Abstract
The approach originally developed for the investigation of the traffic, that is, the intensities of information flows in financial markets, is applied for the statistical analysis of climatic data. The statistical regularities in the behavior of sensible and latent turbulent heat fluxes recomputed from 6-hourly NCEP-NCAR for the period \(1948-2008\) in Atlantic are analyzed. It is proposed to represent these regularities by probability distributions that are mixtures of several normal (Gaussian) laws with parameters varying in time. The method of moving separation of mixtures is used to obtain the values of the parameters of the mixtures. This approach allows to analyze the regularities in the variation of the parameters and, hence, to capture the low-term variability which can be considered as a trend and high-term dynamics associated with diffusion or irregular variability.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Korolev, V.Y.: Probabilistic and Statistical Methods of Decomposition of Volatility of Chaotic Processes. Moscow University Publishing House, Moscow (2011)
Korolev, V.Y., Chertok, A.V., Korchagin, A.Y., Gorshenin, A.K.: Probability and statistical modeling of information flows in complex financial systems based on high-frequency data. Inf. Appl. 7(1), 12–21 (2013)
Gorshenin, A., Korolev, V.: Modeling of statistical fluctuations of information flows by mixtures of gamma distributions. In: Proceedings of 27th European Conference on Modelling and Simulation, pp. 569–572. Digitaldruck Pirrot GmbHP, Dudweiler, Germany (2013)
Berry, D.I., Kent, E.C.: A new air-sea interaction gridded dataset from ICOADS with uncertainty estimates. Bull. Am. Meteorol. Soc. 90(5), 645–656 (2009)
Yu, L.: Global variations in oceanic evaporation (1958–2005): the role of the changing wind speed. J. Clim. 20, 5376–5390 (2007)
Yu, L., Weller, R.A.: Objectively analyzed air-sea heat fluxes for the global ice-free oceans (1981–2005). Bull. Amer. Meteor. Soc. 88, 527–539 (2007)
Josey, S.A.: A comparison of ECMWF, NCEP-NCAR and SOC surface heat fluxes with moored buoy measurements in the subduction region of the Northeast Atlantic. J. Clim. 14, 1780–1789 (2001)
Bouras, D.: Comparison of five satellite-derived latent heat flux products to moored buoy data. J. Clim. 19, 6291–6313 (2006)
Gulev, S.K., Jung, T., Ruprecht, E.: Estimation of the impact of sampling errors in the VOS observations on air-sea fluxes. Part I. Uncertainties in climate means. J. Clim. 20, 279–301 (2007)
Gulev, S.K., Jung, T., Ruprecht, E.: Estimation of the impact of sampling errors in the VOS observations on air-sea fluxes. Part II. Impact on trends and interannual variability. J. Clim. 20, 302–315 (2007)
Gulev, S.K., Belyaev, K.P.: Probability distribution characteristics for surface air-sea turbulent heat fluxes over the global ocean. J. Clim. 25(1(1)), 184–206 (2012)
Gulev, S.K., Latif, M., Keenlyside, N., Park, W., Koltermann, K.P.: North Atlantic Ocean control on surface heat flux on multidecadal timescales. Nature 499, 464–467 (2013)
Gorshenin, A.K., Korolev, V.Y., Tursunbayev, A.M.: Median modification of EM- and SEM-algorithms for separation of mixtures of probability distributions and their application to the decomposition of volatility of financial time series. Inf. Appl. 2(4), 12–47 (2008)
Gorshenin, A.K.: The information technology to research the fine structure of chaotic processes in plasma by the analysis of the spectra. Syst. Means Inf. 24(1), 116–125 (2014)
Korolev, V.Y.: Generalized hyperbolic laws as limit distributions for random sums. Theor. Probab. Appl. 58(1), 63–75 (2014)
Korolev, V.Yu., Zaks, L.M.: Generalized variance gamma distributions as limit laws for random sums. Inf. Appl. 7(1), 105–115 (2013)
Dempster, A., Laird, N., Rubin, D.: Maximum likelihood estimation from incompleted data. J. Roy. Stat. Soc. Ser. B 39(1), 1–38 (1977)
Acknowledgments
The research is supported by the Russian Foundation for Basic Research (project 15-37-20851) and by the President Grant for Government Support of Young Russian Scientists (project MK-4103.2014.9).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Korolev, V., Gorshenin, A., Gulev, S., Belyaev, K. (2015). Statistical Modeling of Air-Sea Turbulent Heat Fluxes by Finite Mixtures of Gaussian Distributions. In: Dudin, A., Nazarov, A., Yakupov, R. (eds) Information Technologies and Mathematical Modelling - Queueing Theory and Applications. ITMM 2015. Communications in Computer and Information Science, vol 564. Springer, Cham. https://doi.org/10.1007/978-3-319-25861-4_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-25861-4_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-25860-7
Online ISBN: 978-3-319-25861-4
eBook Packages: Computer ScienceComputer Science (R0)