Skip to main content
Log in

Convergence Across the United States: Evidence from Panel ESTAR Unit Root Test

  • Published:
International Advances in Economic Research Aims and scope Submit manuscript

Abstract

Many empirical studies try to test whether there is income convergence across metropolitan areas in the continental United States. Drennan et al. (Journal of Economic Geography 4(5), 2004) claim that income among metropolitan economies is diverging for the period 1969–2001, after applying univariate unit root tests to the time series data. This paper brings new information to this area of study by using the nonlinear panel unit root test of the Exponential Smooth Auto-Regressive Augmented Dickey–Fuller (ESTAR-ADF) unit root test on the time series data for the period 1929–2005. Our results find evidence of stationarity for time series and thereby support beta and sigma convergence among states in a nonlinear setup. However, when the non-linear test encompasses cross section dependence as advocated by Cerrato et al. (2008), the evidence is attenuated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. http://www.bea.doc.gov/bea/regional/reis

References

  • Acemoglu, D. (2002). Technical change, inequality, and the labor market. Journal of Economic Literature, 40, 7–72.

    Article  Google Scholar 

  • Barro, R. J., & Sala-i-Martin, X. (1991). Convergence across states and regions. Brookings Papers on Economic Activity, 1, 107–182.

    Article  Google Scholar 

  • Barro, R. J., & Sala-i-Martin, X. (1992). Convergence. Journal of Political Economy, 100(2), 223–251.

    Article  Google Scholar 

  • Barro, R. J., & Sala-i-Martin, X. (1995). Economic growth. Boston: McGraw Hill.

    Google Scholar 

  • Baumol, W. (1986). Productivity growth, convergence, and welfare: what the long-run data show. American Economic Review, 76, 116–131.

    Google Scholar 

  • Blanchard, O. J., & Katz, L. F. (1992). Regional evolutions. Brookings Papers on Economic Activity, 1, 1–75.

    Article  Google Scholar 

  • Borts, G. H. (1960). The equalization of returns and regional economic growth. American Economic Review, 50, 319–334.

    Google Scholar 

  • Borts, G. H., & Stein, J. L. (1964). Economic growth in a free market. New York: Columbia University Press.

    Google Scholar 

  • Breitung, J., & Das, S. (2004). Panel unit root tests under cross sectional dependence. Mimeo, University of Bonn.

  • Browne, L. E. (1989). Shifting regional fortunes: The wheel turns. New England Economic Review, Federal Reserve Bank of Boston, May/June, 27–40.

  • Carlino, G. A. (1992). Are regional per capita earning diverging? Business Review, Federal Reserve Bank of Philadelphia, March/April, 3–12.

  • Cerrato, M., de Peretti, C., & Sarantis, N. (2008). A nonlinear panel unit root test under cross section dependence. Discussion Paper 2008–08, Department of Economics, University of Glasgow.

  • Choi, I. (2001). Unit root tests for panel data. Journal of International Money and Finance, 20(2), 249–272.

    Article  Google Scholar 

  • Crihfield, C. J., & Panggabean, M. (1995). Growth and convergence in US cities. Journal of Urban Economics, 38, 138–165.

    Article  Google Scholar 

  • De Long, J. (1988). Productivity growth, convergence, and welfare: comment. American Economic Review, 78, 1138–1154.

    Google Scholar 

  • Dickey, D. A., & Fuller, W. A. (1976). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74, 427–431.

    Article  Google Scholar 

  • Drennan, M. P., & Lobo, J. (1999). A simple test for convergence of metropolitan income in the United States. Journal of Urban Economics, 46, 350–359.

    Article  Google Scholar 

  • Drennan, M. P., Lobo, J., Strumsky, D. (2004). Unit root tests of sigma income convergence across metropolitan areas of the U.S. Journal of Economic Geography, 4(5).

  • Drennan, M. P., Tobier, E., & Lewis, J. (1996). The interruption of income convergence and income growth in large cities in the 1980s. Urban Studies, 33, 63–82.

    Article  Google Scholar 

  • Fan, C. S. (2004). Quality, trade, and growth. Journal of Economic Behavior and Organization, 55(2), 271–291.

    Article  Google Scholar 

  • Friedman, M. (1992). Do old fallacies ever die? Journal of Economic Literature, 29, 2129–2132.

    Google Scholar 

  • Glaeser, E. L., Scheinkman, J. A., Shleifer, A. (1995). Economic growth in a cross-section of cities. Journal of Monetary Economics, 36, 117–143.

    Google Scholar 

  • Im, K. S., Pesaran, H. M., Shin, Y. (1997). Testing for unit roots in heterogeneous panels. Working paper, Department of Applied Economics, University of Cambridge.

  • Jones, C. (1997). Convergence revisited. Journal of Economic Growth, 2, 131–153.

    Article  Google Scholar 

  • Kapetanios, G., Shin, Y., & Snell, A. (2003). Testing for a unit root in the Nonlinear STAR Framework. Journal of Econometrics, 112, 359–379.

    Article  Google Scholar 

  • Levin, A., & Lin, C. (1992). Unit root tests in panel data: Asymptotic and finite sample properties. Discussion Paper No. 92–93, Department of Economics, University of California, San Diego

  • Levin, A., Lin, C.-F., & Chu, C.-S. J. (2002). Unit root tests in panel data: asymptotic and finite-sample properties. Journal of Econometrics, 108, 1–25.

    Article  Google Scholar 

  • Maddala, G. S., & Wu, S. (1999). A comparative study of unit root tests with panel data and a new simple test. Oxford Bulletin of Economics and Statistics, 61, 631–652.

    Article  Google Scholar 

  • Mallick, R. (1993). Convergence of state per capita incomes: an examination of its sources. Growth and Change, 325–334.

  • Mankiw, N. G., Romer, D., & Weil, D. N. (1992). A contribution to the empirics of economic growth. Quarterly Journal of Economics, 107, 407–437.

    Article  Google Scholar 

  • Michael, P., Nobay, A. R., & Peel, D. A. (1997). Transaction costs and nonlinear adjustment in real exchange rates: an empirical investigation. Journal of Political Economy, 105(4), 862–879.

    Article  Google Scholar 

  • Perloff, H. S. (1963). How a region grows. New York: Committee for Economic Development.

    Google Scholar 

  • Pritchett, L. (1997). Divergence, big time. Journal of Economic Perspectives, 11(3), 3–17.

    Google Scholar 

  • Quah, D. (1993). Galton’s fallacy and tests of the convergence hypothesis. Scandinavian Journal of Economics, 93, 427–443.

    Google Scholar 

  • Sarno, L., Taylor, M. P., & Chowdhury, I. (2004). Nonlinear dynamics in deviations from the law of one price: a broad-based empirical study. Journal of International Money and Finance, 23(1), 1–25.

    Article  Google Scholar 

  • Solow, R. (1956). A contribution to the theory of economic growth. Quarterly Journal of Economics, 70(1), 65–94.

    Article  Google Scholar 

  • Taylor, M. P., Peel, D. A., & Sarno, L. (2001). Nonlinear mean-reversion in real exchange rates: toward a solution to the purchasing power parity puzzles. International Economics Review, 42(4), 1015–1042.

    Article  Google Scholar 

  • Vohra, R. (1996). How fast do we grow? Growth and Change, 47–54.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chi-Keung Marco Lau.

Appendix

Appendix

Table 4 States included

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lau, CK.M. Convergence Across the United States: Evidence from Panel ESTAR Unit Root Test. Int Adv Econ Res 16, 52–64 (2010). https://doi.org/10.1007/s11294-009-9241-8

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11294-009-9241-8

Keywords

JEL

Navigation