Estimating Bias Limit of Moving-Boat ADCP Streamflow Measurements
Publication: Journal of Hydraulic Engineering
Volume 144, Issue 6
Abstract
This paper presents a methodology for estimating the bias limit of moving-boat acoustic Doppler current profiler (ADCP) streamflow measurements based on the classical error analysis techniques. The standard deviation (i.e., one-sigma) of the probability distribution of bias errors is defined as the bias limit. The presented method was applied to two types of data sets, as examples of applications. The first example uses 110 data sets collected in the comparison tests of different ADCP models on a wide variety of rivers and streams, located mostly in the United States. The second example uses 44 data sets collected in an ADCP regatta conducted with different ADCP models on a stream in New Zealand. The estimated bias limits from these data sets should have accounted for most, if not all, unknown and unknowable bias errors encountered in these measurements. The results from this study may be used to determine a nominal bias limit for moving-boat ADCP discharge measurements.
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Acknowledgments
The author would like to thank Justin A. Boldt and Kevin A. Oberg of the U.S. Geological Survey (USGS) for sharing the USGS ADCP comparison test data, and Andrew Willsman of the National Institute of Water and Atmospheric Research (NIWA) for sharing the NIWA ADCP regatta data. The author would also like to thank David Mueller of the USGS, who reviewed an earlier version of this paper and provided helpful comments. The author greatly appreciates the three anonymous reviewers for their valuable comments and suggestions that helped improve the quality of this paper.
References
Armstrong, B., Fulford, J., and Thibodeaux, K. (2015). “Quality assurance testing of acoustic Doppler current profiler transform matrices.” Hydrologic instrumentation facility, USGS, Reston, VA.
Boldt, J. A., and Oberg, K. (2015). “Validation of streamflow measurements made with M9 and RiverRay acoustic Doppler current profilers.” J. Hydraul. Eng., 04015054.
DerSimonian, R., and Laird, N. (1986). “Meta-analysis in clinical trials.” Controlled Clin. Trials, 7(3), 177–188.
DerSimonian, R., and Laird, N. (2015). “Meta-analysis in clinical trials revisited.” Contemp. Clin. Trials. 45, 139–145.
Eisenhart, C. (1963). “Realistic evaluation of the precision and accuracy of instrument calibration systems.” J. Res. Natl. Bur. Stand. (US), 67C(2), 161–165.
García, C., Tarrab, L., Oberg, K. A., Szupiany, R., and Cantero, M. (2012). “Variance of discharge estimates sampled using acoustic Doppler current profilers from moving platforms.” J. Hydraul. Eng., 684–694.
Gonzalez-Castro, J. A., and Buzad, J. (2016). “RiverFlowUA—A package to estimate total uncertainty in ADCP discharge measurement by FOTSE-with an application in hydrometry.” River Flow 2016, Proc., 8th Int. Conf. on Fluvial Hydraulics, G. Constantinescu, M. Garcia, and D. Hanes, eds., Taylor & Francis Group, London, 715–723.
Gonzalez-Castro, J. A., and Muste, M. (2007). “Framework for estimating uncertainty of ADCP measurements from a moving boat by standardized uncertainty analysis.” J. Hydraul. Eng., 1390–1410.
Gordon, R. L. (1996). Acoustic Doppler current profilers, principles of operation: A practical primer, 3rd Ed., RD Instruments, San Diego.
Higgins, J. P. T., and Thompson, S. G. (2002). “Quantifying heterogeneity in a meta-analysis.” Stat. Med., 21(11), 1539–1558.
Huang, H. (2006). “Analysis of random error in ADCP discharge measurement. I: A model for predicting random uncertainty.” China J. Hydraul. Eng., 37(5), 619–624 (in Chinese).
Huang, H. (2008). “Estimating precision of moving boat ADCP discharge measurement.” Proc., (DVD) of 14th Australian Hydrographers Association Conf.: Water Initiatives 2008 and Beyond, Australia Hydrographers Association, Mawson, ACT, Australia.
Huang, H. (2012). “Uncertainty model for in situ quality control of stationary ADCP open channel discharge measurement.” J. Hydraul. Eng., 4–12.
Huang, H. (2013). “Closure to ‘Uncertainty model for in situ quality control of stationary ADCP open-channel discharge measurement’ by Hening Huang.” J. Hydraul. Eng., 104–106.
Huang, H. (2015). “Statistical quality control of streamflow measurements with moving-boat acoustic Doppler current profilers.” J. Hydraulic Res., 53(6), 820–827.
Huang, H. (2016). “Estimation of Type A uncertainty of moving-boat ADCP streamflow measurements.” River Flow 2016, Proc., 8th Int. Conf. on Fluvial Hydraulics, G. Constantinescu, M. Garcia, and D. Hanes, eds., Taylor & Francis Group, London, 696–701.
Huang, H. (2018). “Uncertainty estimation with a small number of measurements. II: A redefinition of uncertainty and an estimator method.” Meas. Sci. Technol., 29(1), in press.
