The Dynamics of Trade Relations between Ukraine and Romania: Modelling and Forecasting

Authors

DOI:

https://doi.org/10.34021/ve.2022.05.02(1)

Keywords:

export, import, trade balance, ARIMA*ARIMAS, Holt-Winters models, forecasting

Abstract

The article examines the monthly dynamics of exports, imports and balance of trade between Ukraine and Romania in the period from 2005 to 2021. Time series from 2015 to 2021 were used for modelling and forecasting (since the date the European Union–Ukraine Association Agreement took effect). Adequate models of the dynamics series of the Box-Jenkins methodology were built: additive models with seasonal component ARIMA (Autoregressive Integrated Moving Average) ARIMAS (or SARIMA) and Holt-Winters exponential smoothing with a dampened trend. Forecasting of exports, imports and trade balance for the fourth quarter of 2021 and first quarter of 2022 were completed. The forecast results showed a small relative error compared to the actual data. Thus, when forecasting the trade balance between countries using the Holt-Winters model, the relative prediction errors were: for October 2021 – 1.3%; for November 2021 – 2.6%; for December 2021 – 0.4%.

Downloads

Download data is not yet available.

References

Ahmed, R. R., Vveinhardt, J., Ahmad, N., & Štreimikienė, D. (2017). Karachi Inter-Bank Offered Rate (KIBOR) Forecasting: Box-Jenkins (ARIMA) Testing Approach. E & M: Ekonomie a Management, XX(2), 188–198. http://dx.doi.org/10.15240/tul/001/2017-2-014

Ahmed, R. R., Štreimikienė, D., Ghauri, S. P., & Aqil, M. (2021). Forecasting Inflation by Using the Sub-Groups of Both CPI and WPI: Evidence from Auto Regression (AR) and ARIMA Models. Romanian Journal of Economic Forecasting, XXIV(2), 144-161.

Alderite, A. A., & Capili, A. F. (2020). Comparison of ARIMA and Singular Spectrum analysis in forecasting the Philippine Inflation Rate. Advances and Applications in Statistics, 65 (1), 19-31. https://doi.org/10.17654/as065010019

Bogachov, S., Kwilinski, A., Miethlich, B., Bartosova, V., & Gurnak, A. (2020). Artificial Intelligence Components and Fuzzy Regulators in Entrepreneurship Development. Entrepreneurship and Sustainability Issues, 8(2), 487-499. https://doi.org/10.9770/jesi.2020.8.2(29)

Borodin, A., Tvaronavičienė, M., Vygodchikova, I., Kulikov, A., Skuratova, M., & Shchegolevatykh, N. (2021). Improving the Development Technology of an Oil and Gas Company Using the Minimax Optimality Criterion. Energies, 14(11), 3177. https://doi.org/10.3390/en14113177

Box, G. E. P., & Jenkins, G. M. (1976). Time Series Analysis: Forecasting and Control. San Francisco: Holden-Day.

Dadyan, E. G. (2020). Application of Neural Network Technologies for Inflation Forecasting. International Journal of Mathematical Models and Methods in Applied Sciences, 14, 34-37. https://doi.org/10.46300/9101.2020.14.9

Dritsaki, M., & Dritsaki, C. (2021). Comparison of the Holt-Winters Exponential Smoothing Method with ARIMA Models: Forecasting of GDP per Capita in Five Balkan Countries Members of European Union (EU) Post COVID. Modern Economy, 12(12), 1972-1998.

Drożdż, W., & Mróz-Malik, O. (2017). Morska energetyka wiatrowa jako istotny potencjał rozwoju polskiej gospodarki morskiej. Problemy Transportu i Logistyki, 37(1), 151-159

Drożdż, W., Szczerba, P., & Kruszyński, D. (2020a). Issues related to the development of electromobility from the point of view of Polish utilities. Polityka Energetyczna – Energy Policy Journal, 23(1), 49-64. https://doi.org/10.33223/epj/119074

Drozdz, W., Marszalek-Kawa, J., Miskiewicz, R., & Szczepanska-Waszczyna, K. (2020b). Digital Economy in the Contemporary World. Torun: Wydawnictwo Adam Marszalek.

