This paper tries to reconcile growth and geographical economics by dealing directly with capital accumulation through time and space and by seeing growth convergence and spatial agglomeration as jointly generated by dynamic processes displaying pattern formation. It presents a centralized economy in which a Bergson-Samuelson- Millian central planner finds a flow of optimal distributions of consumption, subject to a spatial-temporal capital accumulation budget constraint. The main conclusions are: first, if the behavioral parameters are symmetric, but there is an asymmetric distribution of the capital stock, then the long run asymptotic distribution will be spatially homogeneous; second, if there is homogeneous distribution of the capital stock, but there is an asymmetric shock in any parameter, then the economy will converge towards a spatially heterogeneous asymptotic state; third, spatially heterogeneous asymptotic states will only emerge exogenously, not endogenously; fourth, the spatial propagation mechanism can give birth, when the production function is close to linear, to a Turing instability, which implies that for some parameter values, a conditionally stable spacetime distribution should display spatial pattern formation.
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Paper provided by Department of Economics at the School of Economics and Management (ISEG), Technical University of Lisbon. in its series Working Papers with number
2004/14.
Length: Date of creation: 2004 Date of revision: Handle: RePEc:ise:isegwp:wp142004
Contact details of provider: Postal: Department of Economics, School of Economics and Management (ISEG), Technical University of Lisbon, Rua do Quelhas 6, 1200-781 LISBON, PORTUGAL Web page: http://www.iseg.utl.pt/departamentos/economia/
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Martin, Philippe & Ottaviano, Gianmarco I P, 2001.
"Growth and Agglomeration,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 947-68, November.
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