manual for estimation of probable maximum precipitation - WMO
manual for estimation of probable maximum precipitation - WMO
manual for estimation of probable maximum precipitation - WMO
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INTRODUCTION 3<br />
intervals. In addition to their use in PMP studies, these analyses can also<br />
be useful in a study <strong>of</strong> the hydrologic characteristics <strong>of</strong> a region.<br />
1.2<br />
1.2.1<br />
LrnER AND UPPER LllIITS OF PMP<br />
Accuracy <strong>of</strong> PMP estimates<br />
There is no objective way <strong>of</strong> assessing the accuracy <strong>of</strong> the<br />
magnitude <strong>of</strong> PMP estimates derived by the procedures described here or by<br />
any other known procedures. Judgement <strong>of</strong> meteorologists, based on<br />
meteorological principIes and storm experience, is mos t importan t ..<br />
Obviously, estimates subsequently exceeded by Dbserved storm rainfall were<br />
too low. The accuracy <strong>of</strong> PMP estimates may be generally assessed by<br />
consideration <strong>of</strong> the following factors: (1) excess <strong>of</strong> estimated PMP over<br />
the <strong>maximum</strong> observed rainfall values <strong>for</strong> the surrounding meteorologically<br />
homogeneous region; (2) number and severity <strong>of</strong> recorded storms in the region<br />
considered, if a long record is available; (3) limitations on storm<br />
transposition in the region; (4) number, character and interrelationship <strong>of</strong><br />
maximizing steps; (5) reliability <strong>of</strong> any model used <strong>for</strong> relating rainfall<br />
to other meteorological variables; and (6) probability <strong>of</strong> exceeding the<br />
individual meteorological variables used in such models, with care being<br />
taken to avoid excessive compounding <strong>of</strong> probabilities <strong>of</strong> rare events. That<br />
the procedures described here <strong>for</strong> deriving estimates <strong>of</strong> PMP yield results to<br />
the nearest millimetre or tenth. <strong>of</strong> an inch should not be taken as an<br />
indication <strong>of</strong> the degree <strong>of</strong> accuracy <strong>of</strong> the estimates.<br />
Subsequent chapters show that various steps in the procedures<br />
require meteorological judgement. Consequently, the resulting estimates are<br />
dependent on decisions affecting the degree <strong>of</strong> maximization used in their<br />
derivation. It is the task <strong>of</strong> the meteorologists to balance these decisions<br />
to make a realistic estimate. Since alternate decisions are possible at<br />
some steps, lower and upper limits to PMP can be estimated, although in<br />
practice these limits are not determined and only· one set <strong>of</strong> values, or<br />
"best estimate," is usually derived.<br />
1.2.2 Confidence bands<br />
The delineation <strong>of</strong> lower and upper limits to PMP estimates is<br />
somewhat analogous to the confidence bands used in statistics. It would be<br />
convenient if a confidence band could be placed about a PMP estimate in an<br />
objective manner, similar to the standard statistical method, but this is<br />
not possible because PMP is not estimated by <strong>for</strong>mal statistical<br />
procedures. This limitation, however, does not invalidate the" concept <strong>of</strong> a<br />
confidence band about the estimate, but it means that such limits must be<br />
based in considerable measure on judgement, as is the PMP estimate itself.<br />
Factors influencing such judgement are the same as those <strong>for</strong> assessing the<br />
appropriate magnitude <strong>of</strong> PMP listed in the preceding paragraph.<br />
1.3<br />
1.3.1<br />
THE MANUAL<br />
Purpose<br />
The following statement, published in a UN/WHO report [United<br />
Nations/<strong>WMO</strong>,1967J, was cited in the original <strong>manual</strong> and is repeated here: