Abstract
Among the existing mesoscale rainfall-runoff models, the geomorphological instantaneous unit hydrograph (GIUH) models can predict the streamflow reasonably well in less data availability conditions using the measurable basin geomorphology. In light of this, the rainfall-runoff transformation process of the Baitarani River Basin at Anandapur in eastern India was studied herein using the GIUH-based Nash model. In this model, the gamma function of the Nash model is approximated that does not need the computation of either the complete or incomplete gamma functions. To evaluate the efficacy of this model, four performance evaluation measures of Nash–Sutcliffe efficiency, percentage error in volume, percentage error in peak, and percentage error in time to peak are used. The results reveal that the GIUH-based Nash model performs with the average Nash–Sutcliffe model efficiency of 87.21(±8.05) % with overprediction of the runoff volume by 29.91(±18.76) %. However, this model could estimate the runoff peak more accurately with an average peak error of 3.86 (±2.50) % having an average time to peak error of 2.08(±4.17) %. Hence, overall, the GIUH-based Nash model has the capability of estimating the basin-scale runoff reasonably well.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
I. Rodriguez-Iturbe, J.B. Valdes, The geomorphologic structure of hydrologic response. Water Resour. Res. 15(6), 1409–1420 (1979)
R.E. Horton, Erosional development of streams and their drainage basins: hydrophysical approach to quantitative morphology. Bull. Geol. Soc. Am. 56(3), 275–370 (1945)
A.N. Strahler, Quantitative analysis of watershed geomorphology. Trans. Am. Geophys. Union 38(6), 913–920 (1957)
A. Rinaldo, I. Rodriguez-Iturbe, Geomorphological theory of the hydrological response. Hydrol. Process. 10(6), 803–829 (1996)
I. Rodriguez-Iturbe, A. Rinaldo, Fractal River Basins: Chance and Self-Organization (Cambridge University Press, New York, 1997)
L.D. Van der Tak, R.L. Bras, Incorporating hillslope effects into the geomorphologic instantaneous unit hydrograph. Water Resour. Res. 26(10), 2393–2400 (1990)
V.K. Gupta, E. Waymire, C.T. Wang, A representation of an instantaneous unit hydrograph from geomorphology. Water Resour. Res. 16(5), 855–862 (1980)
N.R. Bhaskar, B.P. Parida, A.K. Nayak, Flood estimation for ungauged catchments using the GIUH. J. Water Resour. Plan. Manag. 123, 228–238 (1997)
B. Sahoo, C. Chatterjee, N.S. Raghuwanshi, R. Singh, R. Kumar, Flood estimation by GIUH-based Clark and Nash models. J. Hydrol. Eng. 11, 515–525 (2006)
A. Kumar, D. Kumar, Predicting direct runoff from hilly watershed using geomorphology and stream-order-law ratios: case study. J. Hydrol. Eng. 13, 570–576 (2008)
J.E. Nash, The form of the instantaneous unit hydrograph. Int. Assoc. Sci. Hydrol. Publ. 45(3), 114–121 (1957)
J.E. Nash, A unit hydrograph study with particular reference to British catchments. Proc. Inst. Civ. Eng. 17, 249–282 (1960)
G. Nemes, New asymptotic expansion for the gamma function. Arch. Math. 95(2), 161–169 (2010). doi:10.1007/s00013-010-0146-9. ISSN 0003-889X
E. Whittaker, G. Watson, A Course of Modern Analysis (Cambridge University Press, Cambridge, 1963), pp. 251–253
E.T. Copson, Asymptotic Expansions (Cambridge University Press, Cambridge, 1965)
S. Raghavan, S.S. Rangachari (eds.), S. Ramanujan: The Lost Notebook and Other Unpublished Papers (Narosa Publ. House, Springer, New Delhi, Berlin, 1988)
J. Doorenbos, W.O. Pruitt, Guidelines for Prediction of Crop Water Requirements. FAO Irrigation and Drainage Paper No. 24 (revised) (Food and Agriculture Organization, Rome, 1977)
B. Sahoo, I. Walling, B.C. Deka, B.P. Bhatt, Standardization of reference evapotranspiration models for a sub-humid valley rangeland in the Eastern Himalayas. J. Irrig. Drain. Eng. 138(10), 880–895 (2012). doi:10.1061/(ASCE)IR.1943-4774.0000476
K. Subramanya, Engineering Hydrology, 3rd edn. (Tata McGraw-Hill, New Delhi, 2008), pp. 247–250
J.E. Nash, J.V. Sutcliffe, River flow forecasting through conceptual models, Part I – A discussion of principles. J. Hydrol. 10, 282–290 (1970)
ASCE Task Committee on Definition of Criteria for Evaluation of Watershed Models of the Watershed Management Committee, Irrigation and Drainage Division, Criteria for evaluation of watershed models. J. Irrig. Drain. Eng. 119(3), 429–442 (1993)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer Science+Business Media Singapore
About this paper
Cite this paper
Sahoo, B., Saritha, P.G. (2015). Estimating Floods from an Ungauged River Basin Using GIUH-Based Nash Model. In: Abu Bakar, S., Tahir, W., Wahid, M., Mohd Nasir, S., Hassan, R. (eds) ISFRAM 2014. Springer, Singapore. https://doi.org/10.1007/978-981-287-365-1_11
Download citation
DOI: https://doi.org/10.1007/978-981-287-365-1_11
Publisher Name: Springer, Singapore
Print ISBN: 978-981-287-364-4
Online ISBN: 978-981-287-365-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)