Nguyen Kim Cuong, Giap Ngoc Anh, Bui Minh Tuan

Main Article Content

Abstract

In this study, the Self-Organizing Maps (SOM) method, combined with the K-means algorithm, was employed to analyze the seasonal variability of oceanic physical fields in the Gulf of Tonkin by grouping similar patterns of surface currents, temperature, and salinity into clusters. Analyzing the transitions between these patterns over time enables the identification and assessment of climate characteristics in these physical fields, utilizing a substantially larger amount of information compared to traditional climatological averages. SOM serves to simplify complex nonlinear features into easily observable two-dimensional relationships, while K-means assists in recognizing and highlighting significant spatial characteristics of the clusters. The results indicate that this approach provides a clearer and more intuitive depiction of the seasonal differences and variability of the physical fields, particularly improving the identification of the timing of current reversals and sea surface temperature changes. Furthermore, the study reveals that some representative patterns occur more frequently during El Niño years, whereas others are more prominent in La Niña years. These findings offer a novel approach, contributing to a better understanding of the relationship between oceanic physical fields in the Gulf of Tonkin and ENSO.

Keywords: SOM, K-Means, ENSO, Gulf of Tonkin.

References

[1] D. V. Bat, Seafloor Topography and Geomorphological Characteristics of the Gulf of Tonkin, Vietnam, Marine Geology Division, 2024 (in Vietnamese).
[2] D. Wu, Y. Wang, X. Lin, J. Yang, On the Mechanism of the Cyclonic Circulation in the Gulf of Tonkin in the Summer, J. Geophys. Res. Oceans, Vol. 113, No. C9, 2008, pp. 1-15, https://doi.org/10.1029/2007JC004208.
[3] Y. Ding, C. Chen, R.C. Beardsley, X. Bao, M. Shi, Y. Zhang, Z. Lai, R. Li, H. Lin, N.T. Viet, Observational and Model Studies of the Circulation in the Gulf of Tonkin, South China Sea, J. Geophys. Res. Oceans, Vol. 118, No. 12, 2013,
pp. 6495-6510, https://doi.org/10.1002/2013JC009455.
[4] H. T. Huong, Determine the Temperature Structure of the Tonkin Gulf, VNU Journal of Science: Earth and Environmental Sciences, Vol. 32, No. 3S, 2016, pp. 109-115 (in Vietnamese).
[5] P. Rogowski, J. Z. Garay, K. Shearman, E. Terrill, J. Wilkin, T. H. Lam, Air-Sea-Land Forcing in the Gulf of Tonkin. Oceanogr, Vol. 32, No. 2, 2019, pp. 150-161, https://doi.org/10.5670/oceanog.2019.223.
[6] J. Gao, H. Xue, F. Chai, M. Shi, Modeling the Circulation in the Gulf of Tonkin, South China Sea, Ocean Dyn, Vol. 63, No. 8, 2013, pp. 979-993, https://doi.org/10.1007/s10236-013-0636-y.
[7] J. Gao, M. Shi, B. Chen, P. Guo, D. Zhao, Responses of the Circulation and Water Mass in the Beibu Gulf to the Seasonal Forcing Regimes, Acta Ocean. Sin, Vol. 33, No. 7, 2014, pp. 1-11, https://doi.org/10.1007/s13131-014-0506-6.
[8] J. Gao, B. Chen, M. Shi, Summer Circulation Structure and Formation Mechanism in the Beibu Gulf, Science China Earth Sciences, Vol. 58,
No. 2, 2015, pp. 286-299, https://doi.org/10.1007/s11430-014-4916-2.
