Rainfall return period plotting calculator

Calculate descending maxima, rank and Weibull return periods with your own figures.

Your numbers

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

Use descending maxima, rank and Weibull return periods to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Annual maximum observations
10,25,18,40,32
Descending maxima, rank and Weibull return periods (years)
[[40,1,6],[32,2,3],[25,3,2],[18,4,1.5],[10,5,1.2]]

Try another scenario

Annual maximum observations
11.0,25.0,18.0,40.0,32.0
Descending maxima, rank and Weibull return periods (years)
[[40,1,6],[32,2,3],[25,3,2],[18,4,1.5],[11,5,1.2]]
Calculation method

Calculation method

Descending maxima, rank and Weibull return periods (years)

Sort maxima descending; T=(n+1)/rank.

Symbols and units
a
Annual maximum observations

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

  • Plotting positions, not an extreme-value flood frequency fit. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Plotting positions, not an extreme-value flood frequency fit.
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Further reading

Method reference ↗

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

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