2016
DOI: 10.1007/s10955-016-1506-z
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Predicting Climate Change Using Response Theory: Global Averages and Spatial Patterns

Abstract: The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source general circulation model of the atmosphere featuring O(10 5 ) degrees of freedom, we show how it is possible to approach such a problem using nonequilibrium statistical mechanics. Response theory allows one to practically compute the time-dependent measure supported on the pullback attractor of the climate system, w… Show more

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Cited by 95 publications
(132 citation statements)
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References 97 publications
(205 reference statements)
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“…Despite these apparent caveats, the use of such a linear-response approach to emulate the behaviour of complex systems can be warranted by the theory, especially in the case of the climate system (see e.g. Ragone et al, 2016;Lucarini et al, 2017). Note that emission metrics can also be estimated with more complex model simulations (e.g.…”
Section: Impulse Response Functionsmentioning
confidence: 99%
“…Despite these apparent caveats, the use of such a linear-response approach to emulate the behaviour of complex systems can be warranted by the theory, especially in the case of the climate system (see e.g. Ragone et al, 2016;Lucarini et al, 2017). Note that emission metrics can also be estimated with more complex model simulations (e.g.…”
Section: Impulse Response Functionsmentioning
confidence: 99%
“…The existence of the semiannual period in both near-surface temperature and baroclinicity index might, in fact, be related to the result of a feedback mechanism between baroclinic activity and near-surface temperature through the effects of the eddies heat transports (i.e., their impact on the meridional temperature gradients), in analogy with what happens in SAO phenomenon. According to recent arguments on the constraints to the applicability of the linear Ruelle response theory to the climate system (Lucarini, et al, 2016), this leaves open the possibility that the 6-month modulation might result from the nonlinear response of near-surface temperature and baroclinic activity to the external solar forcing depending on timescales and regions considered.…”
Section: Discussionmentioning
confidence: 99%
“…For example, ours is the first attempt to conceptually categorize and frame geoengineering in terms of response theory (Kubo, 1966;Ruelle, 2009) and the theory of nonautonomous dynamical systems (Sell, 1967a, b;Romeiras et al, 1990;Crauel and Flandoli, 1994;Crauel et al, 1997;Arnold, 1998;Kloeden and Rasmussen, 2011;Carvalho et al, 2013), and then in turn as an inverse problem. This can be of little surprise, as these mathematical tools, although having been introduced to climate science for decades (Leith, 1975;Bell, 1980;Nicolis et al, 1985), are far from being exhausted, still finding many applications of tackling problems in climate science in general (Cionni et al, 2004;Gritsun and Branstator, 2007;Kirk-Davidoff, 2009;Majda 5 et al, 2010;Cooper et al, 2013;Lucarini and Sarno, 2011;Ragone et al, 2016;Lucarini et al, 2017;Herein et al, 2015Herein et al, , 2017Bódai and Tél, 2012;Drótos et al, 2015Drótos et al, , 2016. In the following we summarise briefly the existing mathematical tools (Sec.…”
Section: Introductionmentioning
confidence: 99%
“…It finds its use especially so in our context of aiming to cancel effects of greenhouse forcing by solar forcing, where the response under combined forcing is found -as also in (Boschi 10 et al, 2013) -to be approximately linear for magnitudes of the greenhouse forcing for which, when applied separately, the response is already considerably nonlinear. This implies that in the latter situation, as considered in (Ragone et al, 2016;Lucarini et al, 2017;Gritsun and Lucarini, 2017), a more accurate susceptibility estimate would not be more productive. To be able to carry out (approximate) calculations involving spectral transforms, we need to clarify the formulae and algorithms applicable to discrete time and finite size data.…”
mentioning
confidence: 99%