Universal scaling behaviors of meteorological variables' volatility and relations with original records

Physica A: Statistical Mechanics and its Applications

Volumn 391, Issue 20, 2012, Pages 4953-4962

  Lu, Feiyu ^a   Yuan, Naiming ^a   Fu, Zuntao ^a   Mao, Jiangyu ^b  

^a PEKING UNIVERSITY   (China)

^b INSTITUTE OF ATMOSPHERIC PHYSICS   (China)

Author keywords

DFA; Nonlinearity; Volatility

Indexed keywords

PHYSICS;

DETRENDED FLUCTUATION ANALYSIS; LONG RANGE CORRELATIONS; METEOROLOGICAL VARIABLES; NONLINEARITY; SCALING EXPONENT; STANDARD DEVIATION; UNIVERSAL SCALING; VOLATILITY;

SCALING LAWS;

EID: 84863446451     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2012.05.031     Document Type: Article

References (50)

1. E. Koscielny-Bunde, A. Bunde, S. Havlin, H.E. Roman, Y. Goldreich, and H. Schellnhuber Indication of a universal persistence law governing atmospheric variability Phys. Rev. Lett. 81 1998 729
2. B.D. Malamud, and D.L. Turcotte Self-affine time series: I. Generation and analyses Adv. Geophys. 40 1999 1
3. S. Lennartz, and A. Bunde Distribution of natural trends in long-term correlated records: a scaling approach Phys. Rev. E. 84 2011 021129
4. C.K. Peng, S.V. Buldyrev, S. Havlin, M. Simons, H.E. Stanley, and A.L. Goldberger Mosaic organization of DNA nucleotides Phys. Rev. E 49 1994 1685 1689
5. 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 Phys. Rev. Lett. 85 2000 3736
6. 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 295 2001 441 454 (Pubitemid 32495759)
7. A. Arneodo, E. Bacry, P.V. Graves, and J.F. Muzy Characterizing long-range correlations in DNA sequences from wavelet analysis Phys. Rev. Lett. 74 1995 3293
8. E. Alessio, A. Carbone, G. Gastelli, and V. Frappietro Second-order moving average and scaling of stochastic time series Eur. Phys. J. B 27 2002 197 200 (Pubitemid 135695353)
9. A. Carbone, G. Castelli, and H.E. Stanley Analysis of clusters formed by the moving average of a long-range correlated time series Phys. Rev. E 69 2004 026105
10. A. Carbone, G. Castelli, and H.E. Stanley Time-dependent Hurst exponent in financial time series Physica A 344 2004 267 271
11. S.V. Buldyrev, A.L. Goldberger, S. Havlin, R.N. Mantegna, M.E. Matsa, C.K. Peng, M. Simons, and H.E. Stanley Long-range correlation-properties of coding and noncoding DNA-sequences - genbank analysis Phys. Rev. E 51 1995 5084 5091
12. C.K. Peng, S. Havlin, H.E. Stanley, and A.L. Goldberger Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time-series Chaos 5 1995 82 87
13. Y.H. Liu, P. Cizeau, M. Meyer, C.K. Peng, and H.E. Stanley Correlations in economic time series Physica A 245 1997 437 440 (Pubitemid 127396406)
14. P. Talkner, and R.O. Weber Power spectrum and detrended fluctuation analysis: application to daily temperatures Phys. Rev. E 62 2000 150 160
15. K. Fraedrich, and R. Blender Sfcaling of atmosphere and ocean temperature correlations in observations and climate models Phys. Rev. E. 90 2003 108501
16. J.F. Eichner, E. Koscielny-Bunde, A. Bunde, S. Havlin, and H.-J. Schellnhuber Power-law persistence and trends in the atmosphere: a detailed study of long temperature records Phys. Rev. E 68 2003 046133
17. R. Monetti, S. Havlin, and A. Bunde Long-term persistence in the sea surface temperature fluctuations Physica A 320 2003 581 589
18. B. Podobnik, P.C. Ivanov, V. Jazbinsek, Z. Tronteij, H.E. Stanley, and I. Grosse Power-law correlated processes with asymmetric distributions Phys. Rev. E 71 2005 025104
19. D. Rybski, A. Bunde, S. Havlin, and H. von Storch Long-term persistence in climate and the detection problem Geophys. Res. Lett. 33 2006 L06718
20. Xi Chen, Guangxing Lin, and Zuntao Fu Long-range correlations in daily relative humidity fluctuations: a new index to characterize the climate regions over China Geophys. Res. Lett. 34 2007 L07804
21. D. Rybski, A. Bunde, and H. von storch Long-term memory in 1000-year simulated temperature records J. Geophys. Res. 113 2008 D02106
22. S. Lennartz, and A. Bunde Trend evaluation in records with long-term memory: application to global wariming Geophys. Res. Lett. 36 2009 L16706
