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For the purposes of fictional back-story the fundamental computational difficultly of predicting the weather in detail has been underrated. There are parts to the total system that are chaotic, thus results are extremely sensitive to small changes in the initial conditions (or errors in the computational model).
Weather prediction was one of the first things tried with digital computers, along with simulations of the hydrogen bomb (at the Institute for Advanced Study). Fifty plus years later we've got 10 day forecasts that are reliable for a couple of days.
This is one of the scientific details, like conservation of energy or angular momentum that gets swept under the rug in favor of having characters with god-like (or demonic) powers.
On the other hand, the portrayal of Academy City as a scientific utopia with a dark underside may be a more considered sort of irony.
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