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Firm size populations modeled through competition-colonization dynamics

Author

Listed:
  • J. M. Applegate

    (Arizona State University)

  • Adam Lampert

    (Arizona State University)

Abstract

The Firm Ecosystem Model is a dynamical model based on the empirical finding that firm characteristics, such as the tendency to innovate and competitive advantages, vary according to firm size. Firm dynamics leading to various population distributions are considered as a competition-colonization scenario in a spatially defined market, where firms of differing sizes are treated as separate species with different competition and colonization characteristics. Smaller firms, given adequate investment funds to innovate, are able to colonize available space more quickly than larger firms, and larger firms are assumed to have stronger competition characteristics and are able to outcompete smaller firms for occupied space. With startup and mortality parameters determined empirically, firm populations reach equilibria dependent on the values of the capital investment parameters. The model predictions provide a good qualitative fit to empirical data from the Business Dynamics Statistics database. Finally, we explore how alternative mortality or investment conditions affect the firm size distributions.

Suggested Citation

  • J. M. Applegate & Adam Lampert, 2021. "Firm size populations modeled through competition-colonization dynamics," Journal of Evolutionary Economics, Springer, vol. 31(1), pages 91-116, January.
  • Handle: RePEc:spr:joevec:v:31:y:2021:i:1:d:10.1007_s00191-020-00703-6
    DOI: 10.1007/s00191-020-00703-6
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    1. R. E. Caves & M. E. Porter, 1977. "From Entry Barriers to Mobility Barriers: Conjectural Decisions and Contrived Deterrence to New Competition," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 91(2), pages 241-261.
    2. di Giovanni, Julian & Levchenko, Andrei A. & Rancière, Romain, 2011. "Power laws in firm size and openness to trade: Measurement and implications," Journal of International Economics, Elsevier, vol. 85(1), pages 42-52, September.
    3. Erik Hurst & Benjamin Wild Pugsley, 2011. "What Do Small Businesses Do?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 42(2 (Fall)), pages 73-142.
    4. Giovanni Dosi, 2008. "Statistical Regularities in the Evolution of Industries. A Guide through Some Evidence and Challenges for the Theory," L'industria, Società editrice il Mulino, issue 2, pages 185-220.
    5. Winter, Sidney G., 1984. "Schumpeterian competition in alternative technological regimes," Journal of Economic Behavior & Organization, Elsevier, vol. 5(3-4), pages 287-320.
    6. Michael Dietrich & Jackie Krafft (ed.), 2012. "Handbook on the Economics and Theory of the Firm," Books, Edward Elgar Publishing, number 13623.
    7. Ron Adner & Rahul Kapoor, 2016. "Innovation ecosystems and the pace of substitution: Re-examining technology S-curves," Strategic Management Journal, Wiley Blackwell, vol. 37(4), pages 625-648, April.
    8. Giulio Bottazzi & Giovanni Dosi & Giorgio Fagiolo & Angelo Secchi, 2007. "Modeling industrial evolution in geographical space," Journal of Economic Geography, Oxford University Press, vol. 7(5), pages 651-672, September.
    9. Nugent, Jeffrey B. & Nabli, Mustapha K., 1992. "Development of financial markets and the size distribution of manufacturing establishments: International comparisons," World Development, Elsevier, vol. 20(10), pages 1489-1499, October.
    10. Xavier Gabaix, 2009. "Power Laws in Economics and Finance," Annual Review of Economics, Annual Reviews, vol. 1(1), pages 255-294, May.
    11. Giulio Bottazzi & Angelo Secchi, 2006. "Explaining the distribution of firm growth rates," RAND Journal of Economics, RAND Corporation, vol. 37(2), pages 235-256, June.
    12. Hall, Bronwyn H. & Lerner, Josh, 2010. "The Financing of R&D and Innovation," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 609-639, Elsevier.
    13. Breschi, Stefano & Malerba, Franco & Orsenigo, Luigi, 2000. "Technological Regimes and Schumpeterian Patterns of Innovation," Economic Journal, Royal Economic Society, vol. 110(463), pages 388-410, April.
    14. Dosi, Giovanni & Nelson, Richard R., 2010. "Technical Change and Industrial Dynamics as Evolutionary Processes," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 51-127, Elsevier.
