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A Demand Forecasting Method Based on Stochastic Frontier Analysis and Model Average: An Application in Air Travel Demand Forecasting

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Abstract

Demand forecasting is often difficult due to the unobservability of the applicable historical demand series. In this study, the authors propose a demand forecasting method based on stochastic frontier analysis (SFA) models and a model average technique. First, considering model uncertainty, a set of alternative SFA models with various combinations of explanatory variables and distribution assumptions are constructed to estimate demands. Second, an average estimate from the estimated demand values is obtained using a model average technique. Finally, future demand forecasts are achieved, with the average estimates used as historical observations. An empirical application of air travel demand forecasting is implemented. The results of a forecasting performance comparison show that in addition to its ability to estimate demand, the proposed method outperforms other common methods in terms of forecasting passenger traffic.

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References

  1. Clements MP and Hendry D F, The Oxford Handbook of Economic Forecasting, OxfordUniversity Press, Oxford, 2011.

    Book  Google Scholar 

  2. Kulendran N and Wilson K, Is there a relationship between international trade and international travel? Applied Economics, 2000, 32(8): 1001–1009.

    Google Scholar 

  3. Lim C and McAleer M, Cointegration analysis of quarterly tourism demand by Hong Kong and Singapore for Australia, Applied Economics, 2001, 33(12): 1599–1619.

    Article  Google Scholar 

  4. Song H and Witt S F, Forecasting international tourist flows to Macau, Tourism Management, 2006, 27(2): 214–224.

    Article  Google Scholar 

  5. Koen R and Holloway J, Application of multiple regression analysis to forecasting South Africa’s electricity demand, Journal of Energy in Southern Africa, 2014, 25(4): 48–58.

    Article  Google Scholar 

  6. McNown R, Aburizaizah O S, Howe C, et al., Forecasting annual water demands dominated by seasonal variations: The case of water demands in Mecca, Applied Economics, 2005, 47(6): 544–552.

    Article  Google Scholar 

  7. Cho V, Tourism forecasting and its relationship with leading economic indicators, Journal of Hospitality and Tourism Research, 2001, 25(4): 399–420.

    Article  Google Scholar 

  8. Goh C and Law R, Modeling and forecasting tourism demand for arrivals with stochastic nonstationary seasonality and intervention, Tourism Management, 2002, 23(5): 499–510.

    Article  Google Scholar 

  9. Gil-Alana L A, Modelling international monthly arrivals using seasonal univariate long-memory processes, Tourism Management, 2005, 26(6): 867–878.

    Article  MathSciNet  Google Scholar 

  10. Ediger V S¸ and Akar S, ARIMA forecasting of primary energy demand by fuel in Turkey, Energy Policy, 2007, 35(3): 1701–1708.

    Google Scholar 

  11. Cho V, A comparison of three different approaches to tourist arrival forecasting, Tourism Management, 2003, 24(3): 323–330.

    Google Scholar 

  12. Kon S C and Turner L W, Neural network forecasting of tourism demand, Tourism Economics, 2005, 11(3): 301–328.

    Article  Google Scholar 

  13. Alekseev K P G and Seixas J M, A multivariate neural forecasting modeling for air transport — Preprocessed by decomposition: A Brazilian application, Journal of Air Transport Management, 2009, 15(5): 212–216.

    Article  Google Scholar 

  14. Tay F E and Cao L, Application of support vector machines in financial time series forecasting, Omega, 2001, 29(4): 309–317.

    Article  Google Scholar 

  15. Pai P F and Hong W C, Forecasting regional electricity load based on recurrent support vector machines with genetic algorithms, Electric Power Systems Research, 2005, 74(3): 417–425.

    Article  Google Scholar 

  16. Chen K Y and Wang C H, Support vector regression with genetic algorithms in forecasting tourism demand, Tourism Management, 2007, 28(1): 215–226.

    Article  MathSciNet  Google Scholar 

  17. Xie G, Wang S Y, and Lai K K, Short–term forecasting of air passenger by using hybrid seasonal decomposition and least squares support vector regression approaches, Journal of Air Transport Management, 2014, 37: 20–26.

    Article  Google Scholar 

  18. Armstrong J S, Principles of Forecasting: A Handbook for Researchers and Practitioners, Springer Science and Business Media, New York, 2001.

    Book  Google Scholar 

  19. Oh C O and Morzuch B J, Evaluating time-series models to forecast the demand for tourism in Singapore: Comparing within-sample and post-sample results, Journal of Travel Research, 2005, 43(4): 404–413.

