The runoff equation
The NRCS method computes the depth of direct runoff Q from the storm rainfall P and the potential maximum retention S, which the curve number sets:
S=CN25400−254(mm)Ia=0.2SQ=P−Ia+S(P−Ia)2for P>Ia
In US customary units S = 1000/CN − 10 in inches. No runoff occurs until the rainfall exceeds the initial abstraction Ia, which covers interception, depression storage and infiltration before runoff begins. The ratio Ia/S = 0.2 is the one the tables were developed with; Hawkins et al. (2002) found 0.05 fits observed data better, but the published curve numbers then need converting, so use 0.2 unless your manual says otherwise.
For example, 100 mm of rainfall on a catchment with CN 75: S = 25 400/75 − 254 = 84.7 mm, Ia = 16.9 mm, and Q = (100 − 16.9)² / (100 − 16.9 + 84.7) = 41.1 mm of direct runoff, 41 % of the rainfall.
Hydrologic soil groups
Every soil is placed in one of four groups by its minimum infiltration rate when thoroughly wet (TR-55, Appendix A):
| Group | Typical soils | Minimum infiltration rate | Runoff potential |
| A | Sand, loamy sand, sandy loam | > 7.6 mm/h (0.30 in/h) | Low |
| B | Silt loam, loam | 3.8 – 7.6 mm/h (0.15 – 0.30 in/h) | Moderately low |
| C | Sandy clay loam | 1.3 – 3.8 mm/h (0.05 – 0.15 in/h) | Moderately high |
| D | Clay loam, silty clay loam, sandy clay, silty clay, clay; shallow soils; high water table | < 1.3 mm/h (0.05 in/h) | High |
NEH Part 630 Chapter 7 (2009) now assigns the group from the saturated hydraulic conductivity and the depth to an impermeable layer or water table, and adds dual groups (A/D, B/D, C/D) for soils that are D only while undrained. Where the drainage is in place, use the first letter.
Tables
Curve numbers for average antecedent runoff condition (ARC II), with Ia = 0.2 S. Urban rows assume the impervious area is directly connected to the drainage system; residential percentages are the average impervious fraction for that lot size. Use them in the TR-55 calculator, the unit hydrograph generator, or the NRCS lag method of the time of concentration calculator.
Jump to: Urban — Open Space · Urban — Impervious · Urban Districts · Residential Districts · Developing Urban · Cultivated — Fallow · Cultivated — Row Crops · Cultivated — Small Grain · Cultivated — Legumes/Meadow · Other Agricultural
Urban — Open Space
| Cover description | Hydrologic condition | A | B | C | D |
| Lawns, parks, golf courses, cemeteries | Poor (grass < 50%) | 68 | 79 | 86 | 89 |
| Lawns, parks, golf courses, cemeteries | Fair (grass 50–75%) | 49 | 69 | 79 | 84 |
| Lawns, parks, golf courses, cemeteries | Good (grass > 75%) | 39 | 61 | 74 | 80 |
Urban — Impervious
| Cover description | Hydrologic condition | A | B | C | D |
| Paved parking lots, roofs, driveways (excl. right-of-way) | – | 98 | 98 | 98 | 98 |
| Streets & roads — paved; curbs & storm sewers | – | 98 | 98 | 98 | 98 |
| Streets & roads — paved; open ditches | – | 83 | 89 | 92 | 93 |
| Streets & roads — gravel | – | 76 | 85 | 89 | 91 |
| Streets & roads — dirt | – | 72 | 82 | 87 | 89 |
Urban Districts
| Cover description | Hydrologic condition | A | B | C | D |
| Commercial & business (85% impervious) | – | 89 | 92 | 94 | 95 |
| Industrial (72% impervious) | – | 81 | 88 | 91 | 93 |
Residential Districts
| Cover description | Hydrologic condition | A | B | C | D |
| 1/8 acre or less (65% impervious) | – | 77 | 85 | 90 | 92 |
| 1/4 acre (38% impervious) | – | 61 | 75 | 83 | 87 |
| 1/3 acre (30% impervious) | – | 57 | 72 | 81 | 86 |
| 1/2 acre (25% impervious) | – | 54 | 70 | 80 | 85 |
| 1 acre (20% impervious) | – | 51 | 68 | 79 | 84 |
| 2 acres (12% impervious) | – | 46 | 65 | 77 | 82 |
Developing Urban
