Twin Winds: How Rotation and Divergence Drive El Niño ✛ ✎

Original: "Rotational and Irrotational Wind Forcing as dual drivers of El Nino Southern Oscillation variability"
arXiv:2512.04698 · 2025-12-04 · arXiv non-exclusive · independent analysis · 4 min
The divergent part of the wind drives fast climate oscillations, while the rotational part drives slow, decadal ones.

Context

El Niño is no longer considered a local anomaly off the coast of Peru: it is a global climate pendulum swinging every 2–5 years. However, its behavior changes on decadal timescales, and these shifts are poorly predictable. Surrounding this work are studies of solar wind, neutrino wind, and rotating spheres, all seeking how external forces interact with internal stratification. This article stands somewhat apart: it links not just wind and thermocline, but specifically two mathematically distinct parts of the wind field to two different time scales of the ocean.

Methods

The authors took wind and sea surface temperature data from the ERA5 archive for 1960–2020, and temperature and salinity profiles from the database of the Institute of Atmospheric Physics, Chinese Academy of Sciences. They represented the tropical Pacific as a two-layer system: a warm upper layer and a cold lower layer, separated by the thermocline. They then introduced a dimensionless wind stress, the ratio of ordinary stress to the product of upper-layer density and the square of the first baroclinic mode speed. This ratio was decomposed via Helmholtz theorem into irrotational (divergent) and solenoidal (rotational) parts. To relate thermocline depth to the Niño-3.4 index, they constructed an integral relation with a transfer function found using empirical orthogonal functions.

Results

The transfer function proved robust: its structure did not change whether calculated over the entire 1960–2020 period or only 1960–1990. It showed that even small changes in thermocline depth in the east or west of the basin strongly affect temperature in the center, while large changes in the center itself have little effect. Reconstructing the Niño-3.4 index using only the equilibrium part of the thermocline gave a correlation of 0.83 with observations but missed extreme El Niños. Adding q-waves generated by the rotational part of the wind markedly improved the fit. The q-waves themselves had a period of 25–27 years and depended weakly on initial conditions. The reduced gravity in the tropical Pacific grew linearly at about 0.66·10⁻⁴ m/s² per year, reflecting increased stratification due to uneven layer warming.

Implications

This work separates two mechanisms that were previously mixed into one concept of "wind forcing." The irrotational part of the wind drives fast, interannual oscillations, while the solenoidal part drives slow, decadal ones through interaction with changing stratification. This differs from neighboring studies, which typically consider either only zonal wind or only the thermocline, but do not distinguish the mathematical components of the wind field. Here it is shown for the first time that the rotational part of the wind, which has no intrinsic long-period variability, can generate slow ocean oscillations by multiplying with the slowly changing reduced gravity.

Future development

The method can be extended to other basins and longer data records to test how universal the separation of fast and slow modes is. It would also be interesting to include salinity as an independent factor in reduced gravity changes, since an accelerating hydrological cycle may alter regional salinity trends. For events like the 2023–2024 El Niño, when wind anomalies were weak but ocean heating strong, finer approximations than geostrophic will be needed to capture the interannual variability of q-waves.

Impact

The results are important for climate modeling and seasonal forecasts: they provide a simple way to separate the fast component of El Niño from the slow one. This could improve prediction of extreme events and understanding of the tropical Pacific response to global warming.

Next steps

Conduct a systematic sensitivity test of the transfer function to the choice of period for EOF analysis. Investigate the role of salinity in reduced gravity changes and its influence on decadal Niño-3.4 variability.

Key open problems

An unresolved question in climatology is what processes govern decadal and interdecadal El Niño variability and why extreme events become more frequent with warming. This work proposes a concrete mechanism: slow changes in ocean stratification modulate the response to the rotational part of the wind, which may explain observed regime shifts.

The knowledge machine's view

This section is addressed to the author of the paper and their colleagues. Neighbouring works were found by meaning-based search across our archive, not by word overlap. We do not review: we show the field around the work.

