About this Journal Submit a Manuscript Table of Contents
Advances in Meteorology
Volume 2013 (2013), Article ID 341934, 8 pages
http://dx.doi.org/10.1155/2013/341934
Research Article

Different Multifractal Scaling of the 0 cm Average Ground Surface Temperature of Four Representative Weather Stations over China

1State Key Laboratory of Remote Sensing Science, Institute of Remote Sensing and Digital Earth, Chinese Academy of Sciences, Beijing 100101, China
2University of Chinese Academy of Sciences, Beijing 100049, China
3Laboratory of Ocean Circulation and Waves, Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China

Received 13 September 2013; Revised 12 December 2013; Accepted 12 December 2013

Academic Editor: Qi Hu

Copyright © 2013 Lei Jiang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. C.-K. Peng, S. V. Buldyrev, S. Havlin, M. Simons, H. E. Stanley, and A. L. Goldberger, “Mosaic organization of DNA nucleotides,” Physical Review E, vol. 49, no. 2, pp. 1685–1689, 1994. View at Publisher · View at Google Scholar · View at Scopus
  2. A. Bunde, S. Havlin, J. W. Kantelhardt, T. Penzel, J.-H. Peter, and K. Voigt, “Correlated and uncorrelated regions in heart-rate fluctuations during sleep,” Physical Review Letters, vol. 85, no. 17, pp. 3736–3739, 2000. View at Publisher · View at Google Scholar · View at Scopus
  3. P. Talkner and R. O. Weber, “Power spectrum and detrended fluctuation analysis: application to daily temperatures,” Physical Review E, vol. 62, pp. 150–160, 2000. View at Publisher · View at Google Scholar · View at Scopus
  4. R. O. Weber and P. Talkner, “Spectra and correlations of climate data from days to decades,” Journal of Geophysical Research D, vol. 106, no. 17, pp. 20131–20144, 2001. View at Scopus
  5. E. Koscielny-Bunde, A. Bunde, S. Havlin, H. E. Roman, Y. Goldreich, and H.-J. Schellnhuber, “Indication of a universal persistence law governing atmospheric variability,” Physical Review Letters, vol. 81, no. 3, pp. 729–732, 1998. View at Scopus
  6. K. Fraedrich and R. Blender, “Scaling of atmosphere and ocean temperature correlations in observations and climate models,” Physical Review Letters, vol. 90, no. 10, Article ID 108501, 2003. View at Scopus
  7. J. W. Kantelhardt, E. Koscielny-Bunde, H. H. A. Rego, S. Havlin, and A. Bunde, “Detecting long-range correlations with detrended fluctuation analysis,” Physica A, vol. 295, no. 3-4, pp. 441–454, 2001. View at Publisher · View at Google Scholar · View at Scopus
  8. K. Hu, P. C. Ivanov, Z. Chen, P. Carpena, and H. E. Stanley, “Effect of trends on detrended fluctuation analysis,” Physical Review E, vol. 64, no. 1, Article ID 011114, 2001. View at Scopus
  9. Z. Chen, P. C. Ivanov, K. Hu, and H. E. Stanley, “Effect of nonstationarities on detrended fluctuation analysis,” Physical Review E, vol. 65, no. 4, Article ID 041107, 2002. View at Publisher · View at Google Scholar · View at Scopus
  10. R. B. Govindan, D. Vyushin, A. Bunde, S. Brenner, S. Havlin, and H. J. Schellnhuber, “Global climate models violate scaling of the observed atmospheric variability,” Physical Review Letters, vol. 89, no. 2, Article ID 028501, 4 pages, 2002. View at Publisher · View at Google Scholar
  11. A. Bunde and S. Havlin, “Power-law persistence in the atmosphere and in the oceans,” Physica A, vol. 314, no. 1–4, pp. 15–24, 2002. View at Publisher · View at Google Scholar · View at Scopus
  12. M. L. Kurnaz, “Application of detrended fluctuation analysis to monthly average of the maximum daily temperatures to resolve different climates,” Fractals, vol. 12, no. 4, pp. 365–373, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. A. Király and I. M. Jánosi, “Detrended fluctuation analysis of daily temperature records: geographic dependence over Australia,” Meteorology and Atmospheric Physics, vol. 88, pp. 119–129, 2005.
  14. X. Chen, G. Lin, and Z. Fu, “Long-range correlations in daily relative humidity fluctuations: a new index to characterize the climate regions over China,” Geophysical Research Letters, vol. 34, no. 7, Article ID L07804, 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. R. B. Govixdan and H. Kantz, “Long-term correlations and multifractality in surface wind speed,” Europhysics Letters, vol. 68, no. 2, pp. 184–190, 2004. View at Publisher · View at Google Scholar · View at Scopus
  16. C. Varotsos, “Power-law correlations in column ozone over Antarctica,” International Journal of Remote Sensing, vol. 26, no. 16, pp. 3333–3342, 2005. View at Publisher · View at Google Scholar · View at Scopus
