Embodied Resource Flows and Product Flows: Combining the Absorbing Markov Chain with the Input-Output Model
AbstractWe develop the absorbing Markov chain (AMC) for describing in detail the network of paths through an industrial system taken by an embodied resource from extraction through intermediate products and finally consumer products. We refer to this as a resource-specific network. This work builds on a recent literature in industrial ecology that uses an AMC to quantify the number of times a resource passes through a recycling sector before ending up in a landfill. Our objective is to incorporate into that analysis an input-output (IO) table so that the resource paths explicitly take account of the interdependence of sectors through their reliance on intermediate products. This feature makes it possible to track multiple resources simultaneously and consistently and to represent both resources and products in mixed units. Hypothetical scenarios about technological changes and changes in consumer demand are analyzed using an IO model, and model solutions generate the AMC database. A numerical example is provided. AMC analysis describes the resource-specific networks using matrices that are derived not from the Leontief inverse but from a generalized variant of the Ghosh inverse matrix. The Leontief inverse and especially the Ghosh inverse (although often not identified as such) have been used extensively to analyze ecological systems, and this paper extends these approaches for use in studying material cycles in industrial systems. Constructing the AMC formalizes the resource-specific network analysis and generalizes the content and interpretation of the Ghosh matrix. Path-based analyses derived from AMC theory are discussed in relation to the set of techniques called Structural Path Analysis (SPA). The paper concludes by identifying the three most critical enhancements to the IO model needed for analyzing material cycles: the simultaneous incorporation of waste-processing sectors, stock and flow relationships, and international trade. The idea is to implement an AMC after each model extension. The modeling framework is intended for analyses such as: tracking a resource extracted in one region to landfills in other regions, evaluating ways to intensify secondary recovery at key junctures in-between. There are other ways, of course, to approach such an analysis, but the combination of an extended IO model and an AMC, representing both resources and products in mixed units, provides a comprehensive, systematic and standardized approach that includes many features that are valued in industrial ecology and builds directly on a number of active research programs.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Rensselaer Polytechnic Institute, Department of Economics in its series Rensselaer Working Papers in Economics with number 1002.
Date of creation: Jan 2010
Date of revision:
Find related papers by JEL classification:
- C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
- F2 - International Economics - - International Factor Movements and International Business
- Q5 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-01-30 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Khan, Haider A. & Thorbecke, Erik, 1989. "Macroeconomic effects of technology choice: Multiplier and structural path analysis within a SAM framework," Journal of Policy Modeling, Elsevier, vol. 11(1), pages 131-156.
- Anders Hammer Str�mman & Faye Duchin, 2005.
"A World Trade Model with Bilateral Trade Based on Comparative Advantage,"
Rensselaer Working Papers in Economics
0509, Rensselaer Polytechnic Institute, Department of Economics, revised Jun 2006.
- Anders Hammer Str�mman & Faye Duchin, 2006. "A world trade model with bilateral trade based on comparative advantage," Economic Systems Research, Taylor & Francis Journals, vol. 18(3), pages 281-297.
- Faye Duchin, 2003.
"A World Trade Model Based on Comparative Advantage with m Regions, n Goods, and k Factors,"
Rensselaer Working Papers in Economics
0309, Rensselaer Polytechnic Institute, Department of Economics, revised Mar 2004.
- Faye Duchin, 2005. "A world trade model based on comparative advantage with m regions, n goods, and k factors," Economic Systems Research, Taylor & Francis Journals, vol. 17(2), pages 141-162.
- Defourny, Jacques & Thorbecke, Erik, 1984. "Structural Path Analysis and Multiplier Decomposition within a Social Accounting Matrix Framework," Economic Journal, Royal Economic Society, vol. 94(373), pages 111-36, March.
- Leontief, Wassily & Duchin, Faye, 1986. "The Future Impact of Automation on Workers," OUP Catalogue, Oxford University Press, number 9780195036237, October.
- Eckelman, Matthew J. & Daigo, Ichiro, 2008. "Markov chain modeling of the global technological lifetime of copper," Ecological Economics, Elsevier, vol. 67(2), pages 265-273, September.
- Leontief, Wassily, 1977. "The future of the world economy+," Socio-Economic Planning Sciences, Elsevier, vol. 11(3), pages 171-182.
- Glen Peters & Edgar Hertwich, 2006. "Structural analysis of international trade: Environmental impacts of Norway," Economic Systems Research, Taylor & Francis Journals, vol. 18(2), pages 155-181.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (John Heim) The email address of this maintainer does not seem to be valid anymore. Please ask John Heim to update the entry or send us the correct address.
If references are entirely missing, you can add them using this form.