Spectra and correlations of climate data from days to decades

By R. O. Weber, P. Talkner. 2001

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Long-term persistence and multifractality of river runoff records: Detrended fluctuation studies (2003, methodology): “This is in contrast to climate data, where universal long-term persistence of temperature records at land stations was observed (Koscienly-Bunde et al., 1998; Talkner and Weber, 2000; Weber and Talkner, 2001; Eichner et al., 2003).”
Trend evaluation in records with long‐term memory: Application to global warming (2009, background): “…processes occurring on the land surface, ocean, and cryosphere, the natural multidecadal temperature fluctuations are long-term correlated [Koscielny-Bunde et al., 1998; Pelletier and Turcotte, 1999; Weber and Talkner, 2001; Fraedrich and Blender, 2003; Monetti et al., 2003; Rybski et al., 2008].”
Long‐range persistence in global Aerosol Index dynamics (2006, background): “…proved to satisfy this criterion is the wellestablished DFA, which stems from random walk theory and permits the detection of intrinsic self-similarity in non-stationary time series (Peng et al. 1994, Perez and Trier 2001, Weber and Talkner 2001, Chen et al. 2002, Varotsos et al. 2003a,b, 2005).”
p-exponent and p-leaders, Part II: Multifractal Analysis. Relations to Detrended Fluctuation Analysis (2015, unknown): “[55] for a preliminary attempt): Sd(a, q) = 1 na ∑”