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16 pages, 1604 KiB  
Article
Crude Oil Futures Price Forecasting Based on Variational and Empirical Mode Decompositions and Transformer Model
by Linya Huang, Xite Yang, Yongzeng Lai, Ankang Zou and Jilin Zhang
Mathematics 2024, 12(24), 4034; https://doi.org/10.3390/math12244034 - 23 Dec 2024
Viewed by 352
Abstract
Crude oil is a raw and natural, but nonrenewable, resource. It is one of the world’s most important commodities, and its price can have ripple effects throughout the broader economy. Accurately predicting crude oil prices is vital for investment decisions but it remains [...] Read more.
Crude oil is a raw and natural, but nonrenewable, resource. It is one of the world’s most important commodities, and its price can have ripple effects throughout the broader economy. Accurately predicting crude oil prices is vital for investment decisions but it remains challenging. Due to the deficiencies neglecting residual factors when forecasting using conventional combination models, such as the autoregressive moving average and the long short-term memory for prediction, the variational mode decomposition (VMD)-empirical mode decomposition (EMD)-Transformer model is proposed to predict crude oil prices in this study. This model integrates a second decomposition and Transformer model-based machine learning method. More specifically, we employ the VMD technique to decompose the original sequence into variational mode filtering (VMF) and a residual sequence, followed by using EMD to decompose the residual sequence. Ultimately, we apply the Transformer model to predict the decomposed modal components and superimpose the results to produce the final forecasted prices. Further empirical test results demonstrate that the proposed quadratic decomposition composite model can comprehensively identify the characteristics of WTI and Brent crude oil futures daily price series. The test results illustrate that the proposed VMD–EMD–Transformer model outperforms the other three models—long short-term memory (LSTM), Transformer, and VMD–Transformer in forecasting crude oil prices. Details are presented in the empirical study part. Full article
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<p>The proposed VMD–EMD–Transformer prediction approach.</p>
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<p>Brent and WTI crude oil historical prices.</p>
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<p>Intrinsic mode functions (IMFs) derived from the Brent crude oil price residue using EMD, highlighting different frequency components.</p>
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<p>Intrinsic mode functions (IMFs) derived from the WTI crude oil price residue using EMD, illustrating low- and high-frequency trends.</p>
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<p>Comparison of actual and predicted Brent crude oil prices using the VMD–EMD–Transformer and baseline models.</p>
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<p>Comparison of actual and predicted WTI crude oil prices using the VMD–EMD–Transformer and baseline models.</p>
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22 pages, 3675 KiB  
Article
Dynamic Anomaly Detection in the Chinese Energy Market During Financial Turbulence Using Ratio Mutual Information and Crude Oil Price Movements
by Lin Xiao and Arash Sioofy Khoojine
Energies 2024, 17(23), 5852; https://doi.org/10.3390/en17235852 - 22 Nov 2024
Viewed by 429
Abstract
Investigating the stability of and fluctuations in the energy market has long been of interest to researchers and financial market participants. This study aimed to analyze the Chinese energy market, focusing on its volatility and response to financial tensions. For this purpose, data [...] Read more.
Investigating the stability of and fluctuations in the energy market has long been of interest to researchers and financial market participants. This study aimed to analyze the Chinese energy market, focusing on its volatility and response to financial tensions. For this purpose, data from eight major financial companies, which were selected based on their market share in Shanghai’s and Shenzhen’s financial markets, were collected from January 2014 to December 2023. In this study, stock prices and trading volumes were used as the key variables to build bootstrap-based minimum spanning trees (BMSTs) using ratio mutual information (RMI). Then, using the sliding window procedure, the major network characteristics were derived to create an anomaly-detection tool using the multivariate exponentially weighted moving average (MEWMA), along with the Brent crude oil price index as a benchmark and a global oil price indicator. This framework’s stability was evaluated through stress testing with five scenarios designed for this purpose. The results demonstrate that during periods of high oil price volatility, such as during the turbulence in the stock market in 2015 and the COVID-19 pandemic in 2020, the network topologies became more centralized, which shows that the market’s instability increased. This framework successfully identifies anomalies and proves to be a valuable tool for market players and policymakers in evaluating companies that are active in the energy sector and predicting possible instabilities, which could be useful in monitoring financial markets and improving decision-making processes in the energy sector. In addition, the integration of other macroeconomic factors into this field could strengthen the identification of anomalies and be considered a field for possible research. Full article
(This article belongs to the Section C: Energy Economics and Policy)
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<p>Time series of stock prices and the traded volumes of the eight energy-related companies in the Chinese stock market from 2014 to 2023.</p>
