Template-Type: ReDIF-Article 1.0 Author-Name: Beatriz Benítez-Aurioles Title: DESCOMPOSICIÓN SECTORIAL DE LA CONVERGENCIA β EN LAS PRODUCTIVIDADES DE LAS PROVINCIAS ESPAÑOLAS Abstract: Resumen: Este trabajo cuantifica la contribución de cada sector a la convergencia entre las productividades del trabajo a nivel provincial en España. La metodología se basa en el análisis shift-share distinguiendo dos periodos de análisis: 2000-2008 y 2008-2017. Los resultados demuestran que, durante el primer periodo, la Agricultura y la Administración pública y otros servicios lideraron la convergencia  incondicional. En el segundo periodo se atenuó dicha convergencia y fueron Agricultura, Otras industrias y Construcción los sectores que impulsaron el proceso. La Industria manufacturera, en cambio, tuvo un comportamiento que favoreció la divergencia, especialmente durante el primer periodo. Por otro lado, los flujos de empleo hacia sectores relativamente más productivos promovieron la convergencia de las productividades provinciales en un grado relativamente menor, en el primer periodo, y sin significación estadística en el segundo.  Abstract: There is enough empirical evidence to suggest the absolute and conditional convergence of income and productivity of Spanish provinces as a stylized fact. Nonetheless, we have found no study referring to Spanish provinces that, after confirming the β-convergence, attempts to determine the sectorial contribution to said convergence and the role played by structural changes in employment. In this sense, this work does not only verify the existence of β-convergence in provincial productivities, but also tries to answer two additional questions: which has been the contribution of each sector to convergence or divergence? And, which role has been played by structural changes in employment?             The employed methodology has as a reference the shift-share analysis, which basically consists on decomposing the growth rate of a variable. In our case, the increment in aggregate productivity is formed by the sum of three effects: growth, which measures the contribution of each sector to total productivity growth; change, which quantifies the contribution that job relocations across sectors have on total productivity growth; and interaction, which shows the covariance of the two former effects. This methodology allows the direct estimation of the contribution of each sector to aggregate convergence, thereby overcoming the limitations of analysis centered on convergence within sectors. Indeed, although a sector might not exhibit a trend towards the convergence of productivity between different territorial units, it could be contributing to aggregate convergence by transferring resources (jobs) to more productive sectors. Thus, the proposed methodology allows the evaluation of the contribution of each sector by telling apart that which comes from productivity growth from that which can be attributed to changes in employment across all productive sectors.             The statistical information comes from Spanish Regional Accounts published by the INE and, more concretely, from the homogeneous series by provinces. On that basis, an analysis has been performed differentiating the 2000-2008 period, where sustained GDP growth was registered, from the 2008-2017 period, when the expansionary trend was halted. Productivity has been calculated as the quotient of the added value and total employment. The total sectorial division used corresponds to the following aggregates: Agriculture; Manufacturing industry; Other industries; Construction; Commerce and tourism; Financial activities and professionals; Public administration and other services. Firstly, it is shown that aggregate productivity grew in all provinces in the two different periods although, between 2008 and 2017, growth is lower in all cases—except in Castellón. Furthermore, the data shows that the growth effect is that which almost completely justifies the growth in productivity; while both the change effect and the interaction effect have, as a general rule, much smaller values. Regarding the change effect, it is interesting to note that, while in the first period it is only negative in Teruel, forty of the fifty provinces display this sign in the second. In other words, between 2000 and 2008, the sectors that initially had above-average productivity increased their participation in provincial employment; and, conversely, the opposite occurred between 2008 and 2017 since precisely the sectors with the highest relative productivity were generally the ones that lost weight in total provincial employment. For its part, the interaction effect presents negative values in most provinces in both periods, although much more clearly in the second—which indicates that the sectors that increased their productivity more than the average decreased their participation in employment. This is compatible with the fact that productivity gains have been produced thanks to job losses. In fact, there is an inverse relationship between productivity growth and employment growth at the sectoral level, albeit with varying intensity by period. Once the contribution of each sector to the growth effect by provinces has been quantified, we can see that the manufacturing industries explain, approximately, a fourth of the productivity growth. This role is shared with the Public Administration and other services between 2000 and 2008, and with Commerce and Tourism since 2008. It is also worth mentioning that, in both periods, the Other industries sector decreased its productivity in many provinces. Another remarkable fact is that, between 2000 and 2008, all the provinces' production structures approached the national average. However, between 2008 and 2017 there were no significant changes in provincial employment structures