Skip to main content
Log in

A new exploration in Baltic Dry Index forecasting learning: application of a deep ensemble model

  • Original Article
  • Published:
Maritime Economics & Logistics Aims and scope

Abstract

World trade is growing constantly, facilitated by the fast expansion of logistics. However, risks and uncertainty in shipping have also increased, in dire need to be addressed by the research community, through more accurate and efficient methods of forecasting. In recent years, combining attention models and deep learning has produced remarkable results in various domains. With daily data spanning the period from January 6, 1995, to September 16, 2022 (totaling 6896 observations), we predict the Baltic Dry Index (BDI) using a deep integrated model (CNN-BiLSTM-AM) comprising a convolutional neural network (CNN), bi-directional long short-term memory (BiLSTM), and the attention mechanism (AM). Our findings indicate that the integrated model CNN-BiLSTM-AM encompasses the nonlinear and nonstationary characteristics of the shipping industry, and it has a greater prediction accuracy than any single model, with an R2 value of 96.9%. This research shows that focusing on the data’s value has a particular appeal in the intelligence era. The study enhances the integrated research of machine learning in the shipping business and offers a foundation for economic decisions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Alizadeh, Amir H., and Gulnur Muradoglu. 2014. Stock market efficiency and international shipping-market information. Journal of International Financial Markets, Institutions and Money 33: 445–461.

    Article  Google Scholar 

  • Apergis, Nicholas, and James E. Payne. 2013. New evidence on the information and predictive content of the Baltic Dry Index. International Journal of Financial Studies 1 (3): 62–80.

    Article  Google Scholar 

  • Bae, Sung-Hoon., Gunwoo Lee, and Keun-Sik. Park. 2021. A Baltic Dry Index prediction using deep learning models. Journal of Korea Trade 25 (4): 17–36.

    Article  Google Scholar 

  • Bandyopadhyay, Arunava, and Prabina Rajib. 2023. The asymmetric relationship between Baltic Dry Index and commodity spot prices: Evidence from nonparametric causality-in-quantiles test. Mineral Economics 36 (2): 217–237.

    Article  Google Scholar 

  • Batchelor, Roy, Amir Alizadeh, and Ilias Visvikis. 2007. Forecasting spot and forward prices in the international freight market. International Journal of Forecasting 23 (1): 101–114.

    Article  Google Scholar 

  • Bildirici, Melike E., Fazıl Kayıkçı, and I.şıl Şahin Onat. 2015. Baltic Dry Index as a major economic policy indicator: The relationship with economic growth. Procedia - Social and Behavioral Sciences 210: 416–424.

    Article  Google Scholar 

  • Chang, Chao-Chi., Heng Chih Chou, and Wu. Chun Chou. 2014. Value-at-risk analysis of the asymmetric long-memory volatility process of dry bulk freight rates. Maritime Economics & Logistics 16 (3): 298–320.

    Article  Google Scholar 

  • Chen, Shun, Hilde Meersman, and Eddy van de Voorde. 2012. Forecasting spot rates at main routes in the dry bulk market. Maritime Economics & Logistics 14 (4): 498–537.

    Article  Google Scholar 

  • Chou, Chien-Chang., and Keng-Shou. Lin. 2019. A fuzzy neural network combined with technical indicators and its application to Baltic Dry Index forecasting. Journal of Marine Engineering & Technology 18 (2): 82–91.

    Article  Google Scholar 

  • Cromwell, Jeff B., Michael J. Hannan, Walter C. Labys, and Michel Terraza. 1994. Multivariate tests for time series models. Thousand Oaks: SAGE Publications.

    Book  Google Scholar 

  • Cullinane, Kevin, and Hercules Haralambides. 2021. Global trends in maritime and port economics: The COVID-19 pandemic and beyond. Maritime Economics & Logistics 23 (3): 369–380.

