The EWRI Currents magazine just presented a great article: "A Method to Estimate Return Period of Extreme
Events Applied to Hurricane Harvey Rainfall" by Christina Hughes and others. Lumped in with the historical
dataset of all kinds of precipitation in Houston, the Harvey accumulations have astronomically large return periods and thus
exceedingly small exceedance probabilities, and yet would we expect a landfalling and lingering hurricane to strike Houston
only every 90,000 to 100,000 years? I'd like to suggest that we think about one approach to the concerns they raise:
separating precipitation into unique storm types before statistical characterization.
The very large precipitation amounts recorded from Hurricane Harvey are making many rethink how
return periods and exceedance probabilities should be developed. Kate Hirschboeck of the U of A Tree-Ring
Laboratory in Tucson wrote her dissertation on hydroclimatology, which may provide an answer. As I understand her
contribution, storms in the southwest were categorized by type and then characterized separately for each type.
The premise is that, due to different atmospheric driving processes, different storm types are expected to have different
occurrence and magnitude frequency distributions. In Arizona, that means that probabilistic characterization of precipitation
(and associated runoff) due to our three primary storm types may lead to unique characterizations and indeed that is what
we find: the probability distributions of our monsoon/convective, winter/frontal and recurvent tropical storms are different.
The tropical storms arriving in Arizona are essentially the tail ends of landfalling hurricanes and they have produced some of the
largest precipitation totals when viewed against records of all precipitation totals for all storm types. Harvey's place in
Houston's (mixed storm type) long term precipitation records may be an especially notable example of this same situation.
Perhaps one approach is to develop conditional distributions: the first, conditioning probability is that of a storm type and the second,
conditional probability is that of precipitation amount for that specific type of storm. In Harvey's case, it would be the probability
of a hurricane striking Houston and then the probability of rainfall magnitude given that the storm is a hurricane (as opposed to just
another summer shower, for example).
Any thoughts?
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Peter Mock Aff.M.ASCE
Hydrologist
PMGC
Paradise Valley AZ
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