IDEAS home Printed from https://ideas.repec.org/a/sae/toueco/v16y2010i2p287-302.html
   My bibliography  Save this article

International Arrivals in the Canary Islands: Persistence, Long Memory, Seasonality and other Implicit Dynamics

Author

Listed:
  • Luis A. Gil-Alana

    (Faculty of Economics, Universidad de Navarra, Edificio Biblioteca, Entrada Este, E-31080 Pamplona, Spain)

Abstract

This study models international monthly arrivals in the Canary Islands using different time-series approaches that enable an examination of the degree of persistence of the series. The author focuses on long memory processes at the long-run or zero frequency, at the seasonal frequencies and at both simultaneously. A forecasting experiment is also conducted and the results indicate that the model with two differencing parameters seems to be the most adequate specification for this series, being non-stationary with respect to the two components and mean reverting with respect to the seasonal structure.

Suggested Citation

  • Luis A. Gil-Alana, 2010. "International Arrivals in the Canary Islands: Persistence, Long Memory, Seasonality and other Implicit Dynamics," Tourism Economics, , vol. 16(2), pages 287-302, June.
  • Handle: RePEc:sae:toueco:v:16:y:2010:i:2:p:287-302
    DOI: 10.5367/000000010791305581
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.5367/000000010791305581
    Download Restriction: no

    File URL: https://libkey.io/10.5367/000000010791305581?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. Sowell, Fallaw, 1992. "Maximum likelihood estimation of stationary univariate fractionally integrated time series models," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 165-188.
    2. 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.
    3. Paresh Kumar Narayan, 2005. "The structure of tourist expenditure in Fiji: evidence from unit root structural break tests," Applied Economics, Taylor & Francis Journals, vol. 37(10), pages 1157-1161.
    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. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    6. Godfrey, Leslie G, 1978. "Testing for Higher Order Serial Correlation in Regression Equations When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1303-1310, November.
    7. Mita Bhattacharya & Paresh Kumar Narayan, 2005. "Testing for the random walk hypothesis in the case of visitor arrivals: evidence from Indian tourism," Applied Economics, Taylor & Francis Journals, vol. 37(13), pages 1485-1490.
    8. 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.
    9. Christine Lim & Michael McAleer, 2001. "Cointegration analysis of quarterly tourism demand by Hong Kong and Singapore for Australia," Applied Economics, Taylor & Francis Journals, vol. 33(12), pages 1599-1619.
    10. Durbin, J, 1970. "Testing for Serial Correlation in Least-Squares Regression When Some of the Regressors are Lagged Dependent Variables," Econometrica, Econometric Society, vol. 38(3), pages 410-421, May.
    11. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    12. Ray, Bonnie K., 1993. "Long-range forecasting of IBM product revenues using a seasonal fractionally differenced ARMA model," International Journal of Forecasting, Elsevier, vol. 9(2), pages 255-269, August.
    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. José María Martín Martín & Jose Antonio Salinas Fernández & José Antonio Rodríguez Martín & Juan De Dios Jiménez Aguilera, 2017. "Assessment of the Tourism’s Potential as a Sustainable Development Instrument in Terms of Annual Stability: Application to Spanish Rural Destinations in Process of Consolidation," Sustainability, MDPI, vol. 9(10), pages 1-20, September.
    2. Dimitrios TSIOTAS & Thomas KRABOKOUKIS & Serafeim POLYZOS, 2020. "Detecting Interregional Patterns In Tourism Seasonality Of Greece: A Principal Components Analysis Approach," Regional Science Inquiry, Hellenic Association of Regional Scientists, vol. 0(2), pages 91-112, June.
    3. 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.
    4. 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.
    5. Xi Wu & Adam Blake, 2023. "Does the combination of models with different explanatory variables improve tourism demand forecasting performance?," Tourism Economics, , vol. 29(8), pages 2032-2056, December.
    6. Oscar Claveria & Enric Monte & Salvador Torra, 2017. "“Regional tourism demand forecasting with machine learning models: Gaussian process regression vs. neural network models in a multiple-input multiple-output setting"," IREA Working Papers 201701, University of Barcelona, Research Institute of Applied Economics, revised Jan 2017.
    7. Song, Haiyan & Qiu, Richard T.R. & Park, Jinah, 2019. "A review of research on tourism demand forecasting," Annals of Tourism Research, Elsevier, vol. 75(C), pages 338-362.
    8. José María Martín Martín & José Antonio Rodriguez Martín & Karla Aída Zermeño Mejía & José Antonio Salinas Fernández, 2018. "Effects of Vacation Rental Websites on the Concentration of Tourists—Potential Environmental Impacts. An Application to the Balearic Islands in Spain," IJERPH, MDPI, vol. 15(2), pages 1-14, February.
    9. Dimitrios Tsiotas & Thomas Krabokoukis & Serafeim Polyzos, 2021. "Detecting Tourism Typologies of Regional Destinations Based on Their Spatio-Temporal and Socioeconomic Performance: A Correlation-Based Complex Network Approach for the Case of Greece," Tourism and Hospitality, MDPI, vol. 2(1), pages 1-27, February.
    10. James E Payne & Luis A Gil-Alana, 2018. "Data measurement and the change in persistence of tourist arrivals to the United States in the aftermath of the September 11th terrorist attacks," Tourism Economics, , vol. 24(1), pages 41-50, February.

