Skip to main content
Log in

Network analysis methods of heliorelated time series

  • Published:
Geomagnetism and Aeronomy Aims and scope Submit manuscript

Abstract

In this work, we present the diagnostics results of the similarity between different temperature paleoreconstructions using network approaches. The correlation patterns of time series are transformed into the geometry of the corresponding graph, which can be analyzed geometrically. To detect a possible nonlinear connection between climatic series and solar activity, we use networks constructed by embedding time series in the space of an appropriate dimension. Finally, we present Markov networks for climatic reconstructions and annual Wolf numbers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Battista Di, Eades, G., P., Tamassia R., and Tollis I.G. Graph Drawing: Algorithms for the Visualization of Graphs, Prentice Hall, 1999.

  • Briffa, K.R., Annual Variability in the Holocene: Interpreting the Message of Ancient Trees, Quat. Sci. Rev., 2000, vol. 19, pp. 87–105.

    Article  Google Scholar 

  • Christiansen, Bo, Reconstructing the NH Mean Temperature: Can Underestimation of Trends and Variability Be Avoided?, J. Clim., 2010, vol. 24, no. 3, pp. 674–692.

    Article  Google Scholar 

  • Coping with Chaos: Analysis of Chaotic Data and Exploitation of Chaotic Systems, Ott, E., Sauer, T., and Yorke, J.A., Eds. Wiley-Intersci., 1994.

  • Crowley, T.J. and Lowery, T.S., How Warm Was the Medieval Warm Period?, AMBIO, 2000, vol. 29, pp. 51–54.

    Google Scholar 

  • Donner, R., et al., Recurrence-Based Time Series Analysis by Means of Complex Network Methods, Int. J. Bifurc. Chaos, 2011, vol. 21, no. 4, pp. 1019–1046.

    Google Scholar 

  • Esper, J., Cook, E.R., and Schweingruber, F.H., Low-Frequency Signals in Long Tree-Ring Chronologies and the Reconstruction of Past Temperature Variability, Science, 2002, vol. 295, pp. 2250–2253.

    Article  Google Scholar 

  • Froyland, G., Extracting Dynamical Behaviour via Markov Models, Nonlin. Dyn. Statistics, 1998, pp. 283–324.

  • Jones, P.D., Briffa, K.R., Barnett, T.P., and Tett, S.F.B., High-Resolution Palaeoclimatic Records for the Last Millennium: Interpretation, Integration and Comparison with General Circulation Model Control-Run Temperatures, The Holocene, 1998, vol. 8, pp. 455–471.

    Article  Google Scholar 

  • Letellier, C., Aguirre, L.A., Maquet, J., and Gilmore, R., Evidence for Low Dimensional Chaos in the Sunspot Cycles, Astron. Astrophys., 2006, vol. 449, pp. 379–387.

    Article  Google Scholar 

  • Makarenko, N.G. and Karimova, L.M., Syntactic Analysis of Wolf Numbers, in Prostranstvenno-vremennye aspekty Solnechnoi aktivnosti (Spatial-Time Aspects of Solar Activity), St. Petersburg, 1992, pp. 141–151.

  • Makarenko, N.G., Karimova, L.M., Mukhamedzhanova, C.A., and Knyazeva, I.S., System of Iterative Functions and Markovian Prediction of Time Series, Izv.Vyssh. Uchebn. Zaved., PND, 2006, vol. 14, no. 6, pp. 3–20.

    Google Scholar 

  • Mann, M.E., Bradley, R.S., and Hughes, M.K., Northern Hemisphere Temperatures during the Past Millennium: Inferences, Uncertainties and Limitations, Geophys. Res. Lett., 1999, vol. 26, pp. 759–762.

    Article  Google Scholar 

  • Moberg, A., Sonechkin, D.M., Holmgren, K., Datsenko, N.M., and Karlen, W., Highly Variable Northern Hemisphere Temperatures Reconstructed from Low- and High-Resolution Proxy Data, Nature, 2005, vol. 433, no. 7026, pp. 613–617.

    Article  Google Scholar 

  • Monin, A.S. and Sonechkin, D.M., Kolebaniya klimata (Climate Variations), Moscow: Nauka, 2005.

    Google Scholar 

  • Nagovitsyn, Yu.A., Nonlinear Mathematical Model of Solar Activity and the Possibilities of Reconstructing Activity in the Past, Pis’ma Astron. Zh., 1997, vol. 23, no. 11, pp. 851–858.

    Google Scholar 

  • Ogurtsov, M.G. Jugner, H., et al., Quasi-secular Cyclicity in Climate in the Northern Hemisphere and Its Possible Relation to Solar Activity Variations, Soln.-Zemn. Fiz., 2007, no. 10, pp. 10–15.

  • Palus, M., Hartman, D., Hlinka, J., and Vejmelka, M., Discerning Connectivity from Dynamics in Climate Net-works, Nonlin. Proc. Geophys., 2011, vol. 18, pp. 751–763.

    Article  Google Scholar 

  • Rougemont, J. and Hingamp, P., DNA Microarray Data and Contextual Analysis of Correlation Graphs, BMC Bioinformatics 4: 2003.

  • Shirazi, A.H., Reza, G., Jafari, Daqvoudi, J., et al., Mapping Stochastic Processes onto Complex Networks, J. Stat. Mech.: Theor. Exp., 2009, p. 097046.

  • Small, M., Zhang, J., and Xu, X.K., Transforming Time Series into Complex Networks, in Complex Sciences, Zhou, J., Ed., Springer, 2009, vol. 2, pp. 2078–2089.

  • Steinhaeuser, K., Chawla, N.V., and Ganguly, A.R., Complex Networks as a Unified Framework for Descriptive Analysis and Predictive Modeling in Climate Science, Stat. Analysis Data Mining, 2011, vol. 5, no. 4, pp. 497–511.

    Article  Google Scholar 

  • Tsonis, A.A., Swanson, K.L., and Roebber, P.J., What Do Networks Have to Do with Climate, Bull. Am. Meteorol. Soc., 2006, vol. 87, pp. 585–595.

    Article  Google Scholar 

  • Xu, X.-K., Zhang, J., Li, P., and Small, M., Changing Motif Distributions in Complex Networks by Manipulating Rich-Club Connections, Phys. A (Amsterdam), 2011, vol. 390, pp. 4621–4626.

    Article  Google Scholar 

  • Zhang, J. and Small, M., Complex Network from Pseudoperiodic Time Series: Topology versus Dynamics, Phys. Rev. Lett., 2006, vol. 96, no. 238701.

    Article  Google Scholar 

  • Zomorodian, A., Topology for Computing, Cambr. Monogr. Appl. Comput. Math., 2005.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Knyazeva, I.S., Makarenko, N.G. Network analysis methods of heliorelated time series. Geomagn. Aeron. 52, 849–856 (2012). https://doi.org/10.1134/S0016793212070067

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016793212070067

Keywords

Navigation