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Table 1 A schematic domestic production (input–output) network

From: The strength of domestic production networks: an economic application of the Finn cycling index

  Sector 1 Sector 2 Sector N Final use Export Total output
Sector 1 \(w_{11}\) \(w_{12}\) \(w_{1N}\) \(z_{1}\) \(y_{1}\) \(x_{1}\)
Sector 2 \(w_{21}\) \(w_{22}\) \(w_{2N}\) \(z_{2}\) \(y_{2}\) \(x_{2}\)
..
Sector N \(w_{N1}\) \(w_{N2}\) \(w_{NN}\) \(z_{N}\) \(y_{N}\) \(x_{N}\)
Value added \(v_{1}\) \(v_{2}\) \(v_{N}\)    
Import \(m_{1}\) \(m_{2}\) \(m_{N}\)    
Total output \(x_{1}\) \(x_{2}\) \(x_{N}\)