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<p>Price–volume ratios of the eight selected companies from 2014 to 2023.</p>
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<p>Stock returns and traded volumes for the eight companies from 2014 to 2023.</p>
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<p>Fluctuations in the <math display="inline"><semantics> <msub> <mi>d</mi> <mn>1</mn> </msub> </semantics></math>, <math display="inline"><semantics> <msub> <mi>d</mi> <mn>2</mn> </msub> </semantics></math>, and <math display="inline"><semantics> <msub> <mi>d</mi> <mn>3</mn> </msub> </semantics></math> norms in stock prices and volumes of the eight selected energy companies from 2014 to 2023.</p>
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<p>Bar plot illustrating the network characteristics—node degree, node strength, eigenvalue centrality, and closeness centrality—of the BMSTs constructed from the critical windows.</p>
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<p>Bar plot illustrating the communicability scores of the BMSTs constructed from the five critical windows: 29, 59, 850, 880, and 953.</p>
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<p>Bootstrapped-based Minimum Spanning Trees of the critical Windows 29, 59, 850, 880, and 953, with reliability scores as edge weights.</p>
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<p>Circular layout of the bootstrapped-based minimum spanning trees: pre-turbulence, turbulence, and post-turbulence in windows 28, 29, and 30.</p>
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<p>Movement of Brent crude oil price from 2014 to 2023 with the critical periods highlighted.</p>
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<p>The MEWMA statistic over the period of time for Window 29 with its upper and lower control limits shown as dashed lines.</p>
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15 pages, 6826 KiB  
Article
Forecasting Crude Oil Price Using Multiple Factors
by Hind Aldabagh, Xianrong Zheng, Mohammad Najand and Ravi Mukkamala
J. Risk Financial Manag. 2024, 17(9), 415; https://doi.org/10.3390/jrfm17090415 - 19 Sep 2024
Viewed by 2064
Abstract
In this paper, we predict crude oil price using various factors that may influence its price. The factors considered are physical market, financial, and trading market factors, including seven key factors and the dollar index. Firstly, we select the main factors that may [...] Read more.
In this paper, we predict crude oil price using various factors that may influence its price. The factors considered are physical market, financial, and trading market factors, including seven key factors and the dollar index. Firstly, we select the main factors that may greatly influence the prices. Then, we develop a hybrid model based on a convolutional neural network (CNN) and long short-term memory (LSTM) network to predict the prices. Lastly, we compare the CNN–LSTM model with other models, namely gradient boosting (GB), decision trees (DTs), random forests (RFs), neural networks (NNs), CNN, LSTM, and bidirectional LSTM (Bi–LSTM). The empirical results show that the CNN–LSTM model outperforms these models. Full article
(This article belongs to the Section Financial Technology and Innovation)
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<p>Factors influencing crude oil prices.</p>
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<p>Saudi production (blue) and WTI production percentage changes (red).</p>
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<p>OPEC spare capacity (blue) and WTI crude oil prices (red).</p>
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<p>Non-OPEC production changes (blue) and WTI crude oil prices (red).</p>
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<p>World production change (blue) and WTI crude oil prices (red).</p>
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<p>World production change (orange), non-OPEC production change (green), Saudi production change (blue) and WTI crude oil prices (red).</p>
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<p>OECD consumption change (blue) and WTI crude oil prices (red).</p>
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<p>Non-OECD consumption change (blue) and their GDP percentage growth (red).</p>
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<p>World consumption change (blue) and WTI price (red).</p>
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<p>World consumption change (orange), OECD consumption change (blue), non-OECD consumption change (green) and WTI crude oil prices (red).</p>
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<p>US dollar index (2002–2023).</p>
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<p>The tree-based representation of random forests.</p>
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<p>The XGBoost architecture.</p>
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<p>The actual versus the predicted oil price without preprocessing and the dollar index.</p>
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<p>The actual versus the predicted oil price with the dollar index but no preprocessing.</p>
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<p>The actual versus the predicted oil price using preprocessing and the dollar index.</p>
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13 pages, 2529 KiB  
Article
Forecasting Container Throughput of Singapore Port Considering Various Exogenous Variables Based on SARIMAX Models
by Geun-Cheol Lee and June-Young Bang
Forecasting 2024, 6(3), 748-760; https://doi.org/10.3390/forecast6030038 - 30 Aug 2024
Viewed by 1219
Abstract
In this study, we propose a model to forecast container throughput for the Singapore port, one of the busiest ports globally. Accurate forecasting of container throughput is critical for efficient port operations, strategic planning, and maintaining a competitive advantage. Using monthly container throughput [...] Read more.
