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Notation and Diagrams

Systems representing supply chains are beste understood when visualized using a well-defined diagrammatic notation. The greengraph package uses a notation formalized by Weinold in 2025. It defines the following elements, describing nodes and edges of the graph diagram:

Image Type Description Notes
node sector \(A\) Squares represent sectors of the input-output (="sectoral system"). They are labeled using capital letters.
node process \(1\) Circles represent production processes of the life-cycle inventory (="process system"). They are labeled using numbers.
node burden \(\alpha\) Diamonds represent environmental burdens or satellite extensions. They are labeled using lowercase Greek letters.
edge process flow \(a^P_{21}\) Dashed lines represent flow information derived from the process system.
edge process flow \(a^S_{BA}\) Solid lines represent flow information derived from the sectoral system.
edge upstream flow \(c^U_{B1}\) Red-colored lines represent flow from sectors to processes. For historical reasons, this is named upstream flow.
edge downstream flow \(c^D_{2A}\) Blue-colored lines represent flow from processes to sectors. For historical reasons, this is named downstream flow.

Using this notation, the matrices underlying a simple example system can easily be reproduced. For example, the example system: