The Impact of Industrial Output and Investment on Electricity Consumption in Sverdlovsk Oblast (Russia): Wavelet Analysis of Time Series Accounting for Seasonal Factors
DOI:
https://doi.org/10.17059/ekon.reg.2025-2-7Keywords:
production volume, investment, electricity consumption, time series seasonality, cointegration, multivariate wavelet analysis, multiple and partial coherence, wavelet gain, partial phase differenceAbstract
This article examines the influence of industrial production and investment on electricity consumption in Sverdlovsk Oblast using multivariate wavelet analysis (MWA) that accounts for seasonal factors. The novelty of the study lies in the application of MWA tools, such as multiple and partial coherence, partial phase difference, and partial wavelet gain coefficient, to identify time-varying causal relationships. The wavelet-based results confirm and extend findings gained through the application of traditional econometric approaches by revealing how these relationships differ across time horizons and frequencies. The multiple coherence analysis shows seasonal cointegration at a frequency corresponding to a four-quarter cycle and the absence of long-term (non-seasonal) cointegration. Partial coherence diagrams suggest that, after controlling for one variable, there is no cointegration between electricity consumption and either industrial output or investment across all frequencies. Partial phase difference analysis reveals the lead-lag structure and phase alignment among the variables, depending on the frequency and time period. Notably, data from 2022–2023, coinciding with the imposition of international sanctions on Russia, offer particularly valuable insights. The study shows that both business cycle theories and related government policies should place greater emphasis on seasonal dynamics. Companies can use the results of wavelet analysis to determine the optimal timing for launching new production capacities.
References
Aguiar-Conraria, L. A., Martins, M. M., & Soares, M. J. (2018). Estimating the Taylor rule in the time-frequency domain.
Aguiar-Conraria, L., Azevedo, N., & Soares, M. J. (2008). Using wavelets to decompose the time–frequency effects of monetary policy. Physica A: Statistical Mechanics and its Applications, 387(12), 2863–2878. https://doi.org/10.1016/j.physa.2008.01.063
Astaf’eva, N. M. (1996). Wavelet analysis: basic theory and some applications. Uspekhi fizicheskikh nauk [Physics-Uspekhi], 166(11), 1145–1170. https://doi.org/10.1070/pu1996v039n11abeh000177 (In Russ.)
Avdakovic, S., Ademovic, A., & Nuhanovic, A. (2013). Correlation between air temperature and electricity demand by linear regression and wavelet coherence approach: UK, Slovakia and Bosnia and Herzegovina case study. Archives of Electrical Engineering, 62(4), 521–532. http://dx.doi.org/10.2478/aee-2013–0042
Bai, J., & Ng, S. (2008). Forecasting economic time series using targeted predictors. Journal of Econometrics, 146(2), 304–317. https://doi.org/10.1016/j.jeconom.2008.08.010
Bessonov, V., & Petronevich, A. (2013). Seasonal adjustment as a source of spurious signals. Ehkonomicheskii zhurnal VSHEH [HSE Economic Journal], 17(4), 586–616. (In Russ.)
Bruzda, J. (2020). The wavelet scaling approach to forecasting: Verification on a large set of noisy data. Journal of Forecasting, 39(3), 353–367. https://doi.org/10.1002/for.2634
Connor, J., & Rossiter, R. (2005). Wavelet transforms and commodity prices, Studies in Nonlinear Dynamics. Econometrics, 9(1). https://doi.org/10.2202/1558–3708.1170
Crowley, P. M. (2007). A guide to wavelets for economists. Journal of Economic Surveys, 21(2), 207–267. https://doi.org/10.1111/j.1467–6419.2006.00502.x
Engle, R. F., Granger, C. W. J., Hylleberg, S., & Lee, H. S. (1993). The Japanese consumption function. Journal of Econometrics, 55(1-2), 275-298. https://doi.org/10.1016/0304–4076(93)90016-X
Foufoula-Georgiou, E., & Kumar, P. (1994). Wavelets in Geophysics in Wavelet Analysis and Its Applications. Academic Press.
