An event-based regional model for the frequency and magnitude of runof
f events in the arid Negev of Israel has been developed. The model con
siders the number of events in a year, their arrival times, maximum ob
served discharges and volumes, the distribution of peak discharges and
event volumes, and regional relationships between catchment area and
magnitudes associated with 10- to 100-year recurrence intervals. The o
ccurrence of events follows a negative binomial distribution with para
meters estimated from the mean and the variance of the number of event
s in a year, which, in turn, are positively correlated with the mean a
nnual depth of precipitation over the catchment. Arrival times of even
ts follow the Pearson type-3 distribution. The enveloping curve of the
maximum observed volumes is related to the catchment area by a power
function. For catchments smaller than 250 to 300 km(2) in area, the di
scharges and volumes associated with 10- to 100-year recurrence interv
als are found to be proportional to the catchment area. For large catc
hments, the discharge-area relationship may yield an inverse trend, an
d the volume may cease to increase as the area increases. Locations of
the turning points for the relationships vary between watersheds. (C)
1998 Published by Elsevier Science B.V. All rights reserved.