IDEAS home Printed from https://ideas.repec.org/a/sae/toueco/v10y2004i1p79-94.html
   My bibliography  Save this article

Modelling Monthly Spanish Tourism: A Seasonal Fractionally Integrated Approach

Author

Listed:
  • J. Cunado
  • L.A. Gil-Alana
  • F. Pérez de Gracia

Abstract

The authors examine the monthly structure of Spanish tourism using fractionally integrated techniques. They propose the use of a procedure attributable to Robinson (1994) that permits the simultaneous testing of degrees of integration at both zero and seasonal frequencies. The tests have standard null and local limit distributions. However, finite-sample critical values are computed and the power properties of the tests in finite samples are also examined. The results, based on the numbers of foreigners and foreign guest nights in Spain, show that both frequencies are important, the order of integration at the long-run or zero frequency being much higher than that corresponding to the seasonal monthly structure.

Suggested Citation

  • J. Cunado & L.A. Gil-Alana & F. Pérez de Gracia, 2004. "Modelling Monthly Spanish Tourism: A Seasonal Fractionally Integrated Approach," Tourism Economics, , vol. 10(1), pages 79-94, March.
  • Handle: RePEc:sae:toueco:v:10:y:2004:i:1:p:79-94
    DOI: 10.5367/000000004773166538
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.5367/000000004773166538
    Download Restriction: no

