Case Studies
Apr 8, 2017

Estimation of Flow Duration Curve at Ungauged Locations in Taiwan

Publication: Journal of Hydrologic Engineering
Volume 22, Issue 8

Abstract

Flow duration curves (FDCs) are widely used to assess water availability. With the aim of overcoming the scarcity of available data in many river basins, this study proposed a process to estimate FDCs at ungauged locations. Twenty-two river basins in Taiwan with major demands were analyzed through multivariate statistical techniques. First, 158 gauges were grouped into homogeneous regions using principal component analysis (PCA), cluster analysis (CA), and discriminant analysis (DA). Second, 99 gauges with data containing unregulated flow were selected and models were built for FDC estimations, applying three regression methods including the traditional multiple linear regression (MLR), principle component regression (PCR), and partial least-squares regression (PLSR). A comparison of the model performances obtained using a cross-validation procedure showed some unstable conditions for MLR in the regional regression models for estimating the FDC; this was due to the variation of selected variables among percentile flows. The PCR and PLSR approaches can address the difficulties of variable selection and achieve a more-robust model of FDC estimation.

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References

Abudu, S., King, J. P., and Pagano, T. C. (2010). “Application of partial least-squares regression in seasonal streamflow forecasting.” J. Hydrol. Eng., 612–623.
Anderberg, M. R. (1973). Cluster analysis for applications, Academic Press, New York.
Bhaskar, N. R., and O’Connor, C. A. (1989). “Comparison of method of residuals and cluster-analysis for flood regionalization.” J. Water Resour. Plann. Manage., 793–808.
Blöschl, G., Sivapalan, M., Wagener, T., Viglione, A., and Savenije, H. (2013). Runoff prediction in ungauged basins: Synthesis across processes, places and scales, Cambridge University Press, Cambridge, U.K.
Boscarello, L., Ravazzani, G., Cislaghi, A., and Mancini, M. (2016). “Regionalization of flow-duration curves through catchment classification with streamflow signatures and physiographic-climate indices.” J. Hydrol. Eng., .
Caruso, B. S. (2014). “GIS-based stream classification in a mountain watershed for jurisdictional evaluation.” J. Am. Water Resour. Assoc., 50(5), 1304–1324.
Castellarin, A., Galeati, G., Brandimarte, L., Montanari, A., and Brath, A. (2004). “Regional flow-duration curves: Reliability for ungauged basins.” Adv. Water Resour., 27(10), 953–965.
Castiglioni, S., Castellarin, A., and Montanari, A. (2009). “Prediction of low-flow indices in ungauged basins through physiographical space-based interpolation.” J. Hydrol., 378(3–4), 272–280.
Cerny, B. A., and Kaiser, H. F. (1977). “Study of a measure of sampling adequacy for factor-analytic correlation matrices.” Multivariate Behav. Res., 12(1), 43–47.
Chiang, S. M., Tsay, T. K., and Nix, S. J. (2002). “Hydrologic regionalization of watersheds. I: Methodology development.” J. Water Resour. Plann. Manage., 3–11.
Chiang, S. M., Tsay, T. K., and Nix, S. J. (2002). “Hydrologic regionalization of watersheds. II: Applications.” J. Water Resour. Plann. Manage., 12–20.
Fennessey, N., and Vogel, R. M. (1990). “Regional flow-duration curves for ungauged sites in Massachusetts.” J. Water Resour. Plann. Manage., 530–549.
Fisher, R. A. (1936). “The use of multiple measurements in tazonomic problems.” Annals of Eugenics, 7(2), 179–188.
Ganora, D., Claps, P., Laio, F., and Viglione, A. (2009). “An approach to estimate nonparametric flow duration curves in ungauged basins.” Water Resour. Res., 45(10), W10418.
Geladi, P., and Kowalski, B. R. (1986). “Partial least-squares regression—A tutorial.” Anal. Chim. Acta, 185, 1–17.
Holmes, M. G. R., Young, A. R., Goodwin, T. H., and Grew, R. (2005). “A catchment-based water resource decision-support tool for the United Kingdom.” Environ. Modell. Software, 20(2), 197–202.
Hope, A., and Bart, R. (2012). “Synthetic monthly flow duration curves for the Cape Floristic Region, South Africa.” Water SA, 38(2), 191–200.
Hotelling, H. (1933). “Analysis of a complex of statistical variables into principal components.” J. Educ. Psychol., 24(6), 417–441.
Isik, S., and Singh, V. P. (2008). “Hydrologic regionalization of watersheds in Turkey.” J. Hydrol. Eng., 824–834.
Kroll, C. N., and Song, P. (2013). “Impact of multicollinearity on small sample hydrologic regression models.” Water Resour. Res., 49(6), 3756–3769.