In this study, we propose a model to forecast container throughput for the Singapore port, one of the busiest ports globally. Accurate forecasting of container throughput is critical for efficient port operations, strategic planning, and maintaining a competitive advantage. Using monthly container throughput data of the Singapore port from 2010 to 2021, we develop a Seasonal Autoregressive Integrated Moving Average with Exogenous Variables (SARIMAX) model. For the exogenous variables included in the SARIMAX model, we consider the West Texas Intermediate (WTI) crude oil price and China’s export volume, alongside the impact of the COVID-19 pandemic measured through global confirmed cases. The predictive performance of the SARIMAX model was evaluated against a diverse set of benchmark methods, including the Holt–Winters method, linear regression, LASSO regression, Ridge regression, ECM (Error Correction Mechanism), Support Vector Regressor (SVR), Random Forest, XGBoost, LightGBM, Long Short-Term Memory (LSTM) networks, and Prophet. This comparative analysis was conducted by forecasting container throughput for the year 2022. Results indicated that the SARIMAX model, particularly when incorporating WTI prices and China’s export volume, outperformed other models in terms of forecasting accuracy, such as Mean Absolute Percentage Error (MAPE). Full article
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<p>Monthly Container Throughput of Singapore Port from 1995 to 2021. Source: Data from the Singapore Department of Statistics.</p>
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<p>Trends of Singapore container throughput vs. external factors from after the financial crisis: (<b>a</b>) container throughput vs. West Texas Intermediate (WTI) price (Unit: USD); (<b>b</b>) container throughput vs. China’s export volume (Unit: USD). Source: Data from the Singapore Department of Statistics, the U.S. Energy Information Administration, and the Federal Reserve Bank of St. Louis.</p>
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<p>Container throughput vs. world COVID-19 confirmed cases from 2020 to 2021. Source: Data from the Singapore Department of Statistics and the WHO COVID-19 Dashboard.</p>
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<p>Partial Autocorrelation Function graph of the double differenced time series. Source: own elaboration based on data from the Singapore Department of Statistics.</p>
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<p>Autocorrelation Function graph of the double differenced time series. Source: own elaboration based on data from the Singapore Department of Statistics.</p>
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<p>Actual Container Throughput vs. Forecasts by four Models in 2022. Source: Data from the Singapore Department of Statistics and own elaboration based on the data tested in this study.</p>
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20 pages, 933 KiB  
Article
Improving Volatility Forecasting: A Study through Hybrid Deep Learning Methods with WGAN
by Adel Hassan A. Gadhi, Shelton Peiris and David E. Allen
J. Risk Financial Manag. 2024, 17(9), 380; https://doi.org/10.3390/jrfm17090380 - 23 Aug 2024
Viewed by 929
Abstract
This paper examines the predictive ability of volatility in time series and investigates the effect of tradition learning methods blending with the Wasserstein generative adversarial network with gradient penalty (WGAN-GP). Using Brent crude oil returns price volatility and environmental temperature for the city [...] Read more.
This paper examines the predictive ability of volatility in time series and investigates the effect of tradition learning methods blending with the Wasserstein generative adversarial network with gradient penalty (WGAN-GP). Using Brent crude oil returns price volatility and environmental temperature for the city of Sydney in Australia, we have shown that the corresponding forecasts have improved when combined with WGAN-GP models (i.e., ANN-(WGAN-GP), LSTM-ANN-(WGAN-GP) and BLSTM-ANN (WGAN-GP)). As a result, we conclude that incorporating with WGAN-GP will’ significantly improve the capabilities of volatility forecasting in standard econometric models and deep learning techniques. Full article
(This article belongs to the Section Financial Markets)
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<p>Flowchart for the Data Analysis Process.</p>
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<p>Daily Brent Oil Price (2012–2022).</p>
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<p>Oil Price Returns from 2012 to 2022.</p>
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<p>Autocorrelation Function (ACF) for Oil Price return Data.</p>
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<p>Partial Autocorrelation Function (PACF) for Oil Price Data.</p>
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<p>Oil Price Returns.</p>
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<p>Temperature Over Time in Sydney, Australia (2013–2023).</p>
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<p>Autocorrelation Function (ACF) for Temperature Data.</p>
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<p>Partial Autocorrelation Function (PACF) for Temperature Data.</p>
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<p>Annualized Temperature Data.</p>
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<p>Standardized residuals and annualized conditional volatility.</p>
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25 pages, 6639 KiB  
Article
Linear Ensembles for WTI Oil Price Forecasting
by João Lucas Ferreira dos Santos, Allefe Jardel Chagas Vaz, Yslene Rocha Kachba, Sergio Luiz Stevan, Thiago Antonini Alves and Hugo Valadares Siqueira
Energies 2024, 17(16), 4058; https://doi.org/10.3390/en17164058 - 15 Aug 2024
Cited by 1 | Viewed by 642
Abstract
This paper investigated the use of linear models to forecast crude oil futures prices (WTI) on a monthly basis, emphasizing their importance for financial markets and the global economy. The main objective was to develop predictive models using time series analysis techniques, such [...] Read more.
