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σ-convergence in the presence of spatial effects
Article first published online: 4 OCT 2006
DOI: 10.1111/j.1435-5957.2006.00083.x
Additional Information
How to Cite
Rey, S. J. and Dev, B. (2006), σ-convergence in the presence of spatial effects. Papers in Regional Science, 85: 217–234. doi: 10.1111/j.1435-5957.2006.00083.x
Publication History
- Issue published online: 4 OCT 2006
- Article first published online: 4 OCT 2006
- Received: 22 July 2005 / Accepted: 17 February 2006
- Abstract
- Article
- References
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Keywords:
- R11;
- C21
- Convergence;
- spatial dependence;
- spatial heterogeneity
Abstract. This paper explores the implications that spatial effects can hold for the application of measures of σ-convergence. The bias of a common indicator of σ-convergence is examined for a family of spatial process models including: [a] spatial lag, [b] spatial error, and [c] spatial moving average. We show that the measure of σ-convergence is sensitive to a number of distinct influences including global dispersion, spatial dependence, and a variety of forms of spatial heterogeneity. We suggest a decomposition of the convergence indicator into two components: one reflecting global dispersion, and one reflecting the influence of spatial effects. We then illustrate this approach with a case study of the U.S. states over the 1929–2000 period.