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Soil Erosion
Estimation using
USLE Model in
ArcGIS Pro
Universal Soil Loss Equation (USLE)
โ€ข USLE was developed by Wischmeier and Smith in 1950s.
โ€ข USLE estimates the long-term average annual rate of erosion on a field slope based
on rainfall pattern, soil type, topography, crop system and management practices
(OMAFRA,2012).
โ€ข A= R * K * LS * C * P
โ€ข Where, A is the average annual soil loss (tons ha-1year-1),
R is the rainfall erosivity (MJmm ha-1 h-1 year-1),
K is the soil erodibility factor (tons ha-1 R unit-1),
LS is the topographic factor (dimensionless),
C is the cropping management factors (dimensionless),
P is the practice support factor (dimensionless)
Rainfall Erosivity (R)
โ€ข Rainfall erosivity is the kinetic energy of raindropโ€™s impact and the rate of associated
runoff.
โ€ข Data source: Global Rainfall Erosivity (https://esdac.jrc.ec.europa.eu/content/global-
rainfall-erosivity)
โ€ข Spatial coverage: World
โ€ข Pixel size: 30 arc-seconds (~ 1 km at the equator)
โ€ข Limitation: It can overestimate the soil erosion.
Soil Erodibility (K)
โ€ข Soil erodibility represents the effect of soil properties and soil profile characteristics
on soil loss.
โ€ข Data source: Harmonized World Soil Database v 1.2
(https://webarchive.iiasa.ac.at/Research/LUC/External-World-soil-database/HTML/)
โ€ข Spatial coverage: World
โ€ข Pixel size: 30 arc-seconds (~ 1 km at the equator)
โ€ข Limitation: It can overestimate the soil erosion.
Roose (1996)
Note that the table in the guide accounts
for % organic matter (OM), not just
organic carbon (OC). If we do not know
the conversion value for the area, the
value OC is multiplied by 1.72 to get OM.
OM=1.72*OC
The references for conversion factors are
given in IPCC-AFOLU report 2006.
Universal Soil Loss Equation (USLE)
โ€ข USLE was developed by Wischmeier and Smith in 1950s.
โ€ข USLE estimates the long-term average annual rate of erosion on a field slope based
on rainfall pattern, soil type, topography, crop system and management practices
(OMAFRA,2012).
โ€ข A= R * K * LS * C * P
โ€ข Where, A is the average annual soil loss (tons ha-1year-1),
R is the rainfall erosivity (MJmm ha-1 h year),
K is the soil erodibility factor (tons ha-1 R unit-1),
LS is the topographic factor (dimensionless),
C is the cropping management factors (dimensionless),
P is the practice support factor (dimensionless)
Topographic factor (LS)
โ€ข Topographic factors LS consist of slope length L and slope steepness S.
โ€ข Increase in the slope length L causes increase in erosion due to a progressive
accumulation of runoff in the direction of downslope.
โ€ข Increase in slope steepness factor S increase the soil erosion as a result of increasing
velocity.
L = [(FA * cell size)/22.13]m (Moore and Wilson, 1992)
โ€ข where, FA is flow accumulation, cell size is the size of DEM and m ranges from 0.2-0.6.
โ€ข S = [(sinฮฒ * 0.01745)/0.09]n
โ€ข where, ฮฒ is slope angle in percentage, n ranges from 1.0 -1.3.
โ€ข LS = (L * S)/100
โ€ข DEM data source: SRTM (30 m) (https://dwtkns.com/srtm30m/)
Formula to use in raster calculator
โ€ข Power((FA*30)/22.13,0.5)
โ€ข Power((Sin(slpe% *0.01745)/0.09,1.3)
Crop /vegetation and management factor (C)
โ€ข Used to determine the relative effectiveness of soil and crop management systems in
preventing soil loss.
โ€ข Value can be assigned for different landcover classes from look-up table in literatures.
โ€ข Landcover data source: Sentinel-2 Land Use/Land Cover (10 m)
(https://www.arcgis.com/apps/instant/media/index.html?appid=fc92d38533d440078f1
7678ebc20e8e2)
Support practice factor (P)
โ€ข It reflects the effects of practices that will reduce the amount and rate of the water
runoff and thus reduce the amount of erosion.
โ€ข Values are obtained from literatures based on the farmers practices.
โ€ข For easy interpretation, we can used 1 irrespective of landcover classes.
