A Procedure to Assess Streamflow Rating Curves and Streamflow Sequences

Authors: Elena Carcano, Mirzi Betasolo

Abstract:

This study aims to provide sub-hourly streamflow predictions and associated rating curves for small catchments of intermittent and torrential flow regime characterized by flash floods occurring especially during April and November. The methodology entails two lumped conceptual hydrological models which work in series. The total model is based upon eleven parameters and shows good flexibility in handling different input sets. Runoff Coefficient has contributed to improving the model’s performances and has been treated as an additional parameter; while Sensitivity Analysis has highlighted how slight changes in the model’s input can lead to changes in model’s output. The adopted procedure is steady and useful to give very practical engineering information at the expense of a parsimonious request both in input data and in the number of adopted parameters. According to the obtained results, the authors encourage the test of this combined procedure on different hydrological scenarios in order to provide information for poorly monitored catchments and not updated sites.

Keywords: Streamflow rating curve, chronological data, streamflow sequences, conceptual models.

References:

[1] Annali Idrologici, 1952-1977, Ministero dei Lavori Pubblici, Servizio Idrografico, sezione autonoma del genio civile con sede di Genova, bacini con foce del litorale tirrenico, dal Roja al Magra, Roma, Istituto Poligrafico dello Stato.
[2] Ball J. E., Kerr, A., Rocha, G. C. and Islam, A., (2016), A review of stream gauge records for design flood estimation, Proc. 37th Hydrology and Water Resources Symposium 2016: Water, Infrastructure and the Environment, HWRS 2016, Queenstown, NZ
[3] Bartolini P., Mondino M. Carcano E., 2016, Determinazione delle scale di deflusso con un metodo misto idrologico idraulico.
[4] Clemson B, Tang Y., Pyne J. and Unal R. (1995) Efficient methods for sensitivity analyisis, System Dynamics Review 11, pp31-49.
[5] Croke B., Norton J., Regionalization of rainfall runoff models, Conference: 2nd Biennial Meeting of the International Environmental Modelling and Software Society at Osnabruck, Germany, June 2004.
[6] Fenton, JD and Keller, RJ, (2001), The calculation of streamflow from measurements of stage, Technical Report 01/6, September, 2001. Cooperative Research Centre for Catchment Hydrology, https://ewater.org.au/archive/crcch//archive/pubs/pdfs/technical200106.pdf
[7] Fernandez W., Vogel R.M., Sankarasubramanian S., Regional calibration of watershed model, Hydrol Sci J 2000; 45(5) pp689-707.
[8] Hamby D.M., A review of techniques for parameter sensitivity analysis of environmental models, Environmental Monitoring and Assessment 32 pp.135-154.
[9] Hamby (1995) A comparison of sensitivity analysis techniques. Health Physics: 68 pp. 195 -204
[10] Horner (2018) Impact of stage measurement errors in streamflow uncertainties. Water Resources Research, 54, pp 1952-1976.
[11] Kingwell R. S and Pannell D. J. (1987) MIDAS A Bioeconomic Model of a Dryland Farm System Pudoc Wageningen.
[12] Kottegoda NT, Rosso R, Statistics, probability and reliability for civil and environmental enginners, New York, USA, MacGraw Hill, 1997
[13] Mckay M.D. (1995) Evaluating prediction uncertainty. Los Alamos National Laboratory, Neureg /CR 6311 (LA 12915 MS)
[14] MacMahon T., Murray C. Peel, (2019) Uncertainty in stage -discharge rating curves, Application to Australia Hydrologic Reference Stations data, Hydrological Science Journal 2019, Vol 64, No 3 pp 255 275.
[15] Morlot (2014) Dynamic Rating curve assessment for hydrometric stations and computation of the associated uncertainty quality and station management indicators, Journal of Hydrology, 517 pp 173-186.
[16] Morrison D.A. Kingwell R.S., Pannell D.J. Ewing M. A. (1986) A mathematical programming model of a crop livestock farm system Agricultural System 20 pp 243-268.
[17] Norblom T. Pannell D.J. Christiansen S., Nersoyan N, and Bahhaddy F. (1994) From weed to wealth? Prospects for medic pastures in Mediterranean farming system of northwest Syria Agricultural Economics 11 pp29-42.
[18] Rios Insua, D, (1990) Sensitivity Analysis in multi objective Decision Making. Lecture Notes in Economics and Mathematical Systems NO 347 Springer Verlag, Berlin.
[19] Searcy J.K. (1959), Flow duration curve Manual of hydrology Part 2, Low flow tecniques. Geological Survey Water Supply Paper 1542 A, United States Government Printing Office.
[20] Seibert J., Regionalization of parameters for a conceptual rainfall runoff model, Agric Forest Meteor ,1999 pp 98-99 pp 279-293.
[21] Spate J.M., Croke B.F.W., Norton J.P., A proposed rule-discovery scheme for regionalization of Rainfall Runoff Characteristics in New South Wales, Australia. In transaction of the 2nd biennial meeting of the international environmental modeling and software society, iEMS Manno, Switzerland, 2004, ISBN 88-900787-pp 1-5.
[22] Sudheer, KP and Jain, SK, (2003), Radial Basis Function Neural Network for Modeling Rating Curves, Journal of Hydrologic Engineering, 8(3):161-164
[23] Todini E., Rainfall runoff modeling :past present and future, Journal of Hydrology. 1988 pp 341-352.
[24] Uyeno D. (1992) Monte Carlo Simulation on Micro Computers Simulation 58, pp 418-423.
[25] Vrugt JA, Gupta HV, Bouten W., Sooroshian SA, Shuffled Complex Evolution Metropolis algorithm for optimization and uncertainty assessment of hydrologic model parameters, Water Resources Research, 2003, 39(8), 1201. Doi: 10.1029/2002WR001642.
[26] Wagener T., Boyle DP, Lees MJ, Wheater HS, Gupta HV, Sooroshian S. A framework for the development and application of hydrological models. Hydrol Earth System Sci 2001:5 (1) pp13-26.
[27] WMO, (2010), Manuals on Stream Gauging, WMO- No. 1044, ISBN 978-92-63-11044-2.
[28] Yadav M., Wagener T., Gupta H., Regionalization on expected watershed response behavior for improved predictions in ungauged basins, Advances in Water Resources 30, 2007, pp. 1756-1774.
[29] Yu PS, Yang TC, Using synthetic flow duration curves for rainfall runoff model calibration at ungauged sites. Hydrol Process 2000, 14(1), pp117-33.