This paper investigated the use of linear models to forecast crude oil futures prices (WTI) on a monthly basis, emphasizing their importance for financial markets and the global economy. The main objective was to develop predictive models using time series analysis techniques, such as autoregressive (AR), autoregressive moving average (ARMA), autoregressive integrated moving average (ARIMA), as well as ARMA variants adjusted by genetic algorithms (ARMA-GA) and particle swarm optimization (ARMA-PSO). Exponential smoothing techniques, including SES, Holt, and Holt-Winters, in additive and multiplicative forms, were also covered. The models were integrated using ensemble techniques, by the mean, median, Moore-Penrose pseudo-inverse, and weighted averages with GA and PSO. The methodology adopted included pre-processing that applied techniques to ensure the stationarity of the data, which is essential for reliable modeling. The results indicated that for one-step-ahead forecasts, the weighted average ensemble with PSO outperformed traditional models in terms of error metrics. For multi-step forecasts (3, 6, 9 and 12), the ensemble with the Moore-Penrose pseudo-inverse showed better results. This study has shown the effectiveness of combining predictive models to forecast future values in WTI oil prices, offering a useful tool for analysis and applications. However, it is possible to expand the idea of applying linear models to non-linear models. Full article
(This article belongs to the Section C: Energy Economics and Policy)
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<p>Non-trainable Ensemble Flowchart.</p>
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<p>Trainable Ensemble Flowchart.</p>
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<p>Stages for Forecasts with Linear Models and <span class="html-italic">Ensemble</span>.</p>
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<p>WTI Crude Oil Price.</p>
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<p>Autocorrelation and Partial Autocorrelation.</p>
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<p><span class="html-italic">Ensemble</span> 5 Forecasts One-Step Ahead and Errors.</p>
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<p><span class="html-italic">Ensemble</span> 3 Forecasts Three-Steps Ahead and Errors.</p>
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<p><span class="html-italic">Ensemble 3</span> Forecasts Six-Steps Ahead and Errors.</p>
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<p><span class="html-italic">Ensemble 3</span> Forecasts Nine-Steps Ahead and Errors.</p>
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<p><span class="html-italic">Ensemble 3</span> Forecasts Twelve-Steps Ahead and Errors.</p>
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<p>Fitness of the ARMA-A Model.</p>
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<p>Fitness of the ARMA-PSO Model.</p>
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<p><span class="html-italic">Fitness</span> of the Ensemble 4—GA Model.</p>
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<p><span class="html-italic">Fitness</span> of the Ensemble 5—PSO Model.</p>
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<p>Model Dispersion.</p>
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13 pages, 1769 KiB  
Article
Modelling and Forecasting Crude Oil Prices Using Trend Analysis in a Binary-Temporal Representation
by Michał Dominik Stasiak and Żaneta Staszak
Energies 2024, 17(14), 3361; https://doi.org/10.3390/en17143361 - 9 Jul 2024
Viewed by 1057
Abstract
The oil market is one of the most important markets for the global economy. Often, oil prices influence the financial results of whole countries and sectors. Therefore, the modeling and prediction of crude oil prices are of high importance. Most up-to-date publications have [...] Read more.
