Stochastic Modeling of Hurricane Damage
- 1 July 2002
- journal article
- Published by American Meteorological Society in Journal of Applied Meteorology and Climatology
- Vol. 41 (7) , 754-762
- https://doi.org/10.1175/1520-0450(2002)041<0754:smohd>2.0.co;2
Abstract
A compound Poisson process is proposed as a stochastic model for the total economic damage associated with hurricanes. This model consists of two components, one governing the occurrence of events and another specifying the damages associated with individual events. In this way, damage totals are represented as a “random sum,” with variations in total damage being decomposed into two sources, one attributable to variations in the frequency of events and another to variations in the damage from individual events. The model is applied to the economic damage, adjusted for societal vulnerability, caused by North Atlantic hurricanes making landfall in the continental United States. The total number of damaging storms per year is fitted reasonably well by a Poisson distribution, and the monetary damage for individual storms is fitted by the lognormal. The fraction of the variation in annual damage totals associated with fluctuations in the number of storms, although smaller than the corresponding fract... Abstract A compound Poisson process is proposed as a stochastic model for the total economic damage associated with hurricanes. This model consists of two components, one governing the occurrence of events and another specifying the damages associated with individual events. In this way, damage totals are represented as a “random sum,” with variations in total damage being decomposed into two sources, one attributable to variations in the frequency of events and another to variations in the damage from individual events. The model is applied to the economic damage, adjusted for societal vulnerability, caused by North Atlantic hurricanes making landfall in the continental United States. The total number of damaging storms per year is fitted reasonably well by a Poisson distribution, and the monetary damage for individual storms is fitted by the lognormal. The fraction of the variation in annual damage totals associated with fluctuations in the number of storms, although smaller than the corresponding fract...Keywords
This publication has 22 references indexed in Scilit:
- Techniques for estimating uncertainty in climate change scenarios and impact studiesClimate Research, 2002
- Bayesian Analysis of U.S. Hurricane ClimateJournal of Climate, 2001
- Human Factors Explain the Increased Losses from Weather and Climate Extremes*Bulletin of the American Meteorological Society, 2000
- Fluctuations in North Atlantic Hurricane FrequencyJournal of Climate, 1999
- Effect of El Niño on U.S. Landfalling Hurricanes, RevisitedBulletin of the American Meteorological Society, 1998
- Overdispersion Phenomenon in Stochastic Modeling of PrecipitationJournal of Climate, 1998
- Secular Trends of Precipitation Amount, Frequency, and Intensity in the United StatesBulletin of the American Meteorological Society, 1998
- Atlantic Seasonal Hurricane Frequency. Part I: El Niño and 30 mb Quasi-Biennial Oscillation InfluencesMonthly Weather Review, 1984
- On Some Criteria for Estimating the Order of a Markov ChainTechnometrics, 1981
- On Quick Choice of Power TransformationJournal of the Royal Statistical Society Series C: Applied Statistics, 1977