    Article  Google Scholar 

  • Cullinane, Kevin, Keith Mason, and Matthew Cape. 1999. A comparison of models for forecasting the Baltic freight index: Box-Jenkins revisited. International Journal of Maritime Economics 1 (2): 15–39.

    Article  Google Scholar 

  • Duru, Okan, and Shigeru Yoshida. 2009. Judgmental forecasting in the dry bulk shipping business: Statistical vs. judgmental approach. Asian Journal of Shipping and Logistics 25 (2): 189–217.

    Article  Google Scholar 

  • Duru, Okan, Emrah Bulut, and Shigeru Yoshida. 2012. A fuzzy extended DELPHI method for adjustment of statistical time series prediction: An empirical study on dry bulk freight market case. Expert Systems with Applications 39 (1): 840–848.

    Article  Google Scholar 

  • Duru, Okan. 2010. A fuzzy integrated logical forecasting model for dry bulk shipping index forecasting: An improved fuzzy time series approach. Expert Systems with Applications 37 (7): 5372–5380.

    Article  Google Scholar 

  • Fischer, Thomas, and Christopher Krauss. 2018. Deep learning with long short-term memory networks for financial market predictions. European Journal of Operational Research 270 (2): 654–669.

    Article  MathSciNet  Google Scholar 

  • Fuller, Wayne A. 2009. Introduction to statistical time series. Hoboken: John Wiley & Sons.

    Google Scholar 

  • Gao, Ruzhao, Yueqiang Zhao, and Bing Zhang. 2023. Baltic Dry Index and global economic policy uncertainty: Evidence from the linear and nonlinear Granger causality tests. Applied Economics Letters 30 (3): 360–366.

    Article  Google Scholar 

  • Gu, Jiuxiang, Zhenhua Wang, Jason Kuen, Lianyang Ma, Amir Shahroudy, Bing Shuai, Ting Liu, Xingxing Wang, Gang Wang, Jianfei Cai, and Tsuhan Chen. 2018. Recent advances in convolutional neural networks. Pattern Recognition 77 (C): 354–377.

    Article  ADS  Google Scholar 

  • Gu, Yimiao, Zhenxi Chen, and Donald Lien. 2019. Baltic Dry Index and iron ore spot market: Dynamics and interactions. Applied Economics 51 (35): 3855–3863.

    Article  Google Scholar 

  • Guan, Feng, Zixuan Peng, Keming Wang, Xiaolin Song, and Junjie Gao. 2016. Multi-step hybrid prediction model of Baltic Supermax Index based on support vector machine. Neural Network World 26 (3): 219–232.

    Article  Google Scholar 

  • Han, Liyan, Li. Wan, and Xu. Yang. 2020. Can the Baltic Dry Index predict foreign exchange rates? Finance Research Letters 32 (C): 101157.

    Article  Google Scholar 

  • Han, Qianqian, Bo. Yan, Guobao Ning, and B. Yu. 2014. Forecasting dry bulk freight index with improved SVM. Mathematical Problems in Engineering 2014: 460684.

    Article  Google Scholar 

  • Haralambides, Hercules E. 2019. Gigantism in container shipping, ports and global logistics: A time-lapse into the future. Maritime Economics & Logistics 21 (1): 1–60.

    Article  Google Scholar 

  • Kamal, Imam Mustafa, Hyerim Bae, Sim Sunghyun, and Heesung Yun. 2020. DERN: Deep ensemble learning model for short- and long-term prediction of Baltic Dry Index. Applied Sciences 10 (4): 1504.

    Article  Google Scholar 

  • Kanamoto, Kei, Liwen Murong, Minato Nakashima, and Ryuichi Shibasaki. 2021. Can maritime big data be applied to shipping industry analysis? Focussing on commodities and vessel sizes of dry bulk carriers. Maritime Economics & Logistics 23 (2): 211–236.

    Article  Google Scholar 

  • Katris, Christos, and Manolis G. Kavussanos. 2021. Time series forecasting methods for the Baltic Dry Index. Journal of Forecasting 40 (8): 1540–1565.