The oil market is one of the most important markets for the global economy. Often, oil prices influence the financial results of whole countries and sectors. Therefore, the modeling and prediction of crude oil prices are of high importance. Most up-to-date publications have used daily closing rates in crude oil price modeling, not considering the variability in prices during the day. The application of this kind of price representation leads to a loss of information about the range of price changes during the day, which influences the accuracy of the models and makes them useless in short-term course predictions. In this paper, we introduce the concept of a new state model in a binary-temporal representation, which uses trend analysis, which is one of the main methods used in the prediction of the direction of future changes in the course trajectory. The model described in this paper stands as the first tool that allows for predicting course changes in a given range. The presented work also summarizes the research results of modeling crude oil prices from the last six years, which prove the effectiveness of the mentioned modeling method. Full article
(This article belongs to the Special Issue Public Policies and Development of Renewable Energy 2023)
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<p>An example of tick data’s conversion into a binary-temporal representation for the crude oil course for <math display="inline"><semantics> <mrow> <mi>δ</mi> <mo>=</mo> </mrow> </semantics></math>10 pips. Source: authors.</p>
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<p>Graph of transition process for market states in SMBR(100, 3) model. Source: authors.</p>
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<p>Graph of change process for model SMBT(100, 1, 10, 6, 600, 4). Source: authors.</p>
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<p>Backtest results (with trend line) of the algorithmic trading system using the trend model during the period 1 January 2021–1 January 2024. Source: authors.</p>
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<p>Backtest results (with trend line) of “buy and hold” during the period of 1 January 2021–1 January 2024. Source: authors.</p>
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19 pages, 911 KiB  
Article
Exploring the Relationship and Predictive Accuracy for the Tadawul All Share Index, Oil Prices, and Bitcoin Using Copulas and Machine Learning
by Sara Ali Alokley, Sawssen Araichi and Gadir Alomair
Energies 2024, 17(13), 3241; https://doi.org/10.3390/en17133241 - 1 Jul 2024
Viewed by 901
Abstract
Financial markets are increasingly interlinked. Therefore, this study explores the complex relationships between the Tadawul All Share Index (TASI), West Texas Intermediate (WTI) crude oil prices, and Bitcoin (BTC) returns, which are pivotal to informed investment and risk-management decisions. Using copula-based models, this [...] Read more.
Financial markets are increasingly interlinked. Therefore, this study explores the complex relationships between the Tadawul All Share Index (TASI), West Texas Intermediate (WTI) crude oil prices, and Bitcoin (BTC) returns, which are pivotal to informed investment and risk-management decisions. Using copula-based models, this study identified Student’s t copula as the most appropriate one for encapsulating the dependencies between TASI and BTC and between TASI and WTI prices, highlighting significant tail dependencies. For the BTC–WTI relationship, the Frank copula was found to have the best fit, indicating nonlinear correlation without tail dependence. The predictive power of the identified copulas were compared to that of Long Short-Term Memory (LSTM) networks. The LSTM models demonstrated markedly lower Root Mean Squared Error (RMSE), Mean Absolute Error (MAE), and Mean Absolute Scaled Error (MASE) across all assets, indicating higher predictive accuracy. The empirical findings of this research provide valuable insights for financial market participants and contribute to the literature on asset relationship modeling. By revealing the most effective copulas for different asset pairs and establishing the robust forecasting capabilities of LSTM networks, this paper sets the stage for future investigations of the predictive modeling of financial time-series data. The study highlights the potential of integrating machine-learning techniques with traditional econometric models to improve investment strategies and risk-management practices. Full article
(This article belongs to the Section C: Energy Economics and Policy)
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<p>Log returns of TASI for the period from 17 September 2014 to 5 June 2023.</p>
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<p>Log returns of WTI index for the period from 17 September 2014 to 5 June 2023.</p>
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<p>Log returns of Bitcoin index for the period from 17 September 2014 to 5 June 2023.</p>
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<p>Student’s copula density of the TASI and BTC.</p>
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<p>Student’s copula density of the TASI and WTI.</p>
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<p>Frank copula density of the BTC and WTI.</p>
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<p>Forecasted values with the test data of the TASI returns.</p>
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<p>Forecasted values with the test data of the BTC returns.</p>
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<p>Forecasted values with the test data of the WTI returns.</p>
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<p>The training TASI returns with the forecasted values.</p>
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<p>The training BTC returns with the forecasted values.</p>
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<p>The training WTI returns with the forecasted values.</p>
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19 pages, 1046 KiB  
Article
Mean-Reverting Statistical Arbitrage Strategies in Crude Oil Markets
by Viviana Fanelli
Risks 2024, 12(7), 106; https://doi.org/10.3390/risks12070106 - 25 Jun 2024
Cited by 1 | Viewed by 4003 | Correction
Abstract
In this paper, we introduce the concept of statistical arbitrage through the definition of a mean-reverting trading strategy that captures persistent anomalies in long-run relationships among assets. We model the statistical arbitrage proceeding in three steps: (1) to identify mispricings in the chosen [...] Read more.
