The Official Journal of the Pan-Pacific Association of Input-Output Studies (PAPAIOS)
Table 5 Emission attribution for consumption and production side.
From: Tracking the PM2.5 inventories embodied in the trade among China, Japan and Korea
\( i,j,k \in \left\{ {1,2, \ldots ,mn} \right\} \) | Consumption attribution | Production attribution |
|---|---|---|
Step 0 (final attribution) | \( {\text{fc}}_{i}^{0} = e_{i} y_{i} \) | \( {\text{fp}}_{i}^{0} = {\mathbf{E}}_{i:} {\mathbf{y}} \) |
Step 1 | \( {\text{fc}}_{j}^{1} = e_{j} {\mathbf{A}}{}_{j:}{\mathbf{y}} \) | \( {\text{fp}}_{\text{j}}^{1} = {\mathbf{E}}_{j:} {\mathbf{Ay}} \) |
Step 2 | \( {\text{fc}}_{k}^{2} = e_{k} {\mathbf{A}}{}_{k:}{\mathbf{Ay}} \) | \( {\text{fp}}_{k}^{2} = {\mathbf{E}}_{k:} {\mathbf{A}}^{2} {\mathbf{y}} \) |
Step 3 | \( {\text{fc}}_{l}^{3} = e_{l} {\mathbf{A}}{}_{l:}{\mathbf{A}}^{2} {\mathbf{y}} \) | \( {\text{fp}}_{l}^{3} = {\mathbf{E}}_{l:} {\mathbf{A}}^{3} {\mathbf{y}} \) |