The UK’s economic growth has witnessed instability over these years. While some sectors recorded positive performances, some recorded negative performances, and these unstable economic performances led to technical recession for the third and fourth quarters of the year 2023. This study assessed the efficacy of the Generalised Additive Model for Location, Scale and Shape (GAMLSS) as a flexible distributional regression with smoothing additive terms in forecasting the UK economic growth in-sample and out-of-sample over the conventional Autoregressive Distributed Lag (ARDL) and Error Correction Model (ECM). The aim was to investigate the effectiveness and efficiency of GAMLSS models using a machine learning framework over the conventional time series econometric models by a rolling window. It is quantitative research which adopts a dataset obtained from the Office for National Statistics, covering 105 monthly observations of major economic indicators in the UK from January 2015 to September 2023. It consists of eleven variables, which include economic growth (Econ), consumer price index (CPI), inflation (Infl), manufacturing (Manuf), electricity and gas (ElGas), construction (Const), industries (Ind), wholesale and retail (WRet), real estate (REst), education (Edu) and health (Health). All computations and graphics in this study are obtained using R software version 4.4.1. The study revealed that GAMLSS models demonstrate superior outperformance in forecast accuracy over the ARDL and ECM models. Unlike other models used in the literature, the GAMLSS models were able to forecast both the future economic growth and the future distribution of the growth, thereby contributing to the empirical literature. The study identified manufacturing, electricity and gas, construction, industries, wholesale and retail, real estate, education, and health as key drivers of UK economic growth.
References
[1]
Rigby, R.A. and Stasinopoulos, D.M. (2005) Generalized Additive Models for Location, Scale and Shape. Journal of the Royal Statistical Society Series C: Applied Statistics, 54, 507-554. https://doi.org/10.1111/j.1467-9876.2005.00510.x
[2]
Alghamdi, F.M., Atchadé, M.N., Dossou-Yovo, M., Ligan, E., Yusuf, M., Mustafa, M.S., et al. (2024) Utilizing Various Statistical Methods to Model the Impact of the COVID-19 Pandemic on Gross Domestic Product. Alexandria Engineering Journal, 97, 204-214. https://doi.org/10.1016/j.aej.2024.04.013
[3]
Zakhidov, G. (2024) Economic Indicators: Tools for Analyzing Market Trends and Predicting Future Performance. International Multidisciplinary Journal of Universal Scientific Prospectives, 2, 23-29.
[4]
Guerard, J., Thomakos, D. and Kyriazi, F. (2020) Automatic Time Series Modeling and Forecasting: A Replication Case Study of Forecasting Real GDP, the Unemployment Rate and the Impact of Leading Economic Indicators. Cogent Economics & Finance, 8, Article ID: 1759483. https://doi.org/10.1080/23322039.2020.1759483
[5]
Goulet Coulombe, P., Leroux, M., Stevanovic, D. and Surprenant, S. (2022) How Is Machine Learning Useful for Macroeconomic Forecasting? Journal of Applied Econometrics, 37, 920-964. https://doi.org/10.1002/jae.2910
[6]
Oloruntoba, A.E., Adekunle, A. and Abiodun, A. (2023) Forecasting Australia Gross Domestic Product (GDP) under Structural Change (SC) Using Break for Time Series Components (BFTSC). Asian Journal of Probability and Statistics, 25, 77-87. https://doi.org/10.9734/ajpas/2023/v25i4573
[7]
Abueid, R. (2020) Impact of Macroeconomic Variables on the Economic Growth in the Middle East Countries. Journal of Applied Economic Sciences (JAES), 15, 594-604. https://doi.org/10.57017/jaes.v15.3(69).08
[8]
Mukhtarov, S., Aliyev, S. and Zeynalov, J. (2020) The Effects of Oil Prices on Macroeconomic Variables: Evidence from Azerbaijan. International Journal of Energy Economics and Policy, 10, 72-80. https://doi.org/10.32479/ijeep.8446
[9]
Sharma, S., Bansal, M. and Saxena, A.K. (2022) Forecasting of GDP (Gross Domestic Product) Per Capita Using (ARIMA) Data-Driven Intelligent Time Series Predicting Approach. 2022 International Conference on Sustainable Islamic Business and Finance (SIBF), Sakhir, 11-12 October 2022, 85-90. https://doi.org/10.1109/sibf56821.2022.9939928
[10]
Zheng, D. (2022). Research on Application of Time Series Modeling in the Forecast of Shanghai’s GDP—Based on the Comparison of Exponential Smoothing Model and ARIMA Model. Frontiers in Economics and Management, 3, 241-255.
