Ecological Barriers and Convergence: a Note on Geometry in Spatial Growth Models

Giorgio Fabbri

No 2014014, LIDAM Discussion Papers IRES from Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES)

Abstract: We introduce an AK spatial growth model with a general geographical structure. The dynamics of the economy is described by a partial differential equation on a Riemannian manifold. The morphology interacts with the spatial dynamics of the capital and is one determinant of the qualitative behavior of the economy. We characterize on the geographical structure the conditions that guarantee, in the long run, the convergence of the detrended capital across locations and those inducing spatial capital agglomeration

Keywords: Dynamical spatial model; growth; agglomeration; convergence; infinite dimensional optimal control problems; Riemannian manifolds (search for similar items in EconPapers)
JEL-codes: C61 O4 R1 (search for similar items in EconPapers)
Pages: 14
Date: 2014-05-30
New Economics Papers: this item is included in nep-geo, nep-gro and nep-ure
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Related works:
Working Paper: Ecological barriers and convergence: a note on geometry in spatial growth models (2015)
Working Paper: Ecological Barriers and Convergence: A Note on Geometry in Spatial Growth Models (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:ctl:louvir:2014014

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