Dependence of Hurricane Track Forecasts on the Spectral Representation of Cumulus Convection

This study investigates the sensitivity of hurricane track and intensity forecasts to various cumulus parameterization schemes with scale-awareness, including the Simplified Arakawa-Schubert (SAS), Relaxed Arakawa-Schubert (RAS), and Chikira-Sugiyama Arakawa-Wu (CSAW), within the NOAA Global Forecast System (GFS) version 17 framework. Using a set of nine initial conditions for Hurricane Ian (2022), we demonstrate that schemes utilizing a spectrum of cloud types (RAS and CSAW) produce westward-shifted trajectories compared to the single-cloud SAS scheme, which exhibits an eastward track bias. When testing the sensitivity of the CSAW convective parameterization with Wb (cloud-base vertical velocity) spectrum and entrainment rates, a critical inverse relationship was revealed between parameterized convective strength and resolved storm intensity. Specifically, reducing the Wb range or increasing entrainment attenuates the sub-grid scale convective response, facilitating a compensatory intensification of the resolved-scale vortex and kinetic energy. Spectral analysis indicates that cloud-spectrum schemes exhibit reduced energy variance in low-frequency modes, which directly impacts large-scale steering. Furthermore, the results suggest that differences in the spatial orientation of PV anomalies may contribute to the simulated track divergence, with the storm propagating toward regions of maximum PV gradient. These findings underscore that the representation of the cloud spectrum and the subsequent energy partitioning between parameterized and resolved scales are important on tropical cyclone evolution in high-resolution numerical weather prediction models.