Abstract

Sankey diagrams are used to visualise flows of materials and energy in many applications, to aid understanding of losses and inefficiencies, to map out production processes, and to give a sense of scale across a system. As available data and models become increasingly complex and detailed, new types of visualisation may be needed. For example, when looking for opportunities to reduce steel scrap through supply chain integration, it is not enough to consider simply flows of “steel” — the alloy, thickness, coating and forming history of the metal can be critical. This paper combines data-visualisation techniques with the traditional Sankey diagram to propose a new type of “hybrid” Sankey diagram, which is better able to visualise these different aspects of flows.There is more than one way to visualise a dataset as a Sankey diagram, and different ways are appropriate in different situations. To facilitate this, a systematic method is presented for generating different hybrid Sankey diagrams from a dataset, with an accompanying open-source Python implementation. A common data structure for flow data is defined, through which this method can be used to generate Sankey diagrams from different data sources such as material flow analysis, life-cycle inventories, or directly measured data. The approach is introduced with a series of visual examples, and applied to a real database of global steel flows.

Highlights

  • Sankey diagrams are used to visualise flows of energy, materials or other resources in a variety of applications. Schmidt (2008a) reviewed the history and uses of these diagrams

  • Preprint submitted to Resources, Conservation and Recycling the magnitude of flows is shown by the link1 widths, which are proportional to an extensive property of the flow such as mass or energy (Schmidt, 2008b). Creating these diagrams is supported by software tools such as e!Sankey, and several Life-Cycle Assessment (LCA) and Material Flow Analysis (MFA) packages include features to create Sankey diagrams

  • This paper explores how these two types of Sankey diagram can be united, to develop a new “hybrid” Sankey diagram

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Summary

Introduction

Sankey diagrams are used to visualise flows of energy, materials or other resources in a variety of applications. Schmidt (2008a) reviewed the history and uses of these diagrams. Preprint submitted to Resources, Conservation and Recycling the magnitude of flows is shown by the link widths, which are proportional to an extensive property of the flow such as mass or energy (Schmidt, 2008b) Creating these diagrams is supported by software tools such as e!Sankey (ifu Hamburg, 2017), and several Life-Cycle Assessment (LCA) and Material Flow Analysis (MFA) packages include features to create Sankey diagrams. A hybrid Sankey diagram deals directly with the multidimensional nature of the data, for example to show how different sectors use different thicknesses of steel, and how much of each is controlled via direct sales or via distributors This remains embedded within a traditional Sankey diagram showing real flows and real processes, with mass conserved throughout.

Common database structure
Concepts and terminology
Data cubes
Hierarchies
Specifying the desired diagram
Summary
Aggregating flows into Sankey diagrams
Final diagram structure
Flow values from database
Implementation and applications
Discussion
Future work
Full Text
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