GIS Modeling of Soil Loss to Enhance Watershed Management Strategies

 

Brendan Belby

belby@uiuc.edu

Department of Geography, Geographic Modeling Systems Laboratory, University of Illinois at Urbana-Champaign

http://www.ucgis.org/oregon/papers/belby.htm

 

Introduction

 

The Pilot Watershed Program supported through the State of Illinois involves the interaction of multiple natural resource agencies with the purpose of supporting community efforts at sustainable landuse management of their watersheds.  Court Creek is one of four watersheds in Illinois selected for the Pilot Watershed Program.  Each pilot is paired with a “reference” watershed of similar landuse, hydrology, geology, and physical stream characteristics.  The reference watershed for Court Creek is Haw Creek, also located in Knox County, Illinois (Figure 1). Court Creek will be the object of extensive Best Management Practice (BMP) implementation whereas the reference, Haw Creek, will receive minimal attention – allowing for a comparison of effectiveness at reducing levels of soil loss from the watersheds.  The Geographic Modeling Systems Laboratory at the University of Illinois at Urbana-Champaign is conducting computational research to investigate improved methods of identifying spatial patterns of soil loss that will enable the watershed community to better predict the effect of various landuse alternatives with the goal of reducing soil erosion. 

 

Digital Elevation Models from the USGS, at both 30m and 10m resolution, and Landsat satellite imagery serve as the base of the erosion analysis.  A combination of GRASS5.0 and ARC/INFO software is being utilized in an innovative new modeling approach, the Modified 3D Universal Soil Loss Equation (USLE) with a new Length Slope factor based on upslope area and flow convergence (Mitasova et al. 1998).  Traditional approches to landscape scale erosion modeling have been based on the watershed/subwatershed hydrologic and sediment transport, for example, ISWSBL (Borah 1999), a model that applies a homogenous value for a USLE variable throughout the entire hydrologic unit to compute average soil loss values.  For example, if row crops are the dominant land cover for a particular unit, the entire area will be classified with this variable, regardless of additional landuses present.  The new approach is a distributed modeling of erosion by overland flow.  This method takes advantage of floating-point raster data to limit the generalizations of the older model and enable site-specific analysis throughout the entire watershed at various scales.  A multiscale approach enables digital landscape characterization and visualization of the Court Creek Watershed at a hierarchy of scales: landscape/watershed (50-30m), subwatershed (10-5m), and a complex field (1m).  Erosion risk analysis at varying scales will identify potential sediment sources and sinks throughout the watershed, and enable watershed managers, from the local farmer to State and Federal agencies, to make scientifically informed decisions as to the most effective and efficient approach for sustainable watershed management.

 

Methodology

 

The Modified 3D RUSLE method was utilized to determine levels of soil loss throughout Court Creek Watershed, in Knox County, Illinois.  It is an adaptation of the original USLE, an empirical equation designed for the computation of average soil loss in agricultural fields. This equation was developed for detachment capacity limited erosion in fields with negligible curvature and no deposition and represents soil loss averaged over time and total area. The equation has the following form (Wischmeier and Smith 1978, Renard et al. 1991),

 

E = R K L S C P

 

where E [ton/(acre.year)] is the average soil loss, R [hundreds of ft.tonsf.in/acre.hr.year] is the rainfall intensity factor, K [tons per acre per unit R] is the soil factor, LS [dimensionless] is the topographic (length-slope) factor, C [dimensionless] is the cover factor and P[dimensionless] is the prevention practices factor. Various modifications of this equation are often applied to the estimation of soil loss using GIS (Warren et al. 1989). Revised USLE - RUSLE uses the same empirical principles as USLE, however it includes numerous improvements, such as monthly factors, incorporation of the influence of profile convexity/concavity using segmentation of irregular slopes, and improved empirical equations for the computation of LS factor (Foster and Wischmeier 1974, Renard et al. 1991).

 

LS factor modified for complex terrain

 

To incorporate the impact of flow convergence, the hillslope length factor was replaced by upslope contributing area A (Moore and Burch 1986, Mitasova et al. 1995, 1996, Desmet and Govers 1996). The modified equation for computation of the LS factor in GIS in finite difference form for erosion in a grid cell representing a hillslope segment was derived by Desmet and Govers (1996). A simpler, continuous form of equation for computation of the LS factor at a point r=(x,y) on a hillslope (Mitasova et al. 1996), is

 

LS(r)  =  (m+1)  [ A(r) / a0 ] [ sin b(r) / b0 ]n

 

where A[m]  is upslope contributing area per unit contour width, b [deg] is the slope, m and n are parameters, and a = 22.1m = 72.6ft  is the length and b0 = 0.09 = 9% = 5.16deg is the slope of the

standard USLE plot. This modification better reflects the impact of concentrated flow on increased erosion. It has been shown that the values of m=0.6, n=1.3 give results consistent with the RUSLE LS factor for slope lengths <100m and slope angles <14 deg (Moore and Wilson 1992), for slopes with negligible tangential curvature. Exponents m and n can be calibrated if the data are available for a specific prevailing type of flow and soil conditions.

