Tutorials

Here given is a list of tutorial-/demonstration-EBMs which are supplemented within the installation directory under ~/lowEBMs/Tutorials/ or can otherwise be accessed from the git repository under https://github.com/BenniSchmiedel/Climate-Modelling/tree/master/lowEBMs/Tutorials.

For the physical background see Model types and the explanation of usage see How to use. The explanation of additional functions and ther usage can be looked up in the functions’ definitions or in the referenced literature.

0D EBM (simple)

A 0D EBM equipped with:

  • constant absorbed downward solar radiation flux
  • upward radiation flux according to the Stefan-Boltzmann law

0D EBM (\(CO_2\) forced)

A 0D EBM equipped with:

  • constant absorbed downward solar radiation flux
  • upward radiation flux according to the Stefan-Boltzmann law
  • \(CO_2\) radiative forcing according to estimates by Myhre

The tutorial-file of this EBM uses a \(CO_2\)-forcing based on 1958 - present atmospheric \(CO_2\)-concentrations (the Keeling-curve)

0D EBM (volcanic forced)

A 0D EBM equipped with:

  • constant absorbed downward solar radiation flux
  • upward radiation flux according to the Stefan-Boltzmann law
  • volcanic radiative forcing given by the difference in \(Wm^{-2}\)

The tutorial-file of this EBM uses a randomly generated radiative forcing as volcanic-forcing. To truly consider volcanic radiative forcing the gas concentrations have to be converted into the amount of radiative forcing which is not implemented for now.

1D EBM Budyko-type (static albedo)

A 1D EBM equipped with:

  • static albedo distribution with three regions of albedo regions → constant absorbed downward solar radiation flux
  • upward radiation flux according to Budyko’s radiation law
  • a symmetric diffusive transfer energy flux according to Budyko

The parameters of the tutorial-file are chosen to reproduce the EBM as it was introduced by Budyko (1968).

1D EBM Budyko-type (temperature-dependant albedo)

A 1D EBM equipped with:

  • temperature dependant albedo distribution with three regions of albedo regions → dynamic absorbed downward solar radiation flux
  • upward radiation flux given by the empirical law according to Budyko
  • a symmetric diffusive transfer energy flux according to Budyko

The parameters of the tutorial-file are chosen to reproduce the EBM as it was introduced by Budyko (1968). The temperature dependence of the albedo is defined in Functions.

1D EBM Sellers-type (temperature-dependant albedo)

A 1D EBM equipped with:

  • dynamic albedo distribution with a continuous temperature dependant albedo function → dynamic absorbed downward solar radiation flux
  • upward radiation flux given by an edited Stefan-Boltzmann radiation law according to Sellers (1969)
  • transfer energy flux according to Sellers
  • temperature distributions corrected by the average latitudinal band elevation

The parameters of the tutorial-file are chosen to reproduce the EBM as it was introduced by Sellers (1969).

1D EBM Sellers-type, Volcanic Forcing

A 1D EBM equipped with:

  • dynamic albedo distribution with a continuous temperature dependant albedo function → dynamic absorbed downward solar radiation flux
  • upward radiation flux given by an edited Stefan-Boltzmann radiation law according to Sellers (1969)
  • transfer energy flux according to Sellers
  • temperature distributions corrected by the average latitudinal band elevation
  • volcanic radiative forcing, imported from an external dataset

The parameters of the tutorial-file are chosen to reproduce the EBM as it was introduced by Sellers (1969). The volcanic radiative forcing was created with the ForcingGenerator-module, an adopted simplified version of the EVA-Generator from Toohey (2016).