[9] J. Gao, G. Wu, H Ya, Review of the Circulation in the Beibu Gulf, South China Sea. Cont. Shelf Res, Vol. 138, 2017, pp. 106-119, http://dx.doi.org/10.1016/j.csr.2017.02.009.
[10] Y. Liu, R. H. Weisberg, C. N. Mooers, Performance Evaluation of the Self‐organizing Map for Feature Extraction, J. Geophys. Res. Oceans, Vol. 111, No. C5, 2006, https://doi.org/10.1029/2005JC003117.
[11] I. Vilibíc, J. Sepic, H. Mihanovíc et al., Seft-Organizing Maps-based Ocean Currents Forecasting System, Sci. Rep., Vol. 6, No. 1, 2016, pp. 22924, https://doi.org/10.1038/srep22924.
[12] S. Dey, R. Sikhakolli, D. P. Dogra, S. Sil, On the Variability of Ocean Surface Current in the Bay of Bengal using Self-organizing Map (SOM). Deep Sea Res. Part I: Oceanographic Research Papers, Vol. 199, 2023, pp. 104103, https://doi.org/10.1016/j.dsr.2023.104103.
[13] P. Lemenkova, K-means Clustering in R Libraries and for Grouping Oceanographic Data,
International Journal of Informatics and Applied Mathematics, Vol. 2, No. 1, 2019, pp. 1-26, https://doi.org/10.6084/m9.figshare.9891203.
[14] Q. Sun, C. M. Little, A. M. Barthel, L. Padman, A Clustering-based Approach to Ocean Model–data Comparison Around Antarctica, Ocean Sci.,
Vol. 17, No. 1, 2021, pp. 131-145, https://doi.org/10.5194/os-2020-51.
[15] K. Saastamoinen, S. Penttinen, Visual Seabed Classification Using K-means Clustering, CIELAB Colors and Gabor-filters, Procedia Computer Science, 2021, https://doi.org/10.1016/j.procs.2021.09.016.
[16] E. Romero, E. Portela, L. T. Fernandez, L. S. Velasco, Detection of Coherent Thermohaline Structures Over the Global Ocean Using Clustering, Deep Sea Res, Part I: Oceanographic Research Papers, Vol. 209, 2024, pp. 104344, https://doi.org/10.1016/j.dsr.2024.104344.
[17] T. B. Minh, K. C. Nguyen, D. Q. Van, T. P. Van, T. Cong, N. T. Minh, An Application of Cluster Analysis in Investigating Characteristics of the South and Southeast Asian Monsoon Onset in ENSO Years, SOLA, Vol. 20, 2024, pp. 386-391, https://doi.org/10.2151/sola.2024-051.
[18] A. Wallcraft, S. N. Carroll, K. A. Kelly, K. V. Rushing, Hybrid Coordinate Ocean Model (HYCOM) Version 2.1. User's Guide, 2003.
[19] https://tds.hycom.org/thredds/catalogs/GLBv0.08/expt_53.X.html (accessed on: September 10th, 2025).
[20] A. Barnston, Why are there so Many ENSO Indexes, Instead of Just One, NOAA Climate, Gov, 2015.
[21] T. Kohonen, Self-organized Formation of Topologically Correct Feature Maps, Biol. Cybern, Vol. 43, No. 1, 1982, pp. 59-69, https://doi.org/10.1007/BF00337288.
[22] J. Vesanto, E. Alhoniemi, Clustering of the Self-Organizing Map, IEEE Transactions on Neural Networks, Vol. 11, No. 3, pp. 586-600, https://doi.org/10.1109/72.846731.
[23] Y. Januzaj, E. Beqiri, A. Luma, Determining the Optimal Number of Clusters using Silhouette Score as a Data Mining Technique, International Journal of Online & Biomedical Engineering, Vol. 19,
No. 4, 2023, https://doi.org/10.3991/ijoe.v19i04.37059.
[24] G. Vardakas, L. Papakostas, A. Likas, Deep Clustering Using the Soft Silhouette Score: Towards Compact and Well-Separated Clusters, Towards Compact and Well-separated Clusters, arXiv preprint arXiv:2402.00608, 2024,
https://doi.org/10.48550/arXiv.2402.00608.