Forecasting of water temperature in the Kola section based on the analysis of secular variability of hydrometeorological and astrogeophysical factors
https://doi.org/10.36038/2307-3497-2026-203-85-105
EDN: HODGWC
Abstract
The aim of the paper is to characterize the long-term variability of Atlantic water temperature in the Barents Sea in 1900–2023 and to assess the possibility of its forecasting using hydrometeorological and astrogeophysical factors.
The material for the study was water temperature in the Kola section, climate indices (global surface temperature index for the Northern Hemisphere, indices of the North Atlantic, North Pacific and Atlantic Multidecadal oscillations) and astrogeophysical parameters (solar activity, total solar irradiance, pole coordinates and rotation axis nutation of the Earth) for 1900–2023.
Methods of descriptive statistics as well as comparative, correlation, regression and harmonic analyses were applied.
Results: The year-to-year changes in Atlantic water temperature in the Barents Sea in 1900–2023 were characterized, with an intensive increase (0.37 °C per 10 years) occurring since the late 1970s. Two cold (1900–1929, 1963–1988) and two warm (1930–1962, 1989–2023) periods were distinguished, with the modern warming being stronger. Multiple linear regression equations were constructed to forecast Barents Sea water temperature for 2 and 6 years ahead. The most adequate regression model was selected for practical use. It includes the winter North Atlantic Oscillation index (contribution of 11%), the Atlantic Multidecadal Oscillation index (28%), solar activity (5%), and the X-coordinate of the Earth’s pole (11%). Experimental forecasts of water temperature in the Kola section have been compiled for 2024–2029, according to which it will remain at a high level in the coming years.
Practical significance: The obtained results are useful for a better understanding of the causes of interannual variability of water temperature in the Barents Sea and can be used for its long-term forecasting.
About the Author
A. G. TrofimovRussian Federation
6, Academician Knipovich St., Murmansk, 183038
References
1. Averkiev A. S., Gustoev D. V., Karpova I. P., Seryakov E. I. 2005. Investigations and forecasting of long-term temperature variations in the Kola section // 100 years of oceanographic observations along the Kola section in the Barents Sea: Papers of the intern. symp. Murmansk: PINRO Publish. P. 15–31. (In Russ.).
2. Boitsov V. D. 2007. Cosmogeophysic factors and year-to-year variations in the Barents Sea temperature // Fisheries Journal. № 1. P. 57–60. (In Russ.).
3. Boitsov V. D., Guzenko V. V. 2021. Comparative analysis of interannual variability of water temperature on the surface of the southwestern part of the Barents Sea and on the Kola Section // Trudy VNIRO. V. 186. № 4. P. 119–131. DOI: 10.36038/2307‑3497‑2021‑186‑119‑131. (In Russ.).
4. Boitsov V. D., Karsakov A. L., Averkiev A. S., Gustoev D. V., Karpova I. P. 2010. Study of hydrophysical characteristic variability based on observations from the Kola section // Proc. of the Russian State Hydrometeorological University. № 15. P. 135–149. (In Russ.).
5. Borodich S. A. 2000. Introductory course in econometrics. Minsk: BSU. 354 pp. (In Russ.).
6. Bochkov Yu.A. 1978. Allowance for 11‑year variations of solar activity in forecasting of the Barents Sea water temperature // Trudy PINRO. № 40. P. 33–43. (In Russ.).
7. Bochkov Yu.A. 1979. Ultra-long-term forecasts of water temperature in the Kola section // Methodological recommendations on forecasting water temperature in the Northern Fisheries Basin. Murmansk: PINRO Publish. P. 125–164. (In Russ.).
8. Bochkov Yu.A. 1982. Water temperature in the 0–200 m layer in the Kola section in the Barents Sea, 1900–1981 // Trudy PINRO. № 46. P. 113–122. (In Russ.).
9. Bochkov Yu.A . 2005. Large-scale variations in water temperature in the Kola section and their forecasting // 100 years of oceanographic observations along the Kola section in the Barents Sea: Papers of the intern. symp. Murmansk: PINRO Publish. P. 47–64. (In Russ.).
10. Bochkov Yu.A., Sarukhanyan E. I., Smirnov N. P. 1968. Major regularities of long-term variations in water temperature of the Barents Sea and their link with geophysical processes // Trudy PINRO. № 23. P. 104–115. (In Russ.).
11. Vorobyev V. N., Sarukhanyan E. I., Smirnov N. P. 2006. The Moon nodal (declination) tide and its possible effect on the atmospheric circulation // Proc. of the Russian State Hydrometeorological University. № 2. P. 7–19. (In Russ.).
