IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v28y1996i8p1507-1517.html
   My bibliography  Save this article

Input—Output Cross Analysis: A Theoretical Account

Author

Listed:
  • M Sonis

    (Department of Geography, Bar-Ilan University, 52900 Ramat-Gan, Israel)

  • J Oosterhaven

    (Department of Economics, University of Groningen, Postbus 800, 9700 AV Groningen, The Netherlands)

Abstract

In this paper we deal with extractions of one sector (region) or a number of sectors (regions) from an (interregional) input—output system. When a certain number of sectors is taken out of the input—output matrix one obtains a cross. It is shown that the Leontief-inverse for a cross can be decomposed into the product of three matrices, OUT*INTRA*IN , where INTRA represents all intracross economic interactions, IN represents all effects from the rest of economy upon the cross, and OUT represents all effects from the cross upon the rest of economy. Furthermore, we present a general scheme of additive as well as multiplicative decompositions of the Leontief-inverse, reflecting the hierarchical decomposition of the matrix of input coefficients into the sum of crosses. These decompositions provide us with the means to find new insights into efficient aggregation, importance of regions, and issues of industrial complexes in inter alia input—output analysis.

Suggested Citation

  • M Sonis & J Oosterhaven, 1996. "Input—Output Cross Analysis: A Theoretical Account," Environment and Planning A, , vol. 28(8), pages 1507-1517, August.
    • Handle: RePEc:sae:envira:v:28:y:1996:i:8:p:1507-1517
    DOI: 10.1068/a281507
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a281507
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a281507?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Sonis, Michael & Guilhoto, Joaquim José Martins & Hewings, Geoffrey J.D. & Martins, Eduardo B., 1995. "Linkages, key sectors and structural change: some new perspectives," MPRA Paper 54754, University Library of Munich, Germany.
    2. 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 111-136, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Lenzen, Manfred, 2003. "Environmentally important paths, linkages and key sectors in the Australian economy," Structural Change and Economic Dynamics, Elsevier, vol. 14(1), pages 1-34, March.
    2. Erasmia Valma, 2014. "The Effect of Sector Loss on the Internal Structure of Regional Economies," European Research Studies Journal, European Research Studies Journal, vol. 0(4), pages 93-110.
    3. Thomas Wiedmann, 2017. "An input–output virtual laboratory in practice – survey of uptake, usage and applications of the first operational IELab," Economic Systems Research, Taylor & Francis Journals, vol. 29(2), pages 296-312, April.
    4. Cámara, Angeles & Medina, Ana, 2021. "Measuring the economic impact of immigrant workers exit from Madrid region labor market," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 49, pages 65-88.
    5. Çağatay, Selim & Taşdoğan, Celal & Özeş, Reyhan, 2017. "Analysing the impact of targeted bio-ethanol blending ratio in Turkey," Bio-based and Applied Economics Journal, Italian Association of Agricultural and Applied Economics (AIEAA), vol. 6(2), September.
    6. Suh, Sangwon, 2004. "Functions, commodities and environmental impacts in an ecological-economic model," Ecological Economics, Elsevier, vol. 48(4), pages 451-467, April.
    7. Chapa Cantú Joana Cecilia & Mosqueda Chávez Marco Tulio & Rangel González Erick, 2019. "Social Accounting Matrices for the Regiones of Mexico," Working Papers 2019-20, Banco de México.
    8. Gui, Shusen & Mu, Hailin & Li, Nan, 2014. "Analysis of impact factors on China's CO2 emissions from the view of supply chain paths," Energy, Elsevier, vol. 74(C), pages 405-416.
    9. Dario Debowicz, 2016. "A social accounting matrix for Iraq," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 5(1), pages 1-19, December.
    10. Liis LILL, 2008. "Assessing Economic Complexity in some OECD countries with Input-Output Based Measures," EcoMod2008 23800082, EcoMod.
    11. Susana Santos, 2004. "Distribution of aggregate income in Portugal from 1995 to 2000 within a SAM (Social Accounting Matrix) framework. Modeling the household sector," Working Papers Department of Economics 2004/12, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    12. Stanislav Shmelev & Harrison Roger Brook, 2021. "Macro Sustainability across Countries: Key Sector Environmentally Extended Input-Output Analysis," Sustainability, MDPI, vol. 13(21), pages 1-46, October.
    13. Wei Yang & Junnian Song, 2019. "Depicting Flows of Embodied Water Pollutant Discharge within Production System: Case of an Undeveloped Region," Sustainability, MDPI, vol. 11(14), pages 1-15, July.
    14. Cardenete Flores, M.Alejandro & Delgado López, María Del Carmen & Fuentes Saguar, Patricia D., 2013. "Análisis del impacto de los Fondos Europeos en Andalucía: 2000-2006/Impact Assessment of the European Funds in Andalusia: 2000-2006," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 31, pages 247(26)-247, Enero.
    15. Noleen Pisa & Wilma Viviers & Riaan Rossouw, 2017. "Enhancing Industrial Cluster Formation Through the Realistic Export Opportunities of the TRADE-DSM," South African Journal of Economics, Economic Society of South Africa, vol. 85(3), pages 386-404, September.
    16. David Font Vivanco & Ranran Wang & Sebastiaan Deetman & Edgar Hertwich, 2019. "Unraveling the Nexus: Exploring the Pathways to Combined Resource Use," Journal of Industrial Ecology, Yale University, vol. 23(1), pages 241-252, February.
    17. Ditya Agung Nurdianto, 2016. "Economic Impacts of a Carbon Tax in an Integrated ASEAN," EEPSEA Special and Technical Paper tp201604t5, Economy and Environment Program for Southeast Asia (EEPSEA), revised Apr 2016.
    18. Javier Ferri & Ezequiel Uriel, 2000. "Multiplicadores contables y análisis estructural en la matriz de contabilidad social. Una aplicación al caso español," Investigaciones Economicas, Fundación SEPI, vol. 24(2), pages 419-453, May.
    19. Sofyan SYAHNUR & Klaus FROHBERG, 2008. "The Impact of Oil Price Behavior on the Poor in Nanggroe Aceh Darussalam Province, Indonesia," EcoMod2008 23800139, EcoMod.
    20. Ana Salome Garcia Muniz & Antonio Morillas Raya & Carmen Ramos Carvajal, 2008. "Key Sectors: A New Proposal from Network Theory," Regional Studies, Taylor & Francis Journals, vol. 42(7), pages 1013-1030.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:28:y:1996:i:8:p:1507-1517. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.