IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/82473.html
   My bibliography  Save this paper

Empirical evidence on the topological properties of structural paths and some notes on its theoretical explanation

Author

Listed:
  • Stijepic, Denis

Abstract

The mathematical literature has developed a large pool of topological concepts and theorems for dynamic systems analysis. The aim of our paper is to make a first step towards the application of these concepts and theorems in the analysis of (long-run) structural change (in the three-sector framework). Our approach focuses on two of the most basic topological notions, namely intersection and self-intersection of trajectories on a two-dimensional domain. We discuss the mathematical foundations of the application of these concepts in structural change analysis, use them for analyzing empirical data, and elaborate new stylized facts stating that different countries’ structural change trajectories are (non-self-)intersecting. Finally, we discuss briefly the theoretical explanations of (non-self-)intersection and a wide range of new research topics relating to (a) the topological classification and comparison of models and evidence and (b) the application of (further) topological concepts in standard branches of growth and development theory.

Suggested Citation

  • Stijepic, Denis, 2016. "Empirical evidence on the topological properties of structural paths and some notes on its theoretical explanation," MPRA Paper 82473, University Library of Munich, Germany, revised 26 Oct 2017.
    • Handle: RePEc:pra:mprapa:82473
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/82473/1/MPRA_paper_82473.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Silva, Ester G. & Teixeira, Aurora A.C., 2008. "Surveying structural change: Seminal contributions and a bibliometric account," Structural Change and Economic Dynamics, Elsevier, vol. 19(4), pages 273-300, December.
    2. 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.
    3. Meckl, Jürgen, 1999. "Structural change and generalized balanced growth," Discussion Papers, Series I 298, University of Konstanz, Department of Economics.
    4. Timo Boppart, 2014. "Structural Change and the Kaldor Facts in a Growth Model With Relative Price Effects and Non‐Gorman Preferences," Econometrica, Econometric Society, vol. 82, pages 2167-2196, November.
    5. Foellmi, Reto & Zweimüller, Josef, 2008. "Structural change, Engel's consumption cycles and Kaldor's facts of economic growth," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1317-1328, October.
    6. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    7. Mr. Sergio Rebelo & Ms. Piyabha Kongsamut & Danyang Xie, 2001. "Beyond Balanced Growth," IMF Working Papers 2001/085, International Monetary Fund.
    8. L. Rachel Ngai & Christopher A. Pissarides, 2007. "Structural Change in a Multisector Model of Growth," American Economic Review, American Economic Association, vol. 97(1), pages 429-443, March.
    9. Daron Acemoglu & Veronica Guerrieri, 2008. "Capital Deepening and Nonbalanced Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 116(3), pages 467-498, June.
    10. Maddison, Angus, 2007. "Contours of the World Economy 1-2030 AD: Essays in Macro-Economic History," OUP Catalogue, Oxford University Press, number 9780199227204.
    11. Piyabha Kongsamut & Sergio Rebelo & Danyang Xie, 2001. "Beyond Balanced Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(4), pages 869-882.
    12. Denis Stijepic, 2017. "An argument against Cobb-Douglas production functions (in multi-sector growth modeling)," Economics Bulletin, AccessEcon, vol. 37(2), pages 1143-1150.
    13. Herrendorf, Berthold & Rogerson, Richard & Valentinyi, Ákos, 2014. "Growth and Structural Transformation," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 6, pages 855-941, Elsevier.
    14. Stijepic, Denis, 2017. "On development paths minimizing the structural change costs in the three-sector framework and an application to structural policy," MPRA Paper 77023, University Library of Munich, Germany, revised 22 Feb 2017.
    15. Jaume Ventura & Francesco Caselli, 2000. "A Representative Consumer Theory of Distribution," American Economic Review, American Economic Association, vol. 90(4), pages 909-926, September.
    16. Stijepic, Denis, 2015. "A geometrical approach to structural change modelling," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 71-85.
    17. Schettkat, Ronald & Yocarini, Lara, 2006. "The shift to services employment: A review of the literature," Structural Change and Economic Dynamics, Elsevier, vol. 17(2), pages 127-147, June.
    18. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    19. Romer, Paul M, 1990. "Endogenous Technological Change," Journal of Political Economy, University of Chicago Press, vol. 98(5), pages 71-102, October.
    20. Stijepic, Denis, 2017. "Empirical evidence on the geometrical properties of structural change trajectories," MPRA Paper 80854, University Library of Munich, Germany, revised 17 Aug 2017.
    21. Stijepic, Denis, 2017. "On the predictability of economic structural change by the Poincaré-Bendixson theory," MPRA Paper 80849, University Library of Munich, Germany, revised 17 Aug 2017.
    22. Tjalling C. Koopmans, 1967. "Intertemporal Distribution and 'Optimal' Aggregate Economic Growth," Cowles Foundation Discussion Papers 228, Cowles Foundation for Research in Economics, Yale University.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Stijepic, Denis, 2018. "Models of Continuous Dynamics on the 2-Simplex and Applications in Economics," MPRA Paper 86341, University Library of Munich, Germany.