12. Viazigina N. A., Timokhov L. A., Egorova E. S., Yulin A. V. 2021. Informativeness (information-bearing) of hydrometeorological and astrogeophysical factors in the problem of describing interannual fluctuations of the Greenland Sea ice coverage // Ice and Snow. V. 61. № 3. P. 431–444. doi:10.31857/S2076673421030099. (In Russ.).
13. Herman J. R., Goldberg R. A. 1981. Sun, weather, and climate. Leningrad: Gidrometeoizdat. 319 pp. (In Russ.).
14. Gershanovich D. E., Muromtsev A. M. 1983. Oceanological bases of biological productivity of the World Ocean. Leningrad: Gydrometeoizdat. 320 pp. (In Russ.).
15. Gudkovich Z. M., Karklin V. P., Smolyanitsky V. M., Frolov I. E. 2009. On the character and causes of the Earth’s climate changes // Arctic and Antarctic Research. № 81. P. 15–23. (In Russ.).
16. Eliseeva I. I., Yuzbashev M. M. 2004. General theory of statistics. Moscow: Finansy i Statistika. 656 pp. (In Russ.).
17. Izhevsky G. K. 1961. Oceanological bases of forming commercial productivity of the seas. Moscow: Pishchepromizdat. 215 pp. (In Russ.).
18. Karpova I. P., Sustavov Yu.V., Nikolaev D. L. 1989. The use of time series extrapolation technique in methods of super long-term forecast // Methods of calculation and forecast of hydrometeorological processes in the fishing areas. Leningrad: LSMI. № 112. P. 22–35. (In Russ.).
19. Karsakov A. L., Trofimov A. G., Antsiferov M.Yu., Ivshin V. A., Gubanishchev M. A. 2022. 120 years of oceanographic observations along the Kola Section. Murmansk: PINRO Publish. 145 pp. (In Russ.).
20. Kislyakov A. G. 1968. On relationship between temperatures of Norwegian and North Cape currenrts // Trudy PINRO. № 23. P. 143–156. (In Russ.).
21. Korosov A. V., Gorbach V. V. 2007. Computer processing of biological data. Petrozavodsk: PetrGU Press. 76 pp. (In Russ.).
22. Lis N. A., Cherniavskaia E. A., Mironov E. U., Timokhov L. A., Egorova E. S. 2023. Informativeness (information-bearing) of factors forming interannual variability of the Barents Sea and its individual areas ice coveren // Russian Arctic. V. 5. № 2. P. 17–32. DOI: 10.24412/2658‑4255‑2023‑2‑17‑32. (In Russ.).
23. Maximov I. V., Smirnov N. P. 1967. Genetic method for predicting the long-term variations of climatic properties in the ocean // Trudy PINRO. № 20. P. 323–335. (In Russ.).
24. Malinin V. N. 2008. Statistical methods for analyzing hydrometeorological information. Saint Petersburg: RSGMU. 408 pp. (In Russ.).
25. Malinin V. N. 2020. Statistical methods for analyzing hydrometeorological information. Volume 2. Analysis of temporal series and random fields. Saint Petersburg: RSGMU. 196 pp. (In Russ.).
26. Methodical recommendations on forecasting of water temperature in the Northern Fisheries Basin. 1979. Murmansk: PINRO Publish. 173 pp. (In Russ.).
27. Methodical recommendations on statistical forecasting of oceanographic characteristics. 1989. Murmansk: PINRO Publish. 90 pp. (In Russ.).
28. Methodical recommendations on the use of a super long forecasting method of hydrometeorological parameters (SLFMHP) and a software package «Prizma». 1997. Murmansk: PINRO Publish. 40 pp. (In Russ.).
29. Ozhigin V. K., Ivshin V. A., Trofimov A. G., Karsakov A. L., Antsiferov M. Yu. 2016. The Barents Sea waters: structure, circulation, variability. Murmansk: PINRO Publish. 260 pp. (In Russ.).
30. Ozhigin V. K., Tretyak V. L., Yaragina N. A., Ivshin V. A. 1999. The Barents Sea oceanographic conditions and their impact on the survival and development of juvenile Northeast Arctic cod. Murmansk: PINRO Publish. 88 pp. (In Russ.).
31. Protasov Yu.M, Yurov V. M. 2016. The harmonic analysis of periodic fluctuations in sales volumes of the company by means of «Regression» MS Excel tool // Bulletin of the Moscow Region State University. Series: Economics. № 2. P. 115–121. DOI: 10.18384/2310‑6646‑2016‑2‑115‑121. (In Russ.).
32. Smirnov N. P., Sarukhanyan E. I., Bochkov Yu.A. 1967. Long-term variations in hydrographic regime of the Barents and Norwegian seas and possibilities of their forecasting // Materials of fisheries investigations in the Northern Basin. № 8. P. 111–121. (In Russ.).
33. Sustavov Yu.V. 1978. Physical and statistical model of water temperature variability in the Barents Sea and a method of calculation and prediction of its components // Trudy GOIN. № 147. P. 34–44. (In Russ.).
