Technical Papers
Nov 3, 2012

Calibration of the Parameters of a Rainfall-Runoff Model in Ungauged Basins Using Synthetic Flow Duration Curves as Estimated by Regional Analysis

Publication: Journal of Hydrologic Engineering
Volume 18, Issue 12

Abstract

The knowledge of hydrologic variables and related functions at a given river cross section, as well as its time series of daily mean flows, supports the planning, design, and operation of facilities for the use of water resources in gauged river basins. In basins lacking systematic records of water levels and discharges, however, it becomes necessary to develop methodologies that enable the transfer of hydrologic information that is available in other basins. The present study proposes and evaluates a method for the automatic calibration of the parameters of a rainfall-runoff model in ungauged basins, using synthetic long-term flow duration curves (FDCs) estimated by a regional statistical model as the paradigm for the hydrologic processes. In this context, the long-term flow duration curves are used as an instrument to calibrate the parameters of a conceptual rainfall-runoff model. Once the parameters that control the hydrologic synthesis by the rainfall-runoff model are estimated, the continuous simulation of discharges over a given period of time enables various hydrologic evaluations such as the frequency analysis of rare events, the water balance of reservoirs, flow routing, and water availability studies. The methodology shown in here is composed, basically, of two parts. In the first part, a method for the regionalization of long-term flow duration curves is proposed, thus enabling the transfer of these hydrologic functions to ungauged watersheds, provided these are located in the same homogenous region as that of the basins for which data are available. In the second stage, the calibration of the parameters of the RIO GRANDE rainfall-runoff model is performed, having as a target to simulate the flow duration curves synthesized by the regional statistical model. The method was applied to a number of watersheds located in southeastern Brazil. In both phases of the proposed method, some performance indices are calculated in order to evaluate the accuracy of the procedures involved.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The authors wish to thank Brazilian Geological Survey (CPRM) and Power Company of Minas Gerais (CEMIG) for supplying the data used in this research. The authors also wish to acknowledge the financial support to this research from CAPES (scholarship for V. B. Pinheiro), FAPEMIG (grant PPM-00158-09 and PACSS/PPGSMARH), and CNPq (Grant 301133/2009-3). Finally, the authors wish to thank the anonymous reviewers for their valuable suggestions.

