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dc.contributor.authorWatkins, Nicholas W.
dc.contributor.authorCalel, Raphael
dc.contributor.authorChapman, Sandra
dc.contributor.authorChechkin, Aleksei
dc.contributor.authorKlages, Rainer
dc.contributor.authorStainforth, David A.
dc.date.accessioned2024-11-05T13:09:20Z
dc.date.available2024-11-05T13:09:20Z
dc.date.issued2024-07-30
dc.description.abstractWe first review the way in which Hasselmann’s paradigm, introduced in 1976 and recently honored with the Nobel Prize, can, like many key innovations in complexity science, be understood on several different levels. It can be seen as a way to add variability into the pioneering energy balance models (EBMs) of Budyko and Sellers. On a more abstract level, however, it used the original stochastic mathematical model of Brownian motion to provide a conceptual superstructure to link slow climate variability to fast weather fluctuations, in a context broader than EBMs, and led Hasselmann to posit a need for negative feedback in climate modeling. Hasselmann’s paradigm has still much to offer us, but naturally, since the 1970s, a number of newer developments have built on his pioneering ideas. One important one has been the development of a rigorous mathematical hierarchy that embeds Hasselmann-type models in the more comprehensive Mori–Zwanzig generalized Langevin equation (GLE) framework. Another has been the interest in stochastic EBMs with a memory that has slower decay and, thus, longer range than the exponential form seen in his EBMs. In this paper, we argue that the Mori–Kubo overdamped GLE, as widely used in statistical mechanics, suggests the form of a relatively simple stochastic EBM with memory for the global temperature anomaly. We also explore how this EBM relates to Lovejoy et al.’s fractional energy balance equation.en_US
dc.identifier.citationWatkins, Calel, Chapman, Chechkin, Klages, Stainforth. The challenge of non-Markovian energy balance models in climate. Chaos. 2024;34(7)en_US
dc.identifier.cristinIDFRIDAID 2287392
dc.identifier.doi10.1063/5.0187815
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.urihttps://hdl.handle.net/10037/35445
dc.language.isoengen_US
dc.publisherAIP Publishingen_US
dc.relation.journalChaos
dc.rights.accessRightsopenAccessen_US
dc.rights.holderCopyright 2024 The Author(s)en_US
dc.rights.urihttps://creativecommons.org/licenses/by/4.0en_US
dc.rightsAttribution 4.0 International (CC BY 4.0)en_US
dc.titleThe challenge of non-Markovian energy balance models in climateen_US
dc.type.versionpublishedVersionen_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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Attribution 4.0 International (CC BY 4.0)
Med mindre det står noe annet, er denne innførselens lisens beskrevet som Attribution 4.0 International (CC BY 4.0)