Skip to main content
CalcChef

Soil Erosion Rate Calculator

Annual soil loss in t/ha/yr and lb/acre/yr from RUSLE, A = R × K × LS × C × P, with topsoil mm/yr and a Low to Very High class. How it works

Use the Soil Erosion Rate Calculator

Display Units:

MJ·mm/(ha·h·yr). Look up from a regional erosivity map.

Metric units, t·h/(MJ·mm). US customary values (t·ac·h/(100 ft·tonf·in)) are multiplied by 0.1317 to convert (Foster 1981).

With the slope length, LS is worked out for you (McCool et al.; Renard et al. 1997, Agriculture Handbook 703). Clear both to type LS yourself.

Horizontal length from where runoff starts to where it deposits or reaches a channel.

Dimensionless combined factor. Type it, or enter the slope and slope length above to have it worked out (McCool et al. equations).

0 = full ground cover. 1 = bare soil. Lower is better.

0 = maximum conservation. 1 = no practice. Lower is better.

Predicted Annual Soil Loss
0.30 t/ha/yr
Topsoil Lost 0.02 mm/yr · Soil loss, imperial 268 lb/acre/yr
Loss class: Low

Low: under 5 t/ha/yr on this scale.

The class uses fixed thresholds of 5, 10 and 25 t/ha/yr, not your soil's tolerance. NRCS soil-loss tolerance (T) values run from 1 to 5 US tons/ac/yr, which is 2.2 to 11.2 t/ha/yr (metric tonnes); a soil with a lower T tolerates less loss.

Factor Breakdown

FactorValueCumulative
R100100
K0.033
LS13
C0.10.3
P10.3
A—0.30 t/ha/yr

Formula: A = R × K × LS × C × P (RUSLE).

Source: Renard et al. (1997). USDA Agricultural Handbook 703.

LS from slope: L = (λ ÷ 22.13 m)m with m = β ÷ (1 + β) and β = (sin θ ÷ 0.0896) ÷ (3.0 sin0.8 θ + 0.56); S = 10.8 sin θ + 0.03 for slopes under 9 %, 16.8 sin θ − 0.50 from 9 %, and 3.0 sin0.8 θ + 0.56 when the slope length is under 4.572 m (15 ft). λ is the horizontal slope length; this page accepts slopes up to 100 % and lengths up to 1,000 m.

This calculator predicts sheet and rill erosion only. Gully, streambank, and ephemeral gully erosion are out of scope.

RUSLE assumes unfrozen soil.

About the Soil Erosion Rate Calculator

With R = 100, K = 0.03, LS = 1, C = 0.1 and P = 1, RUSLE gives 0.30 t/ha/yr of soil loss, which is 268 lb/acre/yr and 0.02 mm of topsoil a year. The soil erosion calculator multiplies the five factors, A = R × K × LS × C × P, and labels the result Low below 5 t/ha/yr, Moderate below 10, High below 25 and Very High above that. Those thresholds are the tool’s own, not a soil’s tolerance.

What the cover factor does: R 300, K 0.03, LS 2, P 1

Cover factor CSoil loss (t/ha/yr)lb/acre/yrTopsoil (mm/yr)Class
118.00160591.38High
0.59.0080300.69Moderate
0.11.8016060.14Low
0.010.181610.01Low
0.0010.02160.00Low

C = 1 is bare soil. The factors are illustrative inputs, not site data: take R, K, LS, C and P from a source for your location.

The loss classes in other units

Class boundarySoil loss (t/ha/yr)lb/acre/yrTopsoil at 1.3 g/cm³ (mm/yr)
Low ends below544610.38
Moderate ends below1089220.77
High ends below25223041.92

The thresholds of 5, 10 and 25 t/ha/yr are fixed in the tool and are not tied to a soil’s tolerance. 1 t/ha = 892.179 lb/acre.

LS factor by slope and slope length

Slope10 m22.13 m (72.6 ft)50 m100 m200 m
2%0.20260.2460.30010.35540.4209
5%0.4140.56930.78941.0421.376
10%0.77651.1721.7872.5593.664
15%1.2591.9923.1894.7597.101
20%1.7162.7954.6117.05710.8
30%2.5664.3277.39911.6818.42

RUSLE equations of McCool and others as given in Renard et al. (1997), Agriculture Handbook 703: L = (λ ÷ 22.13 m)^m with m = β ÷ (1 + β) and β = (sin θ ÷ 0.0896) ÷ (3.0 sin^0.8 θ + 0.56); S = 10.8 sin θ + 0.03 under 9 % and 16.8 sin θ − 0.50 from 9 %. The slope length is horizontal. 22.13 m is the length of the standard plot, where L = 1.

How to use this tool

  1. Enter R, K, LS, C and P. For LS you can instead enter the slope in percent and the slope length in m or ft, and the tool fills in LS. A blank or out-of-range entry shows a message with the allowed range, and no result until it is fixed.
  2. Choose metric (t/ha/yr) or imperial (lb/acre/yr) for the headline figure.
  3. Open Show Advanced to change the bulk density that turns tons per hectare into millimeters of topsoil. Read the class label, then the factor table to see how each factor changes the running product.

Frequently asked questions

How do I calculate soil loss with RUSLE?
Multiply the five factors: A = R × K × LS × C × P, with A in t/ha/yr. For R = 300, K = 0.03, LS = 2, C = 0.1 and P = 1, A = 1.80 t/ha/yr, which is 1606 lb/acre/yr and 0.14 mm of topsoil a year at a bulk density of 1.3 g/cm³. R, K, LS, C and P are the inputs; the tool does not look them up for a location.
What do the Low, Moderate, High and Very High classes mean?
They are fixed thresholds in this tool: Low below 5 t/ha/yr, Moderate below 10, High below 25 and Very High from 25. They are not a standard. Soil loss tolerance (T) values run from 1 to 5 tons per acre per year according to Wikipedia, which is 2.2 to 11.2 t/ha/yr, so a result in the Low class can still be above the tolerance of a soil whose T is 1.
How do I convert t/ha to lb/acre?
Multiply by 892.179. That is 1000 kg over 10,000 m² turned into pounds per acre, so 5 t/ha is 4461 lb/acre and 10 t/ha is 8922 lb/acre. The factor is arithmetic, not a figure from a table.
How is soil loss turned into millimeters of topsoil?
The tool divides the loss by the bulk density times 10: A ÷ (ρ × 10). At 1.8 t/ha/yr and 1.3 g/cm³ that is 0.14 mm a year. Bulk density must be between 0.5 and 2 g/cm³, and the default 1.3 is a working value, not a measurement of your soil.
What are the units of the K factor?
The tool takes K in metric units, t·h/(MJ·mm), from 0 to 0.1. Values given in US customary units (t·ac·h/(100 ft·tonf·in)) are multiplied by 0.1317 to convert, a factor a Stanford Natural Capital Project dataset attributes to Foster (1981). The tool does not suggest a typical K: take it from a soil survey for the site.
Does the calculator work out the LS factor from slope and slope length?
Yes, if you enter both the slope in percent (0 to 100) and the slope length (0.1 to 1,000 m or 0.3 to 3,300 ft). It applies the RUSLE equations of McCool and others as given in Agriculture Handbook 703 (Renard et al. 1997): a 10 % slope 100 m long gives L = 2.184, S = 1.1717 and LS = 2.559. Under 4.572 m (15 ft) it uses the short-slope equation S = 3.0 sin^0.8 θ + 0.56. Clear both slope fields to type LS yourself, from 0 to 100. It shows a warning for LS above 30 and for R above 5000, as a prompt to recheck the value, not as a limit.

Related Tools

View all tools