 

Both the standard and modified equations can be properly applied only to areas experiencing net erosion. Depositional areas should be excluded from the study area because the model assumes that transport capacity exceeds detachment capacity everywhere and erosion and sediment transport is detachment capacity limited. Therefore, direct application of USLE/RUSLE to complex terrain within GIS is rather restricted. In case that the RUSLE is applied without excluding the depositional areas, the results should be interpreted as an extreme case with maximum spatial extent of erosion possible, or as a map of soil detachment, rather than net erosion.

 

Digital Elevation Models (DEMs)

 

The initial step in the calculation of soil loss was the download and preparation of 1:24,000 scale DEMs.  The USGS website http://edc.usgs.gov/doc/edchome/ndcdb/ndcdb.html offers free downloadable DEMs for the entire United States.  After decompressing and converting the files from USGS format to ASCII grids, they were imported into ARC/INFO, whereupon the 6 DEMs that cover the Court Creek Watershed were merged into one file in ARC-GRID.  Since this research is focusing on modeling hillslope erosion, the sinks in the DEM were not filled to form a depressionless file.  By not filling in the sinks, water flow stops in the model when it reaches areas of flat terrain, and will not continue on toward the stream channels.  This method gives a more accurate representation of hillslope processes within the watershed. A polygon boundary coverage of the Court Creek Watershed was used to clip the merged file, producing an output DEM of the watershed itself.   The horizontal resolution of the DEM is 30m and the vertical is 1m (Figure 16). This DEM was exported into GRASS5.0 and reinterpolated to an enhanced 20m resolution, using the following procedure.

 

The command g.region was used to set the resolution and map extent to the clipped file, and a MASK was generated in GRASS so that all subsequent analysis would be confined to within the boundary of Court Creek Watershed.  A sites elevation file was created from the 30m DEM using the command r.random.  The program allows the user to create a raster map layer and a site list file containing geographic coordinates of points whose locations have been randomly determined. After creating a sites file, the program s.surf.rst - interpolation and topographic analysis from given site data to GRASS floating point raster format using regularized spline with tension (GRASS Site Program) - was utilized to smooth out the vertical resolution from meters to centimeters, and increase the horizontal resolution to 20m.  Figure 2 is a 3D image of the DEM for the Court Creek Watershed.

 

Calculation of Soil Erosion Risk

 

Flow accumulation for the watershed was calculated with the r.flow command (Figure 3).  The DEM serves as the input file, and one of the options is used to generate flowline densities (which are equal upslope contributing areas per unit width, when multiplied by resolution).  The value in each grid cell is the number of flowlines which pass through that grid cell, that means the number of flowlines from the entire map which have segment endpoints within that cell. Next, slope values in decimal degrees were calculated from the input DEM file using the command r.slope.aspect (Figure 4).

 

With the creation of flow accumulation and slope files, it was possible to compute the length slope factor, as previously discussed, for Court Creek Watershed, using the r.mapcalc (Grass raster program) (Figure 5).

 

r.mapcalc length-slope = “1.6*exp(flow accumulation*resolution/22.1,0.6)*exp(sin(slope)/0.09,1.3)”

 

Since the resolution of the DEM is 20m, a value of 20 was used for resolution in the command.

 

Soil loss was calculated within r.mapcalc using the following syntax:

 

r.mapcalc soilloss=R*K*C*P*length-slope

 

- R = rainfall energy factor. The product of rainfall energy and maximum 30 minute intensity divided by 100. An average annual R value of 150 is appropriate for the Court Creek Watershed region (Haan, et al. 1994).

- K = soil erodibility factor. Measures the soil’s resistance to the erosive powers of rainfall energy and runoff. A value of 0.3 was used for the study area (Haan, et al. 1994).

- C = land cover factor.  Accounts for the effects of cover above the ground, ground cover, root mass, incorporated residue, surface roughness, and soil moisture on soil erosion.  A landuse map derived from Landsat satellite imagery served as the basis for determining the C-Factor values. Table 1 lists the C-factor values for the landuses categories. Figure 6 is the landuse for Court Creek Watershed, and Figure 7 displays the C-Factors derived from the Landsat imagery (Haan, et al. 1994).

