar 

  16. M.-S. Koo, S.-Y. Hong and J. Kim, Asia-Pac. J. Atmos. Sci. 45, 265 (2009).

    Google Scholar 

  17. S. A. Jung, J. H. Jung, D. I. Lee, J. W. Jung, K. H. Chang, D. H. Ha, S. Y. Kim and K. Kim, J. Korean Phys. Soc. 56, 1877 (2010).

    Article  Google Scholar 

  18. E.-K. Seo, Asia-Pac. J. Atmos. Sci. 45, 265 (2009).

    Google Scholar 

  19. W. S. Jung, D.-I. Lee, Y.-J. Choi, K.-H. Chang, J.-W. Jung, S.-K. Seo, M. Yi and K. Kim, J. Korean Phys. Soc. 60, 566 (2012).

    Article  ADS  Google Scholar 

  20. P. Grassberger and I. Procaccia, Physica D 13, 34 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. G. Parasi and U. Frisch, in Proceedings of the International School on Turbulence and Predictability in Geophysical Fluid Dynamics and Climate Dynamics, edited by P. Huerre and P. Coullet (Plenum, New York, 1988).

    Google Scholar 

  22. T. Vicsek, Fractal Growth Phenomena (World Scientific, Singapore, 1988).

    Google Scholar 

  23. G. Paladin and A. Vulpiani, Phys. Rep. 156, 147 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  24. J. F. Muzy, E. Bacry and A. Arneodo, Phys. Rev. Lett. 67, 3515 (1991).

    Article  ADS  Google Scholar 

  25. K. Hu, P. Ch. Ivanov, Z. Chen, P. Carpena and H. E. Stanley, Phys. Rev. E 64, 011114 (2001).

    Article  ADS  Google Scholar 

  26. Y. Tessier, S. Lovejoy, P. Hubert, D. Schertzer and S. Pecknold, J. Geophys. Res. 101, 427 (1996).

    Article  Google Scholar 

  27. Y. Tessier, S. Lovejoy and D. Schertzer, J. Appl. Meteorol. 32, 223 (1993).

    Article  ADS  Google Scholar 

  28. Z.-Q. Jiang and W.-X. Zhou, Physica A 387, 3605 (1984); 387, 4881 (2008).

    Article  MathSciNet  ADS  Google Scholar 

  29. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny- Bunde, S. Havlin, A. Bunde and H. E. Stanley, Physica A 316, 87 (2002).

    Article  ADS  MATH  Google Scholar 

  30. P. Talkner and R. O. Weber, Phys. Rev. E 62, 150 (2000).

    Article  ADS  Google Scholar 

  31. K. Ivanova, M. Ausloos, E. E. Clothiaux and T. P. Ackerman, Europhys. Lett. 52, 40 (2000).

    Article  ADS  Google Scholar 

  32. C.-Y. Lang, Kriging Interpolation, Department of Computer Science, Cornell University, 1995.

  33. P. Goovaerts, G. AvRuskin, J. Meliker, M. Slotnick, G. Jacquez and J. Nriagu, Water Resour. Res. 41, W07013 (2005).

    Article  Google Scholar 

  34. G. C. Simbahan, A. Dobermann, P. Goovaerts, J. Ping and M. L. Haddix, Geoderma 132, 471 (2006).

    Article  Google Scholar 

  35. S. Benbachir and M. E. Alaoui, International Research Journal of Finance and Economics 78, 6 (2011).

    Google Scholar 

  36. G. Lim, S. Y. Kim, H. Lee, K. Kim and D. I. Lee, Physica A 386, 259 (2007).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Pukyong National University, Busan, 608-737, Korea

    Seong Kyu Seo & Kyungsik Kim

  2. Hydrometeorological Resources Research Team, Meteorological Research Institute, Seoul, 156-720, Korea

    Ki-Ho Chang & Young-Jean Choi

  3. Meteorological Industry Promotion Research Department, Korea Meteorological Industry Pomotion Aency, Seoul, 110-101, Korea

    Keunyong Song

  4. School of Environmental Sciences Engineering, Inje University, Gimhae, 621-749, Korea

    Jong-Kil Park

Authors
  1. Seong Kyu Seo
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  2. Kyungsik Kim
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  3. Ki-Ho Chang
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  4. Young-Jean Choi
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  5. Keunyong Song
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  6. Jong-Kil Park
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Correspondence to Kyungsik Kim.

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Seo, S.K., Kim, K., Chang, KH. et al. Determination of the dynamical behavior of rainfalls by using a multifractal detrended fluctuation analysis. Journal of the Korean Physical Society 61, 658–661 (2012). https://doi.org/10.3938/jkps.61.658

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  • DOI: https://doi.org/10.3938/jkps.61.658

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