ISA (International Society of Automation). (2006). The automation, systems and instrumentation dictionary, 4th Ed., Research Triangle Park, Durham, NC.
ISO. (2006). Statistics—Vocabulary and symbols. 2: Applied statistics, Geneva.
JCGM (Joint Committee for Guides in Metrology). (2008). Evaluation of measurement data—Guide to the expression of uncertainty in measurement, Geneva.
Koepke, A., Lafarge, T., Possolo, A., and Toman, B. (2017a). “Consensus building for interlaboratory studies, key comparisons, and meta-analysis.” Metrologia, 54(3), S34–S62.
Koepke, A., Lafarge, T., Possolo, A., and Toman, B. (2017b). NIST consensus builder user’s manual, Statistical Engineering Division, Information Technology Laboratory, National Institute of Standards and Technology, Gaithersburg, MD.
Le Coz, J., et al. (2016). “Estimating the uncertainty of streamgauging techniques using in situ collaborative interlaboratory experiments.” J. Hydraul. Eng., 04016011.
Moore, S. A., Jamieson, E. C., Rainville, F., Rennie, C. D., and Mueller, D. S. (2017). “Monte Carlo approach for uncertainty analysis of acoustic Doppler current profiler discharge measurement by moving boat.” J. Hydraul. Eng., 04016088.
Mueller, D. S. (2013). “Extrap: Software to assist the selection of extrapolation methods for moving-boat ADCP streamflow measurements.” Comput. Geosci., 54, 211–218.
Mueller, D. S. (2016a). QRev: Software for computation and quality assurance of acoustic Doppler current profiler moving-boat streamflow measurements—User’s manual, version 2.8, USGS, Reston, VA, 2016–1052.
Mueller, D. S. (2016b). “Consistent and efficient processing of ADCP streamflow measurements.” River Flow 2016, Proc., 8th Int. Conf. on Fluvial Hydraulics, G. Constantinescu, M. Garcia, and D. Hanes, eds., Taylor & Francis Group, London, 655–663.
Mueller, D. S. (2016c). The direction and speed you are heading may be more important than you know, USGS, Reston, VA.
Mueller, D. S., Abad, J. D., García, C. M., Gartner, J. W., García, M. H., and Oberg, K. A. (2007). “Errors in acoustic Doppler profiler velocity measurements caused by flow disturbance.” J. Hydraul. Eng., 1411–1420.
Mueller, D. S., and Wagner, C. R. (2007). “Correcting acoustic Doppler current profiler discharge measurements biased by sediment transport.” J. Hydraul. Eng., 1329–1336.
Mueller, D. S., Wagner, C. R., Rehmel, M. S., Oberg, K. A., and Rainville, F. (2013). Measuring discharge with acoustic Doppler current profilers from a moving boat, USGS, Reston, VA.
Oberg, K. A., and Mueller, D. S. (2007). “Validation of streamflow measurements made with acoustic Doppler current profilers.” J. Hydraul. Eng., 1421–1432.
Oberg, K. A., Morlock, S. E., and Caldwell, W. S. (2005). Quality-assurance plan for discharge measurements using acoustic Doppler current profilers, USGS, Reston, VA, 2005–5183.
Rehmel, M. S. (2006). “Field evaluation of shallow-water acoustic Doppler current profiler discharge measurements.” Proc., World Environmental and Water Resource Congress 2006, ASCE, Reston, VA, 8.
Rennie, C. D., and Rainville, F. (2006). “Case study of precision of GPS differential correction strategies: Influence on ADCP velocity and discharge estimates.” J. Hydraul. Eng., 225–234.
Simpson, M. R. (2001). Discharge measurements using a broad-band acoustic Doppler current profiler, USGS, Reston, VA.
Tarrab, L., García, C. M., Cantero, M. I., and Oberg, K. (2012). “Role of turbulence fluctuations on uncertainties of acoustic Doppler current profiler discharge measurements.” Water Resour. Res., 48(6), W06507.
TRDI (Teledyne RD Instruments). (2009). WinRiver II user’s guide, Poway, CA.
Van der Veen, A. M. H., and Cox, M. G. (2003). “Error analysis in the evaluation of measurement uncertainty.” Metrologia, 40(2), 42.
Wagner, C. R., and Mueller, D. S. (2011). “Comparison of bottom-track to global positioning system referenced discharges measured using an acoustic Doppler current profiler.” J. Hydrol., 401(3–4), 250–258.
Willsman, A. (2014). “ADCP Regatta—Comparison measurements August 2013.” Presented at the 2014 NZ Hydrological Society Technical Workshop, New Zealand Hydrological Society, Thorndon, Wellington, New Zealand.
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©2018 American Society of Civil Engineers.
History
Received: Aug 14, 2017
Accepted: Nov 28, 2017
Published online: Mar 28, 2018
Published in print: Jun 1, 2018
Discussion open until: Aug 28, 2018
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