Could you suggest to me any empirical, conceptual or physical model that can be used for erosion and deposition modeling in urban rivers and catchments?
There are various soil erosion models and their applications The most widely applied models are: Universal Soil Loss Equation (USLE), Revised Universal Soil Loss Equation (RUSLE) and Water Erosion Prediction Project (WEPP).
Thank you very much Bachir Achour for your suggestions. I found that the RUSLE model is used for hillslope erosion, which doesn't account for sediment delivery ratio and sediment yield.
The Revised Universal Soil Loss Equation (RUSLE) model is an improved version of USLE model (Wischmeier & Smith, 1965; 1978), which has broadened its application to different situations, including forest, rangeland, and disturbed lands such as mining areas (Zhang et al., 2016; Renard et al. 1997). When using the RUSLE, the effects of topography on soil erosion are estimated by the slope length (L) and slope steepness (S) constituents of the dimensionless LS factor, where LS is one of five component factors including Support Practice Factor (P), Rainfall Erosivity Factor (R), Soil Erodibility Factor (K), and Land Surface Cover Management Factor (C).
One of the most widely applied empirical models for assessing sheet and rill erosion is the Universal Soil Loss Equation (USLE), developed by Wischmeier and Smith in 1965. Agriculture Handbook 703 (Renard et al., 1997) is a guide to conservation planning with the RUSLE. Originally, USLE was developed mainly for soil erosion estimation in croplands or gently sloping topography. With its revised (RUSLE) and modified (MUSLE) versions (Wischmeier and Smith, 1978, Remortel Van et al., 2001, Lee and Lee, 2006), USLE is still being used in a large number of studies on soil loss estimation.
Though RUSLE is the most widely used model for estimation of soil erosion, the factors, namely rainfall erosivity, soil erodibility, slope length and steepness, cover management and conservation practice; vary greatly over different climatic zones, soil properties, slope, land cover and crop phase, respectively. Depending upon those variations, researchers have developed various sets of equations for different factors of RUSLE. These equations can be useful to map soil loss for many places on this planet.