2016
DOI: 10.5194/esd-7-281-2016
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Late Quaternary temperature variability described as abrupt transitions on a 1/<i>f</i> noise background

Abstract: Abstract. In order to have a scaling description of the climate system that is not inherently non-stationary, the rapid shifts between stadials and interstadials during the last glaciation (the Dansgaard-Oeschger events) cannot be included in the scaling law. The same is true for the shifts between the glacial and interglacial states in the Quaternary climate. When these events are omitted from a scaling analysis the climate noise is consistent with a 1/f law on timescales from months to 10 5 years. If the shi… Show more

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Cited by 19 publications
(19 citation statements)
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“…The STLF behaves like a Lèvy flight on small time scales, while on long time scales, the statistics are close to Brownian motion [18]. Thus, it is clearly neither self-similar nor multifractal, which was proven in [19].…”
Section: B Examplesmentioning
confidence: 94%
“…The STLF behaves like a Lèvy flight on small time scales, while on long time scales, the statistics are close to Brownian motion [18]. Thus, it is clearly neither self-similar nor multifractal, which was proven in [19].…”
Section: B Examplesmentioning
confidence: 94%
“…Indeed, they, and others, provide a range of empirical evidence that suggests that climate does exhibit emergent regularities. (See, for example, Huybers and Curry 2006, Lovejoy and Schertzer 2013, Lovejoy 2015, Rypdal and Rypdal 2016 There is much to consider here. Is thinking of climate states in terms of distributions of weather conditions indeed so intimately tied to a view about the dynamics of climate?…”
Section: Climate Statesmentioning
confidence: 99%
“…Instrumental temperature data are not included in our analysis of multiple scaling regimes because previous studies do not show pronounced breaks in the scaling after detrending to account for influences from anthropogenic warming (Rypdal et al, 2013). The series are too short to detect scale breaks at centennial timescales.…”
Section: The Concept Of Multiple Scaling Regimes In the Holocenementioning
confidence: 99%
“…The latter may be attributed to solar, volcanic, greenhouse gas and/or orbital radiative forcing, or internal climate modes such as the El Niño-Southern Oscillation (ENSO). There is a considerable body of literature suggesting that longrange memory (LRM) stochastic processes are good statistical models for de-seasonalized local and global tempera-ture records on timescales from months up to a century or more (Koscielny-Bunde et al, 1996;Rybski et al, 2006;Efstathiou et al, 2011;Rypdal et al, 2013;Østvand et al, 2014). The standard continuous-time stochastic LRM processes are the fractional Gaussian noise (fGn) and fractional Brownian motion (fBm).…”
Section: Introductionmentioning
confidence: 99%