In this paper, we introduce the concept of statistical arbitrage through the definition of a mean-reverting trading strategy that captures persistent anomalies in long-run relationships among assets. We model the statistical arbitrage proceeding in three steps: (1) to identify mispricings in the chosen market, (2) to test mean-reverting statistical arbitrage, and (3) to develop statistical arbitrage trading strategies. We empirically investigate the existence of statistical arbitrage opportunities in crude oil markets. In particular, we focus on long-term pricing relationships between the West Texas Intermediate crude oil futures and a so-called statistical portfolio, composed by other two crude oils, Brent and Dubai. Firstly, the cointegration regression is used to track the persistent pricing equilibrium between the West Texas Intermediate crude oil price and the statistical portfolio value, and to identify mispricings between the two. Secondly, we verify that mispricing dynamics revert back to equilibrium with a predictable behaviour, and we exploit this stylized fact by applying the trading rules commonly used in equity markets to the crude oil market. The trading performance is then measured by three specific profit indicators on out-of-sample data. Full article
(This article belongs to the Special Issue Portfolio Theory, Financial Risk Analysis and Applications)
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<p>Crack spread dynamics.</p>
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<p>Crude oil mispricing portfolio.</p>
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<p>Mispricing autocorrelation function (ACF) and partial autocorrelation Function (PACF).</p>
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<p>Variance ratio function.</p>
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<p>Trading rule example: the red line represents the trading rule in Equation (<a href="#FD9-risks-12-00106" class="html-disp-formula">9</a>) with parameter <math display="inline"> <semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>0.33</mn></mrow> </semantics> </math>; it gives signals for trading the mispricing given by the blue line.</p>
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<p>Trading signal comparison: the blue line represents the dynamics of the trading rule in Equation (<a href="#FD9-risks-12-00106" class="html-disp-formula">9</a>) with parameter <math display="inline"> <semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>0.33</mn></mrow> </semantics> </math>; the red line describes the dynamics of the trading rule in Equation (<a href="#FD10-risks-12-00106" class="html-disp-formula">10</a>) with parameters <math display="inline"> <semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>0.33</mn></mrow> </semantics> </math> and <math display="inline"> <semantics> <mrow> <mi>h</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics> </math>; the green line represents the dynamics of the trading rule in Equation (<a href="#FD11-risks-12-00106" class="html-disp-formula">11</a>) with parameters <math display="inline"> <semantics> <mrow> <mi>K</mi> <mo>=</mo> <mn>0.33</mn></mrow> </semantics> </math>, <math display="inline"> <semantics> <mrow> <mi>h</mi> <mo>=</mo> <mn>5</mn> </mrow> </semantics> </math>, and <math display="inline"> <semantics> <mrow> <mi>O</mi> <mo>=</mo> <mn>0.8</mn></mrow> </semantics> </math>.</p>
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<p>Total return function comparison: three cumulative profit functions given by Formula (<a href="#FD13-risks-12-00106" class="html-disp-formula">13</a>) are shown according to different values of parameter <span class="html-italic">k</span> of the strategy in Equation (<a href="#FD9-risks-12-00106" class="html-disp-formula">9</a>).</p>
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<p>Optimal trading strategy: the surface represents the total return, given by Formula (<a href="#FD13-risks-12-00106" class="html-disp-formula">13</a>), of the strategy in Equation (<a href="#FD11-risks-12-00106" class="html-disp-formula">11</a>); the parameter <span class="html-italic">k</span> varies between 0 and 1 and the parameter <span class="html-italic">O</span> varies between 0 and <math display="inline"> <semantics> <mrow> <mn>0.75</mn></mrow> </semantics> </math>; transaction cost percentage is <math display="inline"> <semantics> <mrow> <mn>0.25</mn><mo>%</mo> </mrow> </semantics> </math>.</p>
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24 pages, 4197 KiB  
Article
Investigating the Impact of Agricultural, Financial, Economic, and Political Factors on Oil Forward Prices and Volatility: A SHAP Analysis
by Hyeon-Seok Kim, Hui-Sang Kim and Sun-Yong Choi
Energies 2024, 17(5), 1001; https://doi.org/10.3390/en17051001 - 21 Feb 2024
Cited by 1 | Viewed by 1433
Abstract
Accurately forecasting crude oil prices is crucial due to its vital role in the industrial economy. In this study, we explored the multifaceted impact of various financial, economic, and political factors on the forecasting of crude oil forward prices and volatility. We used [...] Read more.
