ON POTENTIALIZED PARTIAL FINITE DIFFERENCE EQUATIONS: ANALYZING THE COMPLEXITY OF KNOWLEDGE-BASED SPATIAL ECONOMIC DEVELOPMENTS

Bernard Coutrot (), Jean Paelinck, Alain Sallez () and Ryan Sutter ()
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Bernard Coutrot: Universite de Bretagne Sud, France
Alain Sallez: Professor Emeritus, ESSEC, Paris
Ryan Sutter: George Mason University, School of Public Policy, USA

Region et Developpement, 2009, vol. 29, 237-264

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.

Keywords: COMPLEXITY; SPATIAL ECONOMETRICS; POTENTIAL; FINITE DIFFERENCES (search for similar items in EconPapers)
JEL-codes: F13 F15 Q17 (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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