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BY 4.0 license Open Access Published by De Gruyter Open Access May 21, 2010

Investigating the Exponential Age Distribution of Firms

  • Alex Coad EMAIL logo
From the journal Economics

Abstract

While several plots of the aggregate age distribution suggest that firm age is exponentially distributed, we find some departures from the exponential benchmark. At the lower tail, we find that very young establishments are more numerous than expected, but they face high exit hazards. At the upper tail, the oldest firms are older than the exponential would have predicted. Furthermore, the age distribution of disaggregated industries (such as the international airline industry) is less regular and can display multimodality. Although we focused on departures from the exponential, we found that the exponential was a useful reference point and endorse it as an appropriate benchmark for future work on industrial structure.

JEL Classification: L20; L25; L11

References

Adamic, L. A., and Huberman, B. A. (1999). The Nature of Markets in the World Wide Web. SSRN working paper IEA5. DOI: 10.2139/ssrn.166108.10.2139/ssrn.166108Search in Google Scholar

Angelini, P., and Generale, A. (2008). On the Evolution of Firm Size Distributions. American Economic Review, 98(1): 426–438.Search in Google Scholar

Audretsch, D. (1991). New-firm survival and the technological regime. Review of Economics and Statistics, 73(3): 441–450.Search in Google Scholar

Axtell, R. L. (2001). Zipf distribution of US firm sizes. Science, 293: 1818–1820.Search in Google Scholar

Barron, D. N., West, E., and Hannan, M. T. (1994). A Time to Growth and a Time to Die: Growth and Mortality of Credit Unions in New York, 1914-1990. American Journal of Sociology, 100(2): 381–421.Search in Google Scholar

Bertrand, M., and Schoar, A. (2006). The role of family in family firms. Journal of Economic Perspectives, 20(2): 73–96.Search in Google Scholar

Bottazzi, G. (2004). Subbotools User’s Manual. LEM Papers Series 2004/14, Laboratory of Economics and Management (LEM), Sant’Anna School of Advanced Studies, Pisa, Italy.Search in Google Scholar

Bottazzi, G., Coad, A., Jacoby, N., and Secchi, A. (2010). Corporate Growth and Industrial Dynamics: Evidence from French Manufacturing. Applied Economics, Forthcoming: DOI: 10.1080/00036840802400454.10.1080/00036840802400454Search in Google Scholar

Bottazzi, G., and Secchi, A. (2005). Growth and Diversification Patterns of the Worldwide Pharmaceutical Industry. Review of Industrial Organization, 26: 195–216.Search in Google Scholar

Bottazzi, G., Secchi, A., and Tamagni, F. (2008). Productivity, Profitability and Financial Performance. Industrial and Corporate Change, 17(4): 711–751.Search in Google Scholar

Bruderl, J., and Schussler, R. (1990). Organizational Mortality: The Liabilities of Newness and Adolescence. Administrative Science Quarterly, 35(3): 530–547.Search in Google Scholar

Buenstorf, G., and Klepper, S. (2009). Heritage and agglomeration: The Akron tyre cluster revisited. Economic Journal, 119(April): 705–733.Search in Google Scholar

Cabral, L. M. B., and Mata, J. (2003). On the Evolution of the Firm Size Distribution: Facts and Theory. American Economic Review, 93(4): 1075–1090.Search in Google Scholar

Cirillo, P. (2010). An analysis of the size distribution of Italian firms by age. Physica A: Statistical Mechanics and its Applications, 389: 459–466.Search in Google Scholar

Coad, A. (2010). The exponential age distribution and the Pareto firm size distribution. Journal of Industry Competition and Trade, forthcoming, doi 10.1007/s10842-010-0071-4.10.1007/s10842-010-0071-4Search in Google Scholar

Coad, A., and Tamvada, J. P. (2008). The Growth and Decline of Small firms in Developing Countries. Papers on Economics and Evolution 2008-08, Max Planck Institute of Economics, Evolutionary Economics Group.Search in Google Scholar

Cook, W., and Ormerod, P. (2003). Power law distribution of the frequency of demises of US firms. Physica A: Statistical Mechanics and its Applications, 324(1-2): 207–212.Search in Google Scholar

de Wit, G. (2005). Firm size distributions An overview of steady-state distributions resulting from firm dynamics models. International Journal of Industrial Organization, 23(5-6): 423–450.Search in Google Scholar

Delacroix, J., and Carroll, G. (1983). Organizational foundings: An ecological study of the newspaper industries of Argentina and Ireland. Administrative Science Quarterly, 28(2): 274–291.Search in Google Scholar

Dosi, G., Marsili, O., Orsenigo, L., and Salvatore, R. (1995). Learning, market selection and the evolution of industrial structures. Small Business Economics, 7(6): 411–436.Search in Google Scholar

Fagiolo, G., and Luzzi, A. (2006). Do Liquidity Constraints Matter in Explaining Firm Size and Growth? Some Evidence from the Italian Manufacturing Industry. Industrial and Corporate Change, 15(1): 1–39.Search in Google Scholar

Fichman, M., and Levinthal, D. (1991). Honeymoons and the liability of adolescence: A new perspective on duration dependence in social and organizational relationships. Academy of Management Review, 16(2): 442–468.Search in Google Scholar

Gaffeo, E., Gallegati, M., and Palestrini, A. (2003). On the size distribution of firms: additional evidence from the G7 countries. Physica A: Statistical Mechanics and its Applications, 324(1-2): 117–123.Search in Google Scholar

