Statistics
Scientific paper
Mar 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010phrvl.104l8501r&link_type=abstract
Physical Review Letters, vol. 104, Issue 12, id. 128501
Statistics
6
Solar Variability Impact, Systems Obeying Scaling Laws, Time Series Analysis, Time Variability, Flares
Scientific paper
We reexamine observational evidence presented in support of the hypothesis of a sun-climate complexity linking by N. Scafetta and B. J. West, Phys. Rev. Lett. 90, 248701 (2003)PRLTAO0031-900710.1103/PhysRevLett.90.248701, which contended that the integrated solar flare index (SFI) and the global temperature anomaly (GTA) both follow Lévy walk statistics with the same waiting-time exponent μ≈2.1. However, their analysis does not account for trends in the signal, cannot deal correctly with infinite variance processes (Lévy flights), and suffers from considering only the second moment. Our analysis shows that properly detrended, the integrated SFI is well described as a Lévy flight, and the integrated GTA as a persistent fractional Brownian motion. These very different stochastic properties of the solar and climate records do not support the hypothesis of a sun-climate complexity linking.
Rypdal Kristoffer
Rypdal Martin
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