Abstract
Conceptual hydrological models, sometimes also called gray-box models, are precipitation-runoff models built based on observed or assumed empirical relationships among different hydrological variables. They are different from black-box models which consider precipitation-runoff relationship only statistically. They are also different from the physically based distributed hydrological models which are based on solving differential equations describing the physical laws of mass, energy, and momentum conservations. This chapter describes how conceptual hydrological models represent the different hydrological processes involved in converting precipitation to runoff over land, and then to streamflow discharge at the basin outlet, including precipitation, snow accumulation and ablation, infiltration, soil moisture storage, evapotranspiration, runoff generation, baseflow, and river routing. Some of the well-known models are also used for illustration.
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References
E.A. Anderson, A Point Energy and Mass Balance Model of a Snow Cover (U.S. Government printing office, Washington, DC, 1976), pp. 6–22
R.G. Allen, L.S. Pereira, D. Raes, M. Smith, Crop evapotranspiration – Guidelines for computing crop water requirements, in FAO Irrigation and Drainage Paper 56, (Food and Agriculture Organization of the United Nations, Rome, 1998)
W.M. Bao, Conceptual Watershed Runoff and Sediment Model and Its Application in Loess Regions (Hohai University Press, Nanjing, 1995)
K.J. Bevin, Robert E. Horton’s perceptual model of infiltration processes. Hydrol. Process. 18, 3447–3460 (2004)
R.J.C. Burnash, The NWS River Forecast System – Catchment Modeling, in Computer models of watershed hydrology, rev edn., ed. by V.P. Singh (Ed) (Water Resources Publications, Highlands Ranch, 1995). http://www.wrpllc.com/books/cmwh.html
V.T. Chow, D.R. Maidment, L.W. Mays, Applied Hydrology (McGraw-Hill, New York, 1988)
A.J. Clemmens, Infiltration equations for border irrigation models. In: Advances in infiltration, Proceedings of the National Conference, Chicago, 1983
D. Hillel, Environmental Soil Physics (Academic Press, San Diego, 1998)
R. Hock, Temperature index melt modelling in mountain areas. J. Hydrol. 282, 104–115 (2003)
H.N. Holtan, A concept for infiltration estimates in watershed engineering. USDA, Agricultural Research Service Publication, 41–51 (1961)
R.E. Horton, An approach towards a physical interpretation of infiltration capacity. Soil Science Society of America 5, 399–417 (1940)
V. Koren, The potential for improving lumped parameter models using remotely sensed data. 13th Conference on Weather Analysis and Forecasting, Vienna, 1993, pp 397–400
A.N. Kostiakov, On the dynamics of the coefficients of water percolation in soils. Six Comm. Int. Soc. Soil Sci. Part A, 15–21 (1932)
X. Liang, D.P. Lettenmaier, E.F. Wood, S.J. Burges, A simple hydrologically based model of land surface water and energy fluxes for general circulation models. J. Geophys. Res. 99(D7), 14415–14428 (1994)
M.R. Lewis, The rate of infiltration of water in irrigation practice. Trans. Am. Geophys. Union 18, 361–368 (1937)
D.R. Maidment, Handbook of Hydrology (McGraw-Hill, New York, 1993)
G.T. McCarty, The unit hydrograph and flood routing, in US Army Corps of Engineers, Proceeding of conference of North Atlantic Division (US Engineers Office, 1938)
V.J. Mezencev, Theory of formation of the surface runoff [Russian]. Meteorologia e Hidrologia 3, 33–40 (1948)
V. Novotny, H. Olem, Water Quality: Prevention, Identification, and Management of Diffuse Pollution (Van Nostrand Reinhold, New York, 1994)
H.L. Penman, Natural evaporation from open water, bare soil, and grass. Proc. R. Soc. Lond. A Math. Phys. Sci. 193(1032), 120–145 (1948)
A.G. Price, T. Dunne, Energy balance computations of snowmelt in a subarctic area. Water Resour. Res. 12(4), 686–694 (1976)
J.A. Ramírez, Prediction and Modeling of flood hydrology and hydraulics, in Land Flood Hazards, 1st edn., (Cambridge University Press, Cambridge, 2000), pp. 293–333
W.J. Rawls, L.R. Ahuja, D.L. Brakensiek, A. Shirmohammadi, Infiltration and soil water movement, in Handbook of Hydrology, ed. by D.R. Maidment (Ed), (McGraw-Hill, New York, 1993)
L.A. Richards, Capillary conduction through porous mediums. Physics 1, 313–318 (1931)
J.C. Schaake, V.I. Koren, Q.Y. Duan, K. Mitchell, F. Chen, Simple water balance model for estimating runoff at different spatial and temporal scales. J. Geophys. Res. Atmos. 101(D3), 7461–7475 (1996)
T. Strelkoff, Modified Puls routing in Chuquatonchee Creek (Hydrologic Engineering Center, US Army Corps of Engineers, 1980), pp. 12–18
A.H. Thiessen, Precipitation averages for large areas. Mon. Weather Rev. 39, 1082–1084 (1911)
C.W. Thornthwaite, An approach toward a rational classification of climate. Geogr. Rev. 38(1), 55–94 (1948)
WMO (World Meteorological Organization), Tank model, HOMS component J04.1.01 (1981) http://www.wmo.int/pages/prog/hwrp/homs/Components/English/j04101.htm
R.J. Zhao, X.R. Liu, V. Singh, The Xinanjiang model, in Computer Models of Watershed Hydrology, ed. by V.P. Singh (Ed), (Water Resources Publications, Colorado, 1995), pp. 215–232
R.J. Zhao, Y.L. Zhuang, L.R. Fang, X.R. Liu, Q.S. Zhao, The Xinanjiang model, hydrological Foreasting proceedings Oxford symposium. IAHS 129, 351–356 (1980)
R.J. Zhao, The Xinanjiang model applied in China. J. Hydrol. 135(1–4), 371–381 (1992)
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Liu, Z., Wang, Y., Xu, Z., Duan, Q. (2017). Conceptual Hydrological Models. In: Duan, Q., Pappenberger, F., Thielen, J., Wood, A., Cloke, H., Schaake, J. (eds) Handbook of Hydrometeorological Ensemble Forecasting. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40457-3_22-1
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DOI: https://doi.org/10.1007/978-3-642-40457-3_22-1
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