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Appendix C: Revised Universal Soil Loss Equation (RUSLE ...

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<strong>Appendix</strong> C: <strong>Revised</strong> <strong>Universal</strong> <strong>Soil</strong><br />

<strong>Loss</strong> <strong>Equation</strong> (<strong>RUSLE</strong>) Modeling<br />

The <strong>Revised</strong> <strong>Universal</strong> <strong>Soil</strong> <strong>Loss</strong><br />

<strong>Equation</strong> (<strong>RUSLE</strong>) was used to model<br />

erosion potential. <strong>RUSLE</strong> computes<br />

average annual erosion from field<br />

slopes as (Renard, 1997):<br />

Where:<br />

A = R*K*L*S*C*P<br />

A = computed average annual soil loss<br />

in tons/acre/year.<br />

R = rainfall-runoff erosivity factor<br />

K = soil erodibility factor<br />

L = slope length factor<br />

S = slope steepness factor<br />

C = cover-management factor<br />

P = Conservation Practice<br />

The modeling was conducted in the<br />

ArcInfo Grid environment using Van<br />

Remortel’s (2004) <strong>Soil</strong> & Landform<br />

Metrics program. This is a series of Arc<br />

Macro Language (AML) programs and<br />

C++ executables that are run<br />

sequentially to prepare the data and<br />

run the <strong>RUSLE</strong> model. A 30-meter cell<br />

size was used to correspond to the<br />

requirements of the program.<br />

All of the required input spatial data<br />

layers were converted to the projection<br />

required by the program (USGS Albers<br />

NAD83) and placed in the appropriate<br />

directories. The input data layers<br />

include:<br />

• USGS Digital Elevation Model<br />

(DEM). The DEM was modified by<br />

multiplying it by 100 and<br />

converting it to an integer grid as<br />

prescribed by the program.<br />

• Master watershed boundary grid<br />

(created from USGS DEM).<br />

• National Land Cover Dataset<br />

(NLCD) land cover grid.<br />

• Land mask grid for open waters,<br />

such as oceans or bays, derived<br />

from the NLCD land cover data.<br />

No oceans or bays are present in<br />

this watershed, so no cells were<br />

masked.<br />

The first component AML of the<br />

program sets up the ‘master’ soil and<br />

landform spatial datasets for the study<br />

area. This includes extracting the<br />

STATSGO soil map and attributes as<br />

well as the R, C, and P factors, from<br />

datasets that come with the program.<br />

The R-factor is rainfall-runoff erosivity,<br />

or the potential of rainfall-runoff to<br />

cause erosion. The C-factor considers<br />

the type of cover or land management<br />

on the land surface. The P-factor looks<br />

at conservation practices, such as<br />

conservation tillage.<br />

Additionally, a stream network is<br />

delineated from the DEM using a user<br />

specified threshold for contributing<br />

area. A threshold of 500 30x30 meter<br />

cells was specified as the contributing<br />

area for stream delineation. This<br />

number was chosen based on<br />

consultation with the program author.<br />

The AML also created the K factor grid.<br />

The K factor considers how susceptible<br />

a soil type is to erosion.<br />

The second component AML sets up<br />

additional directory structures for any<br />

defined subwatersheds. In this use of<br />

the model the entire Upper Gila<br />

watershed was done as a single unit.<br />

Middle and Lower San Pedro River Watershed<br />

C-1<br />

<strong>Appendix</strong> C: <strong>RUSLE</strong> Model


The third component AML iteratively<br />

computes a set of soil parameters<br />

derived from the National Resource<br />

Conservation Service’s State <strong>Soil</strong><br />

Geographic (STATSGO) Dataset.<br />

The fourth component AML calculates<br />

the LS factor according to the <strong>RUSLE</strong><br />

criteria using DEM-based elevation and<br />

flow path. The L and S factors take<br />

into account hill slope length and hill<br />

slope steepness.<br />

The fifth component AML runs <strong>RUSLE</strong><br />

and outputs R, K, LS, C, P factor grids<br />

and an A value grid that contains the<br />

modeled estimate of erosion in<br />

tons/acre/year for each cell.<br />

References:<br />

Renard, K.G., G.R. Foster, G.A. Weesies, D.K. McCool, and D.C. Yoder. 1997.<br />

Predicting <strong>Soil</strong> Erosion by Water: A Guide to Conservation Planning with the<br />

<strong>Revised</strong> <strong>Universal</strong> <strong>Soil</strong> <strong>Loss</strong> <strong>Equation</strong> (<strong>RUSLE</strong>). United States Department of<br />

Agriculture, Agriculture Handbook No. 703. USDA, Washington D.C.<br />

Van Remortel, R. 2004. <strong>Soil</strong> & Landform Metrics: Programs and U.S. Geodatasets<br />

Version 1.1. Environmental Protection Agency. Las Vegas, NV.<br />

Data Sources*:<br />

U.S. Department of Agriculture, Natural Resources Conservation Service.<br />

Major Land Resource Area Map, National Land Cover Dataset (NLCD). July 15,<br />

2003. ftp-fc.sc.egov.usda.gov/NHQ/pub/land/arc_export/us48mlra.e00.zip<br />

State <strong>Soil</strong>s Geographic (STATSGO) Dataset. April 17, 2003.<br />

http://www.ncgc.nrcs.usda.gov/branch/ssb/products/statsgo/<br />

U.S. Geological Survey.<br />

National Elevation Dataset 30-Meter Digital Elevation Models (DEMs). April 8,<br />

2003. http://gisdata.usgs.net/NED/default.asp<br />

*Note: Dates for each data set refer to when data was downloaded from the website. Metadata<br />

(information about how and when the GIS data were created) is available from the website in<br />

most cases. Metadata includes the original source of the data, when it was created, its<br />

geographic projection and scale, the name(s) of the contact person and/or organization, and<br />

general description of the data.<br />

Middle and Lower San Pedro River Watershed<br />

C-2<br />

<strong>Appendix</strong> C: <strong>RUSLE</strong> Model

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