23. N.M. Yuan, Z.T. Fu, and J.Y. Mao Different scaling behaviors in daily temperature records over China Physica A 389 2010 4087 4095
24. E. Koscielny-Bunde, A. Bunde, S. Havlin, and Y. Goldreich Analysis of daily temperature fluctuations Physica A 231 1996 393 396 (Pubitemid 126385650)
25. A. Kiraly, I. Bartos, and I.M. Janosi Correlation properties of daily temperature anomalies over land Tellus A 58A 2006 593 600 (Pubitemid 44383468)
26. G. Vattay, and A. Harnos Scaling behavior in daily air humidity fluctuations Phys. Rev. Lett. 73 1994 768 771 (Pubitemid 24976320)
27. Guangxing Lin, Xi Chen, and Zuntao Fu Temporal-spatial diversities of long-range correlation for relative humidity over China Physica A 383 2007 585
28. B. Podobnik, P.C. Ivanov, K. Biljakovic, D. Horvatic, H.E. Stanley, and I. Grosse Fractionally integrated process with power-law correlations in variables and magnitudes Phys. Rev. E 72 2005 026121
29. 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 316 2002 87 114 (Pubitemid 35385237)
30. Guangxing Lin, and Zuntao Fu A universal model to characterize different multi-fractal behaviors of daily temperature records over China Physica A 387 2008 573 579 (Pubitemid 350166137)
31. B. Podobnik, and H.E. Stanley Detrended cross-correlation analysis: a new method for analyzing two nonstationary time series Phys. Rev. Lett. 100 2008 084102
32. W.-X. Zhou Multifractal detrended cross-correlation analysis for two nonstationary signals Phys. Rev. E 77 2008 066211
33. B. Podobnik, D. Horvatic, A.M Petersen, and H.E. Stanley Cross-correlations between volume change and price change PNAS 106 2009 22079
34. B. Podobnik, I. Grosse, D. Horvatic, S. Ilic, P.Ch. Ivanov, and H.E. Stanley Quantifying cross-correlations using local and global detrending approaches Eur. Phys. J. B. 71 2009 243
35. D. Horvatic, H.E. Stanley, and B. Podobnik Detrended cross-correlation analysis for non-stationary time series with periodic trends Europhys. Lett. 94 2011 18007
36. Y. Ashkenazy, P.Ch. Ivanov, S. Havlin, C.K. Peng, A.L. Goldberger, and H.E. Stanley Magnitude and sign correlations in heartbeat fluctuations Phys. Rev. Lett. 86 2001 1900 1903 (Pubitemid 32252805)
37. Y. Ashkenazy, S. Havlin, P.Ch. Ivanov, C.K. Peng, V. Schulte-Frohlinde, and H.E. Stanley Magnitude and sign scaling in power-law correlated time series Physica A 323 2003 19 41
38. Y. Ashkenazy, D.R. Baker, H. Gildor, and S. Havlin Nonlinearity and multifractality of climate change in the past 420, 000 years Geophys. Res. Lett. 30 2003 2146
39. R.N. Mantegna, and H.E. Stanley Scaling behavior in the dynamics of an economic index Nature 376 1995 46 49
40. T. Kalisky, Y. Ashkenazy, and S. Havlin Volatility of linear and nonlinear time series Phys. Rev. E 72 2005 011913
41. R.B. Govindana, A. Bunde, and S. Havlin Volatility in atmospheric temperature variability Physica A 318 2003 529 536
42. I. Bartos, and I.M. Jnosi Nonlinear correlations of daily temperature records over land Nonlinear Process. Geophys. 13 2006 571 576 (Pubitemid 44600394)
43. G. Wang, A.J. Dolman, R. Blender, and K. Fraedrich Fluctuation regimes of soil moisture in ERA-40 re-analysis data Theor. Appl. Climatol. 99 2010 1 8
44. K. Hu, P.Ch. Ivanov, Z. Chen, P. Carpena, and H.E. Stanley Effect of trends on detrended fluctuation analysis Phys. Rev. E 64 2001 011114
45. B. Podobnik, D. Horvatic, A.L. Ng, H.E. Stanley, and P.Ch. Ivanov Modeling long-range cross-correlations in two-component ARFIMA and FIARCH processes Physica A 387 2008 3954 3959
46. T. Schreiber, and A. Schmitz Surrogate time series Physica D 142 2000 346 382
47. T.W. Anderson, and D.A. Darling Asymptotic theory of certain "goodness-of-fit" criteria based on stochastic processes Ann. Math. Stat. 23 1952 193 212
48. M.A. Stephens EDF statistics for goodness of fit and some comparisons J. Amer. Statist. Assoc. 69 1974 730 737
49. D. Rybski, and A. Bunde On the detection of trends in long-term correlated records Physica A 388 2009 1687
50. H.A. makse, S. Havlin, M. Schwartz, and H.E. Stanley Method for generating long-range correlations for large systems Phys. Rev. E. 53 1996 5445