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In an ecosystem, environmental changes as a result of natural and human processes can cause some key parameters of the system to change with time. Depending on how fast such a parameter changes, a tipping point can occur. Existing works on…

Populations and Evolution · Quantitative Biology 2023-11-16 Shirin Panahi , Younghae Do , Alan Hastings , Ying-Cheng Lai

Tipping points associated with bifurcations (B-tipping) or induced by noise (N-tipping) are recognized mechanisms that may potentially lead to sudden climate change. We focus here a novel class of tipping points, where a sufficiently rapid…

Dynamical Systems · Mathematics 2013-02-14 Peter Ashwin , Sebastian Wieczorek , Renato Vitolo , Peter Cox

With rising global temperatures Earth's tipping elements are becoming increasingly more vulnerable to crossing their critical thresholds. The reaching of such tipping points does not only impact other tipping elements through their…

Adaptation and Self-Organizing Systems · Physics 2025-05-08 Tom Bdolach , Jürgen Kurths , Serhiy Yanchuk

Permutation entropy techniques can be useful in identifying anomalies in paleoclimate data records, including noise, outliers, and post-processing issues. We demonstrate this using weighted and unweighted permutation entropy of…

Data Analysis, Statistics and Probability · Physics 2018-12-26 Joshua Garland , Tyler R. Jones , Michael Neuder , Valerie Morris , James W. C. White , Elizabeth Bradley

Dansgaard-Oeschger events are a prominent mode of variability in the records of the last glacial cycle. Various prototype models have been proposed to explain these rapid climate fluctuations, and no agreement has emerged on which may be…

Atmospheric and Oceanic Physics · Physics 2013-02-07 Andrea A. Cimatoribus , Sybren S. Drijfhout , Valerie Livina , Gerard van der Schrier

Tipping points are abrupt, drastic, and often irreversible changes in the evolution of non-stationary and chaotic dynamical systems. For instance, increased greenhouse gas concentrations are predicted to lead to drastic decreases in low…

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

Tipping elements in the climate system are large-scale subregions of the Earth that might possess threshold behavior under global warming with large potential impacts on human societies. Here, we study a subset of five tipping elements and…

Atmospheric and Oceanic Physics · Physics 2023-10-25 Nico Wunderling , Maximilian Gelbrecht , Ricarda Winkelmann , Jürgen Kurths , Jonathan Donges

Abrupt and irreversible winter Arctic sea-ice loss may occur under anthropogenic warming due to the collapse of a sea-ice equilibrium at a threshold value of CO$_2$, commonly referred to as a tipping point. Previous work has been unable to…

Atmospheric and Oceanic Physics · Physics 2022-12-21 Camille Hankel , Eli Tziperman

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

Climate sensitivity is defined as the change in global mean equilibrium temperature after a doubling of atmospheric CO2 concentration and provides a simple measure of global warming. An early estimate of climate sensitivity, 1.5-4.5{\deg}C,…

Atmospheric and Oceanic Physics · Physics 2012-04-24 Tamsin L. Edwards , Michel Crucifix , Sandy P. Harrison

In ecology, climate and other fields, (sub)systems have been identified that can transition into a qualitatively different state when a critical threshold or tipping point in a driving process is crossed. An understanding of those tipping…

Geophysics · Physics 2020-09-16 Ann Kristin Klose , Volker Karle , Ricarda Winkelmann , Jonathan F. Donges

Model studies indicate that many climate subsystems, especially ecosystems, may be vulnerable to 'tipping': a 'catastrophic process' in which a system, driven by gradually changing external factors, abruptly transitions (or 'collapses')…

Dynamical Systems · Mathematics 2025-06-30 Dock Staal , Arjen Doelman

Many aspects of macroevolutionary theory and our understanding of biotic responses to global environmental change derive from literature-based compilations of palaeontological data. Existing manually assembled databases are, however,…

Databases · Computer Science 2014-07-23 Shanan E. Peters , Ce Zhang , Miron Livny , Christopher Ré

The development of robust Early Warning Signals (EWS) is necessary to quantify the risk of crossing tipping points in the present-day climate change. Classically, EWS are statistical measures based on time series of climate state variables,…

Atmospheric and Oceanic Physics · Physics 2025-03-25 Laure Moinat , Jérôme Kasparian , Maura Brunetti

Tipping points (TP) are abrupt transitions between metastable states in complex systems, most often described by a bifurcation or crisis of a multistable system induced by a slowly changing control parameter. An avenue for predicting TPs in…

Chaotic Dynamics · Physics 2025-11-07 Johannes Lohmann , Georg A. Gottwald

We introduce a novel geometry-oriented methodology, based on the emerging tools of topological data analysis, into the change point detection framework. The key rationale is that change points are likely to be associated with changes in…

Machine Learning · Statistics 2019-10-30 Umar Islambekov , Monisha Yuvaraj , Yulia R. Gel

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

Nonlinear dynamical systems exposed to changing forcing can exhibit catastrophic transitions between alternative and often markedly different states. The phenomenon of critical slowing down (CSD) can be used to anticipate such transitions…

Machine Learning · Computer Science 2024-09-13 Yu Huang , Sebastian Bathiany , Peter Ashwin , Niklas Boers

A wide variety of physical systems ranging from the firing of neurons to eutrophication of lakes to the presence of Arctic summer sea ice exhibit a phenomenon known as tipping. In mathematical models, tipping can be caused by bifurcations,…

Dynamical Systems · Mathematics 2018-03-14 Alanna Hoyer-Leitzel , Alice Nadeau , Andrew Roberts , Andrew Steyer