<p>This study investigates the 2020–2021 seismic swarm in the Southern Alboran Sea region, providing new insights into the spatial and temporal dynamics of seismic events. By analyzing the <i>b-values</i>, Hurst exponents, and spatial fractal dimensions, we establish that the seismicity in this region exhibits both long-term memory and a consistent stress regime. The results highlight the complexity of seismic processes in Southern Alboran Sea, showing that the seismic swarm patterns align with previously observed seismic activity in the area. The persistence and clustering behaviors observed in the seismic data underscore the region’s ongoing tectonic activity, suggesting that seismic events are not randomly distributed but follow discernible patterns. The study’s findings are essential for improving seismic hazard models and can aid in better preparing for future seismic events in the Southern Alboran Sea region. This research contributes to a deeper understanding of the mechanisms driving seismic swarms and provides a framework for analyzing similar seismic events in other tectonically active regions.</p>