    Article  MathSciNet  Google Scholar 

  • Kavussanos, Manolis G., and Amir H. Alizadeh-M. 2001. Seasonality patterns in dry bulk shipping spot and time charter freight rates. Transportation Research Part e: Logistics and Transportation Review 37 (6): 443–467.

    Article  Google Scholar 

  • Leonov, Yordan, and Ventsislav Nikolov. 2012. A wavelet and neural network model for the prediction of dry bulk shipping indices. Maritime Economics & Logistics 14 (3): 319–333.

    Article  Google Scholar 

  • Li, Fei, Meishan Zhang, Bo. Tian, Bo. Chen, Fu. Guohong, and Donghong Ji. 2018. Recognizing irregular entities in biomedical text via deep neural networks. Pattern Recognition Letters 105: 105–113.

    Article  ADS  Google Scholar 

  • Lin, Arthur J., Hai Yen Chang, and Jung Lieh Hsiao. 2019. Does the Baltic Dry Index drive volatility spillovers in the commodities, currency, or stock markets? Transportation Research Part e: Logistics and Transportation Review 127 (C): 265–283.

    Article  Google Scholar 

  • Lin, Faqin, and Nicholas C.S.. Sim. 2013. Trade, income and the Baltic Dry Index. European Economic Review 59 (C): 1–18.

    Article  Google Scholar 

  • Lin, Hsio-Yi, Yu-Fang Juan, and An-Pin Chen. 2007. Hybrid intelligent trading approach XCS neural network model for Taiwan Stock index trend forecasting. In Proceedings of the 2007 International Conference on Convergence Information Technology, November 21–23, 2007, Gwangju, Korea, 1408–1416. Washington, DC: IEEE Computer Society.

  • Liu, Mingxi, Yajie Zhao, Jingkai Wang, Chang Liu, and Guowen Li. 2022. A deep learning framework for Baltic Dry Index forecasting. Procedia Computer Science 199: 821–828.

    Article  Google Scholar 

  • Ljung, Greta M., and George E.P.. Box. 1978. On a measure of lack of fit in time series models. Biometrika 65 (2): 297–303.

    Article  Google Scholar 

  • Lu, Wenjie, Jiazheng Li, Jingyang Wang, and Lele Qin. 2021. A CNN-BiLSTM-AM method for stock price prediction. Neural Computing and Applications 33 (10): 4741–4753.

    Article  Google Scholar 

  • Makridakis, Spyros, et al. 2020. A novel forecasting model for the Baltic dry index utilizing optimal squeezing. Journal of Forecasting 39 (1): 56–68.

    Article  MathSciNet  Google Scholar 

  • Niu, Zhaoyang, Guoqiang Zhong, and Yu. Hui. 2021. A review on the attention mechanism of deep learning. Neurocomputing 452: 48–62.

    Article  Google Scholar 

  • Notteboom, Theo E., and Hercules E. Haralambides. 2020. Port management and governance in a post-COVID-19 era: Quo vadis? Maritime Economics & Logistics 22 (3): 329–352.

    Article  Google Scholar 

  • Oomen, J.G.M. 2012. The Baltic Dry Index: A predictor of stock market returns. Master’s thesis, Tilburg University.

  • Papailias, Fotis, Dimitrios D. Thomakos, and Jiadong Liu. 2017. The Baltic Dry Index: Cyclicalities, forecasting and hedging strategies. Empirical Economics 52 (1): 255–282.

    Article  Google Scholar 

  • Papapostolou, Nikos C., Panos K. Pouliasis, Nikos K. Nomikos, and Ioannis Kyriakou. 2016. Shipping investor sentiment and international stock return predictability. Transportation Research Part E: Logistics and Transportation Review 96: 81–84.

