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Gibrat’s law in the trucking industry

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  • Andrew T. Balthrop

    (University of Arkansas)

Abstract

The distribution of firm size in the trucking industry is highly skewed, with a few firms accounting for a disproportionate share of transport. The distribution is also highly disperse so that firms have no characteristic size. This paper demonstrates that the distribution of firms sizes can be well approximated by the Zipf distribution. Such a distribution is consistent with a random growth process that is independent of firm size (Gibrat’s law). We use data from the Federal Motor Carrier Safety Administration in 2016 to demonstrate that the Zipf distribution provides a fit that is as good or better than other competing distributions, strongly supporting the model of random growth.

Suggested Citation

  • Andrew T. Balthrop, 2021. "Gibrat’s law in the trucking industry," Empirical Economics, Springer, vol. 61(1), pages 339-354, July.
    • Handle: RePEc:spr:empeco:v:61:y:2021:i:1:d:10.1007_s00181-020-01851-1
    DOI: 10.1007/s00181-020-01851-1
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    References listed on IDEAS

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    1. Cristiana Donati, 2016. "Firm growth and liquidity constraints: evidence from the manufacturing and service sectors in Italy," Applied Economics, Taylor & Francis Journals, vol. 48(20), pages 1881-1892, April.
    2. Mercedes Teruel-Carrizosa, 2010. "Gibrat’s law and the learning process," Small Business Economics, Springer, vol. 34(4), pages 355-373, May.
    3. Fujiwara, Yoshi & Di Guilmi, Corrado & Aoyama, Hideaki & Gallegati, Mauro & Souma, Wataru, 2004. "Do Pareto–Zipf and Gibrat laws hold true? An analysis with European firms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(1), pages 197-216.
    4. Xavier Gabaix, 2016. "Power Laws in Economics: An Introduction," Journal of Economic Perspectives, American Economic Association, vol. 30(1), pages 185-206, Winter.
    5. Cantor, David E. & Corsi, Thomas M. & Grimm, Curtis M., 2017. "The impact of new entrants and the new entrant program on motor carrier safety performance," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 97(C), pages 217-227.
    6. Benguigui, Lucien & Blumenfeld-Lieberthal, Efrat, 2007. "A dynamic model for city size distribution beyond Zipf's law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 613-627.
    7. Enrico Santarelli (ed.), 2006. "Entrepreneurship, Growth, and Innovation," International Studies in Entrepreneurship, Springer, number 978-0-387-32314-5, December.
    8. Gaffeo, Edoardo & Gallegati, Mauro & Palestrini, Antonio, 2003. "On the size distribution of firms: additional evidence from the G7 countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 117-123.
    9. Sven-Olov Daunfeldt & Niklas Elert, 2013. "When is Gibrat’s law a law?," Small Business Economics, Springer, vol. 41(1), pages 133-147, June.
    10. Ishikawa, Atushi & Fujimoto, Shouji & Watanabe, Tsutomu & Mizuno, Takayuki, 2013. "The emergence of different tail exponents in the distributions of firm size variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2104-2113.
    11. Y. Malevergne & V. Pisarenko & D. Sornette, 2005. "Empirical distributions of stock returns: between the stretched exponential and the power law?," Quantitative Finance, Taylor & Francis Journals, vol. 5(4), pages 379-401.
    12. Xavier Gabaix & Rustam Ibragimov, 2011. "Rank - 1 / 2: A Simple Way to Improve the OLS Estimation of Tail Exponents," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(1), pages 24-39, January.
    13. 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.
    14. Hall, Randolph W., 1993. "Design for local area freight networks," Transportation Research Part B: Methodological, Elsevier, vol. 27(2), pages 79-95, April.
    15. Deutsch, J.M., 1994. "Probability distributions for one component equations with multiplicative noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 208(3), pages 433-444.
    16. James N. Giordano, 2014. "A Statistical Illusion of Large‐firm Conformity to Gibrat's Law," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 35(4), pages 288-299, June.
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    Cited by:

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    2. Sherzod B. Akhundjanov & Tatiana Drugova, 2022. "On the growth process of US agricultural land," Empirical Economics, Springer, vol. 63(3), pages 1727-1740, September.

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    More about this item

    Keywords

    Gibrat’s law; Transportation; Trucking; Power law; Pareto distribution; Scaling distribution; Fractal;
    All these keywords.

    JEL classification:

    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L91 - Industrial Organization - - Industry Studies: Transportation and Utilities - - - Transportation: General
    • R40 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - Transportation Economics - - - General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

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