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In the last year, a central issue in regional economic growth debate has been represented by the empirical analysis of Verdoorn's law related to the long-term dynamic relationship between the rate of growth in output and the productivity growth due to increasing returns. Several papers have tested Verdoorn's law on European countries as well as many other world economies. Recently, attempts have been made to provide foundations for a spatial version of the original law specification. The main contributions were dedicated to the inclusion of spatial dependence in the economic model. Surprisingly, in the literature on Verdoom's law the analysis of the spatial heterogeneity is not often considered. The aim of this paper is the regional analysis of the spatial dependence and heterogeneity in Verdoorn's law, identifying spatial regimes that can be interpreted as clusters of productivity growth in European regions at NUTS 2 level. To pursue this objective, an optimization algorithm for the identification of groups is used. This constitutes a modified version of Simulated Annealing. [ABSTRACT FROM AUTHOR]

Over the last two decades many European governments have pursued ambitious research and development (R&D) policies with the aim of fostering innovation and economic growth in peripheral regions of Europe. The question is whether these policies are paying off. Arguments such as the need to reach a minimum threshold of research, the existence of important distance decay effects in the diffusion of technological spillovers, the presence of increasing returns to scale in R&D investments, or the unavailability of the necessary socio-economic conditions in these regions to generate innovation seem to cast doubts about the possible returns of these sort of policies. This paper addresses this question. A two-step analysis is used in order to first identify the impact of R&D investment of the private, public, and higher education sectors on innovation (measured as the number of patent applications per million population). The influence of innovation and innovation growth on economic growth is then addressed. The results indicate that R&D investment, as a whole, and higher education R&D investment in peripheral regions of the EU, in particular, are positively associated with innovation. The existence and strength of this association are, however, contingent upon region-specific socio-economic characteristics, which affect the capacity of each region to transform R&D investment into innovation and, eventually, innovation into economic growth. [ABSTRACT FROM AUTHOR]