# TerminologyΒΆ

So far, there is no consistent terminology for MRIO systems and parameters in the scientific community. For pymrio, the following variable names (= attributes of the IOSystem and Extensions) are used (the alias columns are other names and abbreviations often found in the literature):

variable name | formal name | alias variable names | alias formal names | description |
---|---|---|---|---|

Z | transaction matrix | T | flow matrix | transactions matrix, inter industry flows |

A | A matrix | inter-industry coefficients (direct requirements matrix) | ||

L | Leontief inverse | B | leontief inverse (total requirements matrix) (multi regional approach) | |

Y | final demand matrix | H, y | final demand matrix (sectors x region/countries and final demand categories) | |

x | gross output | q | industry output | total output, defined as column vector |

F | factor production | extensions, stressors | Factors of productions: extensions plus value added block | |

F_Y | factor production final demand | yF, Fhh | Factor inputs/emissions of the final demand, eg the emissions from housholds | |

S | factor production coefficients | D | stressor coefficients | |

S_Y | factor production coefficients final demand | DY, yD, Shh | Factor inputs/emissions coefficients of the final demand, eg the emissions from housholds | |

D_cba | consumption-based accounts | fp, con | footprints, consumption footprints | footprint of consumption, further specification with reg (per region) or cap (per capita) possible |

D_pba | production-based accounts | terr | territorial accoutns | territorial or domestic accounts, further specification with reg (per region) or cap (per capita) possible |

D_imp | import accounts | imp | import accounts, further specification with reg (per region) or cap (per capita) possible | |

D_exp | export accounts | exp | export accounts, further specification with reg (per region) or cap (per capita) possible | |

M | multipliers | m | total requirement factors | |

pxp | iosystem products x products | mxm | ||

ixi | iosystem industries x industries | nxn |