Ocean mixed-layer threshold calculator

Calculate threshold mixed-layer depth and threshold status with your own figures.

Your numbers

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

Use threshold mixed-layer depth and threshold status to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Increasing depths (m)
0,10,20,30,40
Profile values (temperature or density)
20,20,19.9,19,17
Absolute departure threshold from first observation
0.5
Threshold mixed-layer depth (m)
24.444444
Threshold status
Threshold reached

Try another scenario

Increasing depths (m)
[0, 10, 20, 30, 40]
Profile values (temperature or density)
[20, 20, 19.9, 19, 17]
Absolute departure threshold from first observation
1
Threshold mixed-layer depth (m)
30
Threshold status
Threshold reached
Calculation method

Calculation method

Threshold mixed-layer depth (m)

First depth where absolute departure from first profile value reaches threshold; linear interpolation.

Threshold status

If threshold is not reached, report below sampled range instead of inventing a depth.

Symbols and units
a
Increasing depths (m)
b
Profile values (temperature or density)
c
Absolute departure threshold from first observation

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

  • Depth-density-temperature profiles, chosen threshold. Returns Threshold-based layer depth. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. Increasing depths (m): minimum 0, maximum 1000000000000.0. Profile values (temperature or density): minimum None, maximum 1000000000000.0. Absolute departure threshold from first observation: minimum 1e-12, maximum 1000000000000.0.
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