[11]
Kolkova, A. (2020) The Application of Forecasting Sales of Services to Increase Business Competitiveness. Journal of Competitiveness, 12, 90-105. https://doi.org/10.7441/joc.2020.02.06
[12]
Gülşen, M.A. and Çiçek, U. (2023) Estimating the Effect of Fiscal and Monetary Policies on Economic Growth in OECD Countries: 1996-2021 Period. Turkuaz Uluslararası Sosyo-Ekonomik Stratejik Araştırmalar Dergisi, 5, 81-94.
[13]
Elhakim, L.E. and Ali, H. (2023) The Influence of Fiscal Policy, Monetary Policy and International Trade on Economic Growth in Indonesia (Literature Reviews). Dinasti International Journal of Economics, Finance & Accounting, 4, 425-433. https://doi.org/10.38035/dijefa.v4i3.1923
[14]
Twinoburyo, E.N. and Odhiambo, N.M. (2018) Monetary Policy and Economic Growth: A Review of International Literature. Journal of Central Banking Theory and Practice, 7, 123-137. https://doi.org/10.2478/jcbtp-2018-0015
[15]
Fetai, B. (2013) The Effectiveness of Fiscal and Monetary Policy during the Financial Crisis. Journal of Economics and Business, 16, 3-66.
[16]
Tenreyro, S. and Thwaites, G. (2016) Pushing on a String: US Monetary Policy Is Less Powerful in Recessions. American Economic Journal: Macroeconomics, 8, 43-74. https://doi.org/10.1257/mac.20150016
[17]
Camba-Mendez, G., Kapetanios, G., Smith, R.J. and Weale, M.R. (2001) An Automatic Leading Indicator of Economic Activity: Forecasting GDP Growth for European Countries. The Econometrics Journal, 4, S56-S90. https://doi.org/10.1111/1368-423x.00053
[18]
Ferrara, L., Marsilli, C. and Ortega, J. (2014) Forecasting Growth during the Great Recession: Is Financial Volatility the Missing Ingredient? Economic Modelling, 36, 44-50. https://doi.org/10.1016/j.econmod.2013.08.042
[19]
Barsoum, F. and Stankiewicz, S. (2015) Forecasting GDP Growth Using Mixed-Frequency Models with Switching Regimes. International Journal of Forecasting, 31, 33-50. https://doi.org/10.1016/j.ijforecast.2014.04.002
[20]
Zhan, C., Tse, C.K., Gao, Y. and Hao, T. (2021) Comparative Study of COVID-19 Pandemic Progressions in 175 Regions in Australia, Canada, Italy, Japan, Spain, U.K. and USA Using a Novel Model That Considers Testing Capacity and Deficiency in Confirming Infected Cases. IEEE Journal of Biomedical and Health Informatics, 25, 2836-2847. https://doi.org/10.1109/jbhi.2021.3089577
[21]
Elsayed, A. and Abdelrhim, M. (2021) The Impact of Brexit on the United Kingdom Stock Market Sectors in under of the COVID-19 Crisis. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.3825230
[22]
Office for National Statistics (2024) Gross Domestic Product (GDP). https://www.ons.gov.uk/economy/grossdomesticproductgdp
[23]
KPMG (2022) UK Economic Outlook. https://assets.kpmg.com/content/dam/kpmg/uk/pdf/2022/12/uk-eo-december-2022.pdf
[24]
Gupta, R., Hasan, M.M., Islam, S.Z., Yasmin, T. and Uddin, J. (2023) Evaluating the Brexit and Covid-19’s Influence on the UK Economy: A Data Analysis. PLOS ONE, 18, e0287342. https://doi.org/10.1371/journal.pone.0287342
[25]
KPMG (2024) UK Economic Outlook. https://kpmg.com/uk/en/home/insights/2018/09/uk-economic-outlook.html#:~:text=The%20UK%20economy%20is%20gradually,a%20re%2Dacceleration%20of%20growth
[26]
Anesti, N., Kalamara, E. and Kapetanios, G. (2021) Forecasting UK GDP Growth with Large Survey Panels. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.3855557
[27]
Stasinopoulos, D.M. and Rigby, R.A. (2007) Generalized Additive Models for Location Scale and Shape (GAMLSS) in R. Journal of Statistical Software, 23, 1-46. https://doi.org/10.18637/jss.v023.i07
[28]
Alaminos, D., Salas, M.B. and Fernández-Gámez, M.A. (2021) Quantum Computing and Deep Learning Methods for GDP Growth Forecasting. Computational Economics, 59, 803-829. https://doi.org/10.1007/s10614-021-10110-z
[29]
