River flow-duration curve calculator

Calculate flow/exceedance-percent pairs and median observed flow with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use flow/exceedance-percent pairs and median observed flow to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Nonmissing daily flows (m³/s)
2,5,3,8,1
Flow/exceedance-percent pairs (JSON)
[[8,16.6666666667],[5,33.3333333333],[3,50],[2,66.6666666667],[1,83.3333333333]]
Median observed flow (m³/s)
3

Try another scenario

Nonmissing daily flows (m³/s)
[3, 5, 3, 8, 1]
Flow/exceedance-percent pairs (JSON)
[[8,16.6666666667],[5,33.3333333333],[3,50],[3,66.6666666667],[1,83.3333333333]]
Median observed flow (m³/s)
3
Calculation method

Calculation method

Flow/exceedance-percent pairs (JSON)

Sort valid observations descending and use Weibull exceedance rank m/(n+1); missing days must be removed explicitly.

Median observed flow (m³/s)

Sort valid observations descending and use Weibull exceedance rank m/(n+1); missing days must be removed explicitly.

Symbols and units
a
Nonmissing daily flows (m³/s)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • User-supplied measurements and assumptions; Sort valid observations descending and use Weibull exceedance rank m/(n+1); missing days must be removed explicitly. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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