A Euclidean Distance Diagnostic of North Atlantic Basin Activity

Abstract An analysis of North Atlantic basin activity was conducted by comparing the similarity of accumulated cyclone energy (ACE) to tropical storms and hurricanes (named storms) from 1851 to 2022. These time series data sets share common in-phase dynamics, spatially and temporally. The data sets also characterize a stochastic system where the shared underlying signals are comprised of annual, El Niño-Southern Oscillation (ENSO), and Pacific Decadal teleconnections [1]. Using the magnitude of ACE as a measure of basin activity, and the Euclidean distance as a measure of similarity between ACE and named storms; it can be observed that the distances measured fluctuate predictably overtime. These predictable fluctuations of similarities illustrate modality of basin activity oscillating between different primary behavioral analogues of ACE during both pre-satellite and post-satellite introduction time periods. Using the Euclidean distance, it is possible to characterize ACE based upon intrinsic in-phase and magnitude similarities with basin measures over a defined period of time.