 

Cover Factor
Landuse Value
Category

0.0

0

other

0.0001

13, 15

dense forest

0.001

14

open forest

0.003

11, 12

grass

0.01

10

orchards

0.3

9

small grains

0.5

8

row crops

                

 

 

 

 

 

 

 

 

                             Table 1

 

- P = prevention practice factor.  The ratio of soil loss from any conservation support practice to that with up- and downslope tillage.  No information on conservation practices is currently available from landuse maps, so a value of 1 was assigned, assuming no preventative measures were undertaken.

- Length-Slope Factor (Figure 8).

 

3D Imagery of Soil Loss Models

 

The 3D visualization program SG3D within GRASS was utilized to generate images of levels of soil erosion for the entire Court Creek Watershed.  Figure 9 is an overview of the entire watershed, followed by three additional zoomed in images at a smaller scale - Figure 10, Figure 11, and Figure 12.

 

Implications of Research into GIS Modeling of Soil Loss – Alternative Conservation Strategies

 

Ongoing research into improved GIS modeling of soil loss with more powerful predictive capabilities ultimately aims to provide the watershed community with increased information to make informed management decisions.  The Court Creek Watershed is a sub-watershed of the Illinois River with the majority of its land in agriculture.  In a determined effort to reduce the sedimentation problem of the Illinois River and improve water quality, the State of Illinois formed a partnership with the federal government in March of 1998 and formed the Illinois Conservation Reserve Enhancement Program (CREP).  Over $500 million dollars has been budgeted to lease riparian agriculture land from private landowners and take it out of production.  Two major objectives of CREP are to reduce sediment loading of the Illinois River by 20 percent and nitrate loading by 10 percent. Guidelines currently state that only riparian land within 300 feet of a stream are eligible for the CREP program. Although the creation of riparian buffers will very likely have a positive impact on reducing soil transport into the Illinois River, it is not known whether this is the most effective and efficient approach. Buffers may prevent the soil from entering the river, but do not treat the problem of soil erosion at its source.  With so much money being allocated to the program, it is vital to determine the best approach for spending it. The GMS Laboratory has been modeling different landuse alternatives within the Court Creek Watershed to assist in determining what the best strategy may be at reducing soil loss.

 

Through a series of computations using map algebra in ARC-GRID, tables have been generated that describe what the effects of various conservation strategies will be.  In each scenario, a new C-Factor map was created with updated values.  All land taken out of production was replaced with a C-Factor value of 0.001, which corresponds to open forest.  Any land that met the criteria to be taken out of production, but already had a C-Factor of 0.001 or less, retained its current value.  For instance, a model was run according to the CREP guidelines of all land within 300 feet of streams be converted to open forest.  If a parcel of dense forest exists within this buffer, it will remain so.  Changing it to open forest would have led to increased soil erosion.  New soil erosion risk maps were created by rerunning the model with the updated C-Factors.  The tables show total acres and percent of land cover for each category within the Court Creek Watershed and were produced with the r.report command in GRASS5.0.

 

Under present conditions, 63 percent of the land in the watershed is classified as stable, while 24 percent is at a level of high erosion or greater.  Row crops are the dominant landuse at 39 percent (24,181 acres) and dense and open forest comprise 26 percent of the cover (Table 2, Figure 9).  When the 300 feet buffers of the CREP program were modeled, only a minimal reduction in higher levels of soil erosion resulted with an increase of stability by 3 percent.  A two percent reduction in row crops was necessary to accomplish this (Table 3, Figure 13).  If all land with slopes greater than 5 degrees were to be replaced with open forest, a slight reduction in extreme erosion was obtained – from 3.33 to 1.73 percent (Table 4, Figure 14).  Stability increased by 1,842 acres.  Grasses and small grains were affected the greatest with this strategy.  Land that met the criteria of having slopes greater than 5 degrees and was within 300 feet of a stream displayed nearly identical results as the previous query (Table 5).

 

Instead of removing all land within 300 feet of a stream from production, a scenario was tested of only land within the buffer strip that also had a soil erosion risk factor greater than 10 (high).  Interestingly, this produced results very similar to all land within 300 feet, indicating that significant areas of higher levels of erosion are not located in riparian areas, and thus will not experience reductions in soil loss from the creation of buffer strips (Table 6).  A final query was run which converted all land throughout the Court Creek Watershed with a soil erosion risk level greater than 10 into open forest, unless it already had a lower C-Factor.  This management technique had the greatest impact on lowering soil loss.  Stable land cover increased from 63 to 80 percent, an increase of 10,187 acres.  Such a large decrease in soil erosion would come at the expense of agricultural land. Row crops would need to be reduced by 7,358 acres (11.8 percent) (Table 7, Figure 15). 

 

Research with GIS modeling has shown that the highest areas of soil erosion predicted by the model are located between the upland areas and the stream buffers.  This information is being relayed to other scientists and watershed managers so that the most effective Best Management Practices will be implemented.  It may be the case that CREP needs to re-evaluate its guidelines for qualification of funding if resources spent elsewhere in a different strategy will yield better results.

