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Accurate long-range forecasting of the El \Nino-Southern Oscillation (ENSO) is vital for global climate prediction and disaster risk management. Yet, limited understanding of ENSO's physical mechanisms constrains both numerical and deep…

In recent years, the application of machine learning approaches to time-series forecasting of climate dynamical phenomena has become increasingly active. It is known that applying a band-pass filter to a time-series data is a key to…

Computational Physics · Physics 2025-05-26 Takuya Jinno , Takahito Mitsui , Kengo Nakai , Yoshitaka Saiki , Tsuyoshi Yoneda

Spatio-temporal data and processes are prevalent across a wide variety of scientific disciplines. These processes are often characterized by nonlinear time dynamics that include interactions across multiple scales of spatial and temporal…

Machine Learning · Statistics 2017-08-18 Patrick L. McDermott , Christopher K. Wikle

The El Ni{~n}o-Southern Oscillation (ENSO) exerts profound influence on global climate variability, yet its prediction remains a grand challenge. Recent advances in deep learning have significantly improved forecasting skill, but the…

Machine Learning · Computer Science 2026-01-06 Yanhai Gan , Yipeng Chen , Ning Li , Xingguo Liu , Junyu Dong , Xianyao Chen

El Ni\~no-Southern Oscillation (ENSO) is the most prominent interannual climate variability in the tropics and exhibits diverse features in spatiotemporal patterns. In this paper, a simple multiscale intermediate coupled stochastic model is…

Atmospheric and Oceanic Physics · Physics 2022-06-15 Nan Chen , Xianghui Fang

Recent studies have shown that deep learning (DL) models can skillfully predict the El Ni\~no-Southern Oscillation (ENSO) forecasts over 1.5 years ahead. However, concerns regarding the reliability of predictions made by DL methods persist,…

Geophysics · Physics 2023-12-19 Pumeng Lyu , Tao Tang , Fenghua Ling , Jing-Jia Luo , Niklas Boers , Wanli Ouyang , Lei Bai

Kernel analog forecasting (KAF) is a powerful methodology for data-driven, non-parametric forecasting of dynamically generated time series data. This approach has a rigorous foundation in Koopman operator theory and it produces good…

Dynamical Systems · Mathematics 2021-09-22 Dimitris Giannakis , Amelia Henriksen , Joel A. Tropp , Rachel Ward

El Ni\~no-Southern Oscillation (ENSO) exhibits diverse characteristics in spatial pattern, peak intensity, and temporal evolution. Here we develop a three-region multiscale stochastic model to show that the observed ENSO complexity can be…

Atmospheric and Oceanic Physics · Physics 2021-04-16 Nan Chen , Xianghui Fang , Jin-Yi Yu

Data-driven modelling techniques provide a method for deriving models of dynamical systems directly from complicated data streams. However, tracking and forecasting such data streams poses a significant challenge to most methods, as they…

Dynamical Systems · Mathematics 2025-03-25 Stephen A Falconer , David J. B. Lloyd , Naratip Santitissadeekorn

A nonparametric method to predict non-Markovian time series of partially observed dynamics is developed. The prediction problem we consider is a supervised learning task of finding a regression function that takes a delay embedded…

Methodology · Statistics 2021-01-14 Faheem Gilani , Dimitrios Giannakis , John Harlim

An information-theoretic framework is developed to assess the predictability of ENSO complexity, which is a central problem in contemporary meteorology with large societal impacts. The information theory advances a unique way to quantify…

Atmospheric and Oceanic Physics · Physics 2023-04-05 Xianghui Fang , Nan Chen

The El Ni\~no Southern Oscillation (ENSO) is a semi-periodic fluctuation in sea surface temperature (SST) over the tropical central and eastern Pacific Ocean that influences interannual variability in regional hydrology across the world…

Atmospheric and Oceanic Physics · Physics 2023-01-24 Yumin Liu , Kate Duffy , Jennifer G. Dy , Auroop R. Ganguly

El Ni\~{n}o is a typical example of a coupled atmosphere--ocean phenomenon, but it is unclear whether it can be described quantitatively by a correlation between relevant climate events. To provide clarity on this issue, we developed a…

Atmospheric and Oceanic Physics · Physics 2022-02-14 Nozomi Sugiura , Shinya Kouketsu

The dynamics of the El Ni\~no-Southern Oscillation (ENSO) are succinctly captured by the Recharge Oscillator (RO) framework. However, to simulate ENSO realistically, careful choices must be made regarding the RO's key parameters. In…

Atmospheric and Oceanic Physics · Physics 2025-09-16 Sooman Han , Alexey Fedorov , Jérôme Vialard

We consider a delay differential equation (DDE) model for El-Nino Southern Oscillation (ENSO) variability. The model combines two key mechanisms that participate in ENSO dynamics: delayed negative feedback and seasonal forcing. We perform…

Atmospheric and Oceanic Physics · Physics 2020-01-29 Michael Ghil , Ilya Zaliapin , Sylvester Thompson

The El Ni\~no-Southern Oscillation (ENSO) is a mode of interannual variability in the coupled equatorial Pacific coupled atmosphere/ocean system. El Ni\~no describes a state in which sea surface temperatures in the eastern Pacific increase…

Dynamical Systems · Mathematics 2017-10-10 John Guckenheimer , Axel Timmermann , Henk Dijkstra , Andrew Roberts

We consider a highly idealized model for El Nino/Southern Oscillation (ENSO) variability, as introduced in an earlier paper. The model is governed by a delay differential equation for sea surface temperature in the Tropical Pacific, and it…

Atmospheric and Oceanic Physics · Physics 2011-01-13 Ilya Zaliapin , Michael Ghil

Understanding the interactions between the El Nino-Southern Oscillation (ENSO) and the Madden-Julian Oscillation (MJO) is essential to studying climate variabilities and predicting extreme weather events. Here, we develop a stochastic…

Atmospheric and Oceanic Physics · Physics 2024-11-11 Charlotte Moser , Nan Chen , Yinling Zhang

The El Ni\~no Southern Oscillation (ENSO) is the most important driver of interannual global climate variability and can trigger extreme weather events and disasters in various parts of the globe. Depending on the region of maximal warming,…

Atmospheric and Oceanic Physics · Physics 2022-12-29 J. Ludescher , A. Bunde , H. J. Schellnhuber

Due to the rapidly changing climate, the frequency and severity of extreme weather is expected to increase over the coming decades. As fully-resolved climate simulations remain computationally intractable, policy makers must rely on…

Atmospheric and Oceanic Physics · Physics 2024-02-29 Benedikt Barthel Sorensen , Alexis Charalampopoulos , Shixuan Zhang , Bryce Harrop , Ruby Leung , Themistoklis Sapsis