IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v494y2018icp76-86.html
   My bibliography  Save this article

Economic agglomerations and spatio-temporal cycles in a spatial growth model with capital transport cost

Author

Listed:
  • Juchem Neto, J.P.
  • Claeyssen, J.C.R.
  • Pôrto Júnior, S.S.

Abstract

In this paper we introduce capital transport cost in a unidimensional spatial Solow–Swan model of economic growth with capital-induced labor migration, considered in an unbounded domain. Proceeding with a stability analysis, we show that there is a critical value for the capital transport cost where the dynamic behavior of the economy changes, provided that the intensity of capital-induced labor migration is strong enough. On the one hand, if the capital transport cost is higher than this critical value, the spatially homogeneous equilibrium of coexistence of the model is stable, and the economy converges to this spatially homogeneous state in the long run; on the other hand, if transport cost is lower than this critical value, the equilibrium is unstable, and the economy may develop different spatio-temporal dynamics, including the formation of stable economic agglomerations and spatio-temporal economic cycles, depending on the other parameters in the model. Finally, numerical simulations support the results of the stability analysis, and illustrate the spatio-temporal dynamics generated by the model, suggesting that the economy as a whole benefits from the formation of economic agglomerations and cycles, with a higher capital transport cost reducing this gain.

Suggested Citation

  • Juchem Neto, J.P. & Claeyssen, J.C.R. & Pôrto Júnior, S.S., 2018. "Economic agglomerations and spatio-temporal cycles in a spatial growth model with capital transport cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 76-86.
    • Handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:76-86
    DOI: 10.1016/j.physa.2017.12.036
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117312888
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2017.12.036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Boucekkine, R. & Camacho, C. & Fabbri, G., 2013. "Spatial dynamics and convergence: The spatial AK model," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2719-2736.
    2. Miren Lafourcade & Jacques-François Thisse, 2011. "New Economic Geography: The Role of Transport Costs," Chapters, in: André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), A Handbook of Transport Economics, chapter 4, Edward Elgar Publishing.
    3. João Juchem Neto & Julio Claeyssen, 2015. "Capital-induced labor migration in a spatial Solow model," Journal of Economics, Springer, vol. 115(1), pages 25-47, May.
    4. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    5. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    6. André de Palma & Robin Lindsey & Emile Quinet & Robert Vickerman, 2011. "Handbook Of Transport Economics," PSE-Ecole d'économie de Paris (Postprint) halshs-00754912, HAL.
    7. Krugman, Paul, 1991. "Increasing Returns and Economic Geography," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 483-499, June.
    8. Camacho, Carmen & Zou, Benteng & Briani, Maya, 2008. "On the dynamics of capital accumulation across space," European Journal of Operational Research, Elsevier, vol. 186(2), pages 451-465, April.
    9. Milton Barossi-Filho & Ricardo Gonçalves Silva & Eliezer Martins Diniz, 2005. "The empirics of the Solow growth model: Long-term evidence," Journal of Applied Economics, Universidad del CEMA, vol. 8, pages 31-51, May.
    10. Krugman, Paul R., 1979. "Increasing returns, monopolistic competition, and international trade," Journal of International Economics, Elsevier, vol. 9(4), pages 469-479, November.
    11. Benteng Zou & Carmen Camacho, 2004. "The spatial Solow model," Economics Bulletin, AccessEcon, vol. 18(2), pages 1-11.
    12. Walter Isard & Panagis Liossatos, 1975. "Parallels From Physics For Space‐Time Development Models. Part Ii: Interpretation And Extensions Of The Basic Model," Papers in Regional Science, Wiley Blackwell, vol. 34(1), pages 43-66, January.
    13. Milton Barossi-Filho & Ricardo Gonçalves Silva & Eliezer Martins Diniz, 2005. "The Empirics of the Solow Growth Model: Long-Term Evidence," Journal of Applied Economics, Taylor & Francis Journals, vol. 8(1), pages 31-51, May.
    14. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    15. Paulo B. Brito, 2022. "The dynamics of growth and distribution in a spatially heterogeneous world," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 311-350, September.
    16. André de Palma & Robin Lindsey & Emile Quinet & Roger Vickerman (ed.), 2011. "A Handbook of Transport Economics," Books, Edward Elgar Publishing, number 12679.
    17. Marco Corazza & Florence Legros & Cira Perna & Marilena Sibillo, 2017. "Mathematical and Statistical Methods for Actuarial Sciences and Finance," Post-Print hal-01776135, HAL.
