IDEAS home Printed from
   My bibliography  Save this paper

International Migration to Germany: Estimation of a Time-Series Model and Inference in Panel Cointegration


  • Herbert Brücker
  • Boriss Siliverstovs
  • Parvati Trübswetter


In this paper we study the determinants of international migration to Germany, 1967-2000. The empirical literature on macro-economic migration functions usually explains migration flows by a set of explanatory variables such as the income differential, employment rates, and migrations stocks as in Hatton (1995), for example. Since macroeconomic variables are widely acknowledged as nonstationary, the standard model in the migration literature can only meet the requirements of modern non-stationary time-series econometrics if migrations flows and the explanatory variables are integrated of the same order and if these variables form a cointegrated set. In order to prove whether the standard specification is compatible with our data, we use the univariate Augmented Dickey-Fuller test as well as its panel data version, developed in Im, Pesaran, and Shin (2003), to test for unit roots in the time series. The tests demonstrate that migration rates are stationary, while the remaining explanatory variables follow I(1) processes. Consequently, we suggest an alternative specification of the long-run migration function with migration stocks as the dependent variable. For this specification, we find that all variables are I(1) processes, and that the null of no cointegration can be decisively rejected by applying the panel cointegration test of Pedroni (1999). The parameter inference in the cointegrating regressions is conducted using the method of canonical cointegrating regressions of Park (1992). Our empirical findings generally agree with predictions of migration theory.

Suggested Citation

  • Herbert Brücker & Boriss Siliverstovs & Parvati Trübswetter, 2003. "International Migration to Germany: Estimation of a Time-Series Model and Inference in Panel Cointegration," Discussion Papers of DIW Berlin 391, DIW Berlin, German Institute for Economic Research.
  • Handle: RePEc:diw:diwwpp:dp391

    Download full text from publisher

    File URL:
    Download Restriction: no

    References listed on IDEAS

    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters,in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
    2. Burda, Michael C, 1995. "Migration and the Option Value of Waiting," CEPR Discussion Papers 1229, C.E.P.R. Discussion Papers.
    3. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November.
    4. Faini, Riccardo & Venturini, Alessandra, 1994. "Migration and Growth: The Experience of Southern Europe," CEPR Discussion Papers 964, C.E.P.R. Discussion Papers.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    7. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 39(3), pages 106-135.
    8. Greenwood, Michael J, 1975. "Research on Internal Migration in the United States: A Survey," Journal of Economic Literature, American Economic Association, vol. 13(2), pages 397-433, June.
    9. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
    10. Wu, Yangru & Zhang, Hua, 1996. "Mean Reversion in Interest Rates: New Evidence from a Panel of OECD Countries," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(4), pages 604-621, November.
    Full references (including those not matched with items on IDEAS)


    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.

    Cited by:

    1. Anna Mayda, 2010. "International migration: a panel data analysis of the determinants of bilateral flows," Journal of Population Economics, Springer;European Society for Population Economics, vol. 23(4), pages 1249-1274, September.
    2. Stefano Fachin, 2007. "Long-run trends in internal migrations in italy: a study in panel cointegration with dependent units," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 401-428.
    3. Dan-Olof Rooth, 2007. "Implicit Discrimination in Hiring – Real World Evidence," CReAM Discussion Paper Series 0705, Centre for Research and Analysis of Migration (CReAM), Department of Economics, University College London.

    More about this item


    Migration; unit roots; panel cointegration;

    JEL classification:

    • F22 - International Economics - - International Factor Movements and International Business - - - International Migration
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    NEP fields

    This paper has been announced in the following NEP Reports:


    Access and download statistics


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:diw:diwwpp:dp391. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bibliothek). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.