34. Timokhov L. A., Vyazigina N. A., Mironov E. U., Yulin A. V. 2019. Climatic changes of seasonal and inter-annual variability of the ice cover of the Greenland and Barents Seas // Arctic and Antarctic Research. V. 65. № 2. P. 148–168. DOI: 10.30758/0555‑2648‑2019‑65‑2‑148‑168. (In Russ.).
35. Trofimov A. G., Gubanishchev M. A., Antsiferov M.Yu, Prokopchuk I. P., Manushin I. E., Strelkova N. A., Brykina A. S., Vyaznikova V. S., Novikov M. A., Gorbacheva E. A. 2025. Hydrochemical, hydrobiological and ecotoxicological studies in the Kola Section. Murmansk: PINRO Publish. 204 pp. (In Russ.).
36. Trofimov A. G., Karsakov A. L., Ivshin V. A. 2018. Climate changes in the Barents Sea over the last half century // Trudy VNIRO. V. 173. P. 79–91. DOI: 10.36038/2307‑3497‑2018‑173‑79‑91. (In Russ.).
37. Shevchenko A. V. 2000. Oceanological conditions for forming commercial productivity in the seas of the North European basin. Murmansk: PINRO Publish. 100 pp. (In Russ.).
38. Boitsov V. D., Karsakov A. L., Trofimov A. G. 2012. Atlantic water temperature and climate in the Barents Sea, 2000–2009 // ICES Journal of Marine Science. V. 69. № 5. P. 833–840. DOI: 10.1093/icesjms/fss075.
39. Dalpadado P., Arrigo K. R., Hjøllo S. S., Rey F., Ingvaldsen R. B., Sperfeld E., van Dijken G. L., Stige L. C., Olsen A., Ottersen G. 2014. Productivity in the Barents Sea — response to recent climate variability // PLoS ONE. V. 9. № 5. Art. e95273. DOI: 10.1371/journal.pone.0095273.
40. González-Pola C., Larsen K. M.H., Fratantoni P., Beszczynska-Möller A. (Eds.). 2020. ICES Report on Ocean Climate 2019 // ICES Cooperative Research Report. № 350. 136 pp. DOI: 10.17895/ices.pub.7537.
41. Ingvaldsen R., Loeng H., Ottersen G., Ådlandsvik B. 2003. Climate variability in the Barents Sea during the 20th century with a focus on the 1990s // ICES Marine Science Symposia. V. 219. P. 160–168.
42. Ingvaldsen R. B., Asplin L., Loeng H. 2004. The seasonal cycle in the Atlantic transport to the Barents Sea during the years 1997–2001 // Continental Shelf Research. V. 24. № 9. P. 1015–1032. DOI: 10.1016/j.csr.2004.02.011.
43. Jakobsen T., Ozhigin V. K. (Eds.). 2011. The Barents Sea: ecosystem, resources, management. Half a century of Russian-Norwegian cooperation. Trondheim: Tapir Academic Press. 825 pp.
44. Loeng H., Blindheim J., Ådlandsvik B., Ottersen G. 1992. Climatic variability in the Norwegian and Barents Seas // ICES Marine Science Symposium. V. 195. P. 52–61.
45. Loeng H., Drinkwater K. 2007. An overview of the ecosystems of the Barents and Norwegian Seas and their response to climate variability // Deep-Sea Research II. V. 54. № 23–26. P. 2478–2500. DOI: 10.1016/j.dsr2.2007.08.013.
46. Maslowski W., Marble D., Walczowski W., Schauer U., Clement J. L., Semtner A. J. 2004. On climatological mass, heat, and salt transports through the Barents Sea and Fram Strait from a pan-Arctic coupled ice-ocean model simulation // Journal of Geophysical Research. V. 109. Art. C03032. DOI: 10.1029/2001JC001039.
47. Ottersen G., Ådlandsvik B., Loeng H. 2000. Predicting the temperature of the Barents Sea // Fisheries Oceanography. V. 9. Iss. 2. P. 121–135. DOI: 10.1046/j.1365‑2419.2000.00127.x.
48. Ottersen G., Ådlandsvik B., Loeng H. 2005. The Kola section — an indicator of Barents Sea climate // 100 years of oceanographic observations along the Kola section in the Barents Sea. Papers of the intern.l symp. Murmansk: PINRO Press. P. 236–251.
Review
For citations:
Trofimov A.G. Forecasting of water temperature in the Kola section based on the analysis of secular variability of hydrometeorological and astrogeophysical factors. Trudy VNIRO. 2026;203:85-105. (In Russ.) https://doi.org/10.36038/2307-3497-2026-203-85-105. EDN: HODGWC


























