Runoff Coefficients (C)

Rational Method runoff coefficients by surface type and land use

The runoff coefficient (C) represents the fraction of rainfall that becomes runoff. Values range from 0 to 1, with higher values indicating more impervious surfaces and greater runoff. These coefficients are used with the Rational Method for peak flow estimation in small drainage areas (typically < 200 acres).

Rational Method Equation

Peak Flow (Q):

Q = C i A

Where:

  • Q = peak runoff rate (cfs)
  • C = runoff coefficient (dimensionless)
  • i = rainfall intensity (in/hr)
  • A = drainage area (acres)

Note: The formula gives Q in cfs when i is in in/hr and A is in acres (conversion factor 1.008 is approximately 1).

Showing 21 of 21 surface types

Surface Type ▲C MinC TypicalC MaxCategorySource
Asphalt Driveway/Walks
Asphalt driveways, sidewalks, and parking lots
0.750.850.95Impervious SurfacesHEC-22, Table 3-1
Asphalt Street
Asphalt paved street surface
0.700.850.95Impervious SurfacesHEC-22, Table 3-1
Brick Pavement
Brick or stone block pavement
0.700.780.85Impervious SurfacesHEC-22, Table 3-1
Built-up Roof
Built-up or membrane roofing
0.850.900.95Impervious SurfacesHEC-22, Table 3-1
Cemeteries
Cemeteries with maintained grass
0.100.180.25Parks and Open SpaceHEC-22, Table 3-1
Concrete Driveway/Walks
Concrete driveways, sidewalks, and parking lots
0.800.900.95Impervious SurfacesHEC-22, Table 3-1
Concrete Street
Concrete paved street surface
0.800.900.95Impervious SurfacesHEC-22, Table 3-1
Gravel Roof
Built-up roof with gravel cover
0.850.880.90Impervious SurfacesHEC-22, Table 3-1
Gravel Surface
Gravel roads, driveways, and parking areas
0.250.400.60Impervious SurfacesASCE MOP 77, Table 5-1
Lawn (Clay Soil, Flat)
Lawn with clay soil, flat slope (0-2%)
0.130.150.17LawnsHEC-22, Table 3-1
Lawn (Clay Soil, Moderate)
Lawn with clay soil, moderate slope (2-7%)
0.180.200.22LawnsHEC-22, Table 3-1
Lawn (Clay Soil, Steep)
Lawn with clay soil, steep slope (>7%)
0.250.300.35LawnsHEC-22, Table 3-1
Lawn (Sandy Soil, Flat)
Lawn with sandy soil, flat slope (0-2%)
0.050.080.10LawnsHEC-22, Table 3-1
Lawn (Sandy Soil, Moderate)
Lawn with sandy soil, moderate slope (2-7%)
0.100.130.15LawnsHEC-22, Table 3-1
Lawn (Sandy Soil, Steep)
Lawn with sandy soil, steep slope (>7%)
0.150.180.20LawnsHEC-22, Table 3-1
Metal Roof
Metal roofing surfaces
0.900.950.95Impervious SurfacesHEC-22, Table 3-1
Parks (Grass Cover)
Public parks with grass cover
0.100.180.25Parks and Open SpaceHEC-22, Table 3-1
Playgrounds
Playgrounds with mixed surfaces
0.200.280.35Parks and Open SpaceHEC-22, Table 3-1
Railroad Yard
Railroad yard areas with ballast and gravel
0.200.300.40Unimproved AreasHEC-22, Table 3-1
Shingle Roof
Composition shingle roofing
0.750.850.90Impervious SurfacesHEC-22, Table 3-1
Unimproved/Vacant Land
Unimproved or vacant land with natural cover
0.100.200.30Unimproved AreasHEC-22, Table 3-1

Frequency Adjustment Factors (Cf)

For return periods greater than 10 years, multiply the runoff coefficient by the frequency factor below. The adjusted C value should not exceed 1.0.

Return Period (years)25102550100
Cf1.001.001.001.101.201.25

Source: HEC-22, Table 3-2. Adjusted C = C x Cf (maximum 1.0)

Slope Adjustment

For pervious surfaces, slope affects runoff coefficients. The lawn values in the table are categorized by slope:

Flat (0-2%)

Lowest C values - maximum infiltration opportunity

Moderate (2-7%)

Intermediate C values - typical suburban conditions

Steep (>7%)

Highest C values - reduced infiltration time

Design Guidance

Composite Runoff Coefficient

For drainage areas with multiple surface types, calculate an area-weighted composite C:

Ccomposite = sum(Ci x Ai) / Atotal

Range Selection

  • Use typical values for general design
  • Use maximum values for conservative design or critical infrastructure
  • Consider soil type, slope, and development intensity when selecting within the range

Method Limitations

  • Rational Method is best for small watersheds (< 200 acres)
  • Assumes uniform rainfall over the drainage area
  • Assumes steady-state conditions (rainfall duration >= time of concentration)
  • Does not account for detention/storage effects

Soil Type Considerations

For lawn and vegetated areas, the table provides separate values for sandy (well-drained) and clay (poorly-drained) soils. Select based on the predominant soil type or HSG:

  • Sandy: HSG A and B soils
  • Clay: HSG C and D soils

Primary Sources

  • FHWA HEC-22 (2009). Urban Drainage Design Manual, 3rd Ed. Tables 3-1, 3-2.
  • ASCE MOP 77 (2006). Design and Construction of Urban Stormwater Management Systems. Table 5-1.
  • McCuen, R.H. (2005). Hydrologic Analysis and Design, 3rd Ed. Prentice Hall.