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Detecting the sensitive area of evaporation duct and evaluating its impact on forecasts of electromagnetic propagation over the South China Sea

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Accurate forecasting of electromagnetic (EM) propagation over the South China Sea is critical for reliable maritime communication and radar detection, yet hampered by evaporation ducts—atmospheric phenomena that distort radio waves. This study employs the nonlinear local Lyapunov exponent (NLLE) method to identify sensitive areas of forecast error for evaporation duct heights, revealing a concentration along the coasts of China and Vietnam. Excluding these sensitive regions demonstrably improves EM propagation path loss forecasts, though the impact varies by year.
Detecting the sensitive area of evaporation duct and evaluating its impact on forecasts of electromagnetic propagation over the South China Sea

The recent study detailing the identification of sensitive areas for evaporation duct forecasting over the South China Sea (SCS) represents a significant advancement in understanding and mitigating errors in electromagnetic (EM) propagation prediction. Evaporation ducts, formed by temperature inversions near the sea surface, can dramatically alter radio wave transmission, impacting crucial maritime communications and radar systems. This research, utilizing the nonlinear local Lyapunov exponent (NLLE) method, pinpoints regions where small errors in initial atmospheric conditions can lead to disproportionately large forecast discrepancies. The findings resonate strongly within the context of increasing maritime activity and geopolitical complexity in the SCS, a region also witnessing developments like China Constructs World’s Largest Naval Supply Ship At Guangzhou Shipyard and navigating considerations of extraterritorial jurisdiction as outlined in Extraterritorial jurisdiction in transboundary marine environmental governance: article 3 of China’s ecological and environmental code and its positioning in the global context. Accurate EM propagation forecasts are therefore not merely a matter of technical efficiency, but a critical element in ensuring operational safety and strategic stability.

The application of the NLLE method to identify these sensitive areas—primarily concentrated along the coastal regions of China and Vietnam within the northern SCS—is particularly noteworthy. Previous efforts to improve evaporation duct forecasts have often focused on refining overall models, a computationally intensive and potentially less targeted approach. This research offers a more efficient strategy: by focusing observational resources on these identified "sensitive areas," scientists can effectively reduce initial-condition uncertainty and improve forecast accuracy. The observed reduction in mean absolute error (MAE) and root mean square error (RMSE) of path loss (PL) forecasts, though varying between 2024 and 2025, provides empirical validation of this approach. The variability in improvement underscores the complex interplay of environmental factors influencing evaporation duct formation, highlighting the need for adaptive observation strategies. The SCS’s importance as a key maritime transit route, as evidenced by the significant number of India-linked ships applying for Iran-managed transit, as reported in India-Linked Ships Among Top Applicants For Iran-Managed Strait Of Hormuz Transit, further amplifies the practical implications of this work.

The robustness and reliability of the detected sensitive areas, as indicated by the numerical experiments, offer a compelling case for wider adoption of the NLLE method in EM propagation forecasting. While the study acknowledges that this is a preliminary exploration, the encouraging results warrant further investigation into the underlying mechanisms driving the sensitivity and the potential for developing real-time observation systems tailored to these specific regions. The integration of validated, measurable data—a cornerstone of World Data Ocean’s principles—is crucial for refining these models and ensuring their long-term accuracy. The use of longitudinal data and empirical calibration, consistently favored in our approach, will be essential for assessing the stability of these sensitive areas over time and accounting for the evolving climatic conditions impacting the SCS. The focus on integrated data ecosystems allows for continuous improvement and real-time adjustments to observation strategies.

Looking ahead, a key area for future research lies in understanding the spatial and temporal variability of these sensitive areas under different meteorological regimes. Developing a dynamic mapping system that incorporates climate indicators and real-time atmospheric data could provide invaluable support for maritime operations and strategic planning. Furthermore, exploring the potential for integrating satellite-based observations with ground-based measurements within this integrated data ecosystem could offer a comprehensive and cost-effective solution. Will the increasing frequency and intensity of extreme weather events in the SCS alter the location and persistence of these sensitive areas, requiring a reassessment of observation strategies, and how can we best calibrate these forecasts for diverse maritime applications ranging from naval operations to commercial shipping?

Evaporation ducts can significantly modify the atmospheric refractive index profile, leading to errors in electromagnetic (EM) propagation prediction, thereby affecting the reliability of maritime radio communication and radar detection. However, due to the uncertainty of initial conditions, it remains challenging to achieve high-precision forecasts of evaporation ducts. Detecting the sensitive areas of forecast errors and designing optimal observation strategies are proved to be effective techniques to reduce initial-condition uncertainty and improve the prediction skill of evaporation ducts. In this study, the nonlinear local Lyapunov exponent (NLLE) method is introduced to detect the sensitive areas of forecast errors for summer evaporation duct heights (EDHs) over the South China Sea (SCS). Results show that the sensitive areas are mainly distributed in the northern SCS, particularly along the coastal regions of China and Vietnam. The presence of these sensitive areas has a negative impact on the accuracy of EM propagation path loss (PL) forecasts. After excluding the sensitive areas, both the mean absolute error (MAE) and root mean square error (RMSE) of PL decreased, indicating that the detected regions exert a substantial influence on forecast skill. The improvement in PL forecasting was minor in 2024, whereas it was significant in 2025, suggesting that the effectiveness of the identified sensitive areas may vary under different environmental conditions. The results of these numerical experiments indicate that the detected sensitive areas are robust and reliable. This preliminary exploration provides encouraging results and highlights the potential for improving forecast performance. It is therefore worthwhile conducting further research on the sensitive areas of evaporation ducts in future work.

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