Simulation and extremal analysis of hurricane events

In regions affected by tropical storms the damage caused by hurricane winds can be catastrophic. Consequently, accurate estimates of hurricane activity in such regions are vital. Unfortunately, the severity of events means that wind speed data are scarce and unreliable, even by standards which are usual for extreme value analysis. In contrast, records of atmospheric pressures are more complete. This suggests a two‐stage approach: the development of a model describing spatiotemporal patterns of wind field behaviour for hurricane events; then the simulation of such events, using meteorological climate models, to obtain a realization of associated wind speeds whose extremal characteristics are summarized. This is not a new idea, but we apply careful statistical modelling for each aspect of the model development and simulation, taking the Gulf and Atlantic coastlines of the USA as our study area. Moreover, we address for the first time the issue of spatial dependence in extremes of hurricane events, which we find to have substantial implications for regional risk assessments.

[1]  W. Malkin.  Filling and intensity changes in hurricanes over land , 1959 .

[2]  Howard E. Graham,et al.  Meteorological considerations pertinent to standard project hurricane, Atlantic and Gulf coasts of the United States , 1959 .

[3]  Francis P. Ho,et al.  Some Climatological Characteristics of Hurricanes and Tropical Storms, Gulf and East Coasts of the United States , 1975 .

[4]  B. R. Jarvinen,et al.  A tropical cyclone data tape for the North Atlantic basin, 1886-1977 : contents, limitations, and uses , 1978 .

[5]  Francis P. Ho,et al.  Meteorological criteria for standard project hurricane and probable maximum hurricane windfields, gulf and east coasts of the United States , 1979 .

[6]  E. Simiu,et al.  Hurricane Wind Speeds in the United States , 1980 .

[7]  Lloyd J. Shapiro,et al.  The Asymmetric Boundary layer Flow Under a Translating Hurricane , 1983 .

[8]  B. J. Vickery,et al.  Design wind speeds in regions dominated by tropical cyclones , 1983 .

[9]  C. J. Neumann.  Tropical cyclones of the North Atlantic Ocean, 1871-1986. , 1987 .

[10]  M. DeMaria,et al.  A Simple Empirical Model for Predicting the Decay of Tropical Cyclone Winds after Landfall , 1995 .

[11]  Gordon Bril,et al.  Forecasting hurricane tracks using the Kalman filter , 1995 .

[12]  A. Ledford,et al.  Statistics for near independence in multivariate extreme values , 1996 .

[13]  Emil Simiu,et al.  Estimates of Hurricane Wind Speeds by “Peaks Over Threshold” Method , 1998 .

[14]  Stuart G. Coles,et al.  Extreme hurricane wind speeds: estimation, extrapolation and spatial smoothing. , 1998 .

[15]  Janet E. Heffernan,et al.  Dependence Measures for Extreme Value Analyses , 1999 .