Universal Soil Loss Equation (USLE)
Table of Contents
- Background
- Procedure for Using the USLE
- Soil Loss Tolerance Rates
- Management Strategies to Reduce Soil Losses
- Table 1: R Factor Data
- Table 2: K Factor Data
- Table 3A: LS Factor Calculation
- Equation for Calculation of LS
- Table 3B: NN Values
- Table 4A: Crop Type Factor
- Table 4B: Tillage Method Factor
- Table 5: P Factor Data
- Table 6: Soil Loss Tolerance Rates
- Table 7: Management Strategies to Reduce Soil Losses
- Example: Calculation of Soil Erosion Using USLE
Background
The Universal Soil Loss Equation (USLE) predicts the long term average
annual rate of erosion on a field slope based on rainfall pattern, soil
type, topography, crop system and management practices. USLE only predicts
the amount of soil loss that results from sheet or rill erosion on a single
slope and does not account for additional soil losses that might occur
from gully, wind or tillage erosion. This erosion model was created for
use in selected cropping and management systems, but is also applicable
to non-agricultural conditions such as construction sites. The USLE can
be used to compare soil losses from a particular field with a specific
crop and management system to "tolerable soil loss" rates. Alternative
management and crop systems may also be evaluated to determine the adequacy
of conservation measures in farm planning.
Five major factors are used to calculate the soil loss for a given site.
Each factor is the numerical estimate of a specific condition that affects
the severity of soil erosion at a particular location. The erosion values
reflected by these factors can vary considerably due to varying weather
conditions. Therefore, the values obtained from the USLE more accurately
represent long-term averages.
A calculation of soil losses using the USLE may also be done in OMAFRA's
Nutrient Management (NMAN 2000 or upgrade) computer program, SOF001. The
soil loss value generated from the USLE equation is used to determine
the "soil erosion rating value" in the calculation of the Phosphorus
Index.
Universal Soil Loss Equation (USLE)
A =R x K x LS x C x P
A represents the potential long term average annual soil loss in tons
per acre per year. This is the amount, which is compared to the "tolerable
soil loss" limits.
R is the rainfall and runoff factor by geographic location as given in
Table 1, R Factor Data. The greater the intensity
and duration of the rain storm, the higher the erosion potential. Select
the R factor from Table 1 based on the county and
corresponding station where the calculation is to be made.
K is the soil erodibility factor. (See Table 2, K Factor
Data). It is the average soil loss in tons/acre per unit area for
a particular soil in cultivated, continuous fallow with an arbitrarily
selected slope length of 72.6 ft. and slope steepness of 9%. K is a measure
of the susceptibility of soil particles to detachment and transport by
rainfall and runoff. Texture is the principal factor affecting K, but
structure, organic matter and permeability also contribute.
LS is the slope length-gradient factor. The LS factor represents a ratio
of soil loss under given conditions to that at a site with the "standard"
slope steepness of 9% and slope length of 72.6 feet. The steeper and longer
the slope, the higher is the risk for erosion. Use either Table
3A, LS Factor Calculation or the Equation for
Calculating LS included in this Factsheet to obtain LS.
C is the crop/vegetation and management factor. It is used to determine
the relative effectiveness of soil and crop management systems in terms
of preventing soil loss. The C factor is a ratio comparing the soil loss
from land under a specific crop and management system to the corresponding
loss from continuously fallow and tilled land. The C Factor can be determined
by selecting the crop type and tillage method (Table 4A, Crop Type Factor and Table 4B,Tillage
Method Factor respectively) that corresponds to the field and then
multiplying these factors together.
The C factor resulting from this calculation is a generalized C factor
value for a specific crop that does not account for crop rotations or
climate and annual rainfall distribution for the different agricultural
regions of the country. This generalized C factor, however, provides relative
numbers for the different cropping and tillage systems; thereby helping
you weigh the merits of each system.
P is the support practice factor. It reflects the effects of practices
that will reduce the amount and rate of the water runoff and thus reduce
the amount of erosion. The P factor represents the ratio of soil loss
by a support practice to that of straight-row farming up and down the
slope. The most commonly used supporting cropland practices are cross
slope cultivation, contour farming and strip-cropping (Table
5, P Factor Data).
Procedure for Using the USLE
- Determine the R Factor. (Table 1)
- Based on the soil texture determine the K value (Table
2). If there is more than one soil type in a field and the soil
textures are not very different, then use the soil type that represents
the majority of the field. Repeat for other soil types as necessary.
- Divide the field into sections of uniform slope gradient and length.
Assign an LS value to each section (Table 3A).
- Choose the crop type factor and tillage method factor for the crop
to be grown. Multiply these 2 factors together to obtain the C factor.
- Select the P factor based on the support practice used (Table
5).
- Multiply the 5 factors together to obtain the soil loss per acre.
Soil Loss Tolerance Rates
A tolerable soil loss is the maximum annual amount of soil, which can
be removed before the long term natural soil productivity is adversely
affected.