Accurately forecasting crude oil prices is crucial due to its vital role in the industrial economy. In this study, we explored the multifaceted impact of various financial, economic, and political factors on the forecasting of crude oil forward prices and volatility. We used various machine learning models to forecast oil forward prices and volatility based on their superior predictive power. Furthermore, we employed the SHAP framework to analyze individual features to identify their contributions in terms of the prediction. According to our findings, factors contributing to oil forward prices and volatility can be summarized into four key focal outcomes. First, it was confirmed that soybean forward pricing overwhelmingly contributes to oil forward pricing predictions. Second, the SSEC is the second-largest contributor to oil forward pricing predictions, surpassing the contributions of the S&P 500 or oil volatility. Third, the contribution of oil forward prices is the highest in predicting oil volatility. Lastly, the contribution of the DXY significantly influences both oil forward price and volatility predictions, with a particularly notable impact on oil volatility predictions. In summary, through the SHAP framework, we identified that soybean forward prices, the SSEC, oil volatility, and the DXY are the primary contributors to oil forward price predictions, while oil forward prices, the S&P 500, and the DXY are the main contributors to oil volatility predictions. These research findings provide valuable insights into the most-influential factors for predicting oil forward prices and oil volatility, laying the foundation for informed investment decisions and robust risk-management strategies. Full article
(This article belongs to the Special Issue Feature Papers in Energy Economics and Policy)
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<p>The figure displays forward prices for oil and three agricultural commodities from 27 July 2012, to 27 July 2022. Oil prices are shown on the right y-axis, while agricultural commodity prices are on the left.</p>
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<p>The figure illustrates stock indices data for America, China, the EU, and Japan. The y-axis is split, with the Nikkei225 index on the right and the other three indices on the left.</p>
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<p>The figure depicts the performance of the dollar and euro indices.</p>
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<p>The figure shows the U.S. EPU and GPR indices and their actual values.</p>
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<p>The flowchart of the research design.</p>
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<p>The predicted oil forward prices and volatility with actual values.</p>
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<p>SHAP feature importance and summary of the forecasting results for oil forwards by the selected machine learning models.</p>
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<p>SHAP feature importance and summary of the forecasting results for oil volatility by the selected machine learning models.</p>
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18 pages, 1106 KiB  
Article
A Supply Chain-Oriented Model to Predict Crude Oil Import Prices in South Korea Based on the Hybrid Approach
by Jisung Jo, Umji Kim, Eonkyung Lee, Juhyang Lee and Sewon Kim
Sustainability 2023, 15(24), 16725; https://doi.org/10.3390/su152416725 - 11 Dec 2023
Cited by 2 | Viewed by 2312
Abstract
Although numerous studies have explored key variables for forecasting crude oil prices, the role of supply chain factors has often been overlooked. In the face of global risks such as COVID-19, the Russia–Ukraine war, and the U.S.–China trade dispute, supply chain management (SCM) [...] Read more.
Although numerous studies have explored key variables for forecasting crude oil prices, the role of supply chain factors has often been overlooked. In the face of global risks such as COVID-19, the Russia–Ukraine war, and the U.S.–China trade dispute, supply chain management (SCM) has evolved beyond an individual company’s concern. This research investigates the impact of a supply chain-oriented variable on the forecasting of crude oil import prices in South Korea. Our findings reveal that models incorporating the Global Supply Chain Pressure Index (GSCPI) outperform those without it, emphasizing the importance of monitoring supply chain-related variables for stabilizing domestic prices for policy makers. Additionally, we propose a novel hybrid factor-based approach that integrates time series and machine learning models to enhance the prediction performance of oil prices. This endeavor is poised to serve as a foundational step toward developing methodologically sound forecasting models for oil prices, offering valuable insights for policymakers. Full article
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<p>Schematic diagram of research.</p>
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<p>Random forest structure.</p>
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22 pages, 11557 KiB  
Article
A Hybrid Deep Learning Approach for Crude Oil Price Prediction
by Hind Aldabagh, Xianrong Zheng and Ravi Mukkamala
J. Risk Financial Manag. 2023, 16(12), 503; https://doi.org/10.3390/jrfm16120503 - 6 Dec 2023
Cited by 3 | Viewed by 3956
Abstract
Crude oil is one of the world’s most important commodities. Its price can affect the global economy, as well as the economies of importing and exporting countries. As a result, forecasting the price of crude oil is essential for investors. However, crude oil [...] Read more.
