Probabilistic Analysis of Heat Flux Distribution in the North Atlantic for 1979‒2022
https://doi.org/10.23947/2587-8999-2024-8-2-24-32
Abstract
Introduction. The study of heat interaction processes and the distribution of heat flaxes in the oceans is important for understanding climate change on Earth. The North Atlantic, which is one of the key components of the global climate system, plays a significant role in regulating the climate of our latitudes. One of the key tools for analyzing heat distribution in the oceans is probabilistic analysis. In this work, using mathematical modelling methods, a statistical analysis of observational data on heat fluxes in the North Atlantic is carried out.
Materials and Methods. The used methods include the analysis of random processes specified by the stochastic differential equation (SDE) or the Ito equation, approximation of observational data, and solution of the Fokker-Planck-Kolmogorov (FPK) equation to describe the evolution of the probabilistic distribution of heat in the ocean.
Results. Using mathematical modelling methods, a probabilistic analysis of the distribution of heat fluxes in the North Atlantic for the period from 1979 to 2022 has been carried out. The results of the study made it possible to establish patterns of distribution of heat flux in the studied region over the period of time under consideration.
Discussion and Conclusions. The results may be useful for further study of climate processes in the North Atlantic, as well as for the development of resource management and environmental protection strategies.
Keywords
About the Authors
K. P. BelyaevRussian Federation
Konstantin P. Belyaev, Leading Researcher
36, Nakhimovsky Prospekt, Moscow, 117997
A. A. Kuleshov
Russian Federation
Andrey A. Kuleshov, Chief Researcher
4, Miusskaya Sq., Moscow, 125047
A. V. Novikova
Russian Federation
Anastasia V. Novikova, Student at the Sevastopol Branch
7, Heroes of Sevastopol St., Sevastopol, 299001
N. P. Tuchkova
Russian Federation
Natalia P. Tuchkova, Senior Researcher at the Federal Research
40, Vavilova St., Moscow, 119333
References
1. Gorshenin A., Osipova A., Belyaev K. Stochastic analysis of air-sea heat fluxes variability in the North Atlantic in 1979–2022 based on reanalysis data. Computers & Geosciences. 2023;181(10):105461. https://doi.org/10.1016/j.cageo.2023.105461
2. Cayan D.R. Variability of latent and sensible heat fluxes estimated using bulk formulate. Atmosphere-Ocean. 1992;30(1):1–42. https://doi.org/10.1080/07055900.1992.9649429
3. Parfitt R., Czaja A., Kwon Y.-O. The impact of SST resolution change in the ERA Interim reanalysis on wintertime Gulf Stream frontal air-sea interaction. Geophysical Research Letters. 2017;44(7):3246–3254. https://doi.org/10.1007/s00376-020-0072-0
4. Belyaev K., Gorshenin A., Korolev V., Osipova A. Comparison of Statistical Approaches for Reconstructing Random Coefficients in the Problem of Stochastic Modelling of Air-Sea Heat Flux Increments. Mathematics. 2024;12(2):228. https://doi.org/10.3390/math12022288
5. Simmons A., Hersbach H., Munoz-Sabater J., Nicolas J., Vamborg F., Berrisford P., de Rosnay P.,; Willett K., Woollen J. Low frequency variability and trends in surface air temperature and humidity from ERA5 and other datasets. ECMWF Technical Memoranda. 2021;881. https://doi.org/10.21957/ly5vbtbfd
6. Gikhman I.I., Skorokhod A.V. Introduction to the Theory of Random Processes. Dover Publications, 1996. 516 p. (In Russ.).
7. Samarsky A.A. The Theory of Difference Schemes. CRC Press, 2001. 786 p. (In Russ.). https://doi.org/10.1201/9780203908518
Review
For citations:
Belyaev K.P., Kuleshov A.A., Novikova A.V., Tuchkova N.P. Probabilistic Analysis of Heat Flux Distribution in the North Atlantic for 1979‒2022. Computational Mathematics and Information Technologies. 2024;8(2):24-32. https://doi.org/10.23947/2587-8999-2024-8-2-24-32