    Article  Google Scholar 

  20. Karlaftis M G, Demand forecasting in regional airports: Dynamic Tobit models with GARCH errors, Sitraer, 2008, 7: 100–111.

    Google Scholar 

  21. Yu L A, Wang S Y, and Lai K K, Forecasting China’s foreign trade volume with a kernel-based hybrid econometric-AI ensemble learning approach, Journal of Systems Science and Complexity, 2008, 21(1): 1–19.

    Article  MathSciNet  MATH  Google Scholar 

  22. Xiao Y, Xiao J, Liu J, et al., A multiscale modeling approach incorporating ARIMA and anns for financial market volatility forecasting, Journal of Systems Science and Complexity, 2014, 27(1): 225–236.

    Google Scholar 

  23. Xiao Y, Liu J J, Hu Y, et al., A neuro-fuzzy combination model based on singular spectrum analysis for air transport demand forecasting, Journal of Air Transport Management, 2014, 39: 1–11.

    Article  Google Scholar 

  24. Huang A Q, Lai K K, Li Y H, et al., Forecasting container throughput of Qingdao port with a hybrid model, Journal of Systems Science and Complexity, 2015, 28(1): 105–121.

    Article  MATH  Google Scholar 

  25. Weatherford L R and Kimes S E, A comparison of forecasting methods for hotel revenue management, International Journal of Forecasting, 2003, 19(3): 401–415.

    Article  Google Scholar 

  26. Orkin E B, Wishful thinking and rocket science: The essential matter of calculating unconstrained demand for revenue management, The Cornell Hotel and Restaurant Administration Quarterly, 1998, 39(4): 15–19.

    Google Scholar 

  27. Wickham R R, Evaluation of forecasting techniques for short-term demand of air transportation, Department of Aeronautics and Astronautics, Flight Transportation Laboratory, Massachusetts Institute of Technology, Cambridge, 1995.

    Google Scholar 

  28. Weatherford L R and Pölt S, Better unconstraining of airline demand data in revenuemanagement systems for improved forecast accuracy and greater revenues, Journal of Revenue and Pricing Management, 2002, 1(3): 234–254.

    Article  Google Scholar 

  29. Battese G E and Coelli T J, A model for technical inefficiency effects in a stochastic frontier production function for panel data, Empirical Economics, 1995, 20(2): 325–332.

    Article  Google Scholar 

  30. Jacobs R, Alternative methods to examine hospital efficiency: Data envelopment analysis and stochastic frontier analysis, Health Care Management Science, 2001, 4(2): 103–115.

    Article  Google Scholar 

  31. Cullinane K, Wang T F, Song D W, et al., The technical efficiency of container ports: Comparing data envelopment analysis and stochastic frontier analysis, Transportation Research Part A: Policy and Practice, 2006, 40(4): 354–374.

    Google Scholar 

  32. Longford N T, Editorial: Model selection and efficiency is ‘Which model· · · ?’ the right question? Journal of the Royal Statistical Society A, 2005, 168: 469–472.

    Article  MathSciNet  Google Scholar 

  33. Leung G and Barron A R, Infromation theory and mixing least squares regressions, IEEE Transactions on Information Theory, 2006, 52: 3396–3410.

    Article  MathSciNet  MATH  Google Scholar 

  34. Hoeting J A, Madigan D, Raftery A E, et al., Bayesian model averaging: A tutorial, Statistical Science, 1999, 14: 382–417.

    Article  MathSciNet  MATH  Google Scholar 

  35. Buckland S T, Burnham K P, and Augustin N H, Model selection: An integral part of inference, Biometrics, 1997, 53: 603–618.

    Article  MATH  Google Scholar 

  36. Hansen B E, Least squares model averaging, Econometrica, 2007, 75: 1175–1189.

    Article  MathSciNet  MATH  Google Scholar 

  37. Zhang X and Liang H, Focused information criterion and model averaging for generalized additive partial linear models, Annals of Statistics, 2011, 39: 174–200.

    Article  MathSciNet  MATH  Google Scholar 

  38. Hansen B E and Racine J S, Jackknife model averaging, Journal of Econometrics, 2012, 167(1): 38–46.

    Article  MathSciNet  MATH  Google Scholar 

  39. Ba-Fail A O, Abed S Y, Jasimuddin S M, et al., The determinants of domestic air travel demand in the Kingdom of Saudi Arabia, Journal of Air Transportation World Wide, 2000, 5(2): 72–86.

    Google Scholar 

  40. Carson R T, Cenesizoglu T, and Parker R, Forecasting (aggregate) demand for US commercial air travel, International Journal of Forecasting, 2011, 27(3): 923–941.

