Stage-discharge supplied-offset power fit calculator

Calculate rating coefficient A and rating exponent b with your own figures.

Your numbers

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

Use rating coefficient A and rating exponent b to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Measured stages (m)
1,2,3,4
Measured flows (m³/s)
2,8,18,32
User-selected zero-flow stage offset (m)
0
Rating coefficient A
2
Rating exponent b
2
Predicted flow residuals (JSON)
[0,0,0,0]

Try another scenario

Measured stages (m)
[2, 2, 3, 4]
Measured flows (m³/s)
[2, 8, 18, 32]
User-selected zero-flow stage offset (m)
0
Rating coefficient A
0.483177
Rating exponent b
3.109677
Predicted flow residuals (JSON)
[-2.17073229412,3.82926770588,3.2836762898,-4.00132660045]
Calculation method

Calculation method

Rating coefficient A

Power rating Q=A(h−h0)^b via log-space least squares with user-supplied h0; no automatic datum fitting.

Rating exponent b

Power rating Q=A(h−h0)^b via log-space least squares with user-supplied h0; no automatic datum fitting.

Predicted flow residuals (JSON)

Power rating Q=A(h−h0)^b via log-space least squares with user-supplied h0; no automatic datum fitting.

Symbols and units
a
Measured stages (m)
b
Measured flows (m³/s)
c
User-selected zero-flow stage offset (m)

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; Power rating Q=A(h−h0)^b via log-space least squares with user-supplied h0; no automatic datum fitting. 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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