Why Ozone Behaves Differently at Different Altitudes

Original: "Eigen Microstates and Their Evolution of Global Ozone at Different Geopotential Heights"
arXiv:2107.00843 · 2021-07-02 · CC BY 4.0 · 2 min
Scientists have broken down ozone behavior into simple components, like music into individual notes, and revealed which processes govern it at each altitude.

Ozone is like a choir with many voices: near the ground it sings a worrying tune, because it harms lungs and leaves, while at an altitude of twenty-five kilometers it protects us from sunburn. Same gas, but opposite roles. Scientists wanted to understand who is responsible for what in this choir, so they broke it down into individual voices.

Ozone in the stratosphere protects against ultraviolet radiation, while near the surface it damages health and plants. Its variability depends on many processes, from chemical reactions to transport by air currents.

They took daily records of ozone concentration in the air over forty-one years, at thirty-seven altitude levels, from the ground to the upper stratosphere. Each point on the map became a singer, and its fluctuations a note. Then they applied a method that automatically finds recurring patterns in these notes, as if extracting clean parts from noise. This revealed different processes: the changing seasons, a long-term trend, the warm El Niño current, stratospheric winds, and the boundary between the lower and upper air layers.

It turned out that each voice sounds louder or softer depending on altitude. For example, the seasonal rhythm is strongest near the ground and in the stratosphere, but fades in between. Meanwhile, the minimum ozone near the surface occurs in February, while at an altitude of twenty kilometers it only arrives in June. So altitude acts like a conductor's baton, controlling the volume of each singer. Now scientists can monitor the ozone layer more precisely and apply this method to other parts of the climate, such as ocean currents.

The weight of the first ozone mode mirrors the atmospheric temperature profile: both curves have a kink around 300 hPa.

s^k_i(t) = \frac{\delta O^k_i(t)}{\sqrt{\langle [\delta O^k_i(t)]^2 \rangle}}
Deviation from the mean divided by the standard deviation
A^k = U^k \cdot \Lambda^k \cdot (V^k)^T = \sum_j \lambda^k_j u^k_j \otimes (v^k_j)^T
Singular value decomposition of the data matrix
\frac{C^k}{C^k_0} \cdot u^k_j = (\lambda^k_j)^2 u^k_j
Eigenvalues give the weights of the modes
Concepts
ozone layer troposphere tropospheric biennial oscillation atmospheric chemistry UAH satellite record El Niño-Southern Oscillation ENSO Multivariate ENSO Index monsoon Satellite layers geopotential height carbon cycle Jin-Timmermann model atmospheric pressure spring predictability barrier hydrogen atmosphere sea surface temperature greenhouse effect interannual variability methane