The impact of erosion on a given soil type, and hence the tolerance level
varies, depending on the type and depth of soil. Generally, soils with
deep, uniform, stone free topsoil materials and/or not previously eroded
have been assumed to have a higher tolerance limit than soils which are
shallow or previously eroded.
Soil loss tolerance rates are included in Table 6, Soil
Loss Tolerance Rates.
The suggested tolerance level for most soils in Ontario is 3 tons/acre/year
or less.
Management Strategies to Reduce Soil Losses
Having obtained an estimate of the potential annual soil loss for a field,
you may want to consider ways to reduce this loss to a tolerable level.
Table 7, Management Strategies to Reduce Soil Losses,
outlines management strategies to help you reduce soil erosion.
Table 1. R Factor Data
| Weather Station |
County |
R Factor
|
| Brant |
90 |
| |
100 |
| Essex |
110 |
| Dufferin, Wellington |
120 |
| |
130 |
| |
100 |
| Halton, Hamilton-Wentworth |
100 |
| Frontenac, Lennox & Addington, Prince
Edward |
90 |
| Waterloo |
110 |
| Lambton, Middlesex, Oxford |
100 |
| Bruce, Grey, Haliburton, Muskoka, Simcoe |
90 |
| Niagara |
90 |
| Algoma, Cochrane, Kenora, Manitoulin, Parry
Sound, Rainy River, Sudbury, Thunder Bay, Timiskaming |
90 |
| Dundas, Grenville, Glengarry, Lanark, Leeds,
Nipissing, Ottawa-Carleton, Prescott, Renfrew, Russell, Stormont |
90 |
| Huron, Perth |
120 |
| Kent |
110 |
| Haldimand/Norfolk |
120 |
| |
100 |
| Elgin |
90 |
| Metro-Toronto, Peel, York |
90 |
| Durham, Hastings, Northumberland, Peterborough,
Victoria |
90 |
| |
110 |
Note: any other counties not in this chart are assumed to have an
R Factor of 90.
Table 2. K Factor Data (Organic Matter
Content)
| Textural Class |
Average |
Less than 2 % |
More than 2 % |
|
Clay
|
0.22 |
0.24 |
0.21 |
|
Clay Loam
|
0.30 |
0.33 |
0.28 |
|
Coarse Sandy Loam
|
0.07 |
-- |
0.07 |
|
Fine Sand
|
0.08 |
0.09 |
0.06 |
|
Fine Sandy Loam
|
0.18 |
0.22 |
0.17 |
|
Heavy Clay
|
0.17 |
0.19 |
0.15 |
|
Loam
|
0.30 |
0.34 |
0.26 |
|
Loamy Fine Sand
|
0.11 |
0.15 |
0.09 |
|
Loamy Sand
|
0.04 |
0.05 |
0.04 |
|
Loamy Very Fine Sand
|
0.39 |
0.44 |
0.25 |
|
Sand
|
0.02 |
0.03 |
0.01 |
|
Sandy Clay Loam
|
0.20 |
- |
0.20 |
|
Sandy Loam
|
0.13 |
0.14 |
0.12 |
|
Silt Loam
|
0.38 |
0.41 |
0.37 |
|
Silty Clay
|
0.26 |
0.27 |
0.26 |
|
Silty Clay Loam
|
0.32 |
0.35 |
0.30 |
|
Very Fine Sand
|
0.43 |
0.46 |
0.37 |
|
Very Fine Sandy Loam
|
0.35 |
0.41 |
0.33 |
Table 3A. LS Factor Calculation
| Slope Length ft (m) |
Slope (%) |
LS Factor |
|
100 ft (31 m)
|
10 |
1.3800 |
| 8 |
0.9964 |
| 6 |
0.6742 |
| 5 |
0.5362 |
| 4 |
0.4004 |
| 3 |
0.2965 |
| 2 |
0.2008 |
| 1 |
0.1290 |
| 0 |
0.0693 |
|
200 ft (61 m)
|
10 |
1.9517 |
| 8 |
1.4092 |
| 6 |
0.9535 |
| 5 |
0.7582 |
| 4 |
0.5283 |
| 3 |
0.3912 |
| 2 |
0.2473 |
| 1 |
0.1588 |
| 0 |
0.0796 |
|
400 ft (122 m)
|
10 |
2.7602 |
| 8 |
1.9928 |
| 6 |
1.3484 |
| 5 |
1.0723 |
| 4 |
0.6971 |
| 3 |
0.5162 |
| 2 |
0.3044 |
| 1 |
0.1955 |
| 0 |
0.0915 |
|
800 ft (244 m)
|
10 |
3.9035 |
| 8 |
2.8183 |
| 6 |
1.9070 |
| 5 |
1.5165 |
| 4 |
0.9198 |
| 3 |
0.6811 |
| 2 |
0.3748 |
| 1 |
0.2407 |
| 0 |
0.1051 |
|
1600 ft (488 m)
|
10 |
5.5203 |
| 8 |
3.9857 |
| 6 |
2.6969 |
| 5 |
2.1446 |
| 4 |
1.2137 |
| 3 |
0.8987 |
| 2 |
0.4614 |
| 1 |
0.2964 |
| 0 |
0.1207 |
|
3200 ft (975 m)
|
10 |
7.8069 |
| 8 |
5.6366 |
| 6 |
3.8140 |
| 5 |
3.0330 |
| 4 |
1.6015 |
| 3 |
1.1858 |
| 2 |
0.5680 |
| 1 |
0.3649 |
| 0 |
0.1386 |
Equation for Calculation of LS (if not using
Table 3A above)
LS = [0.065 + 0.0456(slope) + 0.006541(slope)2] x (slope_length
÷ const)NN
Where:
slope = slope steepness (%)
slope length = length of slope (ft.)
