# Automating the Calculation of USLE with GISus-M

## Contents

# Summary

## What is USLE

The Universal Soil Loss Equation (USLE) allows one to calculate the long-term average soil erosion rates for mainly agricultural lands. When calculating the USLE, five major factors must be taken into consideration:

A = R * K * LS * C * P

Where:

A is the potential long-term erosion rate in tonnes per hectare

R is the rainfall run off factor

K is the soil erodibility factor

LS is the slope length-gradient factor

C is the crop factor

P is the conservation practices factor

Classically, the LS factor was estimated by hand, with complex slopes being broken down into segments. However with the advent of high-resolution open source data, such as South-Western Ontario Orothophotography (SWOOP), LS factor can be calculated through computational means. SWOOP 2010 has a resolution of 20cm and a horizontal accuracy of 50cm, and as such is suitable for calculating the USLE.

## Study Area

A study area in Oxford county was selected with severe dendritic drainage apparent. No sediment control structures such as WASCoBs or grassed waterways were visibly present in the aerial photo. Within the field, there is an approximate 22 metre elevation delta, and the soil type is considered to be a sandy clay loam. As the study area is in Oxford county, the R factor is 100.

The following values are used in calculating the USLE:

R Factor | 100 |

K Factor | 0.45 |

LS Factor | To be calculated |

C Factor | 0.3 |

P Factor | Varied |

Constant rasters were created for the R, K, C, and P values for the purpose of this tutorial.

# GISus-M

GISus-M was created by the Universidade Federal do Reconcavo da Bahia, and is an add-in for ArcMap that is written in C#. To use the add-in, the user must run the ESRIADDIN file that is contained in the .rar archive. To run GISus-M in ArcMap, one must have prepared all the requisite files for calculating USLE, namely, rasters representing the R, K, LS, and C factors - the P factor is optional and can be included with the C factor.

## Calculating the LS Factor

GISus-M has a built-in tool that allows the user to calculate the LS factor of their desired DEM. For this example, the LS factor was calculated using the RUSLE model and multi-flow direction. If one wants to increase the accuracy of the LS model, one can use the Breach Depressions tool using WhiteBoxGAT.

## Calculating the C Factor

There are three main ways to calculate the C factor for processing: calculate your own NDVI, use the built-in tools to calculate NDVI, and create a raster that has the cover-crop and tillage methods for the sections of the field. For regions that mirror an European climate, using the Cvk method with an alpha of 2 and beta of 1 will give reasonable results. If running the tool in more tropical regions, use the Cr method with likewise alpha and beta values.

## Final Calculation

Once the the data is prepossessed for GISus-M to run, one selects the output raster size then run the tool. The resulting output from the tool is in GRID format, and the raster values are in tonnes per hectare per year. Due to the spatial extent of the output being in hectares, one must convert the values from hectares to whichever spatial resolution one is working at.

# References

http://www.omafra.gov.on.ca/english/engineer/facts/12-051.htm https://www2.ufrb.edu.br/gisus-m/