A Physically-Motivated Stochastic Model of Tropical Cyclone Dynamic Wind Fields

Tropical cyclones (TCs) pose significant risk to infrastructure and human safety, and the frequency and intensity of large TCs are expected to increase in the future. Quantifying such risk to coastal and inland regions is challenging, largely due to the rare nature of TCs which limits historical data availability. We introduce a new stochastic model of TC wind fields conditional on a small number of physical variables commonly found in synthetic and observed storm track databases. The model consists of a physically-motivated mean trend and an expansion of the residual field into a wavelet frame. We demonstrate the approach on a dataset consisting of historical data for storms impacting the northwest Gulf of Mexico. The model adequately captures asymmetry and nonstationary space-time correlation structures of observed wind fields.