lowEBMs.Packages.ModelEquation

In lowEBMs.Packages.ModelEquation modules are defined which build the EBM from functions given to it. The operation of this modules is adding the given functions \(F_1,F_2,...F_i\) according to the following scheme (compare physical background):

\[y= \frac{1}{C_{ao}} \cdot (F_1 + F_2 + ... + F_i),\]

with the deviation function \(y=\frac{dT}{dt}\) required by the lowEBMs.Packages.RK4.rk4alg and \(C_{ao}\) the heat capacity of the system which is passed to the right side of the model equation.

lowEBMs.Packages.ModelEquation.model_equation(eqparam, funccomp)[source]

The module which builds and evaluates the EBM by adding functions parsed through the funccomp.

Input has to be given as Dictionaries supplied by lowEBMs.Packages.Configuration.importer from a specific configuration.ini.

Function-call arguments

Parameters:
  • eqparam (dict) –

    Configuration dictionary containing additional information for the model equation:

    • C_ao: The systems heat capacity (times the height of the system)
      • type: float
      • unit: Joule*Meter/Kelvin
      • value: > 0
  • funccomp (dict) –

    Configuration 2D dictionary containing function names and function parameters used:

    • funcnames: a dictionary of names of functions defined in lowEBMs.Packages.Functions which are added up. See here for a list of functions
    • funcparams: a dictionary of functions parameters corresponding to the functions chosen within funcnames. For details on the parameters see the specific function here
Returns:

The temperature gradient \(\frac{dT}{dt}\) (Kelvin/seconds)
Return type:

float or array(float), depending on 0D EBM or 1D EBM. In 1D, output is an array containing the temperature gradient for each latitudinal belt.