โ€ข ESRI 2020 LULC map with 10 classes
LULC class
number
Class name C value
1 Water 0
2 Trees 0.025
3 Grass 0.02
4 Flooded
Vegetation
1
5 Crops 0.05
6 Shrubs 0.4
7 Built Area 1
8 Bare ground 1
9 Snow/Ice 0
10 Clouds 0
Several references on estimating these factors can be
found online:
โ€ข USLE Fact Sheet
http://www.omafra.gov.on.ca/english/engineer/fa
cts/12-051.htm
โ€ข U.N. Food and Agriculture Organization
http://www.fao.org/docrep/T1765E/t1765e0c.htm
โ€ข RUSLE handbook (Renard et al., 1997)
Classification threshold might vary with countries
Recommendations
โ€ข
โ€ข
โ€ข
โ€ข Supporting links:
โ€ข https://www.researchgate.net/publication/322371635_Integrated_universal_soil_loss_
equation_USLE_and_Geographical_Information_System_GIS_for_soil_erosion_estim
ation_in_A_Sap_basin_Central_Vietnam
โ€ข https://www.researchgate.net/publication/325402279_Estimation_of_Slope_Length_fa
ctor_L_and_Slope_Steepness_Factor_S_of_RUSLE_equation_in_the_Euphrates_River
_Watershed_by_GIS

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Soil Loss_GeoDev.pdf

  • 2. Universal Soil Loss Equation (USLE) โ€ข USLE was developed by Wischmeier and Smith in 1950s. โ€ข USLE estimates the long-term average annual rate of erosion on a field slope based on rainfall pattern, soil type, topography, crop system and management practices (OMAFRA,2012). โ€ข A= R * K * LS * C * P โ€ข Where, A is the average annual soil loss (tons ha-1year-1), R is the rainfall erosivity (MJmm ha-1 h-1 year-1), K is the soil erodibility factor (tons ha-1 R unit-1), LS is the topographic factor (dimensionless), C is the cropping management factors (dimensionless), P is the practice support factor (dimensionless)
  • 3. Rainfall Erosivity (R) โ€ข Rainfall erosivity is the kinetic energy of raindropโ€™s impact and the rate of associated runoff. โ€ข Data source: Global Rainfall Erosivity (https://esdac.jrc.ec.europa.eu/content/global- rainfall-erosivity) โ€ข Spatial coverage: World โ€ข Pixel size: 30 arc-seconds (~ 1 km at the equator) โ€ข Limitation: It can overestimate the soil erosion.
  • 4. Soil Erodibility (K) โ€ข Soil erodibility represents the effect of soil properties and soil profile characteristics on soil loss. โ€ข Data source: Harmonized World Soil Database v 1.2 (https://webarchive.iiasa.ac.at/Research/LUC/External-World-soil-database/HTML/) โ€ข Spatial coverage: World โ€ข Pixel size: 30 arc-seconds (~ 1 km at the equator) โ€ข Limitation: It can overestimate the soil erosion.
  • 5. Roose (1996) Note that the table in the guide accounts for % organic matter (OM), not just organic carbon (OC). If we do not know the conversion value for the area, the value OC is multiplied by 1.72 to get OM. OM=1.72*OC The references for conversion factors are given in IPCC-AFOLU report 2006.
  • 6. Universal Soil Loss Equation (USLE) โ€ข USLE was developed by Wischmeier and Smith in 1950s. โ€ข USLE estimates the long-term average annual rate of erosion on a field slope based on rainfall pattern, soil type, topography, crop system and management practices (OMAFRA,2012). โ€ข A= R * K * LS * C * P โ€ข Where, A is the average annual soil loss (tons ha-1year-1), R is the rainfall erosivity (MJmm ha-1 h year), K is the soil erodibility factor (tons ha-1 R unit-1), LS is the topographic factor (dimensionless), C is the cropping management factors (dimensionless), P is the practice support factor (dimensionless)
  • 7. Topographic factor (LS) โ€ข Topographic factors LS consist of slope length L and slope steepness S. โ€ข Increase in the slope length L causes increase in erosion due to a progressive accumulation of runoff in the direction of downslope. โ€ข Increase in slope steepness factor S increase the soil erosion as a result of increasing velocity. L = [(FA * cell size)/22.13]m (Moore and Wilson, 1992) โ€ข where, FA is flow accumulation, cell size is the size of DEM and m ranges from 0.2-0.6. โ€ข S = [(sinฮฒ * 0.01745)/0.09]n โ€ข where, ฮฒ is slope angle in percentage, n ranges from 1.0 -1.3. โ€ข LS = (L * S)/100 โ€ข DEM data source: SRTM (30 m) (https://dwtkns.com/srtm30m/)
  • 8. Formula to use in raster calculator โ€ข Power((FA*30)/22.13,0.5) โ€ข Power((Sin(slpe% *0.01745)/0.09,1.3)
  • 9. Crop /vegetation and management factor (C) โ€ข Used to determine the relative effectiveness of soil and crop management systems in preventing soil loss. โ€ข Value can be assigned for different landcover classes from look-up table in literatures. โ€ข Landcover data source: Sentinel-2 Land Use/Land Cover (10 m) (https://www.arcgis.com/apps/instant/media/index.html?appid=fc92d38533d440078f1 7678ebc20e8e2) Support practice factor (P) โ€ข It reflects the effects of practices that will reduce the amount and rate of the water runoff and thus reduce the amount of erosion. โ€ข Values are obtained from literatures based on the farmers practices. โ€ข For easy interpretation, we can used 1 irrespective of landcover classes.
  • 10. โ€ข ESRI 2020 LULC map with 10 classes LULC class number Class name C value 1 Water 0 2 Trees 0.025 3 Grass 0.02 4 Flooded Vegetation 1 5 Crops 0.05 6 Shrubs 0.4 7 Built Area 1 8 Bare ground 1 9 Snow/Ice 0 10 Clouds 0 Several references on estimating these factors can be found online: โ€ข USLE Fact Sheet http://www.omafra.gov.on.ca/english/engineer/fa cts/12-051.htm โ€ข U.N. Food and Agriculture Organization http://www.fao.org/docrep/T1765E/t1765e0c.htm โ€ข RUSLE handbook (Renard et al., 1997)
  • 11. Classification threshold might vary with countries
  • 13. โ€ข Supporting links: โ€ข https://www.researchgate.net/publication/322371635_Integrated_universal_soil_loss_ equation_USLE_and_Geographical_Information_System_GIS_for_soil_erosion_estim ation_in_A_Sap_basin_Central_Vietnam โ€ข https://www.researchgate.net/publication/325402279_Estimation_of_Slope_Length_fa ctor_L_and_Slope_Steepness_Factor_S_of_RUSLE_equation_in_the_Euphrates_River _Watershed_by_GIS