# Mathematical model description - IMACLIM

From IAMC-Documentation

Model Documentation - IMACLIM | |
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Corresponding documentation | |

Model information | |

Institution | Centre international de recherche sur l'environnement et le développement (CIRED), Societe de Mathematiques Appliquees et de Sciences Humaines (SMASH) |

Concept | Hybrid: general equilibrium with technology explicit modules. Recursive dynamics: each year the equilibrium is solved (system of non-linear equations), in between two years parameters to the equilibrium evolve according to specified functions. |

Solution method | Imaclim-R is implemented in Scilab, and uses the fonction fsolve from a shared C++ library to solve the static equilibrium system of non-linear equations. |

Anticipation | Recursive dynamics: each year the equilibrium is solved (system of non-linear equations), in between two years parameters to the equilibrium evolve according to specified functions. |

## Equations of the static equilibria

The calculation of the equilibria determines the following variables at each date t : relative prices, wages, labour, quantities of goods and services including energy, value flows, physical flows, capacity utilization.

**Equations of the static equilibrium**

Bold=variable

k index represents regions, i and j indexes represents sectors.

t refers to the date of the equilibrium, (t-1) to the previous equilibrium.