What the work does

The authors decomposed wind stress into its irrotational and solenoidal parts and linked them to fast and slow oscillations of the thermocline. Using reanalysis data and a two-layer model, they obtained a stable transfer function and showed that adding q waves from the rotational component of the wind improves the reproduction of extreme El Niño events. Reconstructing the Niño-3.4 index with these waves achieves a correlation of 0.83 with observations.

Where its strength is

This work is the first to separate the contributions of the irrotational and solenoidal wind components to El Niño dynamics, showing that slow changes can arise from the interaction of the fast rotational component with slowly varying stratification.

Where it could go next

  • It might be interesting to compare the found mechanism with El Niño predictions on a one-and-a-half-year horizon: if the rotational wind component and stratification indeed drive decadal modulation, then incorporating them into forecast schemes could improve predictions of extreme events.based on: El Niño Can Be Predicted a Year and a Half in Advance arXiv:2601.12251
  • Closely related is work on the 'fourth climate spring'—if it discusses an additional feedback mechanism, perhaps it could be combined with the proposed separation of wind forcing for a more complete description of decadal variability.based on: The Fourth Spring of Climate arXiv:2602.10369
  • The idea of energy transfer from fast fluctuations to slow modes via parameter modulation echoes research on the solar wind, where the interaction of fast particles with a varying background is also considered; formal analogies from those studies might help refine the mechanism of q wave generation.based on: Solar Wind: Why Protons and Alpha Particles Heat Differently arXiv:2608.10819v1

Worth trying

  • Test whether the Niño-3.4 index forecast improves on independent data when the model includes the irrotational and solenoidal wind components separately instead of the full wind stress.
  • Assess how the contribution of the rotational component changes across different phases of the Pacific Decadal Oscillation, to identify periods when slow dynamics are most pronounced.
  • Build an analog of the transfer function for various climate models and compare how well they reproduce the separation of fast and slow responses.

Why this may matter

If the proposed mechanism is confirmed, it will provide a physically based way to disentangle the sources of decadal El Niño variability, which could improve long-term climate forecasts and our understanding of how the tropical Pacific system responds to global warming.

The first scientific mention of El Niño dates to 1892, but Peruvian fishermen knew of the warm current off their coast at Christmas since the 17th century and called it "the Christ child."

In Kim Stanley Robinson's novel "Forty Signs of Rain," climate scientists battle the consequences of abrupt changes in ocean currents reminiscent of El Niño regime shifts, which here are explained by slow modulation of stratification.

N34(t) = \int_S \frac{dx}{S} \, w(x) \, Z(x,t)
The Niño-3.4 index is reconstructed as a weighted sum of thermocline depth anomalies over the entire tropical Pacific
\frac{\tau}{c_1^2 \rho} = \nabla \phi + \nabla \times \mathbf{A}
Wind stress is divided into irrotational (potential) and solenoidal (vortical) parts
\frac{\partial q}{\partial t} - D\left(\frac{g' \beta}{f^2}\right)\frac{\partial q}{\partial x} = D\left(\frac{g'}{f}\right)\nabla^2 S - D\left(\frac{g' \beta}{f^2}\right)\frac{\partial S}{\partial y}
Evolution of thermocline deviation from equilibrium under the action of the vortical part of wind stress

Key numbers

  • correlation of Niño-3.4 reconstruction using only the equilibrium part: 0.83
  • period of q-waves: 25–27 years
  • growth rate of reduced gravity: 0.66·10⁻⁴ m/s² per year
  • speed of q-waves at latitude 1°: up to 48 m/s
  • observation period: 1960–2020 (61 years)
Concepts
ENSO El Niño-Southern Oscillation Southern Oscillation Multivariate ENSO Index Jin-Timmermann model natural variability La Niña El Niño index recharge oscillator model TAO/TRITON moorings seasonal forcing spring predictability barrier North Equatorial Countercurrent seasonal cycle interannual variability Westerly wind burst wind stress ERSST NOAA CPC ocean-atmosphere coupling