  17. C. Varotsos, J. Ondov, and M. Efstathiou, “Scaling properties of air pollution in Athens, Greece and Baltimore, Maryland,” Atmospheric Environment, vol. 39, no. 22, pp. 4041–4047, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. D. Maraun, H. W. Rust, and J. Timmer, “Tempting long-memory—on the interpretation of DFA results,” Nonlinear Processes in Geophysics, vol. 11, no. 4, pp. 495–503, 2004. View at Scopus
  19. C. A. Varotsos, M. N. Efstathiou, and A. P. Cracknell, “On the scaling effect in global surface air temperature anomalies,” Atmospheric Chemistry and Physics, vol. 13, pp. 5243–5253, 2013.
  20. A. Arneodo, E. Bacry, and J. F. Muzy, “The thermodynamics of fractals revisited with wavelets,” Physica A, vol. 213, no. 1-2, pp. 232–275, 1995. View at Scopus
  21. H. E. Stanley, L. A. N. Amaral, A. L. Goldberger, S. Havlin, P. C. Ivanov, and C.-K. Peng, “Statistical physics and physiology: monofractal and multifractal approaches,” Physica A, vol. 270, no. 1, pp. 309–324, 1999. View at Publisher · View at Google Scholar · View at Scopus
  22. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde, and H. E. Stanley, “Multifractal detrended fluctuation analysis of nonstationary time series,” Physica A, vol. 316, no. 1–4, pp. 87–114, 2002. View at Publisher · View at Google Scholar · View at Scopus
  23. K. Matia, Y. Ashkenazy, and H. E. Stanley, “Multifractal properties of price fluctuations of stocks and commodities,” Europhysics Letters, vol. 61, no. 3, pp. 422–428, 2003. View at Publisher · View at Google Scholar · View at Scopus
  24. R. G. Kavasseri and R. Nagarajan, “A multifractal description of wind speed records,” Chaos, Solitons & Fractals, vol. 24, no. 1, pp. 165–173, 2005. View at Publisher · View at Google Scholar · View at Scopus
  25. N. K. Vitanov and E. D. Yankulova, “Multifractal analysis of the long-range correlations in the cardiac dynamics of Drosophila melanogaster,” Chaos, Solitons & Fractals, vol. 28, no. 3, pp. 768–775, 2006. View at Publisher · View at Google Scholar · View at Scopus
  26. T. Feng, Z. Fu, X. Deng, and J. Mao, “A brief description to different multi-fractal behaviors of daily wind speed records over China,” Physics Letters A, vol. 373, no. 45, pp. 4134–4141, 2009. View at Publisher · View at Google Scholar · View at Scopus
  27. G. Lin, X. Chen, and Z. Fu, “Temporal-spatial diversities of long-range correlation for relative humidity over China,” Physica A, vol. 383, no. 2, pp. 585–594, 2007. View at Publisher · View at Google Scholar · View at Scopus
  28. N. Yuan, Z. Fu, and J. Mao, “Different scaling behaviors in daily temperature records over China,” Physica A, vol. 389, no. 19, pp. 4087–4095, 2010. View at Publisher · View at Google Scholar · View at Scopus
  29. L. Jiang, N. Yuan, Z. Fu, D. Wang, X. Zhao, and X. Zhu, “Subarea characteristics of the long-range correlations and the index χ for daily temperature records over China,” Theoretical and Applied Climatology, vol. 109, no. 1-2, pp. 261–270, 2012. View at Publisher · View at Google Scholar · View at Scopus
  30. G. Lin and Z. Fu, “A universal model to characterize different multi-fractal behaviors of daily temperature records over China,” Physica A, vol. 387, no. 2-3, pp. 573–579, 2008. View at Publisher · View at Google Scholar · View at Scopus
  31. N. Yuan, Z. Fu, and J. Mao, “Different multi-fractal behaviors of diurnal temperature range over the north and the south of China,” Theoretical and Applied Climatology, vol. 112, pp. 673–682, 2013.
  32. C. Varotsos, M. Efstathiou, and C. Tzanis, “Scaling behaviour of the global tropopause,” Atmospheric Chemistry and Physics, vol. 9, no. 2, pp. 677–683, 2009. View at Scopus
  33. J. Feder, Fractals, Plenum Press, New York, NY, USA, 1988.
  34. A. Bunde and S. Havlin, Fractals in Science, Springer, Heidelberg, Germany, 1995.
  35. P. Zhai and X. Pan, “Trends in temperature extremes during 1951–1999 in China,” Geophysical Research Letters, vol. 30, no. 17, pp. 9–4, 2003. View at Scopus
  36. P. Zhai, X. Zhang, H. Wan, and X. Pan, “Trends in total precipitation and frequency of daily precipitation extremes over China,” Journal of Climate, vol. 18, no. 7, pp. 1096–1108, 2005. View at Publisher · View at Google Scholar · View at Scopus
  37. X. Zou, P. Zhai, and Q. Zhang, “Variations in droughts over China, 1951–2003,” Geophysical Research Letters, vol. 32, Article ID L04707, 2005.