Drożdż, W., Kinelski, G., Czarnecka, M., Wójcik-Jurkiewicz, M., Maroušková, A., & Zych, G. (2021). Determinants of Decarbonization – How to Realize Sustainable and Low Carbon Cities? Energies, 14, 2640. https://doi.org/10.3390/en14092640

Dzitsaki, C. (2016). Forecast of SARIMA models: An application to unemployment rates of Greece. American Journal of Applied Mathematics and Statistics, 4, 5, 136-148.

Dzitsakis, N., & Klareglon, P. (2018). Forecasting Unemployment Rates in USA Using Box-Jenkins Methodology. International Journal of Economics and Financial Issues, 8, 1, 9-20.

Dzwigol, H. (2020). Methodological and Empirical Platform of Triangulation in Strategic Management. Academy of Strategic Management Journal, 19(4), 1-8.

Dźwigoł, H. (2021a). The Uncertainty Factor in the Market Economic System: The Microeconomic Aspect of Sustainable Development. Virtual Economics, 4(1), 98-117. https://doi.org/10.34021/ve.2021.04.01(5)

Dzwigol, H. (2021b). Meta-Analysis in Management and Quality Sciences. Marketing and Management of Innovations, 1, 324-335. http://doi.org/10.21272/mmi.2021.1-25

Dźwigol, H., Dźwigoł-Barosz, M., Zhyvko, Z., Miśkiewicz, R., & Pushak, H. (2019). Evaluation of the energy security as a component of national security of the country. Journal of Security and Sustainability Issues, 8(3), 307-317.

Dzwigol, H., Dzwigol-Barosz, M., Miskiewicz, R., & Kwilinski, A. (2020). Manager Competency Assessment Model in the Conditions of Industry 4.0. Entrepreneurship and Sustainability Issues, 7(4), 2630-2644. https://doi.org/10.9770/jesi.2020.7.4(5)

Dvorakova, L. (2017). CZ GDP Prediction via neural networks and Box-Jenkins Method. SHS Web of Conferences, 39, 01005.

Eissa, N. (2020). Forecasting the GDP per Capita for Egypt and Saudi Arabia Using ARIMA Models. Research in World Economy, 11(1), 247-258. https://doi.org/10.5430/rwe.v11n1p247

Ghazo, A. (2021). Applying the ARIMA Model to the Process of Forecasting GDP and CPI in the Jordanian Economy. International Journal of Financial Research, 12(3), 70-77. https://doi.org/10.5430/ijfr.v12n3p70

Hezam, I.M., Mishra, A.R., Rani, P., Saha, A., Smarandache, F., & Pamucar, D. (2023). An integrated decision support framework using single-valued neutrosophic-MASWIP-COPRAS for sustainability assessment of bioenergy production technologies. Expert Systems with Applications, 211, 118674. https://doi.org/10.1016/j.eswa.2022.118674

Holt, C. C. (2004). Forecasting seasonals and trends by exponentially weighted moving average. International journal of forecasting, 20(1), 5-10.

Hussain, H.I., Haseeb, M., Kamarudin, F., Dacko-Pikiewicz, Z., & Szczepańska-Woszczyna, K. (2021). The role of globalization, economic growth and natural resources on the ecological footprint in Thailand: Evidence from nonlinear causal estimations. Processes, 9(7), 1103. https://doi.org/10.3390/pr9071103

Ingber, L. (2017). Quantum path-integral qPATHINT algorithm. Open Cybernetics and Systemics Journal, 11, 119-133.

Kayikci, S. (2020). Autoregressive Integrated Moving Average Model for Polar Seas Ice Prediction. International Journal of Mathematical Models and Methods in Applied Sciences, 14, 110–113

Kharazishvili, Y., Kwilinski, A., Grishnova, O., & Dzwigol, H. (2020). Social safety of society for developing countries to meet sustainable development standards: Indicators, level, strategic benchmarks (with calculations based on the case study of Ukraine). Sustainability, 12(21), 8953. https://doi.org/10.3390/su12218953

Kharazishvili, Y., Kwilinski, A., Dzwigol, H., & Liashenko, V. (2021a). Strategic European Integration Scenarios of Ukrainian and Polish Research, Education and Innovation Spaces. Virtual Economics, 4(2), 7-40. https://doi.org/10.34021/ve.2021.04.02(1)

Kharazishvili, Y., Kwilinski, A., Sukhodolia, O., Dzwigol, H., Bobro, D., & Kotowicz, J. (2021b). The systemic approach for estimating and strategizing energy security: The case of Ukraine. Energies, 14(8), 2126. https://doi.org/10.3390/en14082126

Khashei, M., Bijari, M., & Ardali, G. A. R. (2012). Hybridisation of autoregressive moving average (ARIMA) with probabilistic neural networks (PNNs). Computers & Industrial Engineering, 63, 37-45.

