Flow capture efficiency and average detention time are the performance meas
ures commonly used in assessing the long-term pollutant removal effectivene
ss of storm water detention ponds. A statistical formulation is presented f
or estimating these two performance measures for typical detention ponds wh
ere outflow is controlled by an orifice or weir type structure. The flow ca
pture efficiency is determined with the estimation of the total spill volum
e. The total spill volume is calculated as the combination of the event spi
ll volume and the carryover spill volume. Thus the carryover effect of cons
ecutive runoff events is quantified. A closed-form analytical expression is
derived for estimating the average volume-weighted detention time, taking
into account the variable inflow and outflow rates and the random spacing b
etween runoff events. Analytical determinations of the average detention ti
me are confirmed by continuous simulation modeling. Statistical solutions o
f flow capture efficiency closely resemble those obtained from continuous s
imulation models. The statistical models presented, and the insights gained
from their use, can be applied in the design or evaluation of detention po
nds for storm water quality control.