Why El Niño Waxes and Wanes: The Ocean's Two Pendulums ✎

Original: "Effect of Heterogeneity in Models of El-Niño Southern Oscillations"
arXiv:1705.08171 · 2017-05-23 · arXiv non-exclusive · independent analysis · 1 min
Two parts of the Pacific Ocean act like pendulums on springs: weak coupling swings them, strong coupling stops them.

Water in the equatorial Pacific heats up, then the warm current moves west, and a few months later it returns and cools the surface. This is like a pendulum that swings with a delay. There are two such pendulums in the ocean, and they are connected as if by a spring.

Scientists built a model of two pendulums with different delays. It turned out that if the spring is too stiff, both pendulums stop, and temperature oscillations disappear. But if the spring is weak, one pendulum can swing the other, even if the latter would have long since stopped on its own. That is why El Niño arrives irregularly: sometimes after two years, sometimes after seven.

Previously, it was thought that the irregularity of El Niño was caused by random atmospheric noise. Now it is clear that a complex rhythm can arise on its own, from the coupling of two dissimilar ocean regions.

This knowledge helps climatologists better understand which parts of the Pacific Ocean influence each other most strongly, and to read water temperature data more accurately.

Since 1899, 29 El Niño events have been recorded, giving an average period of about 3.7 years, though intervals range from two to seven years.

\frac{dT}{dt} = T - T^3 - \alpha T(t-\delta)
The rate of change of temperature anomaly is determined by positive feedback (T), cubic damping (-T^3), and delayed negative feedback (-\alpha T(t-\delta)).
\frac{dT_1}{dt} = T_1 - T_1^3 - \alpha_1 T_1(t-\delta_1) + \gamma T_2, \quad \frac{dT_2}{dt} = T_2 - T_2^3 - \alpha_2 T_2(t-\delta_2) + \gamma T_1
Each region is described by the same equation as the single oscillator, but with an additional linear coupling term (\gamma T_j) modeling energy flux between regions.
Concepts
El Niño-Southern Oscillation ENSO Southern Oscillation recharge oscillator model Jin-Timmermann model Multivariate ENSO Index El Niño index La Niña spring predictability barrier ocean-atmosphere coupling TAO/TRITON moorings Bjerknes feedback North Equatorial Countercurrent equatorial wave propagation Indian Ocean capacitor effect Westerly wind burst mixed mode oscillations ERSST delayed oscillator theory Warm water volume