Decomposition, modeling and forecasting of the time series of discharge of the Desna river using the “bsts” package of the R programming language
Ukrainian Hydrometeorological Institute of the State Emergency Service of Ukraine and the National Academy of Sciences of Ukraine, Kyiv
https://orcid.org/0000-0003-4290-3745
Liudmyla Gorbachova
Ukrainian Hydrometeorological Institute of the State Emergency Service of Ukraine and the National Academy of Sciences of Ukraine, Kyiv
https://orcid.org/0000-0003-1033-9385
Abstract
References
1. Annual data on the regime and resources of land surface waters, 2020. Part 1. Rivers and Channels. Vol. 2. Dnipro Basin (2021). Kyiv: Central Geophysical Observatory named after Boris Sreznevsky. [in Ukrainian]
2. Befany, N.F., & Kalinin, G.P. (1983). Exercises and methodological developments on hydrological forecasts (2nd edition). Leningrad: Hydrometeoizdat. [in Russian]
3. Bounceur, N., Hoteit, I., & Knio, O. (2020). A Bayesian Structural Time Series Approach for Predicting Red Sea Temperatures. Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 13, 1996–2009. http://doi.org/10.1109/jstars.2020.2989218
4. Chakravarti, A., Joshi, N., & Panjiar, H. (2015). Rainfall Runoff Analysis Using Artificial Neural Network. Indian Journal of Science and Technology, 8(14), 1–7. https://doi.org/10.17485/ijst/2015/v8i14/54370
5. Gorbachova, L.A, & Kolyanchuk, O.V. (2011). Catalog of spring floods in the basin of the Desna River. Nauk. pratsi UkrNDGMI, 261, 179–191. [in Ukrainian]
6. Guide to Hydrological Practices (2009). Management of Water Resources and Application of Hydrological Practices. Vol. II. Sixth edition. WMO-No. 168. Geneva: World Meteorological Organization.
7. Hyndman, R.J., & Killick, R. (2026). CRAN Task View: Time Series Analysis. Version 2026-01-31. Available at: https://CRAN.R-project.org/view=TimeSeries
8. Ilich, N., Gharib, A., & Davies, E.G.R. (2018). Kernel distributed residual function in a revised multiple order autoregressive model and its applications in hydrology. Hydrological Sciences Journal, 63(12), 1745–1758. https://doi.org/10.1080/02626667.2018.1541090
9. Katimon, A., Shahid, Sh., & Mohsenipour, M. (2018). Modeling water quality and hydrological variables using ARIMA: a case study of Johor River, Malaysia. Sustainable Water Resources Management, 4(4), 991–998. https://doi.org/10.1007/s40899-017-0202-8
10. Khrystiuk, B., & Gorbachova, L. (2019). Long-term forecasting of extraordinary spring floods by commensurability method on the Dnipro River near Kyiv city, Ukraine. Environmental Research, Engineering and Management, 75 (2), 74–81. https://doi.org/10.5755/j01.erem.75.2.22683
11. Khrystiuk, B., & Gorbachova, L. (2025). Simulation of rain floods of the Stryi River by an artificial neural network. Meteorology. Hydrology. Environmental monitoring, 1(7), 71–78. https://doi.org/10.15407/meteorology2025.07.071 [in Ukrainian]
12. Kochanek, K., & Markiewicz, I. (2022). Statistical Approach to Hydrological Analysis. Water, 14, 1094. https://doi.org/10.3390/w14071094
13. Koshkina, O.V. (2017). Factors, parameters and current tendencies of the maximum runoff of spring flood in the Desna River basin. Dys. ...kand. geogr. nauk: 11.00.07. Kyiv: Taras Shevchenko National University of Kyiv. [in Ukrainian]
14. Lipinskiy, V.M., Dyachuk, V.A., & Babichenko, V.M. (2003). Climate of Ukraine. Kyiv: Raevsky Publishing House. [in Ukrainian]
15. Lukman, M. & Tanan, B. (2021). Time series modeling by using exponential smoothing technique for river flow discharge forecasting (case study: Cabenge, Walanae, and Cenranae rivers system). IOP Conference Series: Materials Science and Engineering, 1088. http://doi.org/10.1088/1757-899X/1088/1/012100
16. Machiwal, D., & Jha, M.K. (2012). Hydrologic Time Series Analysis: Theory and Practice. India, New Delhi: Springer. https://doi.org/10.1007/978-94-007-1861-6
17. Mohammed, A., Bakar, M.A.A., Mansor, M.M., & Ariff, N.M. (2024). Modelling Malaysia Air Quality Data using Bayesian Structural Time Series Models. Sains Malaysiana, 53(11), 3817–3829. http://doi.org/10.17576/jsm-2024-5311-23
18. Nop, C., Fadhil, R.M., & Unami, K. (2021). A multi-state Markov chain model for rainfall to be used in optimal operation of rainwater harvesting systems. Journal of Cleaner Production, 285, 124912. https://doi.org/10.1016/j.jclepro.2020.124912
19. Righetti, N. (2025). Time Series Analysis with R. Available at: https://nicolarighetti.github.io/Time-Series-Analysis-With-R/
20. Rozos, E. (2020). A methodology for simple and fast streamflow modelling. Hydrological Sciences Journal, 65(7), 1084–1095. https://doi.org/10.1080/02626667.2020.1728475
21. Scott, S.L. (2025). Package «bsts». Bayesian Structural Time Series. Available at: https://cran.r-project.org/web/packages/bsts/bsts.pdf
22. Scott, S.L., & Varian, H.R. (2014). Predicting the Present with Bayesian Structural Time Series. International Journal of Mathematical Modelling and Numerical Optimisation, 5(1-2), 4–23. https://doi.org/10.1504/IJMMNO.2014.059942
23. Shang, M., Huang, J., Liu, P., Gao, J., & Li, J. (2025). Coupled exponential smoothing and gray model for water quality prediction in the Guo River, China. Water Science and Technology, 91(8), 960–976. https://doi.org/10.2166/wst.2025.051
24. Sharma, T.C., & Panu, U.S. (2025). Modelling Hydrological Droughts in Canadian Rivers Based on Markov Chains Using the Standardized Hydrological Index as a Platform. Hydrology, 12, 23. https://doi.org/10.3390/hydrology12020023
25. Svetunkov, I. (2023). Forecasting and Analytics with the Augmented Dynamic Adaptive Model (ADAM). New York: Chapman and Hall/CRC. https://doi.org/10.1201/9781003452652
26. Zengin, H., Özcan, M., Değermenci, A.S., & Çitgez, T. (2023). Multiple linear regression models for the estimation of water flows for forestmanagement and planning in Türkiye. Water SA, 49(3), 220–229. https://doi.org/10.17159/wsa/2023.v49.i3.4000