    18. Barossi-Filho, Milton & Goncalves Silva, Ricardo & Diniz, Eliezer Martins, 2005. "The empirics of the Solow Growth Model: Long-term evidence," Journal of Applied Economics, Universidad del CEMA, vol. 8(1), pages 1-21, May.
    19. Ali Balcı, Mehmet, 2017. "Time fractional capital-induced labor migration model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 91-98.
    20. Guerrini, Luca, 2006. "The Solow-Swan model with a bounded population growth rate," Journal of Mathematical Economics, Elsevier, vol. 42(1), pages 14-21, February.
    21. Isard, Walter & Liossatos, Panagis, 1975. "Parallels from physics for space-time development models : Part I," Regional Science and Urban Economics, Elsevier, vol. 5(1), pages 5-40, February.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Juchem Neto, Joao Plinio & Claeyssen, Julio Cesar Ruiz & Porto Junior, Sabino da Silva, 2014. "A spatial Solow model with transport cost," MPRA Paper 59766, University Library of Munich, Germany.
    2. João Juchem Neto & Julio Claeyssen, 2015. "Capital-induced labor migration in a spatial Solow model," Journal of Economics, Springer, vol. 115(1), pages 25-47, May.
    3. La Torre, Davide & Liuzzi, Danilo & Marsiglio, Simone, 2015. "Pollution diffusion and abatement activities across space and over time," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 48-63.
    4. Berthold, Norbert & Gründler, Klaus, 2012. "Entrepreneurship and economic growth in a panel of countries," Discussion Paper Series 118, Julius Maximilian University of Würzburg, Chair of Economic Order and Social Policy.
    5. Herb Kunze & Davide La Torre & Simone Marsiglio, 2019. "A Multicriteria Macroeconomic Model with Intertemporal Equity and Spatial Spillovers," Papers 1911.08247, arXiv.org.
    6. Herb Kunze & Davide Torre & Simone Marsiglio, 2022. "Sustainability and spatial spillovers in a multicriteria macroeconomic model," Annals of Operations Research, Springer, vol. 311(2), pages 1067-1084, April.
    7. Sahar Amidi & Ali Fagheh Majidi & Bakhtiar Javaheri, 2020. "Growth spillover: a spatial dynamic panel data and spatial cross section data approaches in selected Asian countries," Future Business Journal, Springer, vol. 6(1), pages 1-14, December.
    8. Luis A. Quezada-Téllez & Guillermo Fernández-Anaya & Dominique Brun-Battistini & Benjamín Nuñez-Zavala & Jorge E. Macías-Díaz, 2021. "An Economic Model for OECD Economies with Truncated M -Derivatives: Exact Solutions and Simulations," Mathematics, MDPI, vol. 9(15), pages 1-14, July.
    9. Murach, Michael & Wagner, Helmut & Kim, Jungsuk & Park, Donghyun, 2022. "Trajectories to high income: Comparing the growth dynamics in China, South Korea, and Japan with cointegrated VAR models," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 492-511.
    10. Torre, Davide La & Liuzzi, Danilo & Marsiglio, Simone, 2021. "Transboundary pollution externalities: Think globally, act locally?," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    11. Charles I. Jones & Paul M. Romer, 2010. "The New Kaldor Facts: Ideas, Institutions, Population, and Human Capital," American Economic Journal: Macroeconomics, American Economic Association, vol. 2(1), pages 224-245, January.
    12. Albeverio, Sergio & Mastrogiacomo, Elisa, 2022. "Large deviation principle for spatial economic growth model on networks," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    13. Xepapadeas, Anastasios & Yannacopoulos, Athanasios N., 2023. "Spatial growth theory: Optimality and spatial heterogeneity," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    14. Rothengatter, Werner, 2017. "Wider economic impacts of transport infrastructure investments: Relevant or negligible?," Transport Policy, Elsevier, vol. 59(C), pages 124-133.
    15. Bas Van Leeuwen & Peter Foldvari, 2008. "Human Capital and Economic Growth in Asia 1890–2000: A Time‐series Analysis," Asian Economic Journal, East Asian Economic Association, vol. 22(3), pages 225-240, September.
    16. Paul Chiambaretto & André De Palma & Stef Proost, 2013. "A normative analysis of transport policies in a footloose capital model with interregional and intraregional transportation costs," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 51(3), pages 811-831, December.
    17. Ballestra, Luca Vincenzo, 2016. "The spatial AK model and the Pontryagin maximum principle," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 87-94.
    18. repec:ebl:ecbull:v:2:y:2002:i:1:p:1-15 is not listed on IDEAS
    19. Alexander B. Darku, 2021. "International trade and income convergence: Sorting out the nature of bilateral trade," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 26(4), pages 5337-5348, October.
    20. Kubis, Alexander & Titze, Mirko & Brachert, Matthias & Lehmann, H. & Bergner, U., 2009. "Regionale Entwicklungsmuster und ihre Konsequenzen für die Raumordnungspolitik," IWH-Sonderhefte 3/2009, Halle Institute for Economic Research (IWH).
    21. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:494:y:2018:i:c:p:76-86. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.