Articles | Volume 7, issue 1
https://doi.org/10.5194/esd-7-133-2016
https://doi.org/10.5194/esd-7-133-2016
Research article
 | 
23 Feb 2016
Research article |  | 23 Feb 2016

Scaling regimes and linear/nonlinear responses of last millennium climate to volcanic and solar forcings

Shaun Lovejoy and Costas Varotsos

Related authors

Geographic variability in dust and temperature in climate scaling regimes over the Last Glacial Cycle
Nicolás Acuña Reyes, Elwin van't Wout, Shaun Lovejoy, and Fabrice Lambert
Clim. Past, 20, 1579–1594, https://doi.org/10.5194/cp-20-1579-2024,https://doi.org/10.5194/cp-20-1579-2024, 2024
Short summary
Review article: Scaling, dynamical regimes, and stratification. How long does weather last? How big is a cloud?
Shaun Lovejoy
Nonlin. Processes Geophys., 30, 311–374, https://doi.org/10.5194/npg-30-311-2023,https://doi.org/10.5194/npg-30-311-2023, 2023
Short summary
Fractional relaxation noises, motions and the fractional energy balance equation
Shaun Lovejoy
Nonlin. Processes Geophys., 29, 93–121, https://doi.org/10.5194/npg-29-93-2022,https://doi.org/10.5194/npg-29-93-2022, 2022
Short summary
The fractional energy balance equation for climate projections through 2100
Roman Procyk, Shaun Lovejoy, and Raphael Hébert
Earth Syst. Dynam., 13, 81–107, https://doi.org/10.5194/esd-13-81-2022,https://doi.org/10.5194/esd-13-81-2022, 2022
Short summary
The half-order energy balance equation – Part 1: The homogeneous HEBE and long memories
Shaun Lovejoy
Earth Syst. Dynam., 12, 469–487, https://doi.org/10.5194/esd-12-469-2021,https://doi.org/10.5194/esd-12-469-2021, 2021
Short summary

Related subject area

Dynamics of the Earth system: concepts
Rate-induced tipping in natural and human systems
Paul D. L. Ritchie, Hassan Alkhayuon, Peter M. Cox, and Sebastian Wieczorek
Earth Syst. Dynam., 14, 669–683, https://doi.org/10.5194/esd-14-669-2023,https://doi.org/10.5194/esd-14-669-2023, 2023
Short summary
Tracing the Snowball bifurcation of aquaplanets through time reveals a fundamental shift in critical-state dynamics
Georg Feulner, Mona Bukenberger, and Stefan Petri
Earth Syst. Dynam., 14, 533–547, https://doi.org/10.5194/esd-14-533-2023,https://doi.org/10.5194/esd-14-533-2023, 2023
Short summary
Multi-million-year cycles in modelled δ13C as a response to astronomical forcing of organic matter fluxes
Gaëlle Leloup and Didier Paillard
Earth Syst. Dynam., 14, 291–307, https://doi.org/10.5194/esd-14-291-2023,https://doi.org/10.5194/esd-14-291-2023, 2023
Short summary
Reliability of resilience estimation based on multi-instrument time series
Taylor Smith, Ruxandra-Maria Zotta, Chris A. Boulton, Timothy M. Lenton, Wouter Dorigo, and Niklas Boers
Earth Syst. Dynam., 14, 173–183, https://doi.org/10.5194/esd-14-173-2023,https://doi.org/10.5194/esd-14-173-2023, 2023
Short summary
The ExtremeX global climate model experiment: investigating thermodynamic and dynamic processes contributing to weather and climate extremes
Kathrin Wehrli, Fei Luo, Mathias Hauser, Hideo Shiogama, Daisuke Tokuda, Hyungjun Kim, Dim Coumou, Wilhelm May, Philippe Le Sager, Frank Selten, Olivia Martius, Robert Vautard, and Sonia I. Seneviratne
Earth Syst. Dynam., 13, 1167–1196, https://doi.org/10.5194/esd-13-1167-2022,https://doi.org/10.5194/esd-13-1167-2022, 2022
Short summary

Cited articles

Anderson, J. L.: A method for producing and evaluating probabilistic forecasts from ensemble model integrations, J. Climate, 9, 1518–1530, 1996.
Ashkenazy, Y., Baker, D., Gildor, H., and Havlin, S.: Nonlinearity and multifractality of climate change in the past 420,000 years, Geophys. Res. Lett., 30, 2146, https://doi.org/10.1029/2003GL018099, 2003.
Blender, R. and Fraedrich, K.: Comment on “Volcanic forcing improves atmosphere–ocean coupled general circulation model scaling performance” by D. Vyushin, I. Zhidkov, S. Havlin, A. Bunde, and S. Brenner, Geophys. Res. Lett., 31, L22213, https://doi.org/10.1029/2004GL020797, 2004.
Bothe, O., Jungclaus, J. H., and Zanchettin, D.: Consistency of the multi-model CMIP5/PMIP3-past1000 ensemble, Clim. Past, 9, 2471–2487, https://doi.org/10.5194/cp-9-2471-2013, 2013a.
Bothe, O., Jungclaus, J. H., Zanchettin, D., and Zorita, E.: Climate of the last millennium: ensemble consistency of simulations and reconstructions, Clim. Past, 9, 1089–1110, https://doi.org/10.5194/cp-9-1089-2013, 2013b.
Short summary
We compare the statistical properties of solar, volcanic and combined forcings over the range from 1 to 1000 years to see over which scale ranges they additively combine, a prediction of linear response. The main findings are (a) that the variability in the Zebiac–Cane model and GCMs are too weak at centennial and longer scales; (b) for longer than ≈ 50 years, the forcings combine subadditively; and (c) at shorter scales, strong (intermittency, e.g. volcanic) forcings are nonlinear.
Altmetrics
Final-revised paper
Preprint