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On predicting upland erosion losses from rainfall depth

Part 1: Probabilistic approach

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Abstract

Point rainfall triggers the complex processes of overland flow and surface erosion. The probability density functions of rainfall duration and intensity are coupled with a physically based dynamic formulation of rainfall-runoff-sediment transport relationships for upland areas. When considering a single storm, rainfall depth alone is a poor predictor of sediment transport because of the dispersion introduced by the effect of rainfall intensity. On a long terms basis, however, the total amount of rainfall can be used to predict total erosion losses.

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References

  • Abramowitz, M.; Stegun, I.A. 1972: Handbook of mathematical functions with formulas, graphs and mathematical tables. New York: Dover

    Google Scholar 

  • Dawod, A.M. 1986: Modeling of soil erosion using rainfall volume. Ph.D dissertation, Dept. of Civil Engr., Colorado State Univ., Fort Collins

    Google Scholar 

  • Eagleson, P.S. 1978: Climate, soil and vegetation. 2. The distribution of annual precipitation derived from observed storm sequences. Water Resour. Res. 14, 713–721

    Google Scholar 

  • Foster, G.R.; Meyer, L.D. 1972: Transport of soil particles by shallow flow. Trans. Amer. Soc. Agric. Engr. 15, 99–102

    Google Scholar 

  • Gradshteyn, I.S.; Ryzhik, I.M. 1965: Table of integrals, series and products. New York: Academic Press

    Google Scholar 

  • Grayman, W.M.; Eagleson, P.S. 1969: Streamflow record length for modeling catchment dynamics. Hydrodynamic Lab. report 114, Dept. of Civil Engr., Mass. Inst. Tech., Cambridge, Mass.

    Google Scholar 

  • Julien, P.Y. 1982: Prédiction d'apport solide pluvial et nival dans les cours d'eau nordiques à partir du ruissellemena superficiel. Ph.D. dissertation, Civil Engr. Dept., Laval Univ.

  • Julien, P.Y.; Frenette, M. 1985: Modeling of rainfall erosion. J. of Hydrau. Engr. ASCE 111, 1344–1359

    Google Scholar 

  • Julien, P.Y.; Simons, D.B. 1985: Sediment transport capacity of overland flow. Trans. Amer. Soc. Agric. Engr. 28, 755–762

    Google Scholar 

  • Knisel, G.W. 1980: Creams. A field scale model for chemicals runoff and erosion from agriculture and management system. U.S. Dept. of Agric. Science and Education Admin. Report 20, 1980

  • Mayer, L.D.; Wischmeier, W.H. 1969: Mathematical simulation of the process of soil erosion by water. Trans. Amer. Soc. Agric. Engr. 12, 756–762

    Google Scholar 

  • Musgrave, G.W. 1947: The quantitative evaluation of factors in water erosion: a first approximation. J. of Soil and Water Cons. 2, 133–138

    Google Scholar 

  • Simons, D.B.; Li, R.M.; Stevens, M.A. 1975: Development of models for predicting water and sediment rounting and yield from storms on small watersheds. USDA Forest Service, Rocky Mountain Forest and Range Exp. Station

  • Todorovic, P. 1968: A mathematical study of precipitation phenomena. Report CER67-68PT65, Engr. Res. Center, Colorado State Univ., Fort Collins

    Google Scholar 

  • Wischmeier, W.H.; Smith, D.D. 1978: Predicting rainfall erosion losses from cropland east of the Rocky Mountains. US Dept. of Agric., Handbook 537

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Julien, P.Y., Dawod, A.M. On predicting upland erosion losses from rainfall depth. Stochastic Hydrol Hydraul 1, 127–134 (1987). https://doi.org/10.1007/BF01543808

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