A conceptual model for determining soil erosion by water

Current estimates of rates of soil erosion by water derived from plots are incompatible with estimates of long‐term lowering of large drainage basins. Traditional arguments to reconcile these two disparate rates are flawed. The flux of sediment leaving a specified area cannot be converted to a yield simply by dividing by the area, because there is no simple relationship between flux and area. Here, we develop an approach to the determination of erosion rates that is based upon the entrainment rates and travel distances of individual particles. The limited available empirical data is consistent with the predictions of this approach. Parameterization of the equations to take account of such factors as gradient and sediment supply is required to proceed from the conceptual framework to quantitative measurements of erosion. However, our conceptual model solves the apparent paradox of the sediment delivery ratio, resolves recent discussion about the validity of erosion rates made using USLE erosion plots, and potentially can reconcile erosion rates with known lifespans of continents. Our results imply that previous estimates of soil erosion are fallacious. Copyright © 2004 John Wiley & Sons, Ltd.

[1]  J. T. Hack Studies of longitudinal stream profiles in Virginia and Maryland , 1957 .

[2]  S. Clark,et al.  Denudation rate in the Alps from geochronologic and heat flow data , 1969 .

[3]  M. Selim Yalin,et al.  Mechanics of sediment transport , 1972 .

[4]  L. D. Meyer How Rain Intensity Affects Interrill Erosion , 1980 .

[5]  P. Green,et al.  Movement of solids in air and water by raindrop impact. effects of drop-size and water-depth variations , 1983 .

[6]  D. Walling The sediment delivery problem , 1983 .

[7]  D. A. Woolhiser,et al.  Interrill Soil Erosion – Part II: Testing and Use of Model Equations , 1985 .

[8]  A. Parsons,et al.  Resistance to overland flow on desert hillslopes , 1986 .

[9]  Michael E. Meadows,et al.  Kinematic hydrology and modelling , 1986 .

[10]  Dino Torri,et al.  Splash detachment: Runoff depth and soil cohesion , 1987 .

[11]  W. Graf Fluvial Processes In Dryland Rivers , 1988 .

[12]  Anthony J. Parsons,et al.  Hydraulics of interrill overland flow on a semi-arid hillslope, southern Arizona , 1990 .

[13]  John Wainwright,et al.  Computer and hardware modelling of archaeological sediment transport on hillslopes , 1991 .

[14]  P. Kinnell The Effect Of Flow Depth On Sediment Transport Induced By Raindrops Impacting Shallow Flows , 1991 .

[15]  A. Parsons,et al.  The effect of spatial variability in overland flow on the downslope pattern of soil loss on a semiarid hillslope, southern Arizona , 1991 .

[16]  M. Church,et al.  Virtual rate and mean distance of travel of individual clasts in gravel-bed channels , 1992 .

[17]  A. Dedkov,et al.  Erosion and sediment yield in mountain regions of the world , 1992 .

[18]  A. Parsons,et al.  Tracing sediment movement in interrill overland flow on a semi‐arid grassland hillslope using magnetic susceptibility , 1993 .

[19]  M. Summerfield,et al.  Natural controls of fluvial denudation rates in major world drainage basins , 1994 .

[20]  P. Crosson Soil erosion estimates and costs. , 1995, Science.

[21]  D. Pimentel,et al.  Environmental and Economic Costs of Soil Erosion and Conservation Benefits , 1995, Science.

[22]  R. Evans,et al.  Some methods of directly assessing water erosion of cultivated land - a comparison of measurements made on plots and in fields , 1995 .

[23]  M. G. Anderson,et al.  Runoff and erosion on semi-arid hillslopes. , 1996 .

[24]  C. Allen,et al.  Runoff and erosion on the Pajarito Plateau: observations from the field , 1996, Jemez Mountains Region.

[25]  A. Parsons,et al.  Rill hydraulics on a semiarid hillslope, southern Arizona , 1996 .

[26]  G. R. Foster,et al.  Predicting soil erosion by water : a guide to conservation planning with the Revised Universal Soil Loss Equation (RUSLE) , 1997 .

[27]  J. Poesen,et al.  The European Soil Erosion Model (EUROSEM): A dynamic approach for predicting sediment transport from fields and small catchments. , 1998 .

[28]  J. Boardman An average soil erosion rate for Europe: Myth or reality? , 1998 .

[29]  Anthony J. Parsons,et al.  Experimental analysis of size and distance of travel of unconstrained particles in interrill flow , 1998 .

[30]  B. Usowicz,et al.  Source of errors in predicting silt soil erodibility with USLE , 1999 .

[31]  Toshio Koike,et al.  Global potential soil erosion with reference to land use and climate changes , 2003 .