Multifractal analysis of temperature time series: Data from boreholes in Kamchatka

Fractals

Volumn 13, Issue 4, 2005, Pages 299-310

  Bodri, Louise ^a   Cermak, Vladimir ^b  

^a EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^b GEOPHYSICAL INSTITUTE   (Czech Republic)

Author keywords

Borehole; Multifractal Analysis; Recurrence Plot; Spectrum; Temperature Log

Indexed keywords

BOREHOLES; DATA ACQUISITION; FRACTALS; HEAT TRANSFER;

MULTIFRACTAL ANALYSIS; RECURRENCE PLOT; SPECTRUM; TEMPERATURE LOG;

TIME SERIES ANALYSIS;

EID: 27744586003     PISSN: 0218348X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218348X05002957     Document Type: Article

References (16)

1. M. Yamano, T. Nagao and T. Sweda (eds.), Geothermal/Dendrochronological Paleodimate. Reconstruction Across Eastern Margin of Euroasia, Proceedings 2002 International Matsuyarna Workshop, Ehirne University, Matsuyarna, Japan, pp. 204.
2. V. Cermak, J. Safanda, M. Yamano, T. Nagao, M. Taniguchi, Y. Okubo, A. Miyakoshi, E. Gordeev and L. Bodri, Climate change in Kamchatka, evidence from the underground, in Geothehrmal/Dendrochronological Paleoclimate. Reconstruction Across Eastern Margin of Eurasia, eds. M. Yamano, T. Nagao and T. Sweda, Proceedings 2002 International Matsuyarna Workshop, Ehime University, Matsuyarna, Japan, pp. 100-109.
3. L. Bodri and P. Dövenyi, Climate change of the last 2000 years inferred from borehole temperatures: data from Hungary, Global Planet Change. 41 (2004) 121-133.
4. L. Bodri, V. Cermak and M. Yamano, Multifractal Analysis of Temperature, Time Series Measured in Two Boreholes in Kamchatka, EGS-AGU-EUG Joint Assembly, Nice, France, April 2003, Abstract Volume, EAE03-A-02130, pp. 1310.
5. J.-P. Eckrnann, S. Kamphorst and D. Ruelle, Recurrence plots of dynamical systems, Europhys. Lett. 4 (1987) 973-977.
6. L. L. Yrulla, A. Giuliani, J. P. Zbilut and C. L. Webber, Jr., Recurrence quantification analysis of the logistic equation with transients, Phys. Lett. A 223 (1996) 255-260.
7. M. C. Casdagli, Recurrence plots revisited, Physica D 108 (1997) 12 44.
8. N. Marwari, M. Thiel and N. R. Nowaczyk, Cross recurrence plot based synchronization of time series, Nonlin. Process. Geophys. 9 (2002) 325-331.
9. J. S. Iwanski and E. Bradley, Recurrence plots of experimental data: to embed or not to embed?, Chaos 8 (1998) 861-871.
10. H. M. Hastings and G. Sugihara, Fractals: A User's Guide for the Natural Sciences (Oxford University Press, Oxford, 1995), pp. 235.
11. A. Davis, A. Marshak, W. Wiscombe and R. Calahan, Multifractal characterizations of non-stationarity and intermittence in geophysical fields: observed, retrieved or simulated, J. Geophys. Res. 99 (1994) 8055-8072.
12. S. Lovejoy and D. Schertzer, How bright is the coast of Brittany?, in Fractals in Geoscience and Remote Sensing. Image Understanding Research, Vol. 1, eds. G. Wilkinson, I. Kanellopoulos and J. Mégier, Proceedings of Joint JRC/EARSeL Expert Meeting, Ispra, Italy, April 1994, ECSC-EC-EAEC, Brussels, Chap. 5, pp. 102-151.
13. S. Lovejoy, D. Schertzer and P. Silas, Diffusion in one-dimensional multifractal porous media, Water Resour. Res. 34 (1998) 3283-3291.
14. 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.
15. 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.
16. J. W. Kantelhardt, S. A. Zschiegner, E. Koscielny-Bunde, S. Havlin, A. Bunde and H. E. Stanley, Multifractal detrended fluctuation analysis of non-stationary time series, Physica A 316 (2002) 87-114.