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Updated: Jul 16, 2026

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Published on: April 17, 2021
A mixed-unit input-output model for environmental life-cycle assessment and material flow analysis
Troy Hawkins1, Chris Hendrickson, Cortney Higgins
1Green Design Institute, Department of Civil and Environmental Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA.
This study integrates materials flow analysis and economic input-output models to track economic and material flows. The new mixed-unit model enhances supply chain analysis for materials like lead and cadmium.
Area of Science:
- Environmental Science
- Economics
- Systems Analysis
Background:
- Traditional materials flow analysis models track material lifecycles.
- Economic input-output models assess economic and environmental impacts across supply chains.
- Existing models lack integrated tracking of both economic transactions and material flows.
Purpose of the Study:
- To develop a novel mixed-unit input-output model.
- To integrate materials flow analysis with economic input-output modeling.
- To enable detailed tracking of economic and material flows in response to demand.
Main Methods:
- Augmented a U.S. Bureau of Economic Analysis input-output matrix with U.S. Geological Survey material flow data.
- Formulated mixed-unit input-output models for lead and cadmium.
- Demonstrated model capabilities with illustrative examples.
Main Results:
- The developed model combines the strengths of both materials flow analysis and input-output modeling.
- Achieved detailed tracking of material flows through entire supply chains.
- Provided a framework for analyzing economic and material impacts of production changes.
Conclusions:
- The mixed-unit input-output model offers enhanced capabilities for economic and environmental systems analysis.
- The model facilitates comprehensive tracking of material flows and economic transactions.
- Further research can explore model uncertainty and extensions for broader applications.
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