Predictability of extreme events in a nonlinear stochastic-dynamical model

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 85, Issue 3, 2012, Pages

  Franzke, Christian ^a  

^a BRITISH ANTARCTIC SURVEY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL MODEL; EXTREME EVENTS; EXTREME VALUE; GENERALIZED PARETO DISTRIBUTIONS; HIGHER-DIMENSIONAL; KEY FEATURE; MODE REDUCTION; REDUCED ORDER MODELS; SCIENCE AND ENGINEERING; SHAPE PARAMETERS; STATISTICAL PREDICTION; TIME SCALE SEPARATION; TOY MODELS;

DYNAMICAL SYSTEMS; STOCHASTIC SYSTEMS;

STOCHASTIC MODELS;

EID: 84859023507     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.85.031134     Document Type: Article

References (29)

1. K. E. Trenberth, P. D. Jones, P. Ambenje, R. Bojariu, D. Easterling, A. Klein Tank, D. Parker, F. Rahimzadeh, J. A. Renwick, M. Rusticucci, B. Soden, and P. Zhai, in Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change, edited by, S. Solomon, D. Qin, M. Manning, Z. Chen, M. Marquis, K.B. Averyt, M. Tignor, and, H. L. Miller, (Cambridge University Press, Cambridge, 2007).
2. Press release by Munich Re; available at: [www.munichre.com/en/media- relations/press-releases/2011/2011-07-12-press-release.aspx].
3. P. J. Mailier, D. B. Stephenson, C. A. T. Ferro, and K. I. Hodges, Month. Weather Rev. 0027-0644 10.1175/MWR3160.1 134, 2224 (2006). (Pubitemid 44275534)
4. A. Bunde, J. F. Eichner, J. W. Kantelhardt, and S. Havlin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.048701 94, 048701 (2005). (Pubitemid 40607263)
5. A. C. M. Freitas and J. M. Freitas, Stat. Prob. Lett. 0167-7152 10.1016/j.spl.2007.11.002 78, 1088 (2008).
6. C. Nicolis, V. Balakrishnan, and G. Nicolis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.210602 97, 210602 (2006). (Pubitemid 44791128)
7. C. Nicolis and G. Nicolis, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.80.061119 80, 061119 (2009).
8. C. Nicolis and S. C. Nicolis, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/80/40003 80, 40003 (2007).
9. T. Schweigler and J. Davidsen, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.016202 84, 016202 (2011).
10. R. Vitolo, M. P. Holland, and C. A. T. Ferro, Chaos CHAOEH 1054-1500 10.1063/1.3270389 19, 043127 (2009).
11. S. Hallerberg, E. G. Altmann, D. Holstein, and H. Kantz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.016706 75, 016706 (2007). (Pubitemid 46130690)
12. S. Hallerberg, J. Bröcker, and H. Kantz, Prediction of Extreme Events. Nonlinear Time Series Analysis in the Geosciences, Lecture Notes in Earth Sciences (Springer, New York, 2008).
13. S. Hallerberg and H. Kantz, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.011108 77, 011108 (2008). (Pubitemid 351388529)
14. R. Buizza, P. L. Houtekamer, Z. Toth, G. Pellerin, M. Wei, and Y. Zhu, Month. Weather Rev. MWREAB 0027-0644 10.1175/MWR2905.1 133, 1076 (2005). (Pubitemid 40829941)
15. A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.96.26.14687 96, 14687 (1999). (Pubitemid 30019700)
16. A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.1014 54, 891 (2001).
17. A. J. Majda, R. Abramov, and M. Grote, Information Theory and Stochastics for Multiscale Nonlinear Systems. CRM Monograph Series (American Mathematical Society, Providence, RI, 2005).
18. A. J. Majda, C. Franzke, and D. Crommelin, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.0900173106 106, 3649 (2009).
19. A. J. Majda, I. Timofeyev, and E. Vanden-Eijnden, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(02)00578-X 170, 206 (2002).
20. C. Franzke, A. J. Majda, and E. Vanden-Eijnden, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/JAS3438.1 62, 1722 (2005). (Pubitemid 41135963)
21. C. Franzke and A. J. Majda, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/JAS3633.1 63, 457 (2006).
22. A. J. Majda, C. Franzke, and B. Khouider, Phil. Trans. Roy. Soc. A PTRMAD 1364-503X 10.1098/rsta.2008.0012 366, 2429 (2008).
23. C. Franzke, A. J. Majda, and G. Branstator, J. Atmos. Sci. JAHSAK 0022-4928 10.1175/2006JAS2221.1 64, 3987 (2007). (Pubitemid 350285868)
24. P. D. Sardeshmukh and P. Sura, J. Climate JLCLEL 0894-8755 10.1175/2008JCLI2358.1 22, 1193 (2009).
25. S. Coles, An Introduction to Statistical Modelling of Extreme Values (Springer, London, 2001).
26. S. Ghosh and S. Resnick, Stoch. Process. Appl. STOPB7 0304-4149 10.1016/j.spa.2010.04.002 120, 1492 (2010).
27. C. Franzke, Int. J. Climatol. (in press, 2012).
28. K. Hamidieh, S. Stoev, and G. Michailidis, J. Comput. Graph. Stat. 1061-8600 10.1198/jcgs.2009.08065 18, 731 (2009).
29. T. Fawcett, Technical Report HPL-2003-4, Palo Alto, CA: HP Laboratories.