Gibrat's Law and the Growth of Cities in Brazil: A Panel Data Investigation

The paper builds on the results of Clark and Stabler who associated Gibrat's law on the independence of growth rate and city size with unit root tests. The paper proposes a direct test of the unit root hypothesis for firm size based on recently developed panel data unit root tests. The results for a sample of Brazilian cities over the period 1980-2000 favour Gibrat's law. Moreover, the results are robust when one considers sub-samples defined for different population sizes and age of municipality.

[1]  J. S. Clark,et al.  Gibrat's Law and the Growth of Canadian Cities , 1991 .

[2]  G. Cameron GROWTH AREAS, GROWTH CENTRES AND REGIONAL CONVERSION* , 1970 .

[3]  M. Kalecki,et al.  On the Gibrat Distribution , 1945 .

[4]  H. Simon,et al.  Random Processes and the Growth of Firms: A Study of the Pareto Law. , 1966 .

[5]  P. Perron,et al.  Trends and random walks in macroeconomic time series : Further evidence from a new approach , 1988 .

[6]  A. Banerjee,et al.  Panel data unit roots and cointegration: an overview Oxford Bulletin of Economics & Statistics 61 , 1999 .

[7]  H. Simon,et al.  ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .

[8]  W. Hirsch Urban economic analysis , 1974 .

[9]  J. Gans,et al.  Growth in Australian Cities , 1998 .

[10]  Herbert A. Simon,et al.  A MODEL OF BUSINESS FIRM GROWTH , 1967 .

[11]  Edwin Mansfield,et al.  ENTRY, GIBRAT'S LAW, INNOVATION, AND THE GROWTH OF FIRMS , 1962 .

[12]  J. Sutton Gibrat's Legacy , 1996 .

[13]  David H. Papell Searching for stationarity: Purchasing power parity under the current float , 1997 .

[14]  Convergence in International Output: Evidence from Panel Data Unit Root Tests , 2002 .

[15]  Herbert A. Simon,et al.  Interpretations of Departures from the Pareto Curve Firm-Size Distributions , 1974, Journal of Political Economy.

[16]  Bronwyn H Hall,et al.  The Relationship between Firm Size and Firm Growth in the U.S. Manufacturing Sector , 1986 .

[17]  F. Guerin-pace,et al.  Rank-Size Distribution and the Process of Urban Growth , 1995 .

[18]  Donald Hay,et al.  Industrial Economics and Organization: Theory and Evidence , 1991 .

[19]  G. Maddala,et al.  A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test , 1999 .

[20]  S. J. Prais,et al.  The Analysis of Business Concentration: A Statistical Approach , 1956 .

[21]  J. Steindl,et al.  Random Processes and the Growth of Firms. A Study of the Pareto Law. , 1966 .

[22]  C. Nelson,et al.  Trends and random walks in macroeconmic time series: Some evidence and implications , 1982 .

[23]  M. Pesaran,et al.  Testing for unit roots in heterogeneous panels , 2003 .

[24]  Zvi Eckstein,et al.  Cities and Growth: Theory and Evidence from France and Japan , 1994 .

[25]  C. I. Jones,et al.  Productivity across industries and countries : time series theory and evidence , 1996 .

[26]  D. Vining Autocorrelated Growth Rates and the Pareto Law: A Further Analysis , 1976, Journal of Political Economy.

[27]  Andrew T. Levin,et al.  Unit root tests in panel data: asymptotic and finite-sample properties , 2002 .

[28]  D. Peel,et al.  Linear and Non-linear Models of Economic Time Series: An Introduction with Applications To Industrial Economics , 1994 .