    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. L.A. Gil-Alanaa, 2007. "Testing The Existence of Multiple Cycles in Financial and Economic Time Series," Annals of Economics and Finance, Society for AEF, vol. 8(1), pages 1-20, May.
    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. Monge, Manuel & Gil-Alana, Luis A. & Pérez de Gracia, Fernando, 2017. "Crude oil price behaviour before and after military conflicts and geopolitical events," Energy, Elsevier, vol. 120(C), pages 79-91.
    4. Cuestas Juan Carlos & Gil-Alana Luis Alberiko, 2016. "Testing for long memory in the presence of non-linear deterministic trends with Chebyshev polynomials," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 20(1), pages 57-74, February.
    5. 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.
    6. Luis Alberiko Gil-Alaña, 2010. "Tourism in South Africa. Time series persistence and the nature of shocks. Are they transitory or permament?," NCID Working Papers 06/2011, Navarra Center for International Development, University of Navarra.
    7. Paresh Kumar Narayan, 2011. "Are shocks to tourism transitory at business cycle horizons?," Applied Economics, Taylor & Francis Journals, vol. 43(16), pages 2071-2077.
    8. Caporale, Guglielmo Maria & Gil-Alana, Luis A., 2008. "Modelling the US, UK and Japanese unemployment rates: Fractional integration and structural breaks," Computational Statistics & Data Analysis, Elsevier, vol. 52(11), pages 4998-5013, July.
    9. Paresh Kumar Narayan, 2006. "Are Australia's tourism markets converging?," Applied Economics, Taylor & Francis Journals, vol. 38(10), pages 1153-1162.
    10. J. Cunado & L.A. Gil-Alana & F. Perez de Gracia, 2008. "Persistence in International Monthly Arrivals in the Canary Islands," Tourism Economics, , vol. 14(1), pages 123-129, March.
    11. Luis Alberiko Gil-Alana, 2005. "Unit and Fractional Roots in the Presence of Abrupt Changes with an Application to the Brazilian Inf," Faculty Working Papers 19/05, School of Economics and Business Administration, University of Navarra.
    12. Russell Davidson & Victoria Zinde‐Walsh, 2017. "Advances in specification testing," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1595-1631, December.
    13. 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.
    14. L.A. Gil-Alana, 2005. "Fractional Cyclical Structures & Business Cycles in the Specification of the US Real Output," European Research Studies Journal, European Research Studies Journal, vol. 0(1-2), pages 99-126.
    15. Belsley, David A, 1997. "A Small-Sample Correction for Testing for gth-Order Serial Correlation with Artificial Regressions," Computational Economics, Springer;Society for Computational Economics, vol. 10(3), pages 197-229, August.
    16. Ana Pérez & Esther Ruiz, 2002. "Modelos de memoria larga para series económicas y financieras," Investigaciones Economicas, Fundación SEPI, vol. 26(3), pages 395-445, September.
    17. Soares, Lacir Jorge & Souza, Leonardo Rocha, 2006. "Forecasting electricity demand using generalized long memory," International Journal of Forecasting, Elsevier, vol. 22(1), pages 17-28.
    18. 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.
    19. Gil-Alana, Luis A., 2011. "Inflation in South Africa. A long memory approach," Economics Letters, Elsevier, vol. 111(3), pages 207-209, June.
    20. Erum Toor & Tanweer Ul Islam, 2019. "Power Comparison of Autocorrelation Tests in Dynamic Models," International Econometric Review (IER), Econometric Research Association, vol. 11(2), pages 58-69, September.

    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:16:y:2010:i:2:p:287-302. 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.