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Calcimator

Permafrost Thaw Calculator

Thaw depth projection from temperature and soil type.

Inputs

Results

Projected active layer (m)

2.15

Current active layer (m)1.86
ALT increase (m)0.29
Stability (1=stable, 0=degrading)1
Carbon released (Mt)8.59
CO2e released (Mt)40.13
Annual CO2e (Mt/yr)0.8
CH4 fraction (%)3%
How to Use This Calculator
  1. Enter current mean annual air temperature (°C), projected warming (°C), and current thaw season length (days).
  2. Set mean thaw temperature (°C), select soil type, and enter permafrost area (km²).
  3. Set carbon density (kg C/m³) and time horizon (years).
  4. Review Projected Active Layer Thickness (m), Carbon Released (tonnes CO₂e), and Thaw Rate.

How the result changes with Thaw season (days)

Thaw season (days)Projected active layer (m)
371.34
1282.21
2372.93
3293.42

What each input means

Mean annual air temp (°C)
Current mean annual air temperature at the site.
Warming (°C)
Projected temperature increase above current baseline.
Thaw season (days)
Number of days per year with temperature above 0°C.
Mean thaw temp (°C)
Average temperature during the thaw season above 0°C.
Soil Type
Select soil type affecting thermal conductivity
Permafrost area (km²)
Area of permafrost being assessed.
Carbon density (kg C/m³)
Soil organic carbon density, typically 20-60 kg C/m³.
Time horizon (years)
Period over which carbon release is distributed.

What each result means

Projected active layer (m)
Projected active layer thickness after warming (Stefan equation).
Current active layer (m)
Current active layer thickness before warming.
ALT increase (m)
Deepening of the active layer due to warming.
Stability (1=stable, 0=degrading)
1 = stable (MAAT < -2°C), 0.5 = marginal, 0 = degrading/thawing.
Carbon released (Mt)
Total soil carbon mobilized by thaw in megatonnes.
CO2e released (Mt)
Total greenhouse gas release as CO2 equivalent (CO2 + CH4×GWP).
Annual CO2e (Mt/yr)
Average annual CO2e release over the time horizon.
CH4 fraction (%)
Approximate fraction released as methane (~3% by mass, significant due to high GWP).

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Mean annual air temp (°C) = -5, Warming (°C) = 2, Thaw season (days) = 120, Mean thaw temp (°C) = 8 = 8 input(s) provided
  2. Calculate Projected active layer
    Projected active layer = E * sqrt(ddtProjected)
    2.15 = 2.15
  3. Calculate Current active layer
    Current active layer = E * sqrt(ddtCurrent)
    1.86 = 1.86
  4. Calculate ALT increase
    ALT increase = altProjected - altCurrent
    0.29 = 0.29

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