Varian, H.R. (2014) Big Data: New Tricks for Econometrics. Journal of Economic Perspectives, 28, 3-28. https://doi.org/10.1257/jep.28.2.3
[30]
Shorten, C., Khoshgoftaar, T.M. and Furht, B. (2021) Deep Learning Applications for COVID-19. Journal of Big Data, 8, Article No. 18. https://doi.org/10.1186/s40537-020-00392-9
[31]
Matsuo, Y., LeCun, Y., Sahani, M., Precup, D., Silver, D., Sugiyama, M., et al. (2022) Deep Learning, Reinforcement Learning, and World Models. Neural Networks, 152, 267-275. https://doi.org/10.1016/j.neunet.2022.03.037
[32]
Celard, P., Iglesias, E.L., Sorribes-Fdez, J.M., Romero, R., Vieira, A.S. and Borrajo, L. (2022) A Survey on Deep Learning Applied to Medical Images: From Simple Artificial Neural Networks to Generative Models. Neural Computing and Applications, 35, 2291-2323. https://doi.org/10.1007/s00521-022-07953-4
[33]
Wazirali, R., Yaghoubi, E., Abujazar, M.S.S., Ahmad, R. and Vakili, A.H. (2023) State-of-the-Art Review on Energy and Load Forecasting in Microgrids Using Artificial Neural Networks, Machine Learning, and Deep Learning Techniques. Electric Power Systems Research, 225, Article ID: 109792. https://doi.org/10.1016/j.epsr.2023.109792
[34]
Yue, T., Wang, Y., Zhang, L., Gu, C., Xue, H., Wang, W., et al. (2023) Deep Learning for Genomics: From Early Neural Nets to Modern Large Language Models. International Journal of Molecular Sciences, 24, Article 15858. https://doi.org/10.3390/ijms242115858
[35]
Claveria, O., Monte, E. and Torra, S. (2017) Evolutionary Computation for Macroeconomic Forecasting. Computational Economics, 53, 833-849. https://doi.org/10.1007/s10614-017-9767-4
[36]
Serinaldi, F. (2011) Distributional Modeling and Short-Term Forecasting of Electricity Prices by Generalized Additive Models for Location, Scale and Shape. Energy Economics, 33, 1216-1226. https://doi.org/10.1016/j.eneco.2011.05.001
[37]
Abramova, E. and Bunn, D. (2020) Forecasting the Intra-Day Spread Densities of Electricity Prices. Energies, 13, Article 687. https://doi.org/10.3390/en13030687
[38]
Klein, N., Smith, M.S. and Nott, D.J. (2023) Deep Distributional Time Series Models and the Probabilistic Forecasting of Intraday Electricity Prices. Journal of Applied Econometrics, 38, 493-511. https://doi.org/10.1002/jae.2959
[39]
Gilchrist, R., Stasinopoulos, D., Rigby, R., Sedgwick, J. and Voudouris, V. (2011) Forecasting Film Revenues Using GAMLSS. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.1782783
[40]
Rigby, R.A. and Stasinopoulos, D.M. (2013) Automatic Smoothing Parameter Selection in GAMLSS with an Application to Centile Estimation. Statistical Methods in Medical Research, 23, 318-332. https://doi.org/10.1177/0962280212473302
[41]
Dantas, L.G., Santos, C.A.C.D., Olinda, R.A.D., Brito, J.I.B.D., Santos, C.A.G., Martins, E.S.P.R., et al. (2020) Rainfall Prediction in the State of Paraíba, Northeastern Brazil Using Generalized Additive Models. Water, 12, Article 2478. https://doi.org/10.3390/w12092478
[42]
Pesaran, M.H. (2015) Time Series and Panel Data Econometrics. Oxford University Press. https://doi.org/10.1093/acprof:oso/9780198736912.001.0001
[43]
Pesaran, M.H., Shin, Y. and Smith, R.J. (2001) Bounds Testing Approaches to the Analysis of Level Relationships. Journal of Applied Econometrics, 16, 289-326. https://doi.org/10.1002/jae.616
[44]
Granger, C.W.J. (1969) Investigating Causal Relations by Econometric Models and Cross-Spectral Methods. Econometrica, 37, 424-438. https://doi.org/10.2307/1912791
[45]
Shrestha, M.B. and Bhatta, G.R. (2018) Selecting Appropriate Methodological Framework for Time Series Data Analysis. The Journal of Finance and Data Science, 4, 71-89. https://doi.org/10.1016/j.jfds.2017.11.001
[46]
Stasinopoulos, M.D., Rigby, R.A. and Bastiani, F.D. (2018) GAMLSS: A Distributional Regression Approach. Statistical Modelling, 18, 248-273. https://doi.org/10.1177/1471082x18759144