Appendix A: A Practical Guide to Effective Discharge Calculations
Time Base
Mean daily discharges are conventionally used to construct the flow duration curve. Although this
is convenient, given the ready availability of mean daily discharge data from the USGS, it can, in some
cases, introduce error into the calculations. This arises because mean daily values can under-represent the
occurrence of short-duration, high magnitude flow events that occur within the averaging period, while
over-representing effects of low flows. On large rivers the use of the mean daily values is acceptable
because the difference between the mean and peak daily discharges is negligible. However, on smaller
streams, flood events may last only a few hours, so that the peak daily discharge is much greater than the
corresponding mean daily discharge. Excluding the flood peaks and the associated high sediment loads can
result in underestimation of the effective discharge. Rivers with a high flashiness index, defined as the ratio
of the instantaneous peak flow to the associated daily mean flow, are most likely to be affected. To avoid
this problem it may be necessary to reduce the time base for discharge averaging from 24 hours (mean
daily) to 1 hour, or even 15 minutes on flashy streams. When a shorter time base is used for the discharge
data, it is necessary to use a corresponding time base for the sediment rating curve. For example, an
investigation of discharge data for eleven USGS gaging stations in the Yazoo River Basin, Mississippi
revealed that the annual yield of bed material calculated using mean daily discharge data was approximately
50% less than the yield calculated using 15-minute data (Watson et al., 1997). These are relatively small
basins (drainage areas less than 1,000 km2) with high rainfall intensities and runoff characteristics that have
been severely affected by land-use change and channel incision. Consequently, hydrographs are
characterized by steep rising and falling limbs, with events peaking and returning to base flow in much less
than 24 hours.
In practice, mean daily discharge data may be all that are available for the majority of gaging
stations and these data may be perfectly adequate. However, caution must be exercised when using mean
daily data for watersheds with flashy runoff regimes and short-duration hydrographs. The use of 15-minute
data to improve the temporal resolution of the calculations should be seriously considered whenever the
available flow records allow it.
Period of Record
The period of record must be sufficiently long to include a wide range of morphologically-significant
flows, but not so long that changes in the climate, land use or runoff characteristics of the watershed
produce significant changes with time in the data. If the period of record is too short, there is a significant
risk that the effective discharge will be inaccurate due to the occurrence of unrepresentative flow events.
Conversely, if the period is too long, there is a risk that the flow and sediment regimes of the stream at the
beginning of the record may be significantly different to current conditions. A reasonable minimum period
of record for an effective discharge calculation is about 10 years, with 20 years of record providing more
certainty that the range of morphologically significant flows is fully represented in the data. Records longer
than 30 years should be examined carefully for evidence of temporal changes in flow and/or sediment
regimes. If the period of record at a gaging station is inadequate, consideration should be given to
developing an effective discharge based on regional estimates of the flow duration as outlined below.
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