    File URL: https://libkey.io/10.5367/000000004773166538?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kulendran, N. & King, Maxwell L., 1997. "Forecasting international quarterly tourist flows using error-correction and time-series models," International Journal of Forecasting, Elsevier, vol. 13(3), pages 319-327, September.
    2. L. A. Gil‐Alana, 2001. "Testing Stochastic Cycles in Macroeconomic Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(4), pages 411-430, July.
    3. Beaulieu, J Joseph & Miron, Jeffrey A, 1992. "A Cross Country Comparison of Seasonal Cycles and Business Cycles," Economic Journal, Royal Economic Society, vol. 102(413), pages 772-788, July.
    4. L. A. Gil-Alana & P. M. Robinson, 2001. "Testing of seasonal fractional integration in UK and Japanese consumption and income," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(2), pages 95-114.
    5. Brannas, Kurt & Hellstrom, Jorgen & Nordstrom, Jonas, 2002. "A new approach to modelling and forecasting monthly guest nights in hotels," International Journal of Forecasting, Elsevier, vol. 18(1), pages 19-30.
    6. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    7. Alan Morris & Ken Wilson & Steve Bakalis, 1995. "Modelling Tourism Flows from Europe to Australia," Tourism Economics, , vol. 1(2), pages 147-167, June.
    8. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
    9. Lindsay W. Turner & N. Kulendran & V. Pergat, 1995. "Forecasting New Zealand Tourism Demand with Disaggregated Data," Tourism Economics, , vol. 1(1), pages 51-69, March.
    10. Lindsay W. Turner & N. Kulendran & H. Fernando, 1997. "Univariate Modelling Using Periodic and Non-Periodic Analysis: Inbound Tourism to Japan, Australia and New Zealand Compared," Tourism Economics, , vol. 3(1), pages 39-56, March.
    11. Hylleberg, Svend, 1986. "Seasonality in Regression," Elsevier Monographs, Elsevier, edition 1, number 9780123634559 edited by Shell, Karl.
    12. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    13. William R. Parke, 1999. "What Is Fractional Integration?," The Review of Economics and Statistics, MIT Press, vol. 81(4), pages 632-638, November.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Lean, Hooi Hooi & Smyth, Russell, 2009. "Long memory in US disaggregated petroleum consumption: Evidence from univariate and multivariate LM tests for fractional integration," Energy Policy, Elsevier, vol. 37(8), pages 3205-3211, August.
    2. Luis A Gil-Alana & James E Payne, 2022. "Persistence, seasonality, and fractional integration within a nonlinear framework: Evidence from US citizens’ overseas travel," Tourism Economics, , vol. 28(3), pages 654-660, May.
    3. J. Cunado & L.A. Gil-Alana & F. P Erez de Gracia, 2008. "Fractional Integration and Structural Breaks: Evidence from International Monthly Arrivals in the USA," Tourism Economics, , vol. 14(1), pages 13-23, March.
    4. Juncal Cuñado & Alberiko Gil-Alana, Luis & Perez De Gracia, Fernando, 2011. "Modelling International Monthly Tourist in Spain/Modelización de llegadas mensuales de turistas a España," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 29, pages 723-736, Diciembre.
    5. James E Payne & Junsoo Lee, 2024. "Global perspective on the permanent or transitory nature of shocks to tourist arrivals: Evidence from new unit root tests with structural breaks and factors," Tourism Economics, , vol. 30(1), pages 67-103, February.
    6. José Álvarez-García & María De la Cruz Del Río-Rama & María Del Mar Miras-Rodríguez, 2017. "How Do Quality Practices Affect the Results?: The Experience of Thalassotherapy Centres in Spain," Sustainability, MDPI, vol. 9(4), pages 1-19, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. J. Cunado & L.A. Gil-Alana & F. Péarez de Gracia, 2005. "The Nature of Seasonality in Spanish Tourism Time Series," Tourism Economics, , vol. 11(4), pages 483-499, December.
    2. Nicholas Apergis & Andrea Mervar & James E. Payne, 2017. "Forecasting disaggregated tourist arrivals in Croatia," Tourism Economics, , vol. 23(1), pages 78-98, February.
    3. L.A. Gil-Alana, 2003. "Testing the Power of a Generalization of the KPSS-Tests against Fractionally Integrated Hypotheses," Computational Economics, Springer;Society for Computational Economics, vol. 22(1), pages 23-38, August.
    4. Gil-Alana, Luis A., 2004. "Modelling the U.S. interest rate in terms of I(d) statistical models," The Quarterly Review of Economics and Finance, Elsevier, vol. 44(4), pages 475-486, September.
    5. Christian Fischer & Luis Alberiko Gil-Alana, 2005. "The Nature of the Relationship between International Tourism and International Trade: The Case of Ge," Faculty Working Papers 15/05, School of Economics and Business Administration, University of Navarra.
    6. Guglielmo Maria Caporale & Luis Gil‐Alana, 2014. "Long‐Run and Cyclical Dynamics in the US Stock Market," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 33(2), pages 147-161, March.
    7. Gil-Alana, L.A., 2006. "Seasonal and non-seasonal long memory effects in the Japanese real effective exchange rate," Journal of the Japanese and International Economies, Elsevier, vol. 20(1), pages 87-98, March.
    8. Luis A. Gil‐Alana & S. G. Brian Henry, 2003. "Fractional Integration and the Dynamics of UK Unemployment," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 65(2), pages 221-239, May.
    9. Luis Gil-Alana, 2004. "Forecasting the real output using fractionally integrated techniques," Applied Economics, Taylor & Francis Journals, vol. 36(14), pages 1583-1589.
    10. Pierre Perron & Zhongjun Qu, 2007. "An Analytical Evaluation of the Log-periodogram Estimate in the Presence of Level Shifts," Boston University - Department of Economics - Working Papers Series wp2007-044, Boston University - Department of Economics.
    11. Perron, Pierre & Qu, Zhongjun, 2010. "Long-Memory and Level Shifts in the Volatility of Stock Market Return Indices," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(2), pages 275-290.
    12. Cunado, J. & Gil-Alana, L. A. & Perez de Gracia, F., 2004. "Is the US fiscal deficit sustainable?: A fractionally integrated approach," Journal of Economics and Business, Elsevier, vol. 56(6), pages 501-526.
    13. Baillie, Richard T. & Chung, Sang-Kuck, 2002. "Modeling and forecasting from trend-stationary long memory models with applications to climatology," International Journal of Forecasting, Elsevier, vol. 18(2), pages 215-226.
    14. Bertrand Candelon & Luis A. Gil-Alana, 2004. "Fractional integration and business cycle features," Empirical Economics, Springer, vol. 29(2), pages 343-359, May.
    15. Luis A. Gil-Alana & Juncal Cunado & Fernando Perez de Gracia, 2008. "Tourism in the Canary Islands: forecasting using several seasonal time series models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(7), pages 621-636.
    16. Lu, Yang K. & Perron, Pierre, 2010. "Modeling and forecasting stock return volatility using a random level shift model," Journal of Empirical Finance, Elsevier, vol. 17(1), pages 138-156, January.
    17. Cunado, J. & Gil-Alana, L. A. & Perez de Gracia, F., 2004. "Real convergence in Taiwan: a fractionally integrated approach," Journal of Asian Economics, Elsevier, vol. 15(3), pages 529-547, June.
    18. Christian Fischer & Luis Gil-Alana, 2009. "The nature of the relationship between international tourism and international trade: the case of German imports of Spanish wine," Applied Economics, Taylor & Francis Journals, vol. 41(11), pages 1345-1359.
    19. Giorgio Canarella & Luis A. Gil-Alana & Rangan Gupta & Stephen M. Miller, 2020. "Modeling US historical time-series prices and inflation using alternative long-memory approaches," Empirical Economics, Springer, vol. 58(4), pages 1491-1511, April.
    20. Gil-Alana, Luis A., 2003. "Generalized Fractional Time Series Modelling of the Relationship between Consumption and Income in the UK," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 3(1).

    Corrections

    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:sae:toueco:v:10:y:2004:i:1:p:79-94. See general information about how to correct material in RePEc.

    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 bibliographic 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.

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

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.