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On Potentialized Partial Finite Difference Equations: Analyzing The Complexity Of Knowledge-Based Spatial Economic Developments

Author

Listed:
  • Bernard COUTROT

    (Universite de Bretagne Sud, France)

  • Jean H.P. PAELINCK

    (George Mason University, School of Public Policy, USA)

  • Alain SALLEZ

    (Professor Emeritus, ESSEC, Paris)

  • Ryan SUTTER

    (George Mason University, School of Public Policy, USA)

Abstract

Knowledge-based regional and urban studies are plentiful; some systematics might be in order at this junction, so first the different links between economic production units in geographical space have to be clearly defined. Then a tool to represent the dynamics of those links should be selected; potentialized partial differential equations (PPDEs) are an appropriate tool to represent space-time relations in pre-geographical space. In practice, however, only discrete data are available, hence the question of how finite differences could generate PPFDEs (potentialized partial finite difference equations). A case has been worked out and simulated, showing a high degree of spatio-temporal complexity. Spatial econometric estimation is possible, as other work has shown; so an application to empirical data for France could be presented. Different versions of the latter have been worked out; they are presented in succession, followed by a last exercise on US data.

Suggested Citation

  • Bernard COUTROT & Jean H.P. PAELINCK & Alain SALLEZ & Ryan SUTTER, 2009. "On Potentialized Partial Finite Difference Equations: Analyzing The Complexity Of Knowledge-Based Spatial Economic Developments," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 29, pages 237-264.
    • Handle: RePEc:tou:journl:v:29:y:2009:p:237-264
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    References listed on IDEAS

    as
    1. Zoltan J. Acs & Henri L. F. Groot & Peter Nijkamp (ed.), 2002. "The Emergence of the Knowledge Economy," Advances in Spatial Science, Springer, number 978-3-540-24823-1, Fall.
    2. Richard Nahuis, 2003. "Knowledge, Inequality and Growth in the New Economy," Books, Edward Elgar Publishing, number 3034.
    3. Manfred M. Fischer & Javier Revilla Diez & Folke Snickars, 2001. "Metropolitan Innovation Systems," Advances in Spatial Science, Springer, number 978-3-662-04630-2, Fall.
    4. Johannes Bröcker & Dirk Dohse & Rüdiger Soltwedel (ed.), 2003. "Innovation Clusters and Interregional Competition," Advances in Spatial Science, Springer, number 978-3-540-24760-9, Fall.
    5. J. Barkley Rosser Jr. (ed.), 2004. "Complexity in Economics," Books, Edward Elgar Publishing, volume 0, number 2709.
    6. Paelinck, J., 1978. "Spatial econometrics," Economics Letters, Elsevier, vol. 1(1), pages 59-63.
    7. Aldo Geuna & Ammon J. Salter & W. Edward Steinmueller (ed.), 2003. "Science and Innovation," Books, Edward Elgar Publishing, number 2831.
    8. Jean Paelinck, 2000. "Controlling Complexity in Spatial Modelling," CESifo Working Paper Series 362, CESifo.
    9. Johan F. Kaashoek & Jean H. P. Paelinck, 2001. "Potentialised partial differential equations in spatial economics: Some further results on the potentialising function," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 35(3), pages 463-482.
    10. Magnus Lagnevik & Ingegerd Sjöholm & Anders Lareke & Jacob Östberg, 2003. "The Dynamics of Innovation Clusters," Books, Edward Elgar Publishing, number 3067.
    11. Riccardo Leoncini & Sandro Montresor, 2003. "Technological Systems and Intersectoral Innovation Flows," Books, Edward Elgar Publishing, number 2402.
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    Cited by:

    1. Paelinck, Jean & Mur, Jesús & Trivez, F. Javier, 2015. "Modelos para datos espaciales con estructura transversal o de panel. Una revisión/Models for Spatial Data with Panel or Cross-Sectional Structure. A Review," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 33, pages 7-30, Enero.
    2. Paelinck, Jean H. P., 2011. "On Some Analytical Statistics for Geographic Patterns: From Non-linearity to Linearity," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 21, pages 11-18.

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    More about this item

    Keywords

    COMPLEXITY; SPATIAL ECONOMETRICS; POTENTIAL; FINITE DIFFERENCES;
    All these keywords.

    JEL classification:

    • F13 - International Economics - - Trade - - - Trade Policy; International Trade Organizations
    • F15 - International Economics - - Trade - - - Economic Integration
    • Q17 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - Agriculture in International Trade

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