    Article  Google Scholar 

  • Şahin, Bekir, Samet Gürgen, Bedir Ünver, and İsmail Altin. 2018. Forecasting the Baltic Dry Index by using an artificial neural network approach. Turkish Journal of Electrical Engineering & Computer Sciences 26 (3): 1673–1684.

    Google Scholar 

  • Said, Husaini, and Evangelos Giouvris. 2019. Oil, the Baltic Dry index, market (il)liquidity and business cycles: Evidence from net oil-exporting/oil-importing countries. Financial Markets and Portfolio Management 33 (4): 349–416.

    Article  Google Scholar 

  • Tsioumas, Vangelis, Stratos Papadimitriou, Yiannis Smirlis, and Shaher Zahran Zahran. 2017. A novel approach to forecasting the bulk freight market. Asian Journal of Shipping and Logistics 33 (1): 33–41.

    Article  Google Scholar 

  • Uyar, Kaan, Ümit. ilhan, and Ahmet İlhan. 2016. Long term dry cargo freight rates forecasting by using recurrent fuzzy neural networks. Procedia Computer Science 102 (C): 642–647.

    Article  Google Scholar 

  • Veenstra, Albert Willem, and Philip Hans Franses. 1997. A co-integration approach to forecasting freight rates in the dry bulk shipping sector. Transportation Research Part a: Policy and Practice 31 (6): 447–458.

    Google Scholar 

  • Wang, Yadong, Qiang Meng, and Du. Yuquan. 2015. Liner container seasonal shipping revenue management. Transportation Research Part b: Methodological 82 (C): 141–161.

    Article  Google Scholar 

  • Xiao, Wei, Xu. Chuan, Hongling Liu, and Xiaobo Liu. 2021. A hybrid LSTM-Based ensemble learning approach for China coastal bulk coal freight index prediction. Journal of Advanced Transportation 2021: 5573650.

    Article  Google Scholar 

  • Yang, Hualong, Fang Dong, and Margarette Ogandaga. 2008. Forewarning of freight rate in shipping market based on support vector machine. In Traffic and transportation studies, ed. Baohua Mao, Zongzhong Tian, Haijun Huang, and Ziyou Gao, 295–303. Reston: American Society of Civil Engineers.

    Chapter  Google Scholar 

  • Yang, Zaili, and Esin Erol Mehmed. 2019. Artificial neural networks in freight rate forecasting. Maritime Economics & Logistics 21 (3): 390–414.

    Article  Google Scholar 

  • Zeng, Qingcheng, Qu. Chenrui, Adolf K.Y.. Ng, and Xiaofeng Zhao. 2016. A new approach for Baltic Dry Index forecasting based on empirical mode decomposition and neural networks. Maritime Economics & Logistics 18 (2): 192–210.

    Article  Google Scholar 

  • Zhang, Xin, M.Y. Chen, Minggang Wang, Ying-en Ge, and H. Eugene Stanley. 2019. A novel hybrid approach to Baltic Dry Index forecasting based on a combined dynamic fluctuation network and artificial intelligence method. Applied Mathematics and Computation 361 (C): 499–516.

    Article  Google Scholar 

  • Zhang, Xin, Tianyuan Xue, and H. Eugene Stanley. 2018. Comparison of econometric models and artificial neural networks algorithms for the prediction of baltic dry index. IEEE Access 7: 1647–1657.

    Article  Google Scholar 

Download references

Acknowledgements

We appreciate the comments and opinions of MEL editors and reviewers; they were highly insightful and beneficial in updating and refining our work, as well as providing essential guidance for our research.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sung Hoon Bae.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

Table 3 illustrates the specific information of the final model parameters.

Table 3 Final model parameters

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Su, M., Park, K.S. & Bae, S.H. A new exploration in Baltic Dry Index forecasting learning: application of a deep ensemble model. Marit Econ Logist 26, 21–43 (2024). https://doi.org/10.1057/s41278-023-00278-6

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1057/s41278-023-00278-6

Keywords

Navigation