Articles | Volume 7, issue 1
https://doi.org/10.5194/esd-7-281-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/esd-7-281-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
31 Mar 2016
Research article |
| 31 Mar 2016
Late Quaternary temperature variability described as abrupt transitions on a 1/f noise background
Martin Rypdal
CORRESPONDING AUTHOR
Department of Mathematics and Statistics, University of Tromsø The
Arctic University of Norway, Tromsø, Norway
Kristoffer Rypdal
Department of Mathematics and Statistics, University of Tromsø The
Arctic University of Norway, Tromsø, Norway
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Cited
17 citations as recorded by crossref.
- Non-Markovian reduced models to unravel transitions in non-equilibrium systems M. Chekroun et al. https://doi.org/10.1088/1751-8121/ada7ad
- Kolmogorov modes and linear response of jump-diffusion models M. Chekroun et al. https://doi.org/10.1088/1361-6633/ae2206
- Comment on "Scaling regimes and linear/nonlinear responses of last millennium climate to volcanic and solar forcing" by S. Lovejoy and C. Varotsos (2016) K. Rypdal & M. Rypdal https://doi.org/10.5194/esd-7-597-2016
- A unified fractional-stochastic energy balance model: Theoretical analysis, numerical implementation, and implications for sustainable energy systems K. Abuasbeh & S. Trabelsi https://doi.org/10.3934/math.2026352
- Are there multiple scaling regimes in Holocene temperature records? T. Nilsen et al. https://doi.org/10.5194/esd-7-419-2016
- The Structure of Climate Variability Across Scales C. Franzke et al. https://doi.org/10.1029/2019RG000657
- Early-Warning Signals for the Onsets of Greenland Interstadials and the Younger Dryas–Preboreal Transition M. Rypdal https://doi.org/10.1175/JCLI-D-15-0828.1
- Quantification and interpretation of the climate variability record A. von der Heydt et al. https://doi.org/10.1016/j.gloplacha.2020.103399
- Emergent Scale Invariance and Climate Sensitivity M. Rypdal et al. https://doi.org/10.3390/cli6040093
- Warming Trends and Long-Range Dependent Climate Variability Since Year 1900: A Bayesian Approach E. Myrvoll-Nilsen et al. https://doi.org/10.3389/feart.2019.00214
- Apparent universality of 1/f spectra as an artifact of finite-size effects M. Korzeniowska et al. https://doi.org/10.1103/PhysRevResearch.5.L022066
- Issues in the theoretical foundations of climate science J. Katzav & W. Parker https://doi.org/10.1016/j.shpsb.2018.02.001
- Multidecadal variability in the climate system: phenomena and mechanisms A. Jüling et al. https://doi.org/10.1140/epjp/s13360-020-00515-4
- A consistent statistical model selection for abrupt glacial climate changes J. Lohmann & P. Ditlevsen https://doi.org/10.1007/s00382-018-4519-2
- Statistical estimation of global surface temperature response to forcing under the assumption of temporal scaling E. Myrvoll-Nilsen et al. https://doi.org/10.5194/esd-11-329-2020
- Consistency of detrended fluctuation analysis O. Løvsletten https://doi.org/10.1103/PhysRevE.96.012141
- Assessing the performance of the BARCAST climate field reconstruction technique for a climate with long-range memory T. Nilsen et al. https://doi.org/10.5194/cp-14-947-2018
17 citations as recorded by crossref.
- Non-Markovian reduced models to unravel transitions in non-equilibrium systems M. Chekroun et al. https://doi.org/10.1088/1751-8121/ada7ad
- Kolmogorov modes and linear response of jump-diffusion models M. Chekroun et al. https://doi.org/10.1088/1361-6633/ae2206
- Comment on "Scaling regimes and linear/nonlinear responses of last millennium climate to volcanic and solar forcing" by S. Lovejoy and C. Varotsos (2016) K. Rypdal & M. Rypdal https://doi.org/10.5194/esd-7-597-2016
- A unified fractional-stochastic energy balance model: Theoretical analysis, numerical implementation, and implications for sustainable energy systems K. Abuasbeh & S. Trabelsi https://doi.org/10.3934/math.2026352
- Are there multiple scaling regimes in Holocene temperature records? T. Nilsen et al. https://doi.org/10.5194/esd-7-419-2016
- The Structure of Climate Variability Across Scales C. Franzke et al. https://doi.org/10.1029/2019RG000657
- Early-Warning Signals for the Onsets of Greenland Interstadials and the Younger Dryas–Preboreal Transition M. Rypdal https://doi.org/10.1175/JCLI-D-15-0828.1
- Quantification and interpretation of the climate variability record A. von der Heydt et al. https://doi.org/10.1016/j.gloplacha.2020.103399
- Emergent Scale Invariance and Climate Sensitivity M. Rypdal et al. https://doi.org/10.3390/cli6040093
- Warming Trends and Long-Range Dependent Climate Variability Since Year 1900: A Bayesian Approach E. Myrvoll-Nilsen et al. https://doi.org/10.3389/feart.2019.00214
- Apparent universality of 1/f spectra as an artifact of finite-size effects M. Korzeniowska et al. https://doi.org/10.1103/PhysRevResearch.5.L022066
- Issues in the theoretical foundations of climate science J. Katzav & W. Parker https://doi.org/10.1016/j.shpsb.2018.02.001
- Multidecadal variability in the climate system: phenomena and mechanisms A. Jüling et al. https://doi.org/10.1140/epjp/s13360-020-00515-4
- A consistent statistical model selection for abrupt glacial climate changes J. Lohmann & P. Ditlevsen https://doi.org/10.1007/s00382-018-4519-2
- Statistical estimation of global surface temperature response to forcing under the assumption of temporal scaling E. Myrvoll-Nilsen et al. https://doi.org/10.5194/esd-11-329-2020
- Consistency of detrended fluctuation analysis O. Løvsletten https://doi.org/10.1103/PhysRevE.96.012141
- Assessing the performance of the BARCAST climate field reconstruction technique for a climate with long-range memory T. Nilsen et al. https://doi.org/10.5194/cp-14-947-2018
Saved (final revised paper)
Latest update: 11 Aug 2026
Short summary
We analyse scaling in temperature signals for the late quaternary climate, and focus on the effects of regime shifting events such as the Dansgaard-Oeschger cycles and the shifts between glacial and interglacial conditions. When these events are omitted from a scaling description the climate noise is consistent with a 1/f law on timescales from months to 105 years. If the events are included in the description, we obtain a model that is inherently non-stationary.
We analyse scaling in temperature signals for the late quaternary climate, and focus on the...
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