The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 1 Stylized World Input–Output table
From: International trade barriers and regional employment: the case of a no-deal Brexit
Intermediate use | Final use | Total use | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Country 1 | . | Country M | Countries | ||||||||||
Industries | Industries | ||||||||||||
1 | . | N | . | 1 | . | N | 1 | . | M | (x) | |||
Supply | EU- | Ind. 1 | \(x_{11}^{11}\) | \(x_{1N}^{11}\) | \(x_{M1}^{11}\) | \(x_{MN}^{11}\) | \(y_{1}^{11}\) | \(y_{M}^{11}\) | \(x^{11}\) | ||||
Country | . | ||||||||||||
(1) | Ind. N | \(x_{11}^{1N}\) | \(x_{1N}^{1N}\) | \(x_{M1}^{1N}\) | \(x_{MN}^{1N}\) | \(y_{1}^{1N}\) | \(y_{M}^{1N}\) | \(x^{1N}\) | |||||
EU- | Ind. 1 | \(x_{11}^{m1}\) | \(x_{1N}^{m1}\) | \(x_{M1}^{m1}\) | \(x_{MN}^{m1}\) | \(y_{1}^{m1}\) | \(y_{M}^{m1}\) | \(x^{m1}\) | |||||
Country | . | ||||||||||||
(m) | Ind. N | \(x_{11}^{mN}\) | \(x_{1N}^{mN}\) | \(x_{M1}^{mN}\) | \(x_{MN}^{mN}\) | \(y_{1}^{mN}\) | \(y_{M}^{mN}\) | \(x^{mN}\) | |||||
United | Ind. 1 | \(x_{11}^{m+1,1}\) | \(x_{1N}^{m+1,1}\) | \(x_{M1}^{m+1,1}\) | \(x_{MN}^{m+1,1}\) | \(y_{1}^{m+1,1}\) | \(y_{M}^{m+1,1}\) | \(x^{m+1,1}\) | |||||
Kingdom | . | ||||||||||||
(\(m+1\)) | Ind. N | \(x_{11}^{m+1,N}\) | \(x_{1N}^{m+1,N}\) | \(x_{M1}^{m+1,N}\) | \(x_{MN}^{m+1,N}\) | \(y_{1}^{m+1,N}\) | \(y_{M}^{m+1,N}\) | \(x^{m+1,N}\) | |||||
Non-EU | Ind. 1 | \(x_{11}^{m+2,1}\) | \(x_{1N}^{m+2,1}\) | \(x_{M1}^{m+2,1}\) | \(x_{MN}^{m+2,1}\) | \(y_{1}^{m+2,1}\) | \(y_{M}^{m+2,1}\) | \(x^{m+2,1}\) | |||||
Country | . | ||||||||||||
(\(m+2\)) | Ind. N | \(x_{11}^{m+2,N}\) | \(x_{1N}^{m+2,N}\) | \(x_{M1}^{m+2,N}\) | \(x_{MN}^{m+2,N}\) | \(y_{1}^{m+2,N}\) | \(y_{M}^{m+2,N}\) | \(x^{m+2,N}\) | |||||
Non-EU | Ind. 1 | \(x_{11}^{M1}\) | \(x_{1N}^{M1}\) | \(x_{M1}^{M1}\) | \(x_{MN}^{M1}\) | \(y_{1}^{M1}\) | \(y_{M}^{M1}\) | \(x^{M,1}\) | |||||
Country | . | ||||||||||||
(M) | Ind. N | \(x_{11}^{MN}\) | \(x_{1N}^{MN}\) | \(x_{M1}^{MN}\) | \(x_{MN}^{MN}\) | \(y_{1}^{MN}\) | \(y_{M}^{MN}\) | \(x^{M,N}\) | |||||
Value added by labour and capital | |||||||||||||
Gross output (\(x'\)) | \(x^{11}\) | \(x^{1N}\) | \(x^{M,1}\) | \(x^{M,N}\) | |||||||||