########### Terminology ########### 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 | | | +---------------+----------------------------------------------+----------------------+------------------------------------+---------------------------------------------------------------------------------------------------------------------------------+