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Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

Atmospheric and Oceanic Physics · Physics 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

Current techniques for predicting climate change are mainly based on "massive" deterministic numerical modeling. However, the ocean-atmosphere system is a so-called "complex system", made up of a large number of interacting elements. We…

Atmospheric and Oceanic Physics · Physics 2022-05-31 Francois Louchet

The potential for complex systems to exhibit tipping points in which an equilibrium state undergoes a sudden and often irreversible shift is well established, but prediction of these events using standard forecast modeling techniques is…

Atmospheric and Oceanic Physics · Physics 2022-12-07 Daniel Dylewsky , Timothy M. Lenton , Marten Scheffer , Thomas M. Bury , Christopher G. Fletcher , Madhur Anand , Chris T. Bauch

One way to warn of forthcoming critical transitions in Earth system components is using observations to detect declining system stability. It has also been suggested to extrapolate such stability changes into the future and predict tipping…

Geophysics · Physics 2024-08-14 Maya Ben-Yami , Andreas Morr , Sebastian Bathiany , Niklas Boers

We analyst in detail a new approach to the monitoring and forecasting of the onset of transitions in high dimensional complex systems (see Phys. Rev. Lett . vol. 113, 264102 (2014)) by application to the Tangled Nature Model of evolutionary…

Adaptation and Self-Organizing Systems · Physics 2015-08-03 Duccio Piovani , Jelena Grujic , Henrik Jeldtoft Jensen

Multistability is a phenomenon prevalent in many natural systems. In climate, for example, it allows the possibility of irreversible consequences on planetary scale as a result of climate change. Indeed, a climate ``tipping element'' is a…

Atmospheric and Oceanic Physics · Physics 2026-04-14 George Datseris , Johannes Lohmann , Oisín Hamilton , Jacob Haqq-Misra

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Rapid changes in Earth's cryosphere caused by human activity can lead to significant environmental impacts. Computer models provide a useful tool for understanding the behavior and projecting the future of Arctic and Antarctic ice sheets.…

Methodology · Statistics 2019-08-01 Won Chang , Bledar A. Konomi , Georgios Karagiannis , Yawen Guan , Murali Haran

We propose a new procedure to monitor and forecast the onset of transitions in high dimensional complex systems. We describe our procedure by an application to the Tangled Nature model of evolutionary ecology. The quasi-stable…

Adaptation and Self-Organizing Systems · Physics 2014-12-31 Andrea Cairoli , Duccio Piovani , Henrik Jeldtoft Jensen

Ordinary differential equation models are nowadays widely used for the mechanistic description of biological processes and their temporal evolution. These models typically have many unknown and non-measurable parameters, which have to be…

Quantitative Methods · Quantitative Biology 2021-05-27 Alejandro F. Villaverde , Dilan Pathirana , Fabian Fröhlich , Jan Hasenauer , Julio R. Banga

Many climate subsystems are thought to be susceptible to tipping - and some might be close to a tipping point. The general belief and intuition, based on simple conceptual models of tipping elements, is that tipping leads to reorganization…

Pattern Formation and Solitons · Physics 2021-12-01 Robbin Bastiaansen , Henk A. Dijkstra , Anna S. von der Heydt

Among the most relevant processes in the Earth system for human habitability are quasi-periodic, ocean-driven multi-year events whose dynamics are currently incompletely characterized by physical models, and hence poorly predictable. This…

Atmospheric and Oceanic Physics · Physics 2023-08-09 Matthew Bonas , Christopher K. Wikle , Stefano Castruccio

Sudden transitions in the state of a system are often undesirable in natural and human-made systems. Such transitions under fast variation of system parameters are called rate-induced tipping. We experimentally demonstrate rate-induced…

Applied Physics · Physics 2022-09-15 Induja Pavithran , P. R. Midhun , R. I. Sujith

The theory of alternative stable states and tipping points has garnered substantial attention in the last several decades. It predicts potential critical transitions from one ecosystem state to a completely different state under increasing…

Pattern Formation and Solitons · Physics 2024-09-11 Swarnendu Banerjee , Mara Baudena , Paul Carter , Robbin Bastiaansen , Arjen Doelman , Max Rietkerk

In climate science, the tuning of climate models is a computationally intensive problem due to the combination of the high-dimensionality of the system state and long integration times. Supermodelling is a technique which has shown the…

Chaotic Dynamics · Physics 2026-04-15 Jordan Seneca , Suzanne Bintanja , Frank M. Selten

We propose a multiscale approach for predicting quantities in dynamical systems which is explicitly structured to extract information in both fine-to-coarse and coarse-to-fine directions. We envision this method being generally applicable…

Atmospheric and Oceanic Physics · Physics 2025-12-30 Karl Otness , Laure Zanna , Joan Bruna

The climate system is a forced, dissipative, nonlinear, complex and heterogeneous system that is out of thermodynamic equilibrium. The system exhibits natural variability on many scales of motion, in time as well as space, and it is subject…

Atmospheric and Oceanic Physics · Physics 2020-08-05 Michael Ghil , Valerio Lucarini

The climate system's nonlinear dynamics is influenced by various external forcings and internal feedbacks that can give rise to regional and even global tipping points that may lead to significant and potentially irreversible changes.…

Atmospheric and Oceanic Physics · Physics 2026-01-21 Erik Chavez , Jan Rombouts , Michael Ghil

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

In the context of computer models, calibration is the process of estimating unknown simulator parameters from observational data. Calibration is variously referred to as model fitting, parameter estimation/inference, an inverse problem, and…

Methodology · Statistics 2023-10-16 Richard D. Wilkinson , Christopher W. Lanyon
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