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A translog production function for the Spanish provinces: Impact of the human and physical capital in economic growth


  • Pablo-Romero, M. del P.
  • Gómez-Calero, M. de la P.


A translog production function and an extended translog production function with third-order terms are estimated for the 50 Spanish provinces in the period 1985–2006. The results show the existence of complementarity relationships between private physical and human capital. Likewise, they show the existence of decreasing returns of private physical and human capital. However, the direction of the decreasing returns of private physical capital is reversed for a high endowment level of this factor. These results suggest the importance of capitalizing the Spanish economy, since it would increase the effect of human capital upon productivity and may also generate positive externalities.

Suggested Citation

  • Pablo-Romero, M. del P. & Gómez-Calero, M. de la P., 2013. "A translog production function for the Spanish provinces: Impact of the human and physical capital in economic growth," Economic Modelling, Elsevier, vol. 32(C), pages 77-87.
  • Handle: RePEc:eee:ecmode:v:32:y:2013:i:c:p:77-87 DOI: 10.1016/j.econmod.2013.01.040

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    Cited by:

    1. Benos, Nikos & Karagiannis, Stelios, 2016. "Do education quality and spillovers matter? Evidence on human capital and productivity in Greece," Economic Modelling, Elsevier, vol. 54(C), pages 563-573.
    2. Völlmecke, Dominik & Jindra, Björn & Marek, Philipp, 2016. "FDI, human capital and income convergence—Evidence for European regions," Economic Systems, Elsevier, vol. 40(2), pages 288-307.
    3. repec:bla:coecpo:v:35:y:2017:i:4:p:716-734 is not listed on IDEAS
    4. Benos, Nikos & Karagiannis, Stelios, 2013. "Do Cross-Section Dependence and Parameter Heterogeneity Matter? Evidence on Human Capital and Productivity in Greece," MPRA Paper 53326, University Library of Munich, Germany.
    5. Dongyeol Lee & Hyunjoon Lim, 2014. "Nonlinearity in Nexus between Working Hours and Productivity," Working Papers 2014-24, Economic Research Institute, Bank of Korea.
    6. Pablo-Romero, María del P. & Sánchez-Braza, Antonio, 2015. "Productive energy use and economic growth: Energy, physical and human capital relationships," Energy Economics, Elsevier, vol. 49(C), pages 420-429.

    More about this item


    Translog function; Complementarity between factors; Human capital; Private physical capital;

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • R53 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Regional Government Analysis - - - Public Facility Location Analysis; Public Investment and Capital Stock


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