constant = 72.5 Imperial or 22.1 metric
NN = see Table 3B below
Table 3B. NN Values
| S |
< 1 |
1 < Slope < 3 |
3 < Slope < 5 |
> 5 |
| NN |
0.2 |
0.3 |
0.4 |
0.5 |
Table 4A. Crop Type Factor
| Crop Type |
Factor |
| 0.40 |
| 0.50 |
| 0.35 |
| 0.50 |
| 0.10 |
| 0.02 |
Table 4B. Tillage Method Factor
| Tillage Method |
Factor |
| 1.0 |
| 0.90 |
| 0.60 |
| 0.35 |
| 0.25 |
| 0.25 |
Table 5. P Factor Data
| Support Practice |
P Factor |
| 1.0 |
| 0.75 |
| 0.50 |
| 0.37 |
| 0.25 |
Table 6. Soil Loss Tolerance Rates
| Soil Erosion Class |
Potential Soil Loss
(tons/acre/year) |
| <3 |
| 3 - 5 |
| 5 - 10 |
| 10 - 15 |
| >15 |
Table 7. Management Strategies to Reduce
Soil Losses
| Factor |
Management Strategies |
Example |
| R |
The R Factor for a field cannot be altered. |
-- |
| K |
The K Factor for a field cannot be altered. |
-- |
| LS |
Terraces may be constructed to reduce the slope length
resulting in lower soil losses. |
Terracing requires additional investment and will
cause some inconvenience in farming. Investigate other soil
conservation practices first. |
| C |
The selection of crop types and tillage methods that
result in the lowest possible C factor will result in less soil
erosion. |
Consider cropping systems that will provide maximum
protection for the soil. Use minimum tillage systems where possible. |
| P |
The selection of a support practice that has the lowest
possible factor associated with it will result in lower soil
losses. |
Use support practices such as cross slope farming that
will cause deposition of sediment to occur close to the
source. |
Example: Calculation of Soil Erosion Using USLE
A =R x K x LS x C x P
Rainfall and Runoff Factor (R)
The sample field is in Middlesex County. Therefore the R Factor is obtained
in Table 1 from the London weather station.
R Factor = 100
Soil Erodibility Factor (K)
The sample field consists of fine sandy loam soil with an average organic
matter content. The K Factor is obtained from Table 2.
K Factor = 0.18
Slope Length-Gradient Factor (LS)
The sample field is 800 feet long with a 6% slope. The LS factor can
be obtained directly from Table 3A or may be calculated
using the "Equation". The NN value from
Table 3B to be used in the "Equation"
is 0.5.
LS Factor = 1.91
Crop/Vegetation and Management Factor (C)
The sample field was plowed in the spring and grain corn was planted.
The C Factor is obtained from the crop type factor (Table 4A) and the tillage method factor (Table 4B).
Crop Type Factor for grain corn = 0.4
Tillage Method Factor for spring plow = 0.9
C Factor = 0.4 x 0.9 = 0.36
Support Practice Factor (P)
Cross slope farming is used on this sample field. The P Factor was obtained
from Table 5.
P Factor = 0.75
Therefore,
A = R x K x LS x C x P
= 100 x 0.18 x 1.91 x 0.36 x 0.75
= 9.28 tons/acre/year
Referring to Table 6 in this Factsheet, you will
see that this soil loss rate of 9.28 tons/acre/year is in the moderate
range and considerably higher than the "tolerable loss level"
of 3 tons/acre/year. To reduce the soil losses for this sample field below
3 tons/acre/year we will make the following changes to the above example.
Change tillage method from "spring plow (0.9)" to "no-till
(0.25)"
Therefore, C Factor (Revised) = 0.4 x .25 = 0.10
The adjusted annual soil loss value is:
A = R x K x LS x C x P
= 100 x 0.18 x 1.91 x 0.10 x 0.75
= 2.58 tons/acre/year
Thus by changing the tillage practice, the average annual predicted soil
loss for this field is below the "tolerable soil loss" of 3
tons/acre/year.
For more information:
Toll Free: 1-877-424-1300
Local: (519) 826-4047
E-mail: ag.info.omafra@ontario.ca
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