    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. Stijepic, Denis, 2019. "A topological approach to structural change analysis and an application to long-run labor allocation dynamics," Structural Change and Economic Dynamics, Elsevier, vol. 51(C), pages 453-462.
    2. Stijepic, Denis, 2017. "On the predictability of economic structural change by the Poincaré-Bendixson theory," MPRA Paper 80849, University Library of Munich, Germany, revised 17 Aug 2017.
    3. Stijepic, Denis, 2017. "Empirical evidence on the geometrical properties of structural change trajectories," MPRA Paper 80854, University Library of Munich, Germany, revised 17 Aug 2017.
    4. Denis Stijepic, 2017. "Positivistic models of long-run labor allocation dynamics," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 6(1), pages 1-30, December.
    5. Afolabi Tunde Ahmed & Tsimisaraka Raymondo Sandra Marcelline & Sabi Couscous Mouhamadou Nazirou, 2021. "Empirical Study of the Impact of Governance on Economic Structural Change: Evidence from Sub-Saharan African Countries," International Journal of Science and Business, IJSAB International, vol. 5(8), pages 260-277.
    6. Stijepic, Denis, 2015. "A geometrical approach to structural change modelling," Structural Change and Economic Dynamics, Elsevier, vol. 33(C), pages 71-85.
    7. Stijepic, Denis, 2019. "On development paths minimizing the aggregate labor-reallocation costs in the three-sector framework and an application to structural policy," VfS Annual Conference 2019 (Leipzig): 30 Years after the Fall of the Berlin Wall - Democracy and Market Economy 203519, Verein für Socialpolitik / German Economic Association.
    8. KUROSE, Kazuhiro, 2015. "The Structure of the Models of Structural Change and Kaldor's Facts: A Critical Survey," CCES Discussion Paper Series 59, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    9. Kurose, Kazuhiro, 2021. "Models of structural change and Kaldor’s facts: Critical survey from the Cambridge Keynesian perspective," Structural Change and Economic Dynamics, Elsevier, vol. 58(C), pages 267-277.
    10. Stijepic, Denis, 2017. "On development paths minimizing the structural change costs in the three-sector framework and an application to structural policy," MPRA Paper 77023, University Library of Munich, Germany, revised 22 Feb 2017.
    11. Herrendorf, Berthold & Valentinyi, Ákos, 2022. "Endogenous sector–biased technological change and industrial policy," Economic Modelling, Elsevier, vol. 113(C).
    12. Gray, Elie & Grimaud, André & Le Bris, David, 2018. "The Farmer, the Blue-collar, and the Monk: Understanding economic development through saturations of demands and non-homothetic productivity gains," TSE Working Papers 18-906, Toulouse School of Economics (TSE).
    13. Pengfei Zhang, 2018. "Endogenous sector-biased technical change and perpetual and transient structural change," Journal of Economics, Springer, vol. 123(3), pages 195-223, April.
    14. Stijepic, Denis & Wagner, Helmut, 2015. "Structural Change, Aggregate Growth And Government Services," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 112904, Verein für Socialpolitik / German Economic Association.
    15. Elie Gray & André Grimaud & David Le Bris, 2018. "The Farmer, the Blue-collar, and the Monk: Understanding Economic Development through Saturations of Demands and Non-Homothetic Productivity Gains," CESifo Working Paper Series 6970, CESifo.
    16. Edgar Cruz & Xavier Raurich, 2020. "Leisure time and the sectoral composition of employment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 38, pages 198-219, October.
    17. Manuel García‐Santana & Josep Pijoan‐Mas & Lucciano Villacorta, 2021. "Investment Demand and Structural Change," Econometrica, Econometric Society, vol. 89(6), pages 2751-2785, November.
    18. Ju, Jiandong & Lin, Justin Yifu & Wang, Yong, 2015. "Endowment structures, industrial dynamics, and economic growth," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 244-263.
    19. Stijepic, Denis, 2014. "A Theorem on the Limit-Properties of Structural Change and some Implications," MPRA Paper 57580, University Library of Munich, Germany.
    20. van Neuss, Leif, 2018. "Globalization and deindustrialization in advanced countries," Structural Change and Economic Dynamics, Elsevier, vol. 45(C), pages 49-63.

    More about this item

    Keywords

    structural change; labor; allocation; savings; functional income distribution; long run; dynamics; trajectory; intersection; self-intersection; differential equations; geometry; topology;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

    Statistics

    Access and download statistics

    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:pra:mprapa:82473. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.