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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 (\(x'\)) \(x^{11}\)   \(x^{1N}\)   \(x^{M,1}\)   \(x^{M,N}\)     
  1. Source: Own exhibition. \(x_{ij}^{k\ell }\) denotes intermediate inputs used in country i and industry j and supplied by industry \(\ell\) in country k. \(y_{i}^{k\ell }\) denotes final demand in country i from industry \(\ell\) in country k. The last row and column show column and row sums, respectively