Unfortunately, there is no reasonable way to estimate these parameters, since the vertical depth depends on the type of cloudiness. Cloud statistics do exist which could be reconstituted into a horizon cloud index, but it would be very probabilistic in nature - a 10% chance of overcast, 50% chance of some broken amount and so on. Cloud depth is also required, although it would only be a rough estimate.
We plan to investigate this subject in greater detail in the next solar eclipse bulletin.
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