| Cover description | Hydrologic condition | A | B | C | D |
| Newly graded area (no permanent vegetation) | – | 77 | 86 | 91 | 94 |
Cultivated — Fallow
| Cover description | Hydrologic condition | A | B | C | D |
| Bare soil | – | 77 | 86 | 91 | 94 |
| Crop residue cover (CR) | Poor | 76 | 85 | 90 | 93 |
| Crop residue cover (CR) | Good | 74 | 83 | 88 | 90 |
Cultivated — Row Crops
| Cover description | Hydrologic condition | A | B | C | D |
| Straight row (SR) | Poor | 72 | 81 | 88 | 91 |
| Straight row (SR) | Good | 67 | 78 | 85 | 89 |
| Contoured (C) | Poor | 70 | 79 | 84 | 88 |
| Contoured (C) | Good | 65 | 75 | 82 | 86 |
| Contoured & terraced (C&T) | Poor | 66 | 74 | 80 | 82 |
| Contoured & terraced (C&T) | Good | 62 | 71 | 78 | 81 |
Cultivated — Small Grain
| Cover description | Hydrologic condition | A | B | C | D |
| Straight row (SR) | Poor | 65 | 76 | 84 | 88 |
| Straight row (SR) | Good | 63 | 75 | 83 | 87 |
| Contoured (C) | Poor | 63 | 74 | 82 | 85 |
| Contoured (C) | Good | 61 | 73 | 81 | 84 |
| Contoured & terraced (C&T) | Poor | 61 | 72 | 79 | 82 |
| Contoured & terraced (C&T) | Good | 59 | 70 | 78 | 81 |
Cultivated — Legumes/Meadow
| Cover description | Hydrologic condition | A | B | C | D |
| Straight row (SR) | Poor | 66 | 77 | 85 | 89 |
| Straight row (SR) | Good | 58 | 72 | 81 | 85 |
| Contoured (C) | Poor | 64 | 75 | 83 | 85 |
| Contoured (C) | Good | 55 | 69 | 78 | 83 |
| Contoured & terraced (C&T) | Poor | 63 | 73 | 80 | 83 |
| Contoured & terraced (C&T) | Good | 51 | 67 | 76 | 80 |
Other Agricultural
| Cover description | Hydrologic condition | A | B | C | D |
| Pasture, grassland, or range — continuous forage | Poor (<50% cover, heavy grazed) | 68 | 79 | 86 | 89 |
| Pasture, grassland, or range — continuous forage | Fair (50–75% cover) | 49 | 69 | 79 | 84 |
| Pasture, grassland, or range — continuous forage | Good (>75% cover, light grazed) | 39 | 61 | 74 | 80 |
| Meadow — continuous grass, no grazing | – | 30 | 58 | 71 | 78 |
| Brush — brush-weed-grass mixture | Poor (<50% cover) | 48 | 67 | 77 | 83 |
| Brush — brush-weed-grass mixture | Fair (50–75% cover) | 35 | 56 | 70 | 77 |
| Brush — brush-weed-grass mixture | Good (>75% cover) | 30 | 48 | 65 | 73 |
| Woods-grass combination (orchard / tree farm) | Poor | 57 | 73 | 82 | 86 |
| Woods-grass combination (orchard / tree farm) | Fair | 43 | 65 | 76 | 82 |
| Woods-grass combination (orchard / tree farm) | Good | 32 | 58 | 72 | 79 |
| Woods | Poor (heavy grazing / burning) | 45 | 66 | 77 | 83 |
| Woods | Fair (some grazing, no burning) | 36 | 60 | 73 | 79 |
| Woods | Good (protected from grazing) | 30 | 55 | 70 | 77 |
| Farmsteads — buildings, lanes, driveways | – | 59 | 74 | 82 | 86 |
Hydrologic condition
For cultivated and grazed land, the condition describes how well the cover protects the soil and encourages infiltration: the density of the vegetation or residue, the amount of grazing and, for crops, the rotation. Good means the cover favours infiltration and the runoff potential is lower; poor means sparse or heavily grazed cover. For woods, the condition reflects grazing and burning, which remove the litter layer that holds water.
Outside the United States
The curve numbers were derived from small US catchments, but the method is used worldwide because the inputs are a land cover and a soil class. The land covers transfer reasonably well; the soil group is the harder part, since few national soil maps use the NRCS classification directly. Where a national adaptation exists (South Africa's SCS-SA method, for one, adjusts the curve numbers and the antecedent moisture for local conditions), use it in preference to the US tables.