    15. Klepper, Steven, 1996. "Entry, Exit, Growth, and Innovation over the Product Life Cycle," American Economic Review, American Economic Association, vol. 86(3), pages 562-583, June.
    16. Timothy Dunne & Mark J. Roberts & Larry Samuelson, 1988. "Patterns of Firm Entry and Exit in U.S. Manufacturing Industries," RAND Journal of Economics, The RAND Corporation, vol. 19(4), pages 495-515, Winter.
    17. Klepper, Steven, 1997. "Industry Life Cycles," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 6(1), pages 145-181.
    18. B. Podobnik & D. Horvatic & A. M. Petersen & M. Njavro & H. E. Stanley, 2010. "Common scaling behavior in finance and macroeconomics," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 76(4), pages 487-490, August.
    19. Demsetz, Harold, 1982. "Barriers to Entry," American Economic Review, American Economic Association, vol. 72(1), pages 47-57, March.
    20. Baumol, William J., 1996. "Entrepreneurship: Productive, unproductive, and destructive," Journal of Business Venturing, Elsevier, vol. 11(1), pages 3-22, January.
    21. Dosi Giovanni & Gambardella Alfonso & Grazzi Marco & Orsenigo Luigi, 2008. "Technological Revolutions and the Evolution of Industrial Structures: Assessing the Impact of New Technologies upon the Size and Boundaries of Firms," Capitalism and Society, De Gruyter, vol. 3(1), pages 1-49, June.
    22. Giulio Bottazzi & Davide Pirino & Federico Tamagni, 2015. "Zipf law and the firm size distribution: a critical discussion of popular estimators," Journal of Evolutionary Economics, Springer, vol. 25(3), pages 585-610, July.
    23. Michael Dietrich & Jackie Krafft, 2012. "Handbook on the Economics and Theory of the Firm," Post-Print halshs-01378625, HAL.
    24. Zoltan J. Acs & David B. Audretsch, 2008. "Innovation, Market Structure, and Firm Size," Chapters, in: Entrepreneurship, Growth and Public Policy, chapter 2, pages 16-23, Edward Elgar Publishing.
    25. Bronwyn H. Hall & Nathan Rosenberg (ed.), 2010. "Handbook of the Economics of Innovation," Handbook of the Economics of Innovation, Elsevier, edition 1, volume 1, number 1.
    26. Michael G. Jacobides & Carmelo Cennamo & Annabelle Gawer, 2018. "Towards a theory of ecosystems," Strategic Management Journal, Wiley Blackwell, vol. 39(8), pages 2255-2276, August.
    27. Hall, Bronwyn H, 1987. "The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector," Journal of Industrial Economics, Wiley Blackwell, vol. 35(4), pages 583-606, June.
    28. Klepper, Steven & Miller, John H., 1995. "Entry, exit, and shakeouts in the United States in new manufactured products," International Journal of Industrial Organization, Elsevier, vol. 13(4), pages 567-591, December.
    29. Michael Dietrich & Jackie Krafft, 2012. "The Economics and Theory of the Firm," Chapters, in: Michael Dietrich & Jackie Krafft (ed.), Handbook on the Economics and Theory of the Firm, chapter 1, Edward Elgar Publishing.
    30. John Haltiwanger & Ron S. Jarmin & Javier Miranda, 2013. "Who Creates Jobs? Small versus Large versus Young," The Review of Economics and Statistics, MIT Press, vol. 95(2), pages 347-361, May.
    31. Joe S. Bain, 1954. "Conditions of Entry and the Emergence of Monopoly," International Economic Association Series, in: Edward H. Chamberlin (ed.), Monopoly and Competition and their Regulation, pages 215-241, Palgrave Macmillan.
    32. Paul Gompers & Josh Lerner, 2001. "The Venture Capital Revolution," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 145-168, Spring.
    33. Pier Saviotti & Andreas Pyka, 2004. "Economic development by the creation of new sectors," Journal of Evolutionary Economics, Springer, vol. 14(1), pages 1-35, January.
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    Cited by:

    1. Victor Boussange & Didier Sornette & Heike Lischke & Loic Pellissier, 2023. "Processes analogous to ecological interactions and dispersal shape the dynamics of economic activities," Papers 2301.09486, arXiv.org.

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    More about this item

    Keywords

    Firm dynamics; Firm size distributions; Competition; Ecological dynamics;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • J21 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Labor Force and Employment, Size, and Structure
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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