Crude oil is one of the world’s most important commodities. Its price can affect the global economy, as well as the economies of importing and exporting countries. As a result, forecasting the price of crude oil is essential for investors. However, crude oil price tends to fluctuate considerably during significant world events, such as the COVID-19 pandemic and geopolitical conflicts. In this paper, we propose a deep learning model for forecasting the crude oil price of one-step and multi-step ahead. The model extracts important features that impact crude oil prices and uses them to predict future prices. The prediction model combines convolutional neural networks (CNN) with long short-term memory networks (LSTM). We compared our one-step CNN–LSTM model with other LSTM models, the CNN model, support vector machine (SVM), and the autoregressive integrated moving average (ARIMA) model. Also, we compared our multi-step CNN–LSTM model with LSTM, CNN, and the time series encoder–decoder model. Extensive experiments were conducted using short-, medium-, and long-term price data of one, five, and ten years, respectively. In terms of accuracy, the proposed model outperformed existing models in both one-step and multi-step predictions. Full article
(This article belongs to the Special Issue Financial Technologies (Fintech) in Finance and Economics)
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<p>Calculation of the output <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>v</mi> </mrow> <mrow> <mn>1,1</mn> </mrow> </msub> </mrow> </semantics></math> by applying a convolution filter <math display="inline"><semantics> <mrow> <mi>F</mi> <mo>×</mo> <mi>F</mi> </mrow> </semantics></math> to an input layer represented by the <math display="inline"><semantics> <mrow> <mi>N</mi> <mo>×</mo> <mi>N</mi> </mrow> </semantics></math> matrix.</p>
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<p>An unrolled recurrent neural network.</p>
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<p>One memory cell of a long short-term memory network.</p>
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<p>The proposed hybrid model.</p>
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<p>The vector output LSTM model.</p>
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<p>The encoder–decoder LSTM model.</p>
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<p>Daily crude oil prices for the long-term period.</p>
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<p>Daily crude oil prices for the medium-term period.</p>
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<p>Daily crude oil prices for the short-term period.</p>
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<p>The training and testing data for long-, medium-, and short-term datasets.</p>
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<p>The actual versus the predicted oil price using the hybrid model on the long-term dataset.</p>
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<p>The actual versus the predicted oil price using the hybrid model on the medium-term dataset.</p>
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<p>The actual versus the predicted oil price using the hybrid model on the short-term dataset.</p>
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<p>(<b>a</b>) Simple moving average of the actual prices versus the predicted prices on the short-term dataset. (<b>b</b>) Simple moving average of the actual prices versus the predicted prices on medium-term dataset.</p>
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<p>Simple moving average of the actual prices versus the predicted prices on the long-term dataset with an enlarged view of six time-intervals.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the long-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder model on the long-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the long-term dataset for the t+7 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder LSTM model on the long-term dataset for the t+7 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the medium-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder model on the medium-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the medium-term dataset for the t+7 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder LSTM model on the medium-term dataset for the t+7 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the short-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder model on the short-term dataset for the t+1 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the vector output CNN–LSTM model on the short-term dataset for the t+7 day price prediction.</p>
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<p>The actual versus the predicted oil price, using the encoder–decoder LSTM model on the short-term dataset for the t+7 day price prediction.</p>
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19 pages, 5995 KiB  
Article
Monitoring and Preventing Failures of Transmission Pipelines at Oil and Natural Gas Plants
by Dariusz Bęben and Teresa Steliga
Energies 2023, 16(18), 6640; https://doi.org/10.3390/en16186640 - 15 Sep 2023
Cited by 5 | Viewed by 2305
Abstract
In recent years, the increase in energy prices and demand has been driven by the post-pandemic economic recovery. Of the various energy sources, oil and natural gas remain the most important source of energy production and consumption after coal. Oil and gas pipelines [...] Read more.
In recent years, the increase in energy prices and demand has been driven by the post-pandemic economic recovery. Of the various energy sources, oil and natural gas remain the most important source of energy production and consumption after coal. Oil and gas pipelines are a key component of the overall energy infrastructure, transporting oil and gas from mines to end users, so the reliability and safety of these pipelines is critical. The oil and gas industry incurs large expenses for the removal of failures related to, among others, corrosion of pipelines caused