River Meandering Calculator
Migration rate from channel width and discharge.
Inputs
Results
Migration rate (m/yr)
0.06
Total migration (m)3.11
Meander wavelength (m)550
Meander amplitude (m)135
Sinuosity1.39
Cutoff risk (0-100)1.2
How to Use This Calculator
- Enter Channel width (m) from a bankfull survey or aerial measurement.
- Enter bankfull Discharge (m³/s) from a stream gauge or regional flood-frequency estimate.
- Set Bank resistance (1–10): 1 for loose sand, 3 for silt-clay, 5 for cohesive clay, 10 for near-bedrock conditions.
- Enter Valley slope (m/m) from a DEM or topographic map (e.g., 0.001 = 1 m drop per km).
- Read Migration rate (m/yr) and Sinuosity to assess channel mobility, and check Cutoff risk (0–100) for oxbow formation likelihood.
How the result changes with Bank resistance (1-10)
| Bank resistance (1-10) | Migration rate (m/yr) |
|---|---|
| 1.09 | 0.17 |
| 3.56 | 0.05 |
| 6.54 | 0.03 |
| 9.01 | 0.02 |
What each input means
- Channel width (m)
- Bankfull width of the river channel in meters.
- Discharge (m³/s)
- Bankfull or mean annual discharge in cubic meters per second.
- Bank resistance (1-10)
- Bank erodibility: 1=loose sand, 3=silt-clay, 5=cohesive clay, 10=bedrock.
- Valley slope (m/m)
- Valley gradient in meters per meter (e.g. 0.001 = 1 m drop per km).
- Time period (years)
- Number of years over which to compute total lateral migration.
What each result means
- Migration rate (m/yr)
- Estimated lateral bank migration rate in meters per year.
- Total migration (m)
- Cumulative lateral migration over the observation period.
- Meander wavelength (m)
- Predicted meander wavelength (~11× channel width).
- Meander amplitude (m)
- Predicted meander belt width (~2.7× channel width).
- Sinuosity
- Channel length / valley length ratio. 1.0=straight, >1.5=highly sinuous.
- Cutoff risk (0-100)
- Relative likelihood of meander neck cutoff during the observation period.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersChannel width (m) = 50, Discharge (m³/s) = 100, Bank resistance (1-10) = 3, Valley slope (m/m) = 0.001 = 5 input(s) provided
- Calculate Migration rateMigration rate = 0.5 * pow(specificStreamPower / 100, 0.5) *0.062 = 0.062
- Calculate Total migrationTotal migration = migrationRate * observationYears3.11 = 3.11
- Calculate Meander wavelengthMeander wavelength = 11 * channelWidth550 = 550
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