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Assessing statistical hurricane risks: nonlinear regression and time-window analysis of North Atlantic annual accumulated cyclonic energy rank profile

Author

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  • Elio Roca-Flores

    (UNAM)

  • Gerardo G. Naumis

    (UNAM)

Abstract

The ranking of events is a powerful tool to evaluate risks of catastrophic events. Here we analyze the rank-statistical profile of the North Atlantic annual accumulated cyclone energy index (ACE), which is an estimation of the cyclonic activity energy. After fitting several functions using nonlinear regression, we found that the ranking of accumulated cyclonic energy can be slightly best described by some functions rather than by the beta-like (Cocho) function. However, this last function has been widely used in dynamical systems as forcing and dissipation effects are provided by the distribution parameters. Therefore, the present work allows to statistically evaluate the risks associated with tropical hurricanes as well as the statistical combined effects of the forcing and dissipation due to the Coriolis force, moisture, sea surface temperature, sea level pressure, shear and upper troposphere convergence. The results suggest that dissipation and forcing dominate the variability of cyclonic activity and such forces are anticorrelated. As a conclusion, it is found that a period of abnormal high risk is occurring since 1995 in accordance with the hurricane thermal engine theory for a sea surface warming due to global warming.

Suggested Citation

  • Elio Roca-Flores & Gerardo G. Naumis, 2021. "Assessing statistical hurricane risks: nonlinear regression and time-window analysis of North Atlantic annual accumulated cyclonic energy rank profile," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 108(3), pages 2455-2465, September.
    • Handle: RePEc:spr:nathaz:v:108:y:2021:i:3:d:10.1007_s11069-021-04813-7
    DOI: 10.1007/s11069-021-04813-7
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    References listed on IDEAS

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    1. Mansilla, R. & Köppen, E. & Cocho, G. & Miramontes, P., 2007. "On the behavior of journal impact factor rank-order distribution," Journal of Informetrics, Elsevier, vol. 1(2), pages 155-160.
    2. del Castillo, Joan & Daoudi, Jalila & Serra, Isabel, 2017. "The Full Tails Gamma Distribution Applied To Model Extreme Values," ASTIN Bulletin, Cambridge University Press, vol. 47(3), pages 895-917, September.
    3. Laura Gulia & Stefan Wiemer, 2019. "Real-time discrimination of earthquake foreshocks and aftershocks," Nature, Nature, vol. 574(7777), pages 193-199, October.
    4. Naumis, G.G. & Cocho, G., 2008. "Tail universalities in rank distributions as an algebraic problem: The beta-like function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 84-96.
    5. Mark A. Saunders & Adam S. Lea, 2008. "Large contribution of sea surface warming to recent increase in Atlantic hurricane activity," Nature, Nature, vol. 451(7178), pages 557-560, January.
    6. Beltrán del Río, M. & Cocho, G. & Naumis, G.G., 2008. "Universality in the tail of musical note rank distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(22), pages 5552-5560.
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