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Geostatistics and Remote Sensing for Extremes Forecasting and Disaster Risk Multiscale Analysis

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Numerical Methods for Reliability and Safety Assessment

Abstract

The method of analysis of multisource data statistics is proposed for extreme forecasting and meteorological disaster risk analysis. This method is based on nonlinear kernel-based principal component algorithm (KPCA) modified according to specific of data: socioeconomic, disaster statistics, climatic, ecological, infrastructure distribution. Using this method the set of long-term regional statistics of disasters distributions and variations of economic activity has been analyzed. On these examples the method of obtaining of the spatially and temporally normalized and regularized distributions of the parameters investigated has been demonstrated. Method of extreme distribution assessment based on analysis of meteorological measurements should be described. Analysis of regional climatic parameters distribution allows to estimate the probability of extremes (both on seasonal and annual scales) toward mean climatic values change. The way to coherent risk measures assessment based on coupled analysis of multidimensional multivariate distributions should be described. Using the method of assessment of complex risk measures on the base of coupled analysis of multidimensional multivariate distributions of data the regional risk of climatic, meteorological, and hydrological disasters were estimated basing on kernel copula semi-parametric algorithm.

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Notes

  1. 1.

    EU-27: Austria, Belgium, Bulgaria, Cyprus, the Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, and the United Kingdom.

References

  • Arnold BC (1983) Pareto distributions. International Co-operative Publishing House, Fairland, MD, p 216. ISBN 0-89974-012

    MATH  Google Scholar 

  • Bartell SM, Gardner RH, O’Neill RV (1992) Ecological risk estimation. Lewis, Boca Raton, FL

    Google Scholar 

  • Buhlmann H (1970) Mathematical methods in risk theory. Springer, Berlin, p 214

    Google Scholar 

  • Chen SX, Huang T (2010) Nonparametric estimation of Copula functions for dependence modeling. Technical report, Department of Statistics, Iowa State University, Ames, USA. p 20

    Google Scholar 

  • Christianini N, Shawe-Taylor J (2000) An introduction to support vector machines and other Kernel-based learning methods. Cambridge University Рress, Cambridge, p 212

    Book  Google Scholar 

  • Cowpertwait PSP (1995) A generalized spatial–temporal model of rainfall based on a clustered point process. Proc R Soc Lond A 450:163–175

    Article  MATH  Google Scholar 

  • Embrechts P, Lindskog F, McNeil A (2003) Modeling dependence with copulas and applications to risk management. In: Rachev S (ed) Handbook of heavy tailed distributions in finance. Elsevier, Amsterdam, pp 329–384

    Chapter  Google Scholar 

  • Ermoliev Y, Hordijk L (2006) Global changes: facets of robust decisions. In: Marti K, Ermoliev Y, Makowski M, Pflug G (eds) Coping with uncertainty, modeling and policy issues. Springer, Berlin, pp 4–28

    Google Scholar 

  • Ermoliev Y, Winterfeldt D (2012) Systemic risk and security management. In: Ermoliev Y et al (eds) Managing safety of heterogeneous systems, vol 658, Lecture notes in economics and mathematical systems. Springer, Berlin, pp 19–49. doi:10.1007/978-3-642-22884-1

    Google Scholar 

  • Fowler HJ, Kilsby CG, O’Connell PE (2003) Modeling the impacts of climatic change and variability on the reliability, resilience and vulnerability of a water resource system. Water Resour Res 39:1222

    Google Scholar 

  • Genest C, Ghoudi K, Rivest L-P (1998) Discussion of “Understanding relationships using copulas” by Edward Frees and Emiliano Valdez. North Am Actuarial J 2(3):143–149

    Article  MathSciNet  Google Scholar 

  • Goovaerts MJ, Kaas RJ, Tang Q (2003) A unified approach to generate risk measures. ASTIN Bull 33(2):173–191

    Article  MathSciNet  MATH  Google Scholar 

  • Grigorieva E, Matzarakis A (2011) Physiologically equivalent temperature as a factor for tourism in extreme climate regions in the Russian Far East: preliminary results. Eur J Tourism Hospitality Recreation 2:127–142

    Google Scholar 

  • Grois man P, Lyalko V, eds (2012) Earth systems change over eastern Europe. Akademperiodyka, Kiev. 488 p, 17 p. il. ISBN 978-966-360-195-3

    Google Scholar 

  • GSOD (Global Summary of the Day). National Climatic Data Center of U.S. Department of Commerce, Courtesy of NOAA Satellite and Information Service of National Environmental Satellite, Data, and Information Service (NESDIS). www.ncdc.noaa.gov

  • Guha-Sapir D, Vos F, Below R, Ponserre S (2011) Annual disaster statistical review 2010: the numbers and trends. CRED, Brussels, p 50

    Google Scholar 

  • Juri A, Wuthrich MV (2002) Copula convergence theorems for tail events. Insur Math Econ 30:405–420

    Article  MathSciNet  MATH  Google Scholar 

  • Kalnay E, Kanamitsu M, Kistler R, Collins W, Deaven D, Gandin L, Iredell M, Saha S, White G, Woollen J, Zhu Y, Leetmaa A, Reynolds R, Chelliah M, Ebisuzaki W, Higgins W, Janowiak J, Mo KC, Ropelewski C, Wang J, Roy J, Dennis J (1996) The NCEP/NCAR 40-year reanalysis project. Bull Am Meteorol Soc 77:437–470

    Article  Google Scholar 

  • Kostyuchenko YV, Bilous Y (2009) Long-term forecasting of natural disasters under projected climate changes in Ukraine. In: Groisman PY, Ivanov SV (eds) Regional aspects of climate–terrestrial–hydrologic interactions in non-boreal Eastern Europe. Springer in cooperation with NATO Public Diplomacy Division, Dordrecht, pp 95–102

