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Long-range dependence in tree-ring width time series of Austrocedrus Chilensis revealed by means of the detrended fluctuation analysis

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  • Telesca, Luciano
  • Lovallo, Michele

Abstract

By using the detrended fluctuation analysis and detrended moving average method, 823 time series of tree-ring widths in Austrocedrus Chilensis in Patagonia were analyzed. The tree-ring widths of A. Chilensis have been widely used for climatological studies. The results point out to the presence of significant scaling in the temporal fluctuations of tree-ring, which is not due to singular probability density function of the widths but due to the presence of long-range correlations. Such results are in good agreement with those concerning the evidence of long-range dependencies in weather time series.

Suggested Citation

  • Telesca, Luciano & Lovallo, Michele, 2010. "Long-range dependence in tree-ring width time series of Austrocedrus Chilensis revealed by means of the detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4096-4104.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:19:p:4096-4104
    DOI: 10.1016/j.physa.2010.05.031
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    References listed on IDEAS

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    1. Sergio Arianos & Anna Carbone, 2008. "Cross-correlation of long-range correlated series," Papers 0804.2064, arXiv.org, revised Mar 2009.
    2. Monetti, Roberto A. & Havlin, Shlomo & Bunde, Armin, 2003. "Long-term persistence in the sea surface temperature fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 581-589.
    3. Telesca, Luciano, 2007. "Cycles, scaling and crossover phenomenon in length of the day (LOD) time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 459-464.
    4. Kantelhardt, Jan W & Koscielny-Bunde, Eva & Rego, Henio H.A & Havlin, Shlomo & Bunde, Armin, 2001. "Detecting long-range correlations with detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 441-454.
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    Cited by:

    1. Ozger, Mehmet, 2011. "Scaling characteristics of ocean wave height time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(6), pages 981-989.
    2. Lian, Liping & Song, Weiguo & Richard, Yuen Kwok Kit & Ma, Jian & Telesca, Luciano, 2017. "Long-range dependence and time-clustering behavior in pedestrian movement patterns in stampedes: The Love Parade case-study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 265-274.
    3. Lian, Liping & Song, Weiguo & Yuen, Kwok Kit Richard & Telesca, Luciano, 2018. "Investigating the time evolution of some parameters describing inflow processes of pedestrians in a room," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 507(C), pages 77-88.

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