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


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  • Bernard COUTROT

    (Université 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)

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    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.

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    Bibliographic Info

    Article provided by Region et Developpement, LEAD, Universite du Sud - Toulon Var in its journal Région et Développement.

    Volume (Year): 29 (2009)
    Issue (Month): ()
    Pages: 237-264

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    Handle: RePEc:tou:journl:v:29:y:2009:p:237-264

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    1. 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, vol. 35(3), pages 463-482.
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    Cited by:
    1. Paelinck, Jean H. P., 2011. "On Some Analytical Statistics for Geographic Patterns: From Non-linearity to Linearity," Investigaciones Regionales, Asociación Española de Ciencia Regional, issue 21, pages 11-18.


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