Some interesting links:
https://www.hisutton.com/US-Navy-CIA-Submarine-Launched-Spy-...
https://www.hisutton.com/Chinese-Navy-High-Altitude-Spy-Ball...
The numerical predictions of weather models often have many vertical components as well, so solving it for ground level also requires extending the forecast to the air, depending on the model.
There are of course several different global weather models that predict the behavior of the atmosphere, and it is a lot more complicated than just interpolating past data. But they all do rely on radiosonde data for daily calibration of actual atmospheric conditions.