Gibrat, R. (1931). Les inégalités économiques: applications, aux inégalitês des richesses, a la concentration des entreprises, aux populations des villes, aux statistiques des familles, etc.: d’une loi nouvelle la loi de l’effet proportionnel. Recueil Sirey, Paris.Search in Google Scholar

Growiec, J., Pammolli, F., Riccaboni, M., and Stanley, H. (2008). On the size distribution of business firms. Economics Letters, 98(2): 207–212.Search in Google Scholar

Guenther, C. (2009). Structural change in the German machine tool industry: an empirical investigation of technological, regional and firm-specific developments. Doctoral dissertation, Friedrich-Schilller-Universitaet Jena, Germany. February 4th, 2009.Search in Google Scholar

Hannan, M., and Freeman, J. (1984). Structural inertia and organizational change. American Sociological Review, 49(2): 149–164.Search in Google Scholar

Headd, B. (2003). Redefining Business Success: Distinguishing Between Closure and Failure. Small Business Economics, 21(1): 51–61.Search in Google Scholar

Headd, B., and Kirchhoff, B. (2009). The Growth, Decline and Survival of Small Businesses: An Exploratory Study of Life Cycles. Journal of Small Business Management, 47(4): 531–550.Search in Google Scholar

Huberman, B. A., and Adamic, L. A. (1999). Growth dynamics of the world-wide web. Nature, 401: 131.Search in Google Scholar

Huergo, E., and Jaumandreu, J. (2004a). Firms’ age, process innovation and productivity growth. International Journal of Industrial Organization, 22(4): 541–559.10.1016/j.ijindorg.2003.12.002Search in Google Scholar

Huergo, E., and Jaumandreu, J. (2004b). How does probability of innovation change with firm age? Small Business Economics, 22(3): 193–207.10.1023/B:SBEJ.0000022220.07366.b5Search in Google Scholar

Kinsella, S. (2009). The Age Distribution of Firms in Ireland, 1961–2009. Department of Economics, University of Limerick, Ireland.Search in Google Scholar

Klepper, S. (2002). Firm survival and the evolution of oligopoly. RAND Journal of Economics, 33(1): 37–61.Search in Google Scholar

Klepper, S., and Thompson, P. (2006). Submarkets and the evolution of market structure. Rand Journal of Economics, 37(4): 861–886.Search in Google Scholar

Knaup, A. E., and Piazza, M. C. (2007). Business Employment Dynamics data: survival and longevity, II. Monthly Labour Review, 130: 3–10.Search in Google Scholar

Knorr, A., and Arndt, A. (2004). Alliance strategy and the fall of Swissair: a comment. Journal of Air Transport Management, 10(2): 119–123.Search in Google Scholar

Marsili, O. (2005). Technology and the Size Distribution of Firms: Evidence from Dutch Manufacturing. Review of Industrial Organization, 27(4): 303–328.Search in Google Scholar

Mata, J., and Portugal, P. (1994). Life duration of new firms. Journal of Industrial Economics, 42(3): 227–245.Search in Google Scholar

Mata, J., Portugal, P., and Guimaraes, P. (1995). The survival of new plants: Startup conditions and post-entry evolution. International Journal of Industrial Organization, 13(4): 459–481.Search in Google Scholar

Persson, H. (2004). The survival and growth of new establishments in Sweden, 1987-1995. Small Business Economics, 23(5): 423–440.Search in Google Scholar

Reed, W. (2001). The Pareto, Zipf and other power laws. Economics Letters, 74(1): 15–19.Search in Google Scholar

Salter, W. E. G. (1960). Productivity and Technical Change. Cambridge University Press, Cambridge UK.Search in Google Scholar

Santarelli, E., and Vivarelli, M. (2007). Entrepreneurship and the process of firms’ entry, survival and growth. Industrial and Corporate Change, 16(3): 455–488.Search in Google Scholar

Segarra, A., Teruel, M., Arauzo, J., and Iranzo, S. (2008). Dinámica empresarial, creación de empleo y productividad en las manufacturas españolas. Project for the Spanish government (Ministerio de Industria, Turismo y Comercio), Madrid.Search in Google Scholar

Simon, H. (1955). On a class of skew distribution functions. Biometrika, 42(3): 425–440.Search in Google Scholar

Simon, H. A. (1968). On Judging the Plausibility of Theories. In Logic, methodology and philosophy of science; proceedings of the international congress for Logic, Methodology and Philosophy of Science, pages 439–459. Amsterdam: North-Holland.Search in Google Scholar

Stinchcombe, A. (1965). Social structure and organizations. In J. G. March (Ed.), Handbook of Organizations, pages 142–193. Rand McNally, Chicago.Search in Google Scholar

Sutton, J. (1997). Gibrat’s Legacy. Journal of Economic Literature, XXXV: 40–59.Search in Google Scholar

The Economist (2004). The world’s oldest companies: The business of survival. December 18th, pp122-3.Search in Google Scholar

Thompson, P. (2005). Selection and firm survival: Evidence from the shipbuilding industry, 1825-1914. Review of Economics and Statistics, 87(1): 26–36.Search in Google Scholar

Winker, P. (1999). Causes and effects of financing constraints at the firm level. Small Business Economics, 12(2): 169–181.Search in Google Scholar

Published Online: 2010-05-21
Published in Print: 2010-12-01

© 2010 Alex Coad, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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