Rainfall-Runoff Model: Watershed erosion
The RRM rainfall-runoff model is a dynamic, spatially lumped but
vertically semi-distributed basin scale
water budget model that operates at a daily timestep.
Basin (subcatchment or watershed) parameters, precipitation input data
and the runoff data generated by the model can also be used to
estimate watershed erosion (specific and totasl sediment yield)
and thus average turbidity for a scenario.
For some background, and the ranges of observed turbidity data and
specific sediment yield for a number of major rivers world wide,
see the WaterWare erosion modeling pages.
The following data and concepts are used:
| Basin Characteristics and Geometry: |
| Elevation difference | m |
simply the difference between minimum and maximum elevation specified for that basin |
| Average slope | m/km |
Elevation difference divided by basin length (RRM input) |
| Average slope length | km |
watershed area divided by drainage density (length of all perennial channels) |
| Land use distribution | in % |
summarised in a pie chart for forests, pastures, agriculture, and the residual |
| Elevation distribution | km²/100m |
summarised in a hypsographic curve |
| Precipitation Input: |
| Total precipitation | mm |
based on elevation corrected precipitation |
| Maximum precipitation | mm |
derived from the daily precipitation time series input data (elevation corrected) |
| Precipitation > 2mm | N |
Number of days with potentially erosive rain: derived from the daily precipitation input time series |
| Precipitation > 10mm | N |
Number of days with heavy rain: derived from the daily precipitation input time series |
| Runoff (RRM Model output): |
| Total/average runoff | mm, m³/s | |
| Maximum runoff | mm, m³/s | |
| Total/average interflow | mm, m³/s | |
| Total/average surface runoff | mm, m³/s | |
| Days with surface runoff | N | |
| User input: |
| Soil erodibility | symbolic | low - medium - high |
| Erosion control | symbolic | none - medium - advanced |
| EROSION MODEL OUTPUT: |
| Annual sediment load | tons, tons/ha | |
| Average turbidity | g/m³ | calculated for total flow including basflow ! |
Model implementation
The erosion model is basically empirical, logically closely related to the
Universal Soil Loss Equation (USLE, Wischmeier and Smith, 1965, 1978),
with a numbner of modifications to fully exploit the structure of
the data available and the spatioally lumped, vertically semi-distributed
structure of the model.
The relationship is a simple multiplicative one as used in USLE:
EROSION(tons/ha) = scale * PRECIPITATION
* SLOPELENGTH * SOIL * VEGETATION
* TRANSPORT * MANAGEMENT
The following basic elements are being used:
EROSION depends on:
- Precipitation (erosive energy);
- Slope (directly proportional) and slope length (indirectly proportional),
combined into a single factor, with slope dominating;
- Soil (erodibility, depending on type and organic content);
- Vegetation cover (land use class);
- Sediment transport (driven by overland and interflow)
- Erosion Control, including agricultural practices and the drainage system.
| PRECIPITATION |
describes the erosive energy from precipitation input:
SUM(Prec[day]-2) excluding snow accumulation |
| SLOPELENGTH |
combines the effects of average slop and average length of slopes:
SLOPE / SQRT(LENGTH) slope in m/km, slope length in km |
| SOIL |
soil factor representing erodibility, values are: low(0.75), medium (1.0), and high (1.5) |
| VEGETATION |
land use/cover from RRM input, area weighted average:
FOREST(0.01); PASTURES(0.05); AGRICULTURE(1.0); RESIDUAL(0.20) |
| TRANSPORT |
sediment transport through the basin:
INTERFLOW + SURFACEFLOW², all in mm |
| MANAGEMENT |
erosion control measures, symbolic: none (1.0), medium (0.80), advanced (0.50) |
|