compared to that average. On the other hand, the analysis performed confirms that, between 2000 and 2008, there has been a β-convergence between the provincial productivities—that is, that provinces starting from lower levels have grown relatively more than those with higher values ​​at the beginning of the period. On the other hand, between 2008 and 2017 the results are not so evident. This reality supports the thesis that expansionary periods, unlike recessive periods, promote convergence. This finding, although not trivial, simply reinforces the results of previous research referring to other periods. However, the identification of the sectors that have contributed to this convergence is novel. Specifically, during the first period, the sectors that contributed the most to convergence were Agriculture and Public Administration and other services, although with different dynamics. While in Agriculture there is a loss of employment in most provinces—and consequently, also at an aggregate level— there was a general increase in employment in the Public Administration and other services. The transformations in Agriculture can be framed within a more general process of structural change in the context of the European Union. In this sense, evidence is found that emigration, motivated to a certain extent by mechanization, together with the greater capabilities of workers remaining in the sector, explain the labor productivity growth in Agriculture over time and its convergence among European regions. Public administration and other services present a peculiar dynamic as most of their production is not destined for the market. In these circumstances, economic logic loses relevance with respect to political decisions oriented to public service provision. In the second period, besides Agriculture, Other industries and Construction were the sectors that contributed statistically significantly to aggregate convergence, although on a much smaller scale. Conversely, the behavior of the manufacturing industry—which had the greatest loss of employment among all the sectors considered—favored the divergence of productivities at the provincial level, especially during the expansionary period. This evidence questions the theory on the spatial homogenization of productive processes supposedly induced by the mobility of factors or by technological imitation. In this context, the contribution of the manufacturing industry sector to the divergence between provincial productivities is a sign of the role that the agglomerations of companies that make up local production systems may be playing. In particular, the conformation of industrial districts and clusters—on which academic interest has been renewed in recent years—can generate different dynamics depending on the context in which they evolve. Thus, the geographical concentration of companies and industrial activities would be justified by the presence of agglomeration economies—that is, positive intra-industrial (localization economies) and inter-industrial (urbanization economies) externalities that offer a set of different development possibilities. Therefore, the existence of specific factors associated with concrete spatial environments that persist over time should be acknowledged. Consequently, divergent productive trajectories could arise at the territorial level in certain industries; and, particularly, as the results of our analysis suggest, in the manufacturing industry in Spain. Therefore, the relevance of alternative hypotheses that incorporate, among other variables, market rigidities, the presence of agglomeration economies, the different endowments of public / private capital, or the various training levels of the labor force. On this basis, opportunities appear for the design of economic policy measures that foster the spatial convergence of productivities and, more generally, of income. Furthermore, it is shown that employment flows towards relatively more productive sectors contributed to the convergence of provincial productivities between 2000 and 2008, but not between 2008 and 2017. Finally, we acknowledge the limitations of this work and the sensitivity of its results to both the time references and sectoral aggregation used—which, on the other hand, are restrictions that we have assumed in the absence of more specific data. In any case, despite the significant volume of contributions on convergence, our work has progressed along a road unexplored until now, in identifying the sectors that are contributing to aggregate productivity convergence at the provincial level. Apart from what is stated in this article, it is convenient to make cleara more general argument of special importance. The analytical tools that we have used are based on a sectoral and provincial breakdown of the productivities, and do not allow to know the implications of the economic evolution on people's well-being. Although labor productivity is directly related to wages from a conventional perspective, it is not possible to determine the ultimate consequences on personal income from the sectoral breakdown of its growth. However, the knowledge of the contribution of each sector to the spatial convergence of productivities provides hints that help determine the consequences that economic policies (oriented, for example, to the maintenance or promotion of industrial companies in specific territories) have on income growth or distribution. Classification-JEL: R1 Keywords: Β Convergencia, Índice de Productividad de Malmquist., Análisis shift-share, Provincias Españolas, Β Convergence, Apparent Productivity of Employment, Shit-Share, Spanish Provinces Pages: 197-233 Volume: 1 Year: 2022 File-URL: http://www.revistaestudiosregionales.com/documentos/articulos/pdf-articulo-2629.pdf File-Format: Application/pdf Handle: RePEc:rer:articu:v:1:y:2022:p:197-233