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