Discussion
Which alternative diagnostic avoids the noise of the kinematic method?
Answer: A
The omega equation diagnoses vertical motion from the vorticity advection and the thermal advection, both of which are far more robustly analysed than divergence. It is derived by combining the quasi-geostrophic vorticity and thermodynamic equations to eliminate the time derivatives. The thermal wind and hypsometric relations are diagnostic relations among other fields, and the vorticity equation is an ingredient rather than the result. Most errors here come from carrying a result across from a neighbouring case where it does not hold.
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