How to read a storm hydrograph

Rain falls first. The river often peaks later. Why?

A storm hydrograph shows how river discharge changes during and after rainfall. Lag time is the time between peak rainfall and peak discharge.

An imagined clear river curving around a gravel bar in a green upland valley.
Lag time = time of peak discharge − time of peak rainfall

Check both axes

Rainfall bars and the discharge line may use different vertical axes. Read the labels and units before comparing their heights. A taller rainfall bar is not a larger discharge.

Follow the water

Water takes time to reach the channel. Some soaks into soil or is held by vegetation. Fast surface runoff can produce an earlier peak than slower routes through soil.

Worked example

Fictional training data

Invented storm record
Peak rainfall: hour 2 · Peak discharge: hour 7 · Peak discharge value: 24 m³/s
  1. Find the largest rainfall bar and read its time: hour 2.
  2. Find the highest point on the discharge line and read its time: hour 7.
  3. Lag time = 7 − 2 = 5 hours. The peak discharge is 24 m³/s; it is not the lag time.

A short lag time does not prove that building roads caused flooding. Rainfall intensity, soil wetness, slope and the basin’s size can also affect the response. Compare storms carefully.

Check you’ve got it

A second storm has peak rainfall at hour 4 and peak discharge at hour 8. Which storm has the shorter lag time?

Check your answer

The second storm: 8 − 4 = 4 hours, compared with 5 hours in the worked example.

Try it yourself

Use this new resource. Check your answers, then try another set.

River hydrographs

Blue bars show rainfall in the hour ending at each labelled time. The green line shows discharge at that time. Peak lag is the difference between the hours of maximum rainfall and maximum discharge.

Scroll the diagram sideways to see the full resource.

Fictional storm hydrographHour 0: 0 mm rainfall, 5 m³/s discharge; Hour 1: 4 mm rainfall, 5 m³/s discharge; Hour 2: 11 mm rainfall, 5 m³/s discharge; Hour 3: 6 mm rainfall, 5 m³/s discharge; Hour 4: 0 mm rainfall, 7 m³/s discharge; Hour 5: 0 mm rainfall, 13 m³/s discharge; Hour 6: 0 mm rainfall, 19 m³/s discharge; Hour 7: 0 mm rainfall, 13 m³/s discharge; Hour 8: 0 mm rainfall, 7 m³/s discharge; Hour 9: 0 mm rainfall, 5 m³/s discharge; Hour 10: 0 mm rainfall, 5 m³/s discharge; Hour 11: 0 mm rainfall, 5 m³/s discharge; Hour 12: 0 mm rainfall, 5 m³/s discharge010203040051015200123456789101112Discharge (m³/s)Rainfall (mm)Hour since record began
HourRainfall in preceding hour (mm)Discharge (m³/s)
005
145
2115
365
407
5013
6019
7013
807
905
1005
1105
1205
Fictional storm hydrograph. Original fictional resource; not an official map or real dataset.
Resource description

Hour 0: 0 mm rainfall, 5 m³/s discharge; Hour 1: 4 mm rainfall, 5 m³/s discharge; Hour 2: 11 mm rainfall, 5 m³/s discharge; Hour 3: 6 mm rainfall, 5 m³/s discharge; Hour 4: 0 mm rainfall, 7 m³/s discharge; Hour 5: 0 mm rainfall, 13 m³/s discharge; Hour 6: 0 mm rainfall, 19 m³/s discharge; Hour 7: 0 mm rainfall, 13 m³/s discharge; Hour 8: 0 mm rainfall, 7 m³/s discharge; Hour 9: 0 mm rainfall, 5 m³/s discharge; Hour 10: 0 mm rainfall, 5 m³/s discharge; Hour 11: 0 mm rainfall, 5 m³/s discharge; Hour 12: 0 mm rainfall, 5 m³/s discharge

1. What is peak discharge in m³/s?

2. Calculate peak lag using the labelled hours of maximum rainfall and maximum discharge. Give your answer in hours.

3. Which explanation is consistent with, but not uniquely established by, this storm record?

Choose an answer

The maps and data are fictional. These exercises do not count as required fieldwork.

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