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On Boolean topological methods of structural analysis

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  • Louis de Mesnard

    (LEG - Laboratoire d'Economie et de Gestion - UB - Université de Bourgogne - CNRS - Centre National de la Recherche Scientifique)

Abstract

The properties of Boolean methods of structural analysis are used to analyze the intern structure of linear or non linear models. Here they are studied on the particular example of qualitative methods of input-output analysis. First, it is shown that these methods generate informational problems like biases when working in money terms instead of percentages, losses of information, increasing of computation time, and so on. Second, considering three ways to do structural analysis, analysis from the inverse matrix, from the direct matrix and from layers (intermediate flow matrices), these methods induce topological problems; the adjacency of the adjacency cannot be defined from the inverse matrix; the binary relation of influence may be non transitive from the direct matrix, with poorer results than with quantitative methods; for layers - based methods, the information carried out by layers is trivial.
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Suggested Citation

  • Louis de Mesnard, 2001. "On Boolean topological methods of structural analysis," Post-Print hal-00383972, HAL.
    • Handle: RePEc:hal:journl:hal-00383972
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    References listed on IDEAS

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    1. Louis de Mesnard, 1995. "A Note on Qualitative Input-Output Analysis," Post-Print hal-00383939, HAL.
    2. Holub, H. W. & Schnabl, H., 1985. "Qualitative input-output analysis and structural information," Economic Modelling, Elsevier, vol. 2(1), pages 67-73, January.
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    Cited by:

    1. Aroche Reyes, Fidel & Marquez Mendoza, Marco Antonio, 2012. "An economic network in Nonth America," MPRA Paper 61391, University Library of Munich, Germany, revised Nov 2014.
    2. MESNARD, Louis de, 2000. "Qualitative methods of structural analysis: Layer-based methods are informationally trivial," LATEC - Document de travail - Economie (1991-2003) 2000-06, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    3. Pedro Noguera-Méndez & María Semitiel-García, 2011. "The Embeddedness of the Agro-Food System in the Spanish Interindustrial Structure," International Regional Science Review, , vol. 34(1), pages 34-74, January.
    4. Robles Teigeiro, Luis & Ramos Carvajal, Carmen, 2007. "Una propuesta metodológica para la identificación y evaluación de clusters a partir de tablas Input-Output. Una aplicación para Andalucía/A Methodological Proposal for Getting the Sectorial Clusters i," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 25, pages 759-790, Diciembre.
    5. Fidel Aroche Reyes & Marco Antonio Marquez Mendoza, 2016. "Una red económica norteamericana," Ensayos Revista de Economia, Universidad Autonoma de Nuevo Leon, Facultad de Economia, vol. 0(1), pages 59-90, May.
    6. García Muñiz, Ana Salomé, 2013. "Input–output research in structural equivalence: Extracting paths and similarities," Economic Modelling, Elsevier, vol. 31(C), pages 796-803.

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    More about this item

    JEL classification:

    • C67 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Input-Output Models
    • D57 - Microeconomics - - General Equilibrium and Disequilibrium - - - Input-Output Tables and Analysis
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods

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