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Forecasting China's shipping indices based on modal decomposition and optimized deep learning integrated model
Yuye Zou1, Yingyu Liu1, Guangnian Xiao1
1College of Economics and Management, Shanghai Maritime University, Shanghai, China.
Plos One
|December 8, 2025
Summary
This study introduces the VMD-CPSO-BiLSTM model for accurate shipping index forecasting in China. This hybrid approach enhances predictions for maritime sector trends.
Area of Science:
- Maritime Economics
- Financial Time Series Analysis
- Deep Learning
Background:
- Accurate forecasting of shipping indices is crucial for China's maritime sector.
- Traditional models struggle with the nonlinearity and non-stationarity of shipping data.
Purpose of the Study:
- To develop an innovative hybrid forecasting model, VMD-CPSO-BiLSTM, to enhance prediction accuracy for Chinese shipping indices.
- To address the challenges of nonlinearity, non-stationarity, and multi-scale characteristics in time series forecasting.
Main Methods:
- Variational Mode Decomposition (VMD) to decompose time series into intrinsic mode functions (IMFs).
- Chaotic Particle Swarm Optimization (CPSO) to optimize Bi-directional Long Short-Term Memory (BiLSTM) network parameters.
- Integration of predictions from high-frequency and low-frequency components for comprehensive forecasts.
Main Results:
- The VMD-CPSO-BiLSTM model demonstrated superior performance compared to conventional single deep learning models and other hybrid approaches.
- The model effectively captured nonlinear and complex patterns in shipping index data.
- Empirical validation using key Chinese shipping indices confirmed the model's enhanced predictive accuracy and stability.
Conclusions:
- The VMD-CPSO-BiLSTM model offers a reliable tool for forecasting shipping market trends.
- The model provides enhanced decision-making support for strategic planning and operational management in the maritime industry.
- This methodological innovation contributes significantly to maritime economics and financial time series analysis.