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