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Forecasting tourist arrivals using multivariate singular spectrum analysis

Author

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  • Andrea Saayman

    (North-West University, South Africa)

  • Jacques de Klerk

    (North-West University, South Africa)

Abstract

The accurate forecasting of tourist arrivals has become a necessity for destination managers and tourism businesses. Singular spectrum analysis (SSA) has been applied in other areas, although its application in tourism demand is limited to SSA using a single univariate time series. New developments in the field extend the univariate framework into a multivariate SSA (MSSA). This article aims to forecast tourist arrivals from five continents to South Africa using MSSA and to compare the forecasting accuracy with that of univariate SSA as well as the baseline seasonal naïve model. The results show that in all but one case, MSSA leads to improved forecasting accuracy compared to univariate SSA and that these improvements are especially prevalent when forecasting over longer time horizons.

Suggested Citation

  • Andrea Saayman & Jacques de Klerk, 2019. "Forecasting tourist arrivals using multivariate singular spectrum analysis," Tourism Economics, , vol. 25(3), pages 330-354, May.
    • Handle: RePEc:sae:toueco:v:25:y:2019:i:3:p:330-354
    DOI: 10.1177/1354816618768318
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    References listed on IDEAS

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    1. Rodríguez, Xosé A. & Martínez-Roget, Fidel & Pawlowska, Ewa, 2012. "Academic tourism demand in Galicia, Spain," Tourism Management, Elsevier, vol. 33(6), pages 1583-1590.
    2. Christina Beneki & Bruno Eeckels & Costas Leon, 2012. "Signal Extraction and Forecasting of the UK Tourism Income Time Series: A Singular Spectrum Analysis Approach," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 31(5), pages 391-400, August.
    3. Hossein Hassani & Saeed Heravi & Anatoly Zhigljavsky, 2013. "Forecasting UK Industrial Production with Multivariate Singular Spectrum Analysis," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 32(5), pages 395-408, August.
    4. Kerry Patterson & Hossein Hassani & Saeed Heravi & Anatoly Zhigljavsky, 2011. "Multivariate singular spectrum analysis for forecasting revisions to real-time data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(10), pages 2183-2211.
    5. Bonham, Carl & Gangnes, Byron & Zhou, Ting, 2009. "Modeling tourism: A fully identified VECM approach," International Journal of Forecasting, Elsevier, vol. 25(3), pages 531-549, July.
    6. Athanasopoulos, George & Hyndman, Rob J. & Song, Haiyan & Wu, Doris C., 2011. "The tourism forecasting competition," International Journal of Forecasting, Elsevier, vol. 27(3), pages 822-844, July.
    7. Witt, Stephen F. & Witt, Christine A., 1995. "Forecasting tourism demand: A review of empirical research," International Journal of Forecasting, Elsevier, vol. 11(3), pages 447-475, September.
    8. Hassani, Hossein & Heravi, Saeed & Zhigljavsky, Anatoly, 2009. "Forecasting European industrial production with singular spectrum analysis," International Journal of Forecasting, Elsevier, vol. 25(1), pages 103-118.
    9. Andrea Saayman & Ilsé Botha, 2017. "Non-linear models for tourism demand forecasting," Tourism Economics, , vol. 23(3), pages 594-613, May.
    10. Andrea Saayman & Melville Saayman, 2008. "Determinants of Inbound Tourism to South Africa," Tourism Economics, , vol. 14(1), pages 81-96, March.
    11. Song, Haiyan & Li, Gang & Witt, Stephen F. & Athanasopoulos, George, 2011. "Forecasting tourist arrivals using time-varying parameter structural time series models," International Journal of Forecasting, Elsevier, vol. 27(3), pages 855-869.
    12. Hassani, Hossein, 2007. "Singular Spectrum Analysis: Methodology and Comparison," MPRA Paper 4991, University Library of Munich, Germany.
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    Cited by:

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    3. Mei-Chih Wang & Tsangyao Chang & Jennifer Min, 2022. "Revisit stock price bubbles in the COVID-19 period: Further evidence from Taiwan’s and Mainland China’s tourism industries," Tourism Economics, , vol. 28(4), pages 951-960, June.
    4. Kalantari, Mahdi, 2021. "Forecasting COVID-19 pandemic using optimal singular spectrum analysis," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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