Probability Distribution of Peak Discharge at the Hillslope Scale Generated by Hortonian Runoff
Publication: Journal of Irrigation and Drainage Engineering
Volume 142, Issue 2
Abstract
In this work, the probability distribution of peak discharge at the hillslope bottom is determined hypothesizing a prevalent Hortonian mechanism of runoff production for a given rainfall duration. As is well known, the probability distribution of peak discharge depends on the probability of both the rainfall event as well as that of the antecedent soil moisture conditions. In particular, the probability of the rainfall event is calculated according to the familiar rainfall duration–intensity–frequency approach, whereas the ecohydrological method from the literature is used here to define the probability of the antecedent soil moisture conditions. The latter depends on a set of parameters describing the dynamic interactions between average climate, soil and vegetation. By using the Monte Carlo procedure, the peak discharge is derived for a given rainfall duration and for each antecedent moisture condition/rainfall intensity pair from a physical-based model from the literature, by coupling the analytical solution of the overland flow equations over a hillslope with an established model that accounts for the infiltration process. Thus, the probability of peak discharge is evaluated via the typical multivariate probability distribution procedure. The methodology proposed was applied to three soil classes, i.e., silty clay loam (SCL), silty clay (SC), and silty loam (SL), for three climatically diverse Sicilian localities, namely Acireale (eastern Sicily, along the Ionian coast), Enna (central mountainous region), and Trapani (westernmost coast). For each of these places, precipitation and temperature data sets are widely available.
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References
Agnese, C., and Baiamonte, G. (2006). “On hydrological response of a hillslope with prevalent Hortonian runoff.” J. Agric. Eng., 37(1), 43–54.
Agnese, C., Baiamonte, G., and Cammalleri, C. (2014). “Modelling the occurrence of rainy days under a typical Mediterranean climate.” Adv. Water Resour., 64, 62–76.
Agnese, C., Baiamonte, G., and Corrao, C. (2001). “A simple model of hillslope response for rainfall-excess mechanism of runoff generation.” Hydrol. Processes, 15(17), 3225–3238.
Baiamonte, G., Agnese, C., and Ferraris, S. (2005). “A model of Dunnian flow at hillslope scale.” Proc., General Assembly of the European Geosciences Union, Copernicus Publications, Gottingen, Germany.
Baiamonte, G., D’Asaro, F., and Grillone, G. (2015). “A simplified probabilistic-topologic model for reproducing hillslope rill network surface runoff.” J. Irrig. Drain. Eng., 04014080.
Brakensiek, D. L., Engleman, R. L., and Rawls, W. J. (1981). “Variation within texture classes of soil water parameters.” Trans. ASAE, 24(2), 335–339.
Brooks, R. H., and Corey, A. T. (1964). “Hydraulic properties of porous media.” Dept. of Civil Engineering, Colorado State Univ., Fort Collins, CO.
Chow, V. T. (1964). Handbook of applied hydrology: A compendium of water-resources technology, 4th Ed., McGraw-Hill, New York, 1453.
D’Odorico, P., Ridolfi, L., Porporato, A., and Rodriguez-Iturbe, I. (2000). “Preferential states of seasonal soil moisture: The impact of climate fluctuations.” Water Resour. Res., 36(8), 2209–2219.
FAO (Food and Agriculture Organization of United Nations). (1998). “Crop evapotranspiration: Guidelines for computing crop water requirements.”, Rome, Italy.
Green, W. H., and Ampt, G. A. (1911). “Studies of soil physics: I. Flow of air and water through soils.” J. Agric. Sci., 4(1), 1–24.
Gupta, V. K., and Waymire, E. (1990). “Multiscaling properties of spatial rainfall and river flow distributions.” J. Geophys. Res., 95(D3), 1999–2009.
Guswa, A. J., Celia, M. A., and Rodriguez-Iturbe, I. (2002). “Models of soil moisture dynamics in ecohydrology: A comparative study.” Water Resour. Res., 38(9), 1166–1181.
Horton, R. E. (1938). “The interpretation and application of runoff plane experiments with reference to soil erosion problems.” Soil Sci. Soc. Am. Proc., 3, 340–349.
Kutilek, M., and Nielsen, D. R. (1994). Soil hydrology, Catena Verlag, Cremlingen-Destedt, Germany, 370.
Laio, F., Porporato, A., Ridolfi, L., and Rodriguez-Iturbe, I. (2001). “Plants in water-controlled ecosystems: Active role in hydrologic processes and response to water stress. II. Probabilistic soil moisture dynamics.” Adv. Water Resour., 24(7), 707–723.
Laio, F., Porporato, A., Ridolfi, L., and Rodriguez-Iturbe, I. (2002). “On the seasonal dynamics of mean soil moisture.” J. Geophys. Res., 107(D15), ACL 8-1–ACL 8-9.
Larcher, W. (2003). Physiological plant ecology: Ecophysiology and stress physiology of functional groups, 4rd Ed., Springer, Berlin.
Mantio, S. (2001). “Temporal trend of extreme rainfall: 1 h–5 days.” Ph.D. thesis, Univ. of Palermo, Palermo, Italy.
Mein, R. G., andLarson, C. L. (1973). “Modeling infiltration during a steady rain.” Water Resour. Res., 9(2), 384–394.
Philip, J. R. (1991). “Hillslope infiltration: Planar slopes.” Water Resour. Res., 27(1), 109–117.
Philip, J. R. (1993). “Variable-head ponded infiltration under constant or variable rainfall.” Water Resour. Res., 29(7), 2155–2165.
Robinson, J. S., and Sivapalan, M. (1996). “Instantaneous response functions of overland flow and subsurface stormflow for catchment models.” Hydrol. Processes, 10(6), 845–862.
Rodriguez-Iturbe, I. (2000). “Ecohydrology: A hydrologic perspective of climate-soil-vegetation dynamics.” Water Resour. Res., 36(1), 3–9.
Rodriguez-Iturbe, I., Porporato, A., Laio, F., andRidolfi, L. (2001). “Intensive and extensive use of soil moisture: Plant strategies to cope with stochastic water availability.” Geophys. Res. Letter., 28(23), 4495–4497.
Rodriguez-Iturbe, I., Porporato, A., Ridolfi, L., Isham, V., andCox, D. R. (1999). “Probabilistic modelling of water balance at a point: The role of climate, soil and vegetation.” Proc. R. Soc. Lond. A, 455(1990), 3789–3805.
White, I., and Sully, M. J. (1987). “Macroscopic and microscopic capillary length and time scales from field infiltration.” Water Resour. Res., 23(8), 1514–1522.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 142 • Issue 2 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Jul 14, 2015
Accepted: Aug 27, 2015
Published online: Oct 7, 2015
Published in print: Feb 1, 2016
Discussion open until: Mar 7, 2016
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