Extended Kalman Filter Based Analysis of Long-Term Sea-Level Changes Along the Black Sea Coast and Comparison with Satellite Altimetry

This study analyzes long-term sea-level changes along the Black Sea using tide-gauge and satellite data. An Extended Kalman Filter is applied to improve trend estimation, revealing a consistent rise and highlighting the limits of coastal altimetry.

The main objective of this study was to analyse long-term sea-level variation in the Black Sea using PSMSL tide-gauge data and satellite altimetry, and to improve trend estimation using the Extended Kalman Filter (EKF). For this, PSMSL tide-gauge records from 10 stations (1921–2020) and satellite altimetry (GLORYS12V1 / CMEMS) for 1993–2020 were used.  A linear and quadratic trend analysis was applied to detect long-term and accelerating changes, and an EKF state-space model was implemented to extract level, rate, and acceleration components. 

The Key findings of the study show that the sea level along the Black Sea coast has a clear, accelerating rise. EKF estimates match tide-gauge observations extremely well (correlation ~0.99). Satellite altimetry shows weaker agreement in coastal zones due to reduced precision near shorelines. EKF effectively removes noise and provides reliable short-term predictions.  This demonstrates the suitability of EKF for regional sea-level monitoring and provides more accurate coastal benchmarks for climate-adaptation planning. The study highlights the need for VLM correction in future analyses to reconcile altimetry and tide-gauge records more precisely.

The applications of such kind of studies can be flood-risk assessment, infrastructure planning, coastal-hazard mitigation, and climate-change studies.