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A Comparison of Forecasting Performance of PPML and OLS estimators: The Gravity Model in the Air Cargo Market

Author

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  • Gizem Kaya

    (Istanbul Technical University, Management Faculty, Management Engineering Department, Istanbul, Turkiye)

  • Umut Aydın

    (Bandırma Onyedi Eylül University, Ömer Seyfettin Faculty of Applied Sciences, Department of International Trade and Logistics, Balıkesir, Turkiye)

  • Burç Ülengin

    (Istanbul Technical University, Management Faculty, Management Engineering Department, Istanbul, Turkiye)

Abstract

Using international air cargo data from Turkey, this study compares the forecast performance of three different approaches in the air transport literature for the basic gravity model parameter estimation. The first approach uses ordinary least squares to estimate the gravity model, which is frequently utilized in air transport literature. The second approach, like the first, employs the log-linear estimate technique, but unlike the first, it adds a small amount to the observations with a zero-valued dependent variable and includes them in the analysis. The third method is to estimate the gravity model using the Poisson pseudo maximum-likelihood estimator, which is an alternative to the ordinary least square estimator. The forecast performance of the models developed after estimating the equation with three different approaches was compared with error metrics and the Diebold-Mariano test. As a result of the study, the Poisson pseudo-maximum-likelihood estimator was observed to be the estimator with by far the best forecast performance for the total amount of cargo carried. However, the forecast performance of models differs for some cities.

Suggested Citation

  • Gizem Kaya & Umut Aydın & Burç Ülengin, 2023. "A Comparison of Forecasting Performance of PPML and OLS estimators: The Gravity Model in the Air Cargo Market," EKOIST Journal of Econometrics and Statistics, Istanbul University, Faculty of Economics, vol. 0(39), pages 112-128, December.
    • Handle: RePEc:ist:ekoist:v:0:y:2023:i:39:p:112-128
    DOI: 10.26650/ekoist.2023.39.1310639
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    as
    1. Alexander, D.W. & Merkert, R., 2021. "Applications of gravity models to evaluate and forecast US international air freight markets post-GFC," Transport Policy, Elsevier, vol. 104(C), pages 52-62.
    2. Sun, Shaolong & Lu, Hongxu & Tsui, Kwok-Leung & Wang, Shouyang, 2019. "Nonlinear vector auto-regression neural network for forecasting air passenger flow," Journal of Air Transport Management, Elsevier, vol. 78(C), pages 54-62.
    3. Hwang, Cherng-Chwan & Shiao, Guo-Chou, 2011. "Analyzing air cargo flows of international routes: an empirical study of Taiwan Taoyuan International Airport," Journal of Transport Geography, Elsevier, vol. 19(4), pages 738-744.
    4. Matsumoto, Hidenobu, 2007. "International air network structures and air traffic density of world cities," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(3), pages 269-282, May.
    5. Maddala, G S, 1983. "Methods of Estimation for Models of Markets with Bounded Price Variation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 24(2), pages 361-378, June.
    6. Alexander, David W. & Merkert, Rico, 2017. "Challenges to domestic air freight in Australia: Evaluating air traffic markets with gravity modelling," Journal of Air Transport Management, Elsevier, vol. 61(C), pages 41-52.
    7. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    8. van Bergeijk,Peter A. G. & Brakman,Steven (ed.), 2010. "The Gravity Model in International Trade," Cambridge Books, Cambridge University Press, number 9780521196154.
    9. Hakim, Md Mahbubul & Merkert, Rico, 2016. "The causal relationship between air transport and economic growth: Empirical evidence from South Asia," Journal of Transport Geography, Elsevier, vol. 56(C), pages 120-127.
    10. Chanda, Anup & Maddala, G. S., 1983. "Methods of estimation for models of markets with bounded price variation under rational expectations," Economics Letters, Elsevier, vol. 13(2-3), pages 181-184.
    11. Anca D. Cristea & Russell Hillberry & Aaditya Mattoo, 2015. "Open Skies over the Middle East," The World Economy, Wiley Blackwell, vol. 38(11), pages 1650-1681, November.
    12. Matsumoto, Hidenobu & Domae, Koji, 2018. "The effects of new international airports and air-freight integrator's hubs on the mobility of cities in urban hierarchies: A case study in East and Southeast Asia," Journal of Air Transport Management, Elsevier, vol. 71(C), pages 160-166.
    13. Estrella Gómez-Herrera, 2013. "Comparing alternative methods to estimate gravity models of bilateral trade," Empirical Economics, Springer, vol. 44(3), pages 1087-1111, June.
    14. Aydın, Umut & Ülengin, Burç, 2022. "Analyzing air cargo flows of Turkish domestic routes: A comparative analysis of gravity models," Journal of Air Transport Management, Elsevier, vol. 102(C).
    15. Fildes, Robert & Wei, Yingqi & Ismail, Suzilah, 2011. "Evaluating the forecasting performance of econometric models of air passenger traffic flows using multiple error measures," International Journal of Forecasting, Elsevier, vol. 27(3), pages 902-922.
    16. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    17. Elton Fernandes & Ricardo Rodrigues Pacheco, 2010. "The causal relationship between GDP and domestic air passenger traffic in Brazil," Transportation Planning and Technology, Taylor & Francis Journals, vol. 33(7), pages 569-581, July.
    18. Matsumoto, Hidenobu & Domae, Koji, 2019. "Assessment of competitive hub status of cities in Europe and Asia from an international air traffic perspective," Journal of Air Transport Management, Elsevier, vol. 78(C), pages 88-95.
    19. Gillen, David & Hazledine, Tim, 2015. "The economics and geography of regional airline services in six countries," Journal of Transport Geography, Elsevier, vol. 46(C), pages 129-136.
    20. Zhang, Yahua & Findlay, Christopher, 2014. "Air transport policy and its impacts on passenger traffic and tourist flows," Journal of Air Transport Management, Elsevier, vol. 34(C), pages 42-48.
    21. Matsumoto, Hidenobu, 2004. "International urban systems and air passenger and cargo flows: some calculations," Journal of Air Transport Management, Elsevier, vol. 10(4), pages 239-247.
    22. Walter Isard & Merton J. Peck, 1954. "Location Theory and International and Interregional Trade Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 68(1), pages 97-114.
    23. Grosche, Tobias & Rothlauf, Franz & Heinzl, Armin, 2007. "Gravity models for airline passenger volume estimation," Journal of Air Transport Management, Elsevier, vol. 13(4), pages 175-183.
    24. Ferbar Tratar, Liljana & Strmčnik, Ervin, 2016. "The comparison of Holt–Winters method and Multiple regression method: A case study," Energy, Elsevier, vol. 109(C), pages 266-276.
    25. Geloso Grosso, Massimo & Shepherd, Ben, 2011. "Air cargo transport in APEC: Regulation and effects on merchandise trade," Journal of Asian Economics, Elsevier, vol. 22(3), pages 203-212, June.
    26. Alekseev, K.P.G. & Seixas, J.M., 2009. "A multivariate neural forecasting modeling for air transport – Preprocessed by decomposition: A Brazilian application," Journal of Air Transport Management, Elsevier, vol. 15(5), pages 212-216.
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