Grinsted, A., Moore, J. C., & Jevrejeva, S. (2004). Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlinear Processes in Geophysics, 11(5/6), 561–566. https://doi.org/10.5194/npg-11-561-2004
Hylleberg, S., Engle, R. F., Granger, C. W., & Yoo, B. S. (1990). Seasonal Integration and Cointegration. Journal of Econometrics, 44(1-2), 215–238.
Kirikkaleli, D., & Sowah, J. K. (2020). A wavelet coherence analysis: Nexus between urbanization and environmental sustainability. Environmental Science and Pollution Research, 27(24), 30295–30305. https://doi.org/10.1007/s11356-020-09305-y
Kirikkaleli, D., Adedoyin, F. F., & Bekun, F. V. (2021). Nuclear energy consumption and economic growth in the UK: Evidence from wavelet coherence approach. Journal of Public Affairs, 21(1), e2130. https://doi.org/10.1002/pa.2130
Krüger, J. (2021). A Wavelet Evaluation of Some Leading Business Cycle Indicators for the German Economy. Journal of Business Cycle Research, 17, 293–319. https://doi.org/10.1007/s41549-021-00060-8
Labat, D. (2010). Cross wavelet analyses of annual continental freshwater discharge and selected climate indices. Journal of Hydrology, 385(1-4), 269–278. https://doi.org/10.1016/j.jhydrol.2010.02.029
Magazzino, C., & Giolli, L. (2021). The relationship among railway networks, energy consumption, and real added value in Italy. Evidence form ARDL and Wavelet analysis. Research in Transportation Economics, 90, 101126. http://dx.doi.org/10.1016/j.retrec.2021.101126
Mitsel’, A. A., & Shemiakina, A. N. (2013). Analysis of costs of the enterprise using wavelet-transform. Ekonomiko-matematicheskoe modelirovanie [Economic-Mathematical Modeling], (46(349)), 52–60. (In Russ.)
Petrov, M. B., & Serkov, L. A. (2024). Analysis of Long-Term and Short-Term Relationships between Electricity Consumption and Economic Growth in Industrialized Regions of Russia. Journal of Applied Economic Research, 23(1), 136–158. https://doi.org/10.15826/vestnik.2024.23.1.006 (In Russ.)
Rua, A. (2012). Wavelets in Economics. Economic Bulletin and Financial Stability Report Articles, 8, 71–79.
Rua, A. (2013). Worldwide synchronization since the nineteenth century: A wavelet-based view. Applied Economics Letters, 20(8), 773–776.
Senjyu, T., Tamaki, Y., Takara, H., & Uezato, K. (2002). Next day load curve forecasting using wavelet analysis with neural network. Electric Power Components and Systems, 30(11), 1167–1178. https://doi.org/10.1080/15325000290085398
Serkov, L. A. (2025). Analysis of the Relationship between Inflation, Exchange Rate and Household Expenditures in the Russian Economy Using Wavelet Analysis. Journal of Applied Economic Research, 24(1), 59–90. https://doi.org/10.15826/vestnik.2025.24.1.003 (In Russ.)
Torrence, C., & Compo, G. P. (1998). A practical guide to wavelet analysis. Bulletin of the American Meteorological Society, 79(1), 61–78. https://doi.org/10.1175/1520–0477(1998)079 %3C0061:APGTWA%3E2.0.CO;2
Vityazev V. V. (2001). Wejwlet-analis wremennych rjadow [Wavelet analysis of time series], SPb: SPbGU, 58 P. (In Russ.)
Wu, J., Abban, O. J., Boadi, A. D., Addae, E. A., Akhtar, M., Hongxing, Y., & Ofori, C. (2022). Time–frequency contained co-movement of renewable electricity production, globalization, and СО2 emissions: A wavelet-based analysis in Asia. Energy Reports, 8, 15189–15205. https://doi.org/10.1016/j.egyr.2022.11.054
Zhang, Q., & Liu, T. (2010). Research on mid-long term load forecasting base on wavelet neural network. In 2010 Second International Conference on Computer Engineering and Applications (Vol. 2, pp. 217-220). IEEE. https://doi.org/10.1109/ICCEA.2010.195
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Серков Леонид Александрович , Петров Михаил Борисович

This work is licensed under a Creative Commons Attribution 4.0 International License.

