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Physics-informed residual learning for ship speed prediction across wind–wave–current scenarios

Our take

Accurate ship speed prediction is critical for voyage optimization and energy efficiency, particularly when navigating complex wind, wave, and current conditions. This study rigorously evaluates three approaches—a physics-based model, a data-driven model (DDM), and a physics-informed hybrid model (PHDM)—demonstrating that the PHDM consistently achieves superior results. Across analyzed scenarios, the PHDM yielded an average MAPE of 3.0168%, outperforming both the Physics model and DDM. For further insights into maritime operations, see our recent coverage of the *Glovis Lighthouse*'s arrival at the Port of Southampton.
Physics-informed residual learning for ship speed prediction across wind–wave–current scenarios

The pursuit of accurate ship-speed prediction is increasingly critical for optimizing maritime operations and reducing the environmental footprint of global shipping. As highlighted in a recent article detailing the arrival of the *Glovis Lighthouse* at the Port of Southampton Port Of Southampton Welcomes Largest-Ever Vehicle Carrier Glovis Lighthouse, the efficiency of port operations and vessel voyages is paramount. This new research, employing physics-informed residual learning, directly addresses this challenge by developing a hybrid model capable of more precisely forecasting vessel speed under complex environmental conditions — wind, waves, and currents. The study's focus on a single-vessel, single-voyage diagnostic approach, while limiting immediate broad applicability, provides a valuable, granular examination of model performance, offering a detailed validation design that is often absent in larger-scale attempts at predictive modeling. The increased efficiency resulting from improved prediction, as demonstrated by similar efforts in optimizing logistics at ports like Southampton Port Of Southampton Welcomes Largest-Ever Vehicle Carrier Glovis Lighthouse, contributes to more sustainable and cost-effective maritime transport.

The methodology presented – a physics-informed hybrid-driven model (PHDM) – showcases a promising avenue for combining the strengths of physics-based and data-driven approaches. The approach effectively uses a simplified physics-based model to establish a baseline, which is then refined by a data-driven residual learner, allowing the system to account for nuances and complexities not fully captured by the initial physics model. The use of self-organizing maps (SOMs) to define environmental strata is particularly noteworthy; rather than relying on general sea-state classifications, SOMs enable a more nuanced and locally-relevant assessment of conditions impacting ship speed. The significant performance gains observed for the PHDM, particularly in scenario C4, underscore the potential of this hybrid approach. While the study acknowledges the limitations of its scope – specifically, its application to a single vessel and voyage – the rigorous validation design, including a fixed-reference stress test, strengthens the credibility of the findings and provides a solid foundation for future development. The comparative performance analysis, demonstrating the PHDM's superior performance in terms of MAE and MAPE compared to both the Physics model and the purely data-driven model (DDM), further reinforces the value of this integrated approach.

The implications of this research extend beyond optimized voyage planning. Accurate ship-speed prediction directly informs energy-efficiency assessments, enabling ship operators and regulators to identify areas for improvement and implement strategies to reduce fuel consumption and emissions. Furthermore, the development of robust predictive models contributes to safer and more reliable operational decision support systems. The validated methodology presented here, while focused on a specific dataset (the SHANGHAI EXPRESS voyage), provides a blueprint for replicating and adapting this approach to other vessels and voyages. The emphasis on empirical validation and rigorous testing aligns with the principles of scientific integrity and reinforces the credibility of the findings. This approach to model building – carefully calibrating against observed data, utilizing longitudinal datasets, and integrating physics-based constraints – represents a significant step forward in the development of ocean intelligence solutions and the broader application of integrated data ecosystems.

Looking ahead, the challenge lies in extending the generalizability of these findings. While the study highlights the scenario-wise performance within the analyzed voyage, a crucial next step is to assess the model's robustness across a wider range of vessels, voyages, and environmental conditions. Further research should explore techniques for automated SOM training and adaptation to dynamically changing environmental regimes, potentially incorporating real-time metocean data streams. Ultimately, the question becomes: can a model like this, initially validated on a single voyage, be effectively scaled and deployed as a core component of a global, real-time ship performance monitoring and optimization system? The potential for such a system to contribute to a more sustainable and efficient maritime industry is substantial.

Accurate ship-speed prediction under heterogeneous wind, wave and current forcing is important for voyage optimisation, energy-efficiency assessment and operational decision support. This study is framed as a single-vessel, single-voyage AIS–metocean diagnostic study rather than as an operational model with demonstrated cross-voyage or cross-vessel generalisation. The study compares a non-learning Physics model, a data-driven model (DDM), and a physics-informed hybrid-driven model (PHDM) in which a simplified physics-based speed-loss baseline is corrected by a data-driven residual learner. Self-organising map (SOM) regimes are used as diagnostic environmental strata rather than as a general-purpose sea-state classification. Using the predefined C1–C5 scenarios of the SHANGHAI EXPRESS voyage dataset, the exploratory post-hoc best-learner comparison gives an average MAPE of 3.0168% for PHDM, compared with 7.5794% for the Physics model and 6.6594% for DDM. In C4, MAPE decreases from 13.4291% for the Physics model and 12.9513% for DDM to 5.4178% for PHDM. These results provide the primary scenario-wise description of model performance within the analysed voyage. In C1, the comparison is metric-dependent: the Physics model has lower RMSE and MSE, whereas PHDM has lower MAE and MAPE. A fixed-reference stress test uses chronological partitioning, matched learner identity, and non-position feature sets to examine the stability of the scenario-wise pattern. Positive PHDM gains are observed for all fixed learners in C4 and for most fixed learners in C5, whereas the pattern differs across C1–C3. These findings apply to the analysed vessel, voyage period, validation design, and SOM-derived environmental regimes.

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