Articles | Volume 24, issue 3
https://doi.org/10.5194/npg-24-393-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/npg-24-393-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Detecting changes in forced climate attractors with Wasserstein distance
Laboratoire des Sciences du Climat et de l'Environnement, UMR8212 CEA-CNRS-UVSQ, Institut Pierre-Simon Laplace & Université Paris-Saclay,
91191 Gif-sur-Yvette Cedex, France
Pascal Yiou
Laboratoire des Sciences du Climat et de l'Environnement, UMR8212 CEA-CNRS-UVSQ, Institut Pierre-Simon Laplace & Université Paris-Saclay,
91191 Gif-sur-Yvette Cedex, France
Philippe Naveau
Laboratoire des Sciences du Climat et de l'Environnement, UMR8212 CEA-CNRS-UVSQ, Institut Pierre-Simon Laplace & Université Paris-Saclay,
91191 Gif-sur-Yvette Cedex, France
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Cited
25 citations as recorded by crossref.
- Forecast score distributions with imperfect observations J. Bessac & P. Naveau
- Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures Y. Yang et al.
- Evaluating the Performance of Climate Models Based on Wasserstein Distance G. Vissio et al.
- Multimodel Errors and Emergence Times in Climate Attribution Studies P. Naveau & S. Thao
- Quantifying climate model representation of the wintertime Euro-Atlantic circulation using geopotential-jet regimes J. Dorrington et al.
- Invariant Measures in Time-Delay Coordinates for Unique Dynamical System Identification J. Botvinick-Greenhouse et al.
- Evaluating a stochastic parametrization for a fast–slow system using the Wasserstein distance G. Vissio & V. Lucarini
- A Century of Nonlinearity in the Geosciences M. Ghil
- Satellite Image Time Series Clustering via Time Adaptive Optimal Transport Z. Zhang et al.
- Rough basin boundaries in high dimension: Can we classify them experimentally? T. Bódai & V. Lucarini
- Multivariate stochastic bias corrections with optimal transport Y. Robin et al.
- Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences D. Crisan et al.
- A data-driven approach to model calibration for nonlinear dynamical systems C. Greve et al.
- Climate Modeling in Low Precision: Effects of Both Deterministic and Stochastic Rounding E. Paxton et al.
- The Summertime Pacific‐North American Weather Regimes and Their Predictability E. Nabizadeh et al.
- Probability Distributions for Analog-To-Target Distances P. Platzer et al.
- Time Adaptive Optimal Transport: A Framework of Time Series Similarity Measure Z. Zhang et al.
- Discovering Climate Change during the Early 21st Century via Wasserstein Stability Analysis Z. Xie et al.
- Dynamical Properties of the North Atlantic Atmospheric Circulation in the Past 150 Years in CMIP5 Models and the 20CRv2c Reanalysis D. Rodrigues et al.
- The physics of climate variability and climate change M. Ghil & V. Lucarini
- Ubiquity of human-induced changes in climate variability K. Rodgers et al.
- Non-linear dynamical approaches for characterizing multi-sector climate impacts under irreducible uncertainty R. Mawalagedara et al.
- Asymptotic behavior of the forecast–assimilation process with unstable dynamics D. Crisan & M. Ghil
- A novel metric for quantifying solar irradiance stability: Mapping solar irradiance variability to photovoltaic power generation Q. Tian et al.
- Projected Changes in the Atmospheric Dynamics of Climate Extremes in France P. Yiou et al.
25 citations as recorded by crossref.
- Forecast score distributions with imperfect observations J. Bessac & P. Naveau
- Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures Y. Yang et al.
- Evaluating the Performance of Climate Models Based on Wasserstein Distance G. Vissio et al.
- Multimodel Errors and Emergence Times in Climate Attribution Studies P. Naveau & S. Thao
- Quantifying climate model representation of the wintertime Euro-Atlantic circulation using geopotential-jet regimes J. Dorrington et al.
- Invariant Measures in Time-Delay Coordinates for Unique Dynamical System Identification J. Botvinick-Greenhouse et al.
- Evaluating a stochastic parametrization for a fast–slow system using the Wasserstein distance G. Vissio & V. Lucarini
- A Century of Nonlinearity in the Geosciences M. Ghil
- Satellite Image Time Series Clustering via Time Adaptive Optimal Transport Z. Zhang et al.
- Rough basin boundaries in high dimension: Can we classify them experimentally? T. Bódai & V. Lucarini
- Multivariate stochastic bias corrections with optimal transport Y. Robin et al.
- Introduction to the Focus Issue: Nonautonomous dynamics in the climate sciences D. Crisan et al.
- A data-driven approach to model calibration for nonlinear dynamical systems C. Greve et al.
- Climate Modeling in Low Precision: Effects of Both Deterministic and Stochastic Rounding E. Paxton et al.
- The Summertime Pacific‐North American Weather Regimes and Their Predictability E. Nabizadeh et al.
- Probability Distributions for Analog-To-Target Distances P. Platzer et al.
- Time Adaptive Optimal Transport: A Framework of Time Series Similarity Measure Z. Zhang et al.
- Discovering Climate Change during the Early 21st Century via Wasserstein Stability Analysis Z. Xie et al.
- Dynamical Properties of the North Atlantic Atmospheric Circulation in the Past 150 Years in CMIP5 Models and the 20CRv2c Reanalysis D. Rodrigues et al.
- The physics of climate variability and climate change M. Ghil & V. Lucarini
- Ubiquity of human-induced changes in climate variability K. Rodgers et al.
- Non-linear dynamical approaches for characterizing multi-sector climate impacts under irreducible uncertainty R. Mawalagedara et al.
- Asymptotic behavior of the forecast–assimilation process with unstable dynamics D. Crisan & M. Ghil
- A novel metric for quantifying solar irradiance stability: Mapping solar irradiance variability to photovoltaic power generation Q. Tian et al.
- Projected Changes in the Atmospheric Dynamics of Climate Extremes in France P. Yiou et al.
Saved (final revised paper)
Latest update: 06 May 2026
Short summary
If climate is viewed as a chaotic dynamical system, its trajectories yield on an object called an attractor. Being perturbed by an external forcing, this attractor could be modified. With Wasserstein distance, we estimate on a derived Lorenz model the impact of a forcing similar to climate change. Our approach appears to work with small data sizes. We have obtained a methodology quantifying the deformation of well-known attractors, coherent with the size of data available.
If climate is viewed as a chaotic dynamical system, its trajectories yield on an object called...