Runoff Coefficient From Land Use Calculator
Calculate runoff coefficient land use with our free science calculator. Uses standard scientific formulas with unit conversions and explanations.
Reviewed by Daniel Agrici, Founder & Lead Developer
Formula
C_composite = sum(Ci * Ai) / sum(Ai); Q = C * I * A
Where C_composite is the weighted runoff coefficient, Ci is the coefficient for each land use type, Ai is the area fraction, Q is peak discharge, I is rainfall intensity, and A is drainage area.
Worked Examples
Example 1: Suburban Development Site
Problem:A 1-hectare suburban site has 45% impervious surfaces, 10% forest, 30% lawn/grassland, and 15% agricultural land. Design rainfall intensity is 60 mm/hr.
Solution:C = (45 x 0.90 + 10 x 0.15 + 30 x 0.25 + 15 x 0.35) / 100\nC = (40.5 + 1.5 + 7.5 + 5.25) / 100 = 0.5475\nQ = C x I x A = 0.5475 x (60/3600000) x 10000 = 91.3 L/s
Result:Composite C = 0.5475 | Peak Runoff = 91.3 L/s | Effective Rainfall = 32.85 mm/hr
Example 2: Rural Forested Watershed
Problem:A watershed is 5% impervious, 60% forest, 25% grassland, and 10% agricultural. Rainfall intensity is 40 mm/hr.
Solution:C = (5 x 0.90 + 60 x 0.15 + 25 x 0.25 + 10 x 0.35) / 100 = 0.2325\nQ = 0.2325 x (40/3600000) x 10000 = 25.8 L/s per hectare
Result:Composite C = 0.2325 | Peak Runoff = 25.8 L/s | Infiltration = 76.75%
Frequently Asked Questions
What is a runoff coefficient and how is it determined from land use?
A runoff coefficient (C) is a dimensionless ratio between 0 and 1 representing the fraction of rainfall becoming surface runoff. It is determined by assigning characteristic C values to each land cover type, such as 0.90 for impervious surfaces, 0.15 for dense forest, 0.25 for grassland, and 0.35 for agricultural land. The composite coefficient is the area-weighted average of all individual land use coefficients. These values also depend on soil type, slope, and surface condition.
How does the Rational Method use the runoff coefficient?
The Rational Method estimates peak runoff discharge from small watersheds as Q = C * I * A, where Q is peak discharge, C is the runoff coefficient, I is rainfall intensity, and A is drainage area. The method assumes uniform rainfall distribution and storm duration equal to or exceeding the time of concentration. It works best for areas smaller than about 80 hectares and return periods up to 25 years. Engineers use this extensively for designing storm drains, culverts, and small detention basins.
Why do impervious surfaces have high runoff coefficients?
Impervious surfaces such as concrete, asphalt, and rooftops prevent water from infiltrating into the soil, forcing nearly all precipitation to flow across the surface as runoff. These surfaces typically have runoff coefficients ranging from 0.85 to 0.95, meaning 85 to 95 percent of rainfall becomes direct runoff. Even small cracks in pavement allow minimal infiltration compared to natural surfaces. The consequence in urban areas is dramatically increased peak flows, higher flood risk, and reduced groundwater recharge.
How does urbanization change the runoff coefficient of a watershed?
Urbanization replaces natural pervious land covers like forests and grasslands with impervious surfaces including buildings, roads, and parking lots, increasing the watershed runoff coefficient from 0.15 to above 0.60. A developed watershed may produce four to six times more surface runoff than the same area in its natural state. The shift reduces baseflow in streams because less water infiltrates to recharge groundwater aquifers. Stormwater management practices such as detention ponds, green roofs, and permeable pavement mitigate these impacts.
References
Reviewed by Daniel Agrici, Founder & Lead Developer · Editorial policy