Ecological barriers and convergence: a note on geometry in spatial growth models

Giorgio Fabbri

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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 the conditions on the geographical structure that guarantee convergence of the detrended capital across locations in the long run, and those inducing spatial capital agglomeration.

Keywords: agglomeration; Riemannian manifolds; infinite di-mensional optimal control problems; Dynamical spatial model; growth; convergence (search for similar items in EconPapers)
Date: 2015-05-27
New Economics Papers: this item is included in nep-geo, nep-gro and nep-ure
Note: View the original document on HAL open archive server: https://hal.science/hal-01159253v1
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Related works:
Working Paper: Ecological Barriers and Convergence: a Note on Geometry in Spatial Growth Models (2014)
Working Paper: Ecological Barriers and Convergence: A Note on Geometry in Spatial Growth Models (2014)
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