Tourism in the Canary Islands: Forecasting using several seasonal time series models

Journal of Forecasting

Volumn 27, Issue 7, 2008, Pages 621-636

  Gil Alana, Luis A ^a   Cunado, Juncal ^a   De Gracia, Fernando Ferez ^a  

^a UNIVERSITY OF NAVARRA   (Spain)

Author keywords

Forecasting; Long memory; Seasonality; Tourism

Indexed keywords

STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

CANARY ISLANDS; DETERMINISTICS; FRACTIONALLY INTEGRATED MODELS; LONG MEMORY; SEASONAL TIME SERIES; SEASONAL UNIT ROOT; SEASONALITY; STATISTIC MODELING; STOCHASTICS; TIMES SERIES MODELS;

FORECASTING;

EID: 55349105813     PISSN: 02776693     EISSN: 1099131X     Source Type: Journal    
DOI: 10.1002/for.1077     Document Type: Article

References (46)

1. Ashley R. 1998. A new technique for postsample model selection and validation. Journal of Economics Dynamics and Control 22: 647-665.
2. Beaulieu JJ, Miron JA. 1993. Seasonal unit roots in aggregate US output. Journal of Econometrics 55: 305-328.
3. Brännäs K, Hellström J, Nordström J. 2002. A new approach to modelling and forecasting monthly guest nights in hotels. International Journal of Forecasting 18: 19-30.
4. Canova F, Hansen BS. 1995. Are seasonal patterns constant over time? A test for seasonal stability. Journal of Business and Economic Statistics 13: 237-252.
5. Carlin JB, Dempster AP. 1989. Sensitivity analysis of seasonal adjustments: empirical cases studies. Journal of the American Statistical Association 84: 6-20.
6. Carlin JB, Dempster AP, Jonas AB. 1985. On methods and moments for Bayesian time series analysis. Journal of Econometrics 30: 67-90.
7. Clark TE, McCracken MW. 2001. Tests of forecast accuracy and encompassing for nested models. Journal of Econometrics 105: 85-110.
8. Díaz-Pérez FM, Bethencourt-Cejas M, Alvarez-Gonzalez JA. 2005. The segmentation of Canary Island tourism markets by expenditure: implications for tourism policy. Tourism Management 26: 961-964.
9. Dickey DA, Fuller WA. 1979. Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association 74: 427-431.
10. Dickey DA, Hasza DP, Fuller WA. 1984. Testing for unit roots in seasonal time series. Journal of the American Statistical Association 79: 355-367.
11. Diebold FX, Inoue A. 2001. Long memory and regime switching. Journal of Econometrics 105: 131-159.
12. Diebold FX, Mariano RS. 1995. Comparing predictive accuracy. Journal of Business, Economics and Statistics 13: 253-263.
13. Franses PH. 1991. Seasonality, nonstationarity and forecasting of monthly time series. International Journal of Forecasting 7: 199-208.
14. Franses PH, Hobijn B. 1997. Critical values for unit root tests in seasonal time series. Journal of Applied Statistics 24: 25-27.
15. Garín-Muñoz T. 2006. Inbound international tourism to Canary Islands: a dynamic panel data model. Tourism Management 27: 281-291.
16. Ghysels E, Lee HS, Noh J. 1994. Testing for unit roots in seasonal time series: some theoretical extensions and a Monte Carlo investigation. Journal of Econometrics 62: 415-443.
17. Gil-Alana LA. 2002. Seasonal long memory in the aggregate output. Economics Letters 74: 333-337.
18. Gil-Alana LA, Robinson PM. 2001. Testing of seasonal fractional integration in UK and Japanese consumption and income. Journal of Applied Econometrics 16: 95-114.
19. Gobierno de Canarias - Consejería de Turismo. 2004. Cuenta impactur de Canarias: Avance de resultados.Comunicado de Prensa.
20. Goh C, Law R. 2002. Modelling and forecasting tourism demand for arrivals with stochastic nonstationary sea-sonality and intervention. Tourism Management 23: 499-510.
21. Granger CWJ. 1980. Long memory relationships and aggregation of dynamic models. Journal of Econometrics 14: 227-238.
22. Gustavsson P, Nordström J. 2001. The impact of seasonal unit roots and vector ARMA modelling on forecasting monthly tourism flows. Tourism Economics 7: 117-133.
23. Harvey DI, Leybourne SJ, Newbold P. 1997. Testing the equality of prediction mean squared errors. International Journal of Forecasting 13: 281-291.
24. Hernández R. 2004. Impact of tourism consumption on GDP: the role of imports. Nota Di Lavoro 27 FEEM Working Paper No. 27. 2004.
25. Hernandez-Lopez M. 2004. Future tourists' characteristics and decisions: the use of genetic algorithms as a forecasting. Tourism Economics 10: 245-262.
26. nd Meeting of the International Environment Modelling and Software Society 3: 1345-1350.
27. Hylleberg S, Engle RF, Granger CWJ, Yoo BS. 1990. Seasonal integration and cointegration. Journal of Econometrics 44: 215-238.
28. Jonas AB. 1981. Long memory self similar time series models. Manuscript, Department of Statistics, Harvard University.
29. Kim JH. 1999. Forecasting monthly tourists departures from Australia. Tourism Economics 5: 277-291.
30. Kulendran N, King ML. 1997. Forecasting international quarterly tourist flows using error-correction and time series models. International Journal of Forecasting 13: 319-327.
31. Lildholdt PM. 2002. Sources of seasonal fractional integration in macroeconomic time series. Working Paper No. 125, Centre for Analytical Finance, University of Aarhus
32. Lim C, McAleer M. 2002. Time series forecasts of international travel demand for Australia. Tourism Management 23: 389-396.
33. Makridakis S, Hibon M. 2000. The M-3 competition: results, conclusions and implications. International Journal of Forecasting 16: 451-476.
34. Makridakis S, Wheelwright S, Hyndman R. 1998. Forecasting Methods and Applications (3rd edn). Wiley: Chichester.
35. Melenberg B, van Soest A. 1996. Parametric and semi-parametric modelling of vacation expenditures. Journal of Applied Econometrics 11: 59-76
36. Ministerio de Industria, Turismo y Comercio. 2006. Diez indicadores mensuales de la economía española. Subdirección General de Estudios y Planes de Actuatión.
37. Moreno S. 2003. Tourism development in the Canary. Annals of Tourism Research 30: 744-747.
38. Osborn DR, Smith JP. 1989. The performance of period AR models in forecasting seasonal UK consumption. Journal of Business and Economic Statistics 7: 117-127.
39. Parke WR. 1999. What is fractional integration? Review of Economics and Statistics 81: 632-638.
40. Porter-Hudak S. 1990. An application of the seasonal fractionally differenced model to the monetary aggregate. Journal of the American Statistical Association 85: 338-344.
41. Ray BK. 1993. Long range forecasting of IBM product revenues using a seasonal fractionally differenced ARMA model. International Journal of Forecasting 9: 255-269.
42. Robinson PM. 1978. Statistical inference for a random coefficient autoregressive model. Scandinavian Journal of Statistics 5: 163-168.
43. Robinson PM. 1994. Efficient tests of nonstationary hypotheses. Journal of the American Statistical Association 89: 1420-1437.
44. Sutcliffe A. 1994. Time series forecasting using fractional differencing. Journal of Forecasting 13: 383-393.
45. Tam W, Reimsel GC. 1997. Tests for seasonal moving average unit root in ARIMA models. Journal of the American Statistical Association 92: 725-738.
46. Witt SF, Witt CA. 1992. Modelling and Forecasting Demand in Tourism. Academic Press: London.