    Chapter  Google Scholar 

  • Kostyuchenko YuV, Bilous Yu, Kopachevsky I, Solovyov D (2013a) Coherent risk measures assessment based on the coupled analysis of multivariate distributions of multisource observation data. In: Proceedings of 11th international probabilistic workshop, Brno, pp 183–192

    Google Scholar 

  • Kostyuchenko YuV, Yuschenko M, Movchan D (2013b) Regional risk analysis based on multisource data statistics of natural disasters. In: Zagorodny AG, Yermoliev YuM (eds) Integrated modeling of food, energy and water security management for sustainable social, economic and environmental developments. NAU, Kyiv. pp 229–238. ISBN 978-966-02-6824-1

    Google Scholar 

  • Lawless JF, Fredette M (2005) Frequentist predictions intervals and predictive distributions. Biometrika 92(3):529–542

    Article  MathSciNet  MATH  Google Scholar 

  • Lee J-M, Yoo CK, Choi SW, Vanrolleghem PA, Lee I-B (2004) Nonlinear process monitoring using kernel principal component analysis. Chem Eng Sci 59:223–234

    Article  Google Scholar 

  • Mika S, Scheolkopf B, Smola AJ, MJuller K-R, Scholz M, Ratsch G (1999) Kernel PCA and de-noising in feature spaces. Adv Neural Inf Process Syst 11:536–542

    Google Scholar 

  • Mudelsee M, Börngen M, Tetzlaff G (2001) On the estimation of trends in the frequency of extreme weather and climate events. In: Raabe A, Arnold K (eds) Wissenschaftliche Mitteilungen, vol 22. Institut für Meteorologie der Universität Leipzig, Institut für Troposphärenforschung e. V. Leipzig, Leipzig, pp 78–88

    Google Scholar 

  • National report “On Technogenic and Natural Security in Ukraine in 2003” (2004) Kiev, 435 p

    Google Scholar 

  • National report “On Technogenic and Natural Security in Ukraine in 2005” (2006) Kiev, 375 p

    Google Scholar 

  • National report “On Technogenic and Natural Security in Ukraine in 2009” (2010) Kiev, 252 p

    Google Scholar 

  • Parry ML, Canziani OF, Palutikof JP, van der Linden PJ, Hanson CE (2007) In: Contribution of working group II to the fourth assessment report of the intergovernmental panel on climate change, IPCC. Cambridge University Press, Cambridge. р 987

    Google Scholar 

  • Pflug G, Roemisch W (2007) Modeling, measuring, and managing risk. World Scientific, Singapore, p 303

    Book  MATH  Google Scholar 

  • Raiffa H, Schlaifer R (1968) Applied statistical decision theory. MIT Press, Massachusetts Institute of Technology, Cambridge, MA, p 356

    MATH  Google Scholar 

  • Romdhani S, Gong S, Psarrou A (1999) A multi-view nonlinear active shape model using kernel PCA. In: Proceedings of BMVC, Nottingham, UK. pp 483–492

    Google Scholar 

  • Scheolkopf B, Smola AJ, Muller K (1998) Nonlinear component analysis as a kernel eigenvalue problem. Neural Comput 10(5):1299–1399

    Article  Google Scholar 

  • Schmidt DF, Makalic E (2009) Universal models for the exponential distribution. IEEE Trans Inf Theory 55(7):3087–3090. doi:10.1109/TIT.2009.2018331

    Article  MathSciNet  Google Scholar 

  • State Budget of USSR in 1981–1985. The statistical book. (1987) URSS Ministry of Finances. Finances and Statistics, Moscow, 215 p

    Google Scholar 

  • State Budget of USSR in 1989. Brief Statistical Book (1989) URSS Ministry of Finances, Central Department of State Budget. Finances and Statistics, Moscow, 161 p

    Google Scholar 

  • State Statistics Service of Ukraine. Demography of Ukraine (2007) http://www.ukrstat.gov.ua/operativ/operativ2007/ds/nas_rik/nas_u/nas_rik_u.html

  • USSR National Economy in 1969. The statistical book (1970) Central Administration of Statistics at Cabinet of Ministries of USSR. Statistics, Moscow, 840 p

    Google Scholar 

  • USSR National Economy in 1980. The statistical book (1981) Central Administration of Statistics at Cabinet of Ministries of USSR. Finances and Statistics, Moscow, 577 p

    Google Scholar 

  • Venter GG (2002) Tails of Copulas. Proc Casualty Actuarial Soc 89:68–113

    Google Scholar 

  • Villez K, Ruiz M, Sin G, Colomer J, Rosen C, Vanrolleghem PA (2008) Combining multiway principal component analysis (MPCA) and clustering for efficient data mining of historical data sets of SBR processes. Water Sci Technol 57(10):1659–1666

    Article  Google Scholar 

  • Warga J (1972) Optimal control of differential and functional equations. Academic, New York, p 531

    MATH  Google Scholar 

  • World Bank (2013) Global Economics Prospects, Volume 6, January 2013: Assuring Growth Over the medium Term, Washington, DC. http://databank.worldbank.org/ddp/home.do?Step=12&id=4&CNO=999

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Correspondence to Yuriy V. Kostyuchenko .

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Kostyuchenko, Y.V. (2015). Geostatistics and Remote Sensing for Extremes Forecasting and Disaster Risk Multiscale Analysis. In: Kadry, S., El Hami, A. (eds) Numerical Methods for Reliability and Safety Assessment. Springer, Cham. https://doi.org/10.1007/978-3-319-07167-1_16

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  • DOI: https://doi.org/10.1007/978-3-319-07167-1_16

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