The four distributions
| Type | Climate (TR-55 App. B) | Peak 1-hour share | Peak hour | Fallen by 12:00 |
|---|---|---|---|---|
| I | Pacific maritime; wet winters, dry summers | 28 % | 09:24 – 10:24 | 68 % |
| IA | Pacific maritime, the mildest; Washington to northern California | 17 % | 07:24 – 08:24 | 66 % |
| II | Most of the continental US | 45 % | 11:24 – 12:24 | 66 % |
| III | Gulf of Mexico and Atlantic coast; tropical storms | 40 % | 11:30 – 12:30 | 50 % |
Each type is a mass curve: it starts at 0 at midnight and reaches 1 at 24:00. Types II and III put the peak at the middle of the day and are almost symmetrical about it, so the rainfall of every shorter duration is centred on hour 12. Types I and IA peak earlier, near hours 8 to 10, and are much flatter. The type controls the shape only; the depth comes from your design rainfall for the 24-hour duration at the required return period.
Hourly cumulative ordinates
Fraction of the 24-hour rainfall that has fallen by each hour. The source tables are at 0.1-hour intervals (241 ordinates per type); interpolate linearly between the hours below, or use the design storm generator, which reads the full tables.
| Time (h) | Type I | Type IA | Type II | Type III |
|---|---|---|---|---|
| 0 | 0.000 | 0.000 | 0.000 | 0.000 |
| 1 | 0.017 | 0.020 | 0.011 | 0.010 |
| 2 | 0.035 | 0.050 | 0.022 | 0.020 |
| 3 | 0.054 | 0.082 | 0.035 | 0.031 |
| 4 | 0.076 | 0.116 | 0.048 | 0.043 |
| 5 | 0.100 | 0.156 | 0.063 | 0.057 |
| 6 | 0.125 | 0.206 | 0.080 | 0.072 |
| 7 | 0.156 | 0.268 | 0.099 | 0.090 |
| 8 | 0.194 | 0.425 | 0.120 | 0.114 |
| 9 | 0.254 | 0.520 | 0.147 | 0.146 |
| 10 | 0.515 | 0.577 | 0.181 | 0.189 |
| 11 | 0.623 | 0.624 | 0.235 | 0.250 |
| 12 | 0.684 | 0.664 | 0.663 | 0.500 |
| 13 | 0.732 | 0.701 | 0.772 | 0.750 |
| 14 | 0.770 | 0.736 | 0.820 | 0.811 |
| 15 | 0.802 | 0.769 | 0.854 | 0.854 |
| 16 | 0.832 | 0.801 | 0.880 | 0.886 |
| 17 | 0.860 | 0.831 | 0.902 | 0.909 |
| 18 | 0.886 | 0.860 | 0.921 | 0.928 |
| 19 | 0.910 | 0.887 | 0.938 | 0.943 |
| 20 | 0.932 | 0.913 | 0.952 | 0.957 |
| 21 | 0.952 | 0.937 | 0.965 | 0.969 |
| 22 | 0.970 | 0.959 | 0.977 | 0.981 |
| 23 | 0.986 | 0.980 | 0.989 | 0.991 |
| 24 | 1.000 | 1.000 | 1.000 | 1.000 |
From the table to a design storm
For a 24-hour design depth P24, the cumulative depth at time t and the depth in the interval from t to t + Δt are:
For example, with P24 = 100 mm and the Type II distribution, 66.3 mm has fallen by 12:00, and the most intense hour, 11:24 to 12:24, brings 45.4 mm. Choose the time step from the catchment's response: NEH Part 630 Chapter 16 suggests about 0.133 times the time of concentration, which for small urban catchments means a few minutes.
Use the storm with the TR-55 calculator for the peak flow and runoff volume, or with a unit hydrograph to route it through a catchment.
Where the tables come from
TR-55 (1986) gives the four distributions only as a graph. The tabulated 0.1-hour ordinates are the ones NRCS distributes with WinTR-55 and WinTR-20; NEH Part 630 Chapter 4 refers to those programs' documentation as the listing. The values here match NEH 630 Figure 4-36 (Type II hourly ratios, 12:00 at 0.663, 20:00 at 0.952) to the three decimals printed. NEH 630 Chapter 4 (2019) recommends the NOAA Atlas 14 regional distributions where they exist; the four legacy types remain the default in much of the world and in older US manuals.
Common questions
Which SCS storm type should I use?
How do I turn the table into a hyetograph?
Why is the Type II storm so intense at hour 12?
Can I use the SCS distributions outside the US?
Sources
- USDA Soil Conservation Service (1986) Urban Hydrology for Small Watersheds, Technical Release 55 (TR-55), 2nd ed. Appendix B, Figures B-1 and B-2.
- USDA Natural Resources Conservation Service (2019) National Engineering Handbook, Part 630 Hydrology, Chapter 4: Storm Rainfall Depth and Distribution. 210-630-H, Amendment 88.
- USDA Natural Resources Conservation Service (2009) WinTR-55 Small Watershed Hydrology, version 2.00: rainfall distribution tables Type I, IA, II and III (0.1-hour increment).
- Bonnin, G.M. et al. (2006 onwards) NOAA Atlas 14, Precipitation-Frequency Atlas of the United States. NOAA National Weather Service.
The values are the ones Delta Hydro Studio's calculators use. Last reviewed . Check them against the design manual your project is reviewed under.