Latt, Z. Z., Wittenberg, H., and Urban, B. (2015). “Clustering hydrological homogeneous regions and neural network based index flood estimation for ungauged catchments: An example of the Chindwin River in Myanmar.” Water Resour. Manage, 29(3), 913–928.
Li, M., Shao, Q. X., Zhang, L., and Chiew, F. H. S. (2010). “A new regionalization approach and its application to predict flow duration curve in ungauged basins.” J. Hydrol., 389(1–2), 137–145.
Mehaiguene, M., Meddi, M., Longobardi, A., and Toumi, S. (2012). “Low flows quantification and regionalization in North West Algeria.” J. Arid Environ., 87, 67–76.
Mendicino, G., and Senatore, A. (2013). “Evaluation of parametric and statistical approaches for the regionalization of flow duration curves in intermittent regimes.” J. Hydrol., 480, 19–32.
Mohamoud, Y. M. (2008). “Prediction of daily flow duration curves and streamflow for ungauged catchments using regional flow duration curves.” Hydrol. Sci. J., 53(4), 706–724.
Mosley, M. P. (1981). “Delimitation of New Zealand hydrologic regions.” J. Hydrol., 49(1–2), 173–192.
Nash, J. E., and Sutcliffe, J. V. (1970). “River flow forecasting through conceptual models. Part 1: A discussion of principles.” J. Hydrol., 10(3), 282–290.
Olden, J. D., Kennard, M. J., and Pusey, B. J. (2012). “A framework for hydrologic classification with a review of methodologies and applications in ecohydrology.” Ecohydrology, 5(4), 503–518.
Ouarda, T., Girard, C., Cavadias, G. S., and Bobee, B. (2001). “Regional flood frequency estimation with canonical correlation analysis.” J. Hydrol., 254(1–4), 157–173.
Pearson, K. (1901). “On lines and planes of closest fit to systems of points in space.” Philos. Mag., 2(11), 559–572.
Pugliese, A., Castellarin, A., and Brath, A. (2014). “Geostatistical prediction of flow-duration curves in an index-flow framework.” Hydrol. Earth Syst. Sci., 18(9), 3801–3816.
Rao, A. R., and Srinivas, V. V. (2006). “Regionalization of watersheds by hybrid-cluster analysis.” J. Hydrol., 318(1–4), 37–56.
Shu, C., and Ouarda, T. B. M. J. (2012). “Improved methods for daily streamflow estimates at ungauged sites.” Water Resour. Res., 48(2), W02523.
Sivakumar, B., Singh, V. P., Berndtsson, R., and Khan, S. K. (2015). “Catchment classification framework in hydrology: Challenges and directions.” J. Hydrol. Eng., 12.
Snelder, T. H., Booker, D. J., and Lamouroux, N. (2011). “A method to assess and define environmental flow rules for large jurisdictional regions.” J. Am. Water Resour. Assoc., 47(4), 828–840.
Snelder, T. H., Lamouroux, N., Leathwick, J. R., Pella, H., Sauquet, E., and Shankar, U. (2009). “Predictive mapping of the natural flow regimes of France.” J. Hydrol., 373(1–2), 57–67.
Ssegane, H., Tollner, E. W., Mohamoud, Y. M., Rasmussen, T. C., and Dowd, J. F. (2012). “Advances in variable selection methods I: Causal selection methods versus stepwise regression and principal component analysis on data of known and unknown functional relationships.” J. Hydrol., 438-439, 16–25.
Vezza, P., Comoglio, C., Rosso, M., and Viglione, A. (2010). “Low flows regionalization in north-western Italy.” Water Resour. Manage., 24(14), 4049–4074.
Water Resources Agency of the Ministry of Economic Affairs. (2017). “Hydrological information.” ⟨http://gweb.wra.gov.tw/hyis/⟩ (Mar. 14, 2017).
Wurbs, R. A. (2006). “Methods for developing naturalized monthly flows at gaged and ungaged sites.” J. Hydrol. Eng., 55–64.
Wurbs, R. A. (2015). “Institutional and hydrologic water availability in Texas.” Water Resour. Manage., 29(2), 217–231.
Yu, P. S., Yang, T. C., and Liu, C. W. (2002). “A regional model of low flow for southern Taiwan.” Hydrol. Process., 16(10), 2017–2034.
Zhang, Y., Arthington, A. H., Bunn, S. E., Mackay, S., Xia, J., and Kennard, M. (2012). “Classification of flow regimes for environmental flow assessment in regulated rivers: The Huai River Basin, China.” River Res. Appl., 28(7), 989–1005.

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Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 22Issue 8August 2017

History

Received: Mar 23, 2016
Accepted: Dec 7, 2016
Published online: Apr 8, 2017
Published in print: Aug 1, 2017
Discussion open until: Sep 8, 2017

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Authors

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Nien-Sheng Hsu, Ph.D. [email protected]
Professor, Dept. of Civil Engineering, National Taiwan Univ., Number 1, Section 4, Roosevelt Rd., Taipei 10617, Taiwan (corresponding author). E-mail: [email protected]
Chi-Jen Huang
Ph.D. Student, Dept. of Civil Engineering, National Taiwan Univ., Number 1, Section 4, Roosevelt Rd., Taipei 10617, Taiwan.

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