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

Author

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  • 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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    4. 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.
    5. 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.
    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. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
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    Cited by:

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    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.

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