References

Castellarin, A., Camorani, G., and Brath, A. (2007). “Predicting annual and long-term flow-duration curves in ungauged basins.” Adv. Water Resour., 30(4), 937–953.
Castellarin, A., Galeati, G., Brandimarte, L., Montanari, A., and Brath, A. (2004a). “Regional flow-duration curves: Reliability for ungauged sites.” Adv. Water Resour., 27(10), 953–965.
Companhia de Pesquisa de Recursos Minerais (CPRM). (2001). “Regionalização de vazões—Sub-bacias 40 e 41.”, Relatório Final, Superintendência Regional de Belo Horizonte, Belo Horizonte, Brazil, (in Portuguese).
Duan, Q., Schaake, J., and Andreassian, V. (2006). “Model parameter estimation experiment (MOPEX): An overview of science strategy and major results from the second and third workshops.” J. Hydrol., 320(1–2), 3–17.
Hosking, J. R. M. (2005). LMoments: Fortran routines for use with the method of L-moments, http://lib.stat.cmu.edu/general/lmoments (Apr. 16, 2008).
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis—An approach based on L-Moments, 1st Ed., Cambridge University, Cambridge, UK.
Hughes, D. A., and Smakhtin, V. Y. (1996). “Daily flow data time series patching or extension: A spatial interpolation based on flow duration curves.” Hydrol. Sci. J., 41(6), 851–871.
Krasovskaia, I., Gottschalk, L., Leblois, E., and Pacheco, A. (2006). “Regionalization of flow duration curves.” Climate Variability and Change—Hydrology Impacts. Proc., 5th FRIEND World Conf., IAHS Publication, Wallingford, UK, 308, 105–110.
Lima, A. A. (2004). “Metodologia integrada para determinação da enchente de projeto de estruturas hidráulicas por meio de séries sintéticas de precipitação e modelos Chuva-Vazão.” M.Sc. thesis, Dept. of Sanitation, Environment, and Water Resources, Univ. Federal de Minas Gerais, Belo Horizonte, Brazil (in Portuguese).
Queiroga, Y. G. A. (2003). “Estudo e modelagem dos erros de simulação hidrológica e sua assimilação na previsão de vazões de Curto Prazo—O caso da bacia do Rio Grande na UHE Camargos.” M.Sc. thesis, Dept. of Sanitation, Environment, and Water Resources, Univ. Federal de Minas Gerais, Belo Horizonte, Brazil (in Portuguese).
Queiroga, Y. G. A., Naghettini, M. C., and Nascimento, N. O. (2004). “Evaluation of a short-term forecasting method based on assimilation of rainfall-runoff simulation errors.” Proc., British Hydrological Society Int. Conf., Imperial College, London, 475–483.
Queiroga, Y. G. A., Naghettini, M. C., and Nascimento, N. O. (2005). “Avaliação de um método de assimilação de erros nas previsões de vazões de curto prazo afluentes ao reservatório da UHE Camargos.” Revista Brasileira de Recursos Hídricos, Porto Alegre, Brazil, 10(3), 63–74 (in Portuguese).
Singh, V. P., and Woolhiser, D. A. (2002). “Mathematical modeling of watershed hydrology.” J. Hydrol. Eng., 7(4), 270–292.
Sivapalan, M., et al. (2003). “IAHS decade on predictions in ungauged basins (PUB), 2003–2012: Shaping an exciting future for the hydrological sciences.” Hydrol. Sci. J., 48(6), 857–880.
Skøien, J. O., and Blöschl, G. (2007). “Spatiotemporal topological kriging of runoff time series.” Water Resour. Res., 43(9), W09419.
Tolson, B. A. (2005). “Automatic calibration, management and uncertainty analysis: Phosphorus transport in the Cannonsville watershed.” Ph.D. dissertation, Cornell Univ., Ithaca, NY.
Tucci, C. E. M. (1998). Modelos Hidrológicos, 1st Ed., Editora da Universidade UFRGS, Porto Alegre, Brazil (in Portuguese).
Vandewiele, G. L., and Elias, A. (1995). “Monthly water balance of ungauged catchments obtained by geographical regionalization.” J. Hydrol., 170(1–4), 277–291.
Vogel, R. M., and Fennessey, N. M. (1994). “Flow-duration curves I: New interpretation and confidence intervals.” J. Water Resour. Plann. Manage., 120(4), 485–504.
Wagener, T., Wheater, H., and Gupta, H. V. (2004). Rainfall-Runoff modeling in gauged and ungauged catchments, Imperial College, London.
Yu, P.-S., and Yang, T.-C. (2000). “Using synthetic flow duration curves for rainfall-runoff model calibration at ungauged sites.” Hydrol. Process., 14(1), 117–133.
Zhao, R. J., Zhuang, L. R., Fang, X., Liu, R., and Zhang, Q. S. (1980). “The Xinanjiang model.” Proc., Symp. on the Application of Recent Developments in Hydrological Forecasting to the Operation of Water Resource, Vol. 129, IAHS Publication, Oxford, U.K., 351–356.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 18Issue 12December 2013
Pages: 1617 - 1626

History

Received: Nov 15, 2011
Accepted: Oct 31, 2012
Published online: Nov 3, 2012
Discussion open until: Apr 3, 2013
Published in print: Dec 1, 2013

Permissions

Request permissions for this article.

Authors

Affiliations

Viviane Borda Pinheiro [email protected]
Graduate Student, Federal Univ. of Minas Gerais, Av. Antônio Carlos 6627–4° andar, 31270-901 Belo Horizonte (MG), Brazil (corresponding author). E-mail: [email protected]
Mauro Naghettini [email protected]
Professor, Federal Univ. of Minas Gerais, Av. Antônio Carlos 6627–4° andar, 31270-901 Belo Horizonte (MG), Brazil. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share