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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…

Atmospheric and Oceanic Physics · Physics 2016-05-25 Valerio Lucarini , Frank Lunkeit , Francesco Ragone

We address the issue of the validity of linear response theory for a closed quantum system subject to a periodic external driving. Linear response theory (LRT) predicts energy absorption at frequencies of the external driving where the…

Quantum Physics · Physics 2015-06-16 Angelo Russomanno , Alessandro Silva , Giuseppe E. Santoro

With the increasing urgency of climate change's impacts and limited success in reducing emissions, "geoengineering," or the artificial manipulation of the climate to reduce warming rates, has been proposed as an alternative short-term…

Physics and Society · Physics 2024-12-06 Felipe de Bolle , Egemen Kolemen

The sensitivity of climate models to increasing CO2 concentration and the climate response at decadal time scales are still major factors of uncertainty for the assessment of the long and short term effects of anthropogenic climate change.…

Atmospheric and Oceanic Physics · Physics 2016-03-23 Francesco Ragone , Valerio Lucarini , Frank Lunkeit

The climate belongs to the class of non-equilibrium forced and dissipative systems, for which most results of quasi-equilibrium statistical mechanics, including the fluctuation-dissipation theorem, do not apply. We show for the first time…

Statistical Mechanics · Physics 2011-10-11 Valerio Lucarini , Stefania Sarno

Combined climate mitigation/geoengineering approach has better economic utility, less emission control rate and temperature increase than mitigation alone. If setting the 50% reduction rate and 2^\circC temperature increase as constrains,…

Atmospheric and Oceanic Physics · Physics 2010-03-30 Wang Liang , Huang Qiu-An

This study explores integrating reinforcement learning (RL) with idealised climate models to address key parameterisation challenges in climate science. Current climate models rely on complex mathematical parameterisations to represent…

Machine Learning · Computer Science 2025-04-17 Pritthijit Nath , Henry Moss , Emily Shuckburgh , Mark Webb

Using the LRT statistic, a model R^2 is proposed for the generalized linear mixed model for assessing the association between the correlated outcomes and fixed effects. The R^2 compares the full model to a null model with all fixed effects…

Methodology · Statistics 2010-11-03 Lloyd J. Edwards

Linear Response theory aims to predict how added forcing alters the statistical properties of an unforced system. These kinds of questions have been studied predominantly for autonomous dynamical systems, yet many systems in the physical,…

Dynamical Systems · Mathematics 2026-04-07 Stefano Galatolo , Valerio Lucarini

Climate models are often affected by long-term drift that is revealed by the evolution of global variables such as the ocean temperature or the surface air temperature. This spurious trend reduces the fidelity to initial conditions and has…

Atmospheric and Oceanic Physics · Physics 2017-09-20 Maura Brunetti , Christian Vérard

Climate response metrics are used to quantify the Earth's climate response to anthropogenic changes of atmospheric CO2. Equilibrium Climate Sensitivity (ECS) is one such metric that measures the equilibrium response to CO2 doubling.…

Atmospheric and Oceanic Physics · Physics 2023-01-11 Robbin Bastiaansen , Peter Ashwin , Anna S. von der Heydt

Thanks to the space-based photometry missions CoRoT and Kepler, we now benefit from a wealth of seismic data for stars other than the sun. In the future, K2, Tess and Plato will provide further observations. The quality of this data may…

Solar and Stellar Astrophysics · Physics 2017-02-24 Gaël Buldgen , Daniel Reese , Marc-Antoine Dupret

When the climate system is forced, e.g. by emission of greenhouse gases, it responds on multiple time scales. As temperatures rise, feedback processes might intensify or weaken. Current methods to analyze feedback strength, however, do not…

Atmospheric and Oceanic Physics · Physics 2021-11-03 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

We write a nonlinear model that predicts the climate (temperature and humidity) on the surface of a small region on Earth, perform numerical investigations using the model, and compare the results to real climate on a variety of regions on…

Atmospheric and Oceanic Physics · Physics 2020-01-24 Gabriele Di Bona , Andrea Giacobbe

Climate models exhibit an approximately invariant surface warming pattern in typical end-of-century projections. This observation has been used extensively in climate impact assessments for fast calculations of local temperature anomalies,…

Atmospheric and Oceanic Physics · Physics 2024-11-22 Paolo Giani , Arlene M. Fiore , Glenn Flierl , Raffaele Ferrari , Noelle E. Selin

A linearized energy-balance model for global temperature is formulated, featuring a scale-free long-range memory (LRM) response and stochastic forcing representing the influence on the ocean heat reservoir from atmospheric weather systems.…

Atmospheric and Oceanic Physics · Physics 2015-06-16 Martin Rypdal , Kristoffer Rypdal

The use of linear response theory for forced dissipative stochastic dynamical systems through the fluctuation dissipation theorem is an attractive way to study climate change systematically among other applications. Here, a mathematically…

Mathematical Physics · Physics 2019-02-26 Martin Hairer , Andrew J Majda

Some have suggested solar geoengineering, cooling the planet by reflecting sunlight, could be deployed temporarily to shave the peak of global temperatures. This would use limited deployment to keep global mean temperatures below a given…

Atmospheric and Oceanic Physics · Physics 2021-08-03 Thomas Hornigold

Over the past decade, it has become clear that the radiative response to surface temperature change depends on the spatially varying structure in the temperature field, a phenomenon known as the "pattern effect''. The pattern effect is…

This work is motivated by the problem of predicting downward solar radiation flux spherical maps from the observation of atmospheric pressure at high cloud bottom. To this aim nonlinear functional regression is implemented under…

Methodology · Statistics 2025-02-17 Diana P. Ovalle-Muñoz , M. Dolores Ruiz-Medina
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