    Article  Google Scholar 

  41. Teyssier N, How the consumer confidence index could increase air travel demand forecast accuracy? PhD’s degree thesis, Cranfield University, Bedfordshire, 2012.

    Google Scholar 

  42. Grubb H and Mason A, Long lead-time forecasting of UK air passengers by Holt-Winters methods with damped trend, International Journal of Forecasting, 2001, 17(1): 71–82.

    Article  Google Scholar 

  43. Bermúdez J D, Segura J V, and Vercher E, Holt-Winters forecasting: An alternative formulation applied to UK air passenger data, Journal of Applied Statistics, 2007, 34(9): 1075–1090.

    Article  MathSciNet  Google Scholar 

  44. Wang S J, Sui D, and Hu B, Forecasting technology of national–wide civil aviation traffic, Journal of Transportation Systems Engineering and Information Technology, 2010, 10(6): 95–102.

    Article  Google Scholar 

  45. Aigner D, Lovell C K, and Schmidt P, Formulation and estimation of stochastic frontier production function models, Journal of Econometrics, 1977, 6(1): 21–37.

    Article  MathSciNet  MATH  Google Scholar 

  46. MeeusenWand Van den Broeck J, Efficiency estimation from Cobb-Douglas production functions with composed error, International Economic Review, 1977, 18(2): 435–444.

    Article  MATH  Google Scholar 

  47. Jorge–Calderón J D, A demand model for scheduled airline services on international European routes, Journal of Air Transport Management, 1997, 3(1): 23–35.

    Article  Google Scholar 

  48. Castelli L, Pesenti R, and Ukovich W, An airline-based multilevel analysis of airfare elasticity for passenger demand, Proceeding of the 7th Air Transport Research Society World Conference, France, 2003.

    Google Scholar 

  49. Demirsoy C, Analysis of stimulated domestic air transport demand in Turkey, Master’s degree thesis, Erasmus University, Rotterdam, 2012.

    Google Scholar 

  50. Lim C, Review of international tourism demand models, Annals of Tourism Rresearch, 1997, 24(4): 835–849.

    Article  Google Scholar 

  51. Marazzo M, Scherre R, and Fernandes E, Air transport demand and economic growth in Brazil: A time series analysis, Transportation Research Part E: Logistics and Transportation Review, 2010, 46(2): 261–269.

    Article  Google Scholar 

  52. Fernandes E and Pacheco R R, The causal relationship between GDP and domestic air passenger traffic in Brazil, Transportation Planning and Technology, 2010, 33(7): 569–581.

    Article  Google Scholar 

  53. Dargay J and Hanly M, The determinants of the demand for international air travel to and from the UK, Proceeding of the 9th World Conference on Transport Research, Edinburgh, Scotland, 2001.

    Google Scholar 

  54. Abed S Y, Ba-Fail A O, and Jasimuddin S M, An econometric analysis of international air travel demand in Saudi Arabia, Journal of Air Transport Management, 2001, 7(3): 143–148.

    Article  Google Scholar 

  55. Zhang X, Wan A T K, and Zou G, Model averaging by jackknife criterion in models with dependent data, Journal of Econometrics, 2012, 174(2): 82–94.

    Article  MathSciNet  MATH  Google Scholar 

  56. Zhang X, Zou G, and Liang H, Model averaging and weight choice in linear mixed effects models, Biometrika, 2014, 101(1): 205–218.

    Article  MathSciNet  MATH  Google Scholar 

  57. Ando T and Li K C, A model-averaging approach for high-dimensional regression, Journal of the American Statistical Association, 2014, 109(505): 254–265.

    Article  MathSciNet  MATH  Google Scholar 

  58. White H, Maximum likelihood estimation of misspecified models, Econometrica: Journal of the Econometric Society, 1982, 50(1): 1–25.

    Article  MathSciNet  MATH  Google Scholar 

  59. Zhang X, Model averaging and its applications, Ph. D. dissertation, Chinese Academy of Sciences.

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This research was supported by the National Natural Science Foundation of China under Grant Nos. 71522004, 11471324 and 71631008 and a Grant from the Ministry of Education of China under Grant No. 17YJC910011.

This paper was recommended for publication by Editor HUANG Haijun.

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Zhang, X., Zheng, Y. & Wang, S. A Demand Forecasting Method Based on Stochastic Frontier Analysis and Model Average: An Application in Air Travel Demand Forecasting. J Syst Sci Complex 32, 615–633 (2019). https://doi.org/10.1007/s11424-018-7093-0

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  • DOI: https://doi.org/10.1007/s11424-018-7093-0

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