 

10m DEM Analysis

 

When modeling soil loss within a GIS framework, much of the power and accuracy in predictive capabilities rests in the quality of the data.  Initial models have relied on 30m DEMs - reinterpolated to 20m, and 30m resolution Landsat imagery.  The GMS Laboratory has recently acquired 10m DEMs from the USGS and 10m satellite imagery of landuse.  Preliminary analysis and modeling with this higher resolution data has produced excellent results.  Distributed modeling of erosion by overland flow using 10m floating point raster data significantly increases the detail and level to which soil loss can be predicted.  With the increased resolution, flowline densities improve.  Areas that are displayed as overland flow in 30m data exhibit channel formation with the new 10m DEMs.  The three following figures are used as a comparison between different resolution data mapping flowline densities.

 

Figure 16  - 30m DEM, meter vertical resolution

Figure 17  - 20m reinterpolated DEM, centimeter vertical resolution

Figure 18  - 10m DEM, decimeter vertical resolution

 

Conclusion

 

The presented study focused on spatial distribution of soil detachment by overland flow has shown that the current CREP criteria do not address the reduction of sediment sources.  Riparian buffers may prevent sediment from reaching the stream, but new management techniques will need to be undertaken if total soil loss is to be reduced from upland areas.  The GMS Laboratory at the University of Illinois at Urbana-Champaign is continuing with research into better methods of GIS modeling of soil loss.  As higher quality data is obtained and procedures are modified, the results from these computations will only improve.  Results are being compared with other researchers with the intention of making adjustments that will allow the watershed community to make scientifically informed decisions as to the best conservation strategies to implement.  Some limitations have yet to be overcome.  In this study we have focused only on soil detachment by overland flow.  Future modeling will evaluate the capacity of landscapes with buffers to deposit the detached soil and provide estimates of net erosion/deposition and sediment delivery to streams.  Better estimates of prevention practice factors already in place throughout Court Creek Watershed need to be included into the model, and additional on-site field reconnaissance should be undertaken to calibrate the models.  It is the eventual goal that local farmers will be able to compute for themselves at the field level areas on their property most prone to soil erosion.

 

Acknowledgments

 

Helena Mitasova, William M. Brown

Geographic Modeling Systems Laboratory, University of Illinois at Urbana-Champaign

 

Endnotes

 

GMS Laboratory – Erosion Modeling Web Page  http://www2.gis.uiuc.edu:2280/modviz//

GRASS5.0 website  http://www.baylor.edu/~grass/grass5/index.html

Due to their large file size, images contained in this paper are located on the GMS web server.

 

References

 

Borah, D. K., and Bera, M., Hydrologic Modeling of the Court Creek Watershed – ISWS Contract Report 2000-04. Published by the Illinois State Water Survey, Champaign, Illinois.

 

Desmet, P. J. J., and G. Govers, A GIS procedure for automatically calculating the USLE LS factor on topographically complex landscape units, J. Soil and Water Cons., 51(5), 427-433, 1996.

 

Foster, G.R., and Wischmeier, W.H.,1974, Evaluating irregular slopes for soil loss prediction. Transactions of the ASAE, 12, 305-309.

 

Haan, C. T., B. J. Barfield, and J. C. Hayes, 1994, Design Hydrology and Sedimentology for Small Catchments, pp. 242-243, Academic Press.

 

Mitasova, H., Mitas, L., Brown, W. M., Johnston, D., 1998, Multidimensional Soil Erosion/deposition Modeling and visualization using GIS. Final report for USA CERL. University of Illinois, Urbana-Champaign, IL.

 

Mitasova, H., J. Hofierka, M. Zlocha, and R. L. Iverson, 1996a, Modeling topographic potential for erosion and deposition using GIS,Int. Journal of Geographical Information Science, 10(5), 629-641.
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Moore I.D., and Burch G.J., 1986b, Modeling erosion and deposition: Topographic effects. Transactions ASAE, 29, 1624-1640.

Moore, I.D., and Wilson, J.P., 1992, Length-slope factors for the Revised Universal Soil Loss Equation: Simplified method of estimation. Journal of Soil and Water Conservation, 47, 423-428.

Renard G.K., Foster G.R., Weesies G.A., Porter J.P., 1991, RUSLE - Revised universal soil loss equation. Journal of Soil and Water Conservation, v. 46, p.30-33.

 

Warren, S.D., Diersing, V.E., Thompson, P.J., and Goran, W.D., 1989, An erosion-based land classification system for military installations. Environmental Management, 13, 251-257.

 

Wischmeier, W.H., and Smith, D.D., 1978, Predicting rainfall erosion losses, a guide to conservation planning. Agriculture Handbook No. 537, US Department of Agriculture, Washington D.C.