Kianpour, M., Kowalski, S.J., & Øverby, H. (2021). Systematically Understanding Cybersecurity Economics: A Survey. Sustainability, 13(24), 13677. https://doi.org/10.3390/su132413677

Kotowicz, J., Węcel, D., Kwilinski, A., & Brzęczek, M. (2022). Efficiency of the power-to-gas-to-liquid-to-power system based on green methanol. Applied Energy, 314, 118933. https://doi.org/10.1016/j.apenergy.2022.118933

Kozak, Y., Matskul, V., & Shengelia, T. (2017). Mathematical methods and models for master of economics. Practical applications. Tbilisi, Universal.

Kuzior, A., Kwilinski, A., & Hroznyi, I. (2021a). The Factorial-Reflexive Approach to Diagnosing the Executors’ and Contractors’ Attitude to Achieving the Objectives by Energy Supplying Companies. Energies, 14(9), 2572. https://doi.org/10.3390/en14092572

Kuzior, A., Lyulyov, O., Pimonenko, T., Kwilinski, A., & Krawczyk, D. (2021b). Post-Industrial Tourism as a Driver of Sustainable Development. Sustainability, 13(15), 8145. https://doi.org/10.3390/su13158145

Kwilinski, A., Ruzhytskyi, I., Patlachuk, V., Patlachuk, O., & Kaminska, B. (2019a). Environmental Taxes as a Condition of Business Responsibility in the Conditions of Sustainable Development. Journal of Legal, Ethical and Regulatory Issues, 22(Special Issue 2), 1-6.

Kwilinski, A., Tkachenko, V., & Kuzior, A. (2019b). Transparent Cognitive Technologies to Ensure Sustainable Society Development. Journal of Security and Sustainability Issues, 9(2), 561-570.

Kwilinski, A., Volynets, R., Berdnik, I., Holovko, M., & Berzin, P. (2019c). E Commerce: Concept and legal regulation in modern economic conditions. Journal of Legal, Ethical and Regulatory Issues, 22(2), 1-6.

Kwilinski, A., Dzwigol, H., & Dementyev, V. (2020a). Model of entrepreneurship financial activity of the transnational company based on intellectual technology. International Journal of Entrepreneurship, 24, 1-5.

Kwilinski, A., Dielini, M., Mazuryk, O., Filippov, V., & Kitseliuk, V. (2020b). System Constructs for the Investment Security of a Country. Journal of Security and Sustainability Issues, 10(1), 345-358.

Kwilinski, A., Zaloznova, Y., Trushkina, N., & Rynkevych, N. (2020c). Organizational and Methodological Support for Ukrainian Coal Enterprises Marketing Activity Improvement. E3S Web of Conferences, 168, 00031. https://doi.org/10.1051/e3sconf/202016800031

Kwilinski, A., Slatvitskaya, I., Dugar, T., Khodakivska, L., Derevyanko, B. (2020d). Main Effects of Mergers and Acquisitions in International Enterprise Activities. International Journal of Entrepreneurship, 24, 1–8.

Kwilinski, A., Litvin, V., Kamchatova, E., Polusmiak, J., & Mironova, D. (2021). Information Support of the Entrepreneurship Model Complex with the Application of Cloud Technologies. International Journal of Entrepreneurship, 25(1), 1-8.

Kwilinski, A., Lyulyov, O., Pimonenko, T., Dzwigol, H., Abazov, R., & Pudryk, D. (2022a). International Migration Drivers: Economic, Environmental, Social, and Political Effects. Sustainability, 14(11), 6413. https://doi.org/10.3390/su14116413

Kwilinski, A., Dalevska, N., & Dementyev, V.V. (2022b). Metatheoretical Issues of the Evolution of the International Political Economy. Journal of Risk and Financial Management, 15(3), 124. https://doi.org/10.3390/jrfm15030124

