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Multiple hypotheses/models have been put forward regarding the cooling history of the Earth. The search for life beyond Earth has brought these models into a new light as they connect to one of the two energy sources life can tap. The…

Earth and Planetary Astrophysics · Physics 2020-04-29 Johnny Seales , Adrian Lenardic

Projecting climate change is a generalization problem: we extrapolate the recent past using physical models across past, present, and future climates. Current climate models require representations of processes that occur at scales smaller…

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

One of the most used metrics to gauge the effects of climate change is the equilibrium climate sensitivity, defined as the long-term (equilibrium) temperature increase resulting from instantaneous doubling of atmospheric CO$_2$. Since…

Atmospheric and Oceanic Physics · Physics 2021-02-04 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

We consider the effect of different temporal error structures on the inference of equilibrium climate sensitivity\footnote{ECS is defined as the realized equilibrium surface warming---globally-averaged surface air temperature---for a…

Atmospheric and Oceanic Physics · Physics 2018-09-13 B. T. Nadiga , N. M. Urban

Any experiment with climate models relies on a potentially large set of spatio-temporal boundary conditions. These can represent both the initial state of the system and/or forcings driving the model output throughout the experiment. Whilst…

Applications · Statistics 2023-12-22 Lachlan Astfalck , Daniel Williamson , Niall Gandy , Lauren Gregoire , Ruza Ivanovic

A specific implementation of Bayesian model averaging has recently been suggested as a method for the calibration of ensemble temperature forecasts. We point out the similarities between this new approach and an earlier method known as…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Stephen Jewson

Quantifying the risk of global warming exceeding critical targets such as 2.0 K requires reliable projections of uncertainty as well as best estimates of Global Mean Surface Temperature (GMST). However, uncertainty bands on GMST projections…

Applications · Statistics 2021-01-21 Philip G. Sansom , Donald Cummins , Stephan Siegert , David B. Stephenson

Global climate models aim to reproduce physical processes on a global scale and predict quantities such as temperature given some forcing inputs. We consider climate ensembles made of collections of such runs with different initial…

Applications · Statistics 2013-12-02 Stefano Castruccio , Michael L. Stein

Natural climate variability, captured through multiple initial condition ensembles, may be comparable to the variability caused by knowledge gaps in future emissions trajectories and in the physical science basis, especially at…

Applications · Statistics 2019-06-24 Udit Bhatia , Auroop Ratan Ganguly

Faithful uncertainty quantification (UQ) is paramount in high stakes climate prediction. Deep ensembles, or ensembles of probabilistic neural networks, are state of the art for UQ in machine learning (ML) and are growing increasingly…

Atmospheric and Oceanic Physics · Physics 2026-03-24 Devin M. McAfee , Elizabeth A. Barnes

To address the uncertainty in outputs of numerical weather prediction (NWP) models, ensembles of forecasts are used. To obtain such an ensemble of forecasts the NWP model is run multiple times, each time with different formulations and/or…

Applications · Statistics 2016-05-25 Annette Möller , Jürgen Groß

Motivated by applications to 3D printing, this paper presents two algorithms for calculating an ensemble of solutions to heat conduction problems. The ensemble average is the most likely temperature distribution and its variance gives an…

Numerical Analysis · Mathematics 2017-08-04 Joseph A. Fiordilino

Ensemble forecasts of weather and climate are subject to systematic biases in the ensemble mean and variance, leading to inaccurate estimates of the forecast mean and variance. To address these biases, ensemble forecasts are post-processed…

Applications · Statistics 2016-05-25 Stefan Siegert , Philip G. Sansom , Robin Williams

Integrated Assessment Models (IAMs) of the climate and economy aim to analyze the impact and efficacy of policies that aim to control climate change, such as carbon taxes and subsidies. A major characteristic of IAMs is that their…

General Economics · Economics 2020-10-20 Yongyang Cai

Despite much scientific evidence, a large fraction of the American public doubts that greenhouse gases are causing global warming. We present a simulation model as a computational test-bed for climate prediction markets. Traders adapt their…

Multiagent Systems · Computer Science 2016-07-13 John J. Nay , Martin Van der Linden , Jonathan M. Gilligan

The IPCC AR6 assessment of the impacts and risks associated with projected climate changes for the 21st century is both alarming and ambiguous. According to computer projections, the global surface may warm from 1.3 to 8.0 {\deg}C by 2100,…

Atmospheric and Oceanic Physics · Physics 2024-01-18 Nicola Scafetta

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

Model uncertainty is a crucial issue in statistics, econometrics and machine learning, yet its definition remains ambiguous and is subject to various interpretations in the literature. So far, there has not been a universally accepted…

Methodology · Statistics 2025-08-12 Guangyuan Cui , Yuting Wei , Xinyu Zhang

Prediction of climate tipping is challenging due to the lack of recent observation of actual climate tipping. Despite many previous efforts to accurately predict the existence and timing of climate tippings under specific climate scenarios,…

Atmospheric and Oceanic Physics · Physics 2024-07-01 Amane Kubo , Yohei Sawada