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Tropopause Layer Lapse Rate Gap Tool

Compare an explicit mean layer lapse rate with a supplied reference; this does not implement a full tropopause definition.

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Description

Return layer lapse rate and a reference residual.

Atmospheric state formulas depend on absolute temperature, pressure reference, water mass/volume bases and layer assumptions. Local adiabatic, hydrostatic or precipitation terms can illustrate a supplied model without reconstructing an actual profile, validating an instrument or predicting weather hazards.

Return layer lapse rate and a reference residual.

When to use this tool

Use Tropopause Layer Lapse Rate Gap when checking the stated atmospheric pressure, temperature, humidity or water-basis term.

How to use the tool and how it works

  1. Enter lowerTemperature, upperTemperature, thicknessMetres, referenceKelvinPerKilometre. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read lapseKelvinPerKilometre, gap. Use the output convention below.

Return layer lapse rate and a reference residual. Require thicknessMetres > 0; lapseKelvinPerKilometre = 1000*(lowerTemperature-upperTemperature)/thickness, gap subtracts supplied reference.1

Input fieldMeaning and unitsAccepted input
lowerTemperatureLower TemperatureRequired. Finite number.
upperTemperatureUpper TemperatureRequired. Finite number.
thicknessMetresThickness MetresRequired. Finite number; strictly above 0.
referenceKelvinPerKilometreReference Kelvin Per KilometreRequired. Finite number.
Output fieldInterpretationReturned shape
lapseKelvinPerKilometrePositive when temperature decreases upward over the supplied layer.Required. Finite number.
gapSigned difference under the stated comparison convention, with matching units.Required. Finite number.
json
{
  "input": {
    "lowerTemperature": 220,
    "upperTemperature": 216,
    "thicknessMetres": 2000,
    "referenceKelvinPerKilometre": 2
  },
  "output": {
    "lapseKelvinPerKilometre": 2,
    "gap": 0
  }
}

Limitations and assumptions

  • Positive means cooling upward; this does not locate a tropopause, assess a full lapse-rate criterion or validate observations.
  • Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Use verified observations and an appropriate complete thermodynamic/profile analysis with explicit units, references and moisture assumptions for meteorological conclusions.

References

  1. Calculation and input contract: atmospheric-science/tropopause-layer-lapse-rate-gap — tool.io

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