Kwilinski, A., Lyulyov, O., Dzwigol, H., Vakulenko, I., & Pimonenko, T. (2022c). Integrative Smart Grids’ Assessment System. Energies, 15(2), 545. https://doi.org/10.3390/en15020545

Lyulyov, O., Pimonenko, T., Kwilinski, A., & Us, Y. (2021a). The Heterogeneous Effect of Democracy, Economic and Political Globalisation on Renewable Energy. E3S Web of Conferences 2021, 250, 03006. https://doi.org/10.1051/e3sconf/202125003006

Lyulyov, O., Vakulenko, I., Pimonenko, T., Kwilinski, A., Dzwigol, H., & Dzwigol-Barosz, M. (2021b). Comprehensive Assessment of Smart Grids: Is There a Universal Approach? Energies, 14(12), 3497. https://doi.org/10.3390/en14123497

Matskul, V., Okara, D., & Podvalna N. (2020). The Ukraine and EU trade balance: prediction via various models of time series. SHS Web of Conferences, 73, 01020.

Melnychenko, O. (2020). Is Artificial Intelligence Ready to Assess an Enterprise’s Financial Security? Journal of Risk and Financial Management, 13, 191. https://doi.org/10.3390/jrfm13090191

Melnychenko, O. (2021a). Energy Losses Due to Imperfect Payment Infrastructure and Payment Instruments. Energies, 14, 8213. https://doi.org/10.3390/en14248213

Melnychenko, O. (2021b). The Energy of Finance in Refining of Medical Surge Capacity. Energies, 14, 210. https://doi.org/10.3390/en14010210

Miśkiewicz, R. (2018). The importance of knowledge transfer on the energy market. Polityka Energetyczna, 21(2), 49-62. https://doi.org/10.24425/122774

Miśkiewicz, R. (2019). Challenges Facing Management Practice in the Light of Industry 4.0: The Example of Poland. Virtual Economics, 2(2), 37-47. https://doi.org/10.34021/ve.2019.02.02(2)

Miskiewicz, R. (2020). Efficiency of electricity production technology from post-process gas heat: Ecological, economic and social benefits. Energies, 13(22), 6106. https://doi.org/10.3390/en13226106

Miśkiewicz, R. (2021). The Impact of Innovation and Information Technology on Greenhouse Gas Emissions: A Case of the Visegrád Countries. Journal of Risk and Financial Management, 14, 59. https://doi.org/10.3390/jrfm14020059

Miśkiewicz, R., Rzepka, A., Borowiecki, R., & Olesińki, Z. (2021). Energy Efficiency in the Industry 4.0 Era: Attributes of Teal Organisations. Energies, 14(20), 6776. https://doi.org/10.3390/en14206776

Miśkiewicz, R., Matan, K., & Karnowski, J. (2022). The Role of Crypto Trading in the Economy, Renewable Energy Consumption and Ecological Degradation. Energies, 15(10), 3805. https://doi.org/10.3390/en15103805

Mohamed, N., Ahmad, M. H., & Ismail, Z. (2011). Improving short term load forecasting using double seasonal ARIMA model. Applied Sciences, 15, 223-231.

Moskalenko, B., Lyulyov, O., Pimonenko, T., Kwilinski, A., & Dzwigol, H. (2022a). Investment Attractiveness of the Country: Social, Ecological, Economic Dimension. International Journal of Environment and Pollution, 69(1-2), 80-98. https://doi.org/10.1504/IJEP.2021.125192

Moskalenko, B., Lyulyov, O., & Pimonenko, T. (2022b). The Investment Attractiveness of Countries: Coupling Between Core Dimensions. Forum Scientiae Oeconomia, 10(2), 153-172. https://doi.org/10.23762/FSO_VOL10_NO2_8

Osadcha, T., Melnychenko, O. (2021a). Payment transactions’ energy efficiency. European Cooperation, 2(50), 18-39. https://doi.org/10.32070/ec.v2i50.114

Osadcha, T., Melnychenko, O., & Spodin, S. (2021b). Money circulation in conditions of energy fever. European Cooperation, 3(51), 7-33. https://doi.org/10.32070/ec.v3i51.117

Polcyn, J., Us, Y., Lyulyov, O., Pimonenko, T., & Kwilinski, A. (2022). Factors Influencing the Renewable Energy Consumption in Selected European Countries. Energies, 15, 108. https://doi.org/10.3390/en15010108

Prokopenko, O., & Miśkiewicz, R. (2020). Perception of “green shipping” in the contemporary conditions. Entrepreneurship and Sustainability Issues, 8(2), 269-284. https://doi.org/10.9770/jesi.2020.8.2(16)

Saługa, P.W., Szczepańska-Woszczyna, K., Miśkiewicz, R., & Chład, M. (2020). Cost of equity of coal-fired power generation projects in Poland: Its importance for the management of decision-making process. Energies, 13(18), 4833. https://doi.org/10.3390/en13184833

Saługa, P.W., Zamasz, K., Dacko-Pikiewicz, Z., Szczepańska-Woszczyna, K., & Malec, M. (2021). Risk-adjusted discount rate and its components for onshore wind farms at the feasibility stage. Energies, 14(20), 6840. https://doi.org/10.3390/en14206840

Shinkarenko, V., Hostryk, A., Shynkarenko, L., & Dolinskyi L. (2021). A forecasting the consumer price index using time series model. M3E2 2021, SHS Web of Conferences, 107, 10002.

Streimikiene, D., Ahmed, R. R., Ghauri, S. P., Aqil, M., & Streimikis, J. (2020). Forecasting and the causal relationship of sectorial energy consumptions and GDP of Pakistan by using AR, ARIMA, and Toda-Yamamoto Wald models. Romanian Journal of Economic Forecasting, XXIII(2), 131-148.

Szczepańska-Woszczyna, K., & Gatnar, S. (2022). Key Competences of Research and Development Project Managers in High Technology Sector. Forum Scientiae Oeconomia, 10(3), 107-130. https://doi.org/10.23762/FSO_VOL10_NO3_6

SSSU. (2022). The State Statistics Service of Ukraine. Retrieved from http://www.ukrstat.gov.ua (accessed on 10 December 2021)

Tih, S., Wong, K.-K., Lynn, G.S., & Reilly, R.R. (2016). Prototyping, Customer Involvement, and Speed of Information Dissemination in New Product Success. Journal of Business and Industrial Marketing, 31(4), 437-448. https://doi.org/10.1108/JBIM-09-2014-0182

Tkachenko, V., Kwilinski, A., Klymchuk, M., & Tkachenko, I. (2019a). The Economic-Mathematical Development of Buildings Construction Model Optimization on the Basis of Digital Economy. Management Systems in Production Engineering, 27(2), 119-123. https://doi.org/10.1515/mspe-2019-0020

Tkachenko, V., Kwilinski, A., Klymchuk, M., & Tkachenko, I. (2019b). The Economic-Mathematical Development of Buildings Construction Model Optimization on the Basis of Digital Economy. Management Systems in Production Engineering, 27(2), 119-123. https://doi.org/10.1515/mspe-2019-0020

Trzeciak, M., Kopec, T.P., & Kwilinski, A. (2022). Constructs of Project Programme Management Supporting Open Innovation at the Strategic Level of the Organisation. Journal of Open Innovation: Technology, Market, and Complexity, 8(1), 58. https://doi.org/10.3390/joitmc8010058

Vaníčková, R., & Szczepańska-Woszczyna, K. (2020). Innovation of business and marketing plan of growth strategy and competitive advantage in exhibition industry. Polish Journal of Management Studies, 21(2), 425-445. https://doi.org/10.17512/pjms.2020.21.2.30

Wang, Y., Wang, J., Zhao, G., & Dong, Y. (2014). Application of residual modification approach in seasonal ARIMA for electricity demand forecasting a case study of China. Energy Policy, 48, 284-294.

Winters, P. R. (1960). Forecasting sale by exponentially weighted moving averages. Management Science, 6(3), 324-342.

Yang, C., Kwilinski, A., Chygryn, O., Lyulyov, O., & Pimonenko, T. (2021). The green competitiveness of enterprises: Justifying the quality criteria of digital marketing communication channels. Sustainability, 13(24), 13679. https://doi.org/10.3390/su132413679

Downloads

Published

2022-07-30 — Updated on 2022-07-30

How to Cite

Melnychenko, O., Matskul, V., & Osadcha, T. (2022). The Dynamics of Trade Relations between Ukraine and Romania: Modelling and Forecasting. Virtual Economics, 5(2), 7–23. https://doi.org/10.34021/ve.2022.05.02(1)

Issue

Section

Articles