Articles | Volume 27, issue 3
Nonlin. Processes Geophys., 27, 429–451, 2020
https://doi.org/10.5194/npg-27-429-2020

Special issue: Centennial issue on nonlinear geophysics: accomplishments...

Nonlin. Processes Geophys., 27, 429–451, 2020
https://doi.org/10.5194/npg-27-429-2020

Review article 17 Sep 2020

Review article | 17 Sep 2020

Review article: Hilbert problems for the climate sciences in the 21st century – 20 years later

Michael Ghil

Related authors

Dansgaard–Oeschger-like events of the penultimate climate cycle: the loess point of view
Denis-Didier Rousseau, Pierre Antoine, Niklas Boers, France Lagroix, Michael Ghil, Johanna Lomax, Markus Fuchs, Maxime Debret, Christine Hatté, Olivier Moine, Caroline Gauthier, Diana Jordanova, and Neli Jordanova
Clim. Past, 16, 713–727, https://doi.org/10.5194/cp-16-713-2020,https://doi.org/10.5194/cp-16-713-2020, 2020
Short summary
The onset of chaos in nonautonomous dissipative dynamical systems: a low-order ocean-model case study
Stefano Pierini, Mickaël D. Chekroun, and Michael Ghil
Nonlin. Processes Geophys., 25, 671–692, https://doi.org/10.5194/npg-25-671-2018,https://doi.org/10.5194/npg-25-671-2018, 2018
Short summary
Inverse stochastic–dynamic models for high-resolution Greenland ice core records
Niklas Boers, Mickael D. Chekroun, Honghu Liu, Dmitri Kondrashov, Denis-Didier Rousseau, Anders Svensson, Matthias Bigler, and Michael Ghil
Earth Syst. Dynam., 8, 1171–1190, https://doi.org/10.5194/esd-8-1171-2017,https://doi.org/10.5194/esd-8-1171-2017, 2017
Short summary
A complete representation of uncertainties in layer-counted paleoclimatic archives
Niklas Boers, Bedartha Goswami, and Michael Ghil
Clim. Past, 13, 1169–1180, https://doi.org/10.5194/cp-13-1169-2017,https://doi.org/10.5194/cp-13-1169-2017, 2017
Short summary
Coupled Climate–Economy–Biosphere (CoCEB) model – Part 1: Abatement efficacy of low-carbon technologies
Keroboto B. Z. Ogutu, Fabio D'Andrea, Michael Ghil, and Charles Nyandwi
Earth Syst. Dynam. Discuss., https://doi.org/10.5194/esd-2016-64,https://doi.org/10.5194/esd-2016-64, 2017
Preprint retracted
Short summary

Related subject area

Subject: Bifurcation, dynamical systems, chaos, phase transition, nonlinear waves, pattern formation | Topic: Climate, atmosphere, ocean, hydrology, cryosphere, biosphere | Techniques: Theory
Anthropocene climate bifurcation
Kolja Leon Kypke, William Finlay Langford, and Allan Richard Willms
Nonlin. Processes Geophys., 27, 391–409, https://doi.org/10.5194/npg-27-391-2020,https://doi.org/10.5194/npg-27-391-2020, 2020
Short summary
Baroclinic and barotropic instabilities in planetary atmospheres: energetics, equilibration and adjustment
Peter Read, Daniel Kennedy, Neil Lewis, Hélène Scolan, Fachreddin Tabataba-Vakili, Yixiong Wang, Susie Wright, and Roland Young
Nonlin. Processes Geophys., 27, 147–173, https://doi.org/10.5194/npg-27-147-2020,https://doi.org/10.5194/npg-27-147-2020, 2020
Short summary

Cited articles

Alessio, S. M.: Digital Signal Processing and Spectral Analysis for Scientists: Concepts and Applications, Springer Science and Business Media, https://doi.org/10.1007/978-3-319-25468-5, 2015. a
Alkhayuon, H., Ashwin, P., Jackson, L. C., Quinn, C., and Wood, R. A.: Basin bifurcations, oscillatory instability and rate-induced thresholds for AMOC in a global oceanic box model, arXiv [preprint], arXiv:1901.10111, 29 January 2019. a
Allen, M. R.: Liability for climate change, Nature, 421, 891–892, 2003. a
Allen, M. R. and Smith, L. A.: Monte Carlo SSA: Detecting irregular oscillations in the presence of colored noise, J. Climate, 9, 3373–3404, 1996. a
Arrow, K. J. and Debreu, G.: Existence of an equilibrium for a competitive economy, Econometrica, 22, 265–290, 1954. a
Short summary
The scientific questions posed by the climate sciences are central to socioeconomic concerns today. This paper revisits several crucial questions, starting with What can we predict beyond 1 week, for how long, and by what methods?, and ending with Can we achieve enlightened climate control of our planet by the end of the century? We review the progress in dealing with the nonlinearity and stochasticity of the Earth system and emphasize major strides in coupled climate–economy modeling.