Topographic potential for soil detachment

and erosion/deposition

HELENA MITASOVA, LUBOS MITAS
University of Illinois at Urbana-Champaign

Supported by the SERDP project: "Terrain Modeling and Soil Erosion Simulation".

1. Test data

We illustrate the estimation of topographic potential for erosion and deposition using the elevation data provided at 30m horizontal resolution and 1m vertical resolution , for the following subarea of a selected installation

2. Topographic potential for erosion/deposition from the original 30m DEM

Soil detachment by water flow in complex terrain can be estimated as a function of erodibility, water flow rate and slope. This index is also sometimes used as a modified LS factor for computation of erosion risk based on USLE/RUSLE (Mitasova et al. 1997). Topographic potential for net erosion and deposition is estimated by the USPED model (Mitasova et al. 1996). Even with rather crude elevation data, it is possible to identify the areas with high topographic risk for soil detachment and erosion/deposition, as illustrated by the following sequence of maps showing the intermediate steps and results of computations (click on images to see full size picture):

original 30m DEM

slope from the original DEM. Note the impact of plateaus in low elevation areas on the slope pattern (artificial steeper slopes along 1m contours), highlighted by red arrows. These plateaus are due to the insufficient vertical resolution of 1m.

upslope contributing area as a measure of steady state water flow computed from the original 30m DEM by r.flow. Pits and pleateaus in the DEM cause problems in flowtracing with almost no flow generated in lower elevation areas and disrupted flow in valleys.

modified LS factor predicts well some areas of high potential for soil detachment, especially in hilly parts of the region. However, it does not predict the location of areas with concentrated flow with high potential for rilling and gully formation . Also, in lower elevation areas the artificial pattern of increased erosion is preedicted along 1m contours.

net erosion/deposition map computed by the USPED model predicts high net erosion in hilly regions and on slopes along the streams. It also shows that a significant portion of the material eroded from hillslopes is deposited before it could reach the main streams. However, this map lacks the prediction of high erosion due to concentrated flow in valleys and shows artificial waves of erosion and deposition along the 1m contours in flatter areas.

3. Topographic potential for soil detachment and net erosion/deposition estimated from the DEM processed by the Regularized Smoothing Spline with Tension (RST)

The given DEM was reinterpolated to 10m horizontal and 0.01m vertical resolution using the RST method (Mitasova et al. 1995, Mitas and Mitasova, in press). Simultaneously with interpolation, maps of slope, aspect, profile and tangential curvatures were generated (click on images to get a full size picture):

Note, that in the slope map the artificial pattern of steeper slopes along 1m contours disappeared.

steady state water flow computed by r.flow from the smoothed 10m DEM shows potential for channel formation in valleys and predicts water flow also in low elevation region. Flow in the two main streams is not adequatelly described because of lack of data, but it can be incorporated if stream data are available.

modified LS factors computed from the 10m DEM using different exponents for the water flow term (p=0.6 and p=1.5). Value of this exponent is still a subject of research and discussion in erosion research community. The first result puts more weight on the influence of slope while the second result puts more weight on the influence of water flow. Because the exponent depends on the conditions of water flow in a particular area it should be calibrated. For this area, if you know the situation there, the map which is closer to the observed pattern should be used.

topographic potential for net erosion/deposition computed from the 10m DEM using the USPED model (Mitasova et al. 1996). Similarly as for the result of 30m DEM, the model shows high erosion in hilly area and along main streams and deposition in concave areas. It also indicates high erosion in areas with concentrated flow which could reach the main streams. The artificial pattern of erosion/deposition along contours is not present.

Impact of soil and cover will be incorporated when the land use/cover/soil categories or at least a rough estimate of C-factor are available.

Estimation of net erosion deposition by process based distributed model SIMWE can be performed after we get data on land cover.

References

Mitasova, H., J. Hofierka, M. Zlocha, and R. L. Iverson, 1996, Modeling topographic potential for erosion and deposition using GIS, Int. Journal of Geographical Information Science, 10(5), 629-641.

Mitasova, H., J. Hofierka, M. Zlocha, and R. L. Iverson, 1997, Reply to a comment. Int. Journal of Geographical Information Science, Vol. 11, No. 6

Mitas, L., Mitasova, H., 1997, Spatial Interpolation. In: P.Longley, M.F. Goodchild, D.J. Maguire, D.W.Rhind (Eds.), Geographical Information Systems: Principles, Techniques, Management and Applications (in press).

Mitasova, H., Mitas, L., Brown, W.M., Gerdes, D.P., Kosinovsky, I., 1995, Modeling spatially and temporally distributed phenomena: New methods and tools for GRASS GIS. International Journal of GIS, 9 (4), special issue on integration of Environmental modeling and GIS, p. 443-446.


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