Distribution of Open-File Report 92-144, "Determination of Error in Individual Discharge Measurements," In Reply Refer To: March 11, 1993 Mail Stop 415 OFFICE OF SURFACE WATER TECHNICAL MEMORANDUM NO. 93.14 Subject: Distribution of Open-File Report 92-144, "Determination of Error in Individual Discharge Measurements," by V.B. Sauer and R.W. Meyer The purpose of this memorandum is to make an initial distribution of the subject report and to provide guidelines for using the technique described therein for estimating discharge-measurement error. Open-File Report (OFR) 92-144 provides methods of calculating or estimating the magnitude of errors that occur from many, but not all, sources of error encountered in making measurements using Price-type current meters. By summing the square of these errors and taking the square root of the result, the technique may be used to estimate the standard error for an individual measurement. Based on statistical theory for normally distributed data, the standard error represents the upper and lower bounds of error that include approximately 68 percent of the measurements made under those conditions (same velocity, streambed type, etc.). Because not all sources of error are considered by this estimation technique, the resulting error should be considered a probable lower value; the actual value could be significantly higher under some circumstances. Sources of error not considered include excessive proportions of flow in a small number of sections, suspended debris (such as moss, leaves, and twigs) that catches on the meter, non-typical velocity distributions caused by an upstream partial obstruction such as vegetation or a rock ledge, and excessive turbulence or agitation. It is standard U.S. Geological Survey (USGS) practice for hydrographers to assign qualitative ratings of accuracy to individual discharge measurements--excellent, good, fair, and poor. These ratings are based on subjective evaluation of objective factors affecting measurement accuracy. The factors include: number and distribution of verticals, average velocity, uniformity of flow, regularity and firmness of channel bottom, steadiness of stage and discharge during the measurement, and presence or absence of ice or debris in the flow. The error estimation technique presented in OFR 92-144 is a quantitative rating of accuracy based on computations reflecting those sources of error that can be quantified. For measurements to which it is applicable, the new technique should be more consistent among hydrographers than the subjective rating. The Office of Surface Water, therefore, encourages the use of the technique and comparison of the results with those of the qualitative technique. Using the new technique requires only one additional observation: that of streambed conditions as described in OFR 92-144 (p. 5). The error may be computed by hand or by a computer program that is presently available from the authors for Prime computers. If there is sufficient interest, the Office of Surface Water will also compile the program on Data General work stations and personal computers. The second release of NWIS II is planned to have space to enter the estimated error (calculated elsewhere), as well as the old subjective rating. Plans now call for a subsequent release to include the algorithms for calculating the estimated error within NWIS II. Experience and subsequent investigation will reveal how useful the new technique will be. Users should keep in mind that it cannot be applied blindly. The technique may not be appropriate for use with measurements made under adverse conditions not included in the equations for estimating error. Examples of these conditions include significant effects from boundary conditions, ice, flow obstructions, wind, improper procedures, and large changes in stage. In these cases, the hydrographer should apply the old subjective rating of accuracy to the measurement and consider a calculated estimate of error as being "at least this high." For the majority of measurements, however, the new technique should provide an objective and consistent method of rating discharge measurement accuracy. The new error estimation technique, like the traditional subjective accuracy rating, requires that the hydrographer observe and record the condition of the channel bottom and the characteristics of the flow field as they affect measurement accuracy. In addition, to permit assignment of accuracy ratings when the new method is not applicable and to permit evaluation of the performance of the new method, hydrographers should continue to assign accuracy ratings to all discharge measurements based on qualitative evaluation of the measurement conditions. Thus, hydrographers should continue to follow standard USGS procedures for observing, documenting, and evaluating conditions affecting the accuracy of all discharge measurements. Additional copies of OFR 92-144 may be obtained from the Office of Surface Water: U.S. Geological Survey 415 National Center Reston, Virginia 22092 703/648-5301 Charles W. Boning, Chief Office of Surface Water Attachment WRD DISTRIBUTION: A, B, FO, PO