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Predicting Convergence of Per Capita Income in Spain: A Markov and Cluster Approach

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  • José F. Gálvez-Rodríguez

    (Department of Mathematics, University of Almería, 04120 Almería, Spain)

  • Miguel Manzano-Hidalgo

    (Department of Mathematics, University of Almería, 04120 Almería, Spain)

  • Amelia V. García-Luengo

    (Department of Mathematics, University of Almería, 04120 Almería, Spain)

Abstract

In this work we analyze the evolution of productivity, in terms of the convergence of per capita income, of all the Spanish provinces, based on data from the previous decade. On the one hand, a cluster analysis allows us to group the Spanish provinces according to four income levels (low, medium-low, medium-high and high), which can be determined from the quartiles of the distribution, and, on the other hand, Markov chains make it possible to study the long-term evolution of productivity and convergence between the provinces, as well as the speed of convergence towards the equilibrium situation. Moreover, we can obtain the average time to return to an income level in which a province was previously. With the above, predictions of future income levels are made for the provinces, both in the current situation, and if the pandemic caused by COVID-19 had not existed, which leads us to evaluate the impact of the health emergency.

Suggested Citation

  • José F. Gálvez-Rodríguez & Miguel Manzano-Hidalgo & Amelia V. García-Luengo, 2025. "Predicting Convergence of Per Capita Income in Spain: A Markov and Cluster Approach," Economies, MDPI, vol. 13(1), pages 1-16, January.
    • Handle: RePEc:gam:jecomi:v:13:y:2025:i:1:p:17-:d:1564706
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    References listed on IDEAS

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    1. Michał Gostkowski & Tomasz Rokicki & Luiza Ochnio & Grzegorz Koszela & Kamil Wojtczuk & Marcin Ratajczak & Hubert Szczepaniuk & Piotr Bórawski & Aneta Bełdycka-Bórawska, 2021. "Clustering Analysis of Energy Consumption in the Countries of the Visegrad Group," Energies, MDPI, vol. 14(18), pages 1-25, September.
    2. Fingleton, Bernard, 1997. "Specification and Testing of Markov Chain Models: An Application to Convergence in the European Union," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(3), pages 385-403, August.
    3. Shorrocks, A F, 1978. "The Measurement of Mobility," Econometrica, Econometric Society, vol. 46(5), pages 1013-1024, September.
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