Ocean thermocline gradient calculator

Calculate interval center depth and temperature gradient and strongest absolute-gradient center depth with your own figures.

Your numbers

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

Use interval center depth and temperature gradient and strongest absolute-gradient center depth 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
Temperatures (°C)
20,19.5,17,16
Smoothing radius in sample indices
0
Interval center depth and temperature gradient (°C/m)
[[5,-0.05],[15,-0.25],[25,-0.1]]
Strongest absolute-gradient center depth (m)
15

Try another scenario

Increasing depths (m)
[0, 10, 20, 30]
Temperatures (°C)
[20, 19.5, 17, 16]
Smoothing radius in sample indices
1
Interval center depth and temperature gradient (°C/m)
[[5,-0.0916666666667],[15,-0.133333333333],[25,-0.1]]
Strongest absolute-gradient center depth (m)
15
Calculation method

Calculation method

Interval center depth and temperature gradient (°C/m)

Optionally average neighbors within radius, then finite differences on actual depth intervals.

Strongest absolute-gradient center depth (m)

First interval with maximum absolute temperature gradient.

Symbols and units
a
Increasing depths (m)
b
Temperatures (°C)
c
Smoothing radius in sample indices

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

  • Temperature-depth profile, smoothing choice. Returns Gradient and maximum-gradient 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. Temperatures (°C): minimum None, maximum 1000000000000.0. Smoothing radius in sample indices: minimum 0, maximum 20.
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