RT journal article T1 The Extremal Value Analysis of Sea Level in the Gulf of Cádiz and Alborán Sea: A New Methodology and the Resilience of Critical Infrastructures A1 Alonso del Rosario, José Juan A1 Yin, Danping A1 Vidal Pérez, Juan Manuel A1 Coronil Huertas, Daniel José A1 Blázquez Gómez, Elizabeth A1 Pavón Quintana, Santiago A1 Muñoz Pérez, Juan José A1 Torrecillas, Cristina A2 Ciencias de la Tierra A2 Ciencias y Técnicas de la Navegación y Construcciones Navales A2 Física Aplicada K1 resilience K1 Gulf of Cádiz K1 lborán Sea K1 xtreme value analysis K1 ramér-Rao lower bound K1 akaike information criterion K1 Bayesian information criterion AB Rising sea levels and increasing storm wave heights are two clear indicators of climate change affecting coastal environments worldwide. Coastal cities and infrastructure are particularly vulnerable to these hazards, highlighting the need for accurate predictions and effective adaptation and resilience strategies to protect human lives and economic activities. This study focuses on the Andalusia coast of southern Spain, from Cádiz to Almería, analyzing twelve years of sea level and wave height records using an Extreme Value Analysis. A key challenge lies in selecting the most suitable statistical distribution for long-term predictions. To address this, we propose a modified application of the Cramér–Rao Lower Bound and compare it with the Akaike Information Criteria and the Bayesian Information Criteria. Our results indicate that sea level extremes generally follow a Gumbel distribution, while wave height extremes align more closely with the Fisher–Tippett I distribution. Additionally, a high-resolution digital elevation model of the Navantia Puerto Real shipyard, generated with LiDAR scanning, was used to identify flood-prone areas and assess potential operational impacts. This approach allows for the development of practical recommendations for enhancing infrastructure resilience. The main contribution of this work includes the estimation of extreme regimes for sea level and wave stations, a novel and more efficient application of the Cramér–Rao Lower Bound, a comparative analysis with Bayesian criteria, and providing recommendations to improve the resilience of shipyard operations. PB MDPI SN 2077-1312 YR 2025 FD 2025-08 LK http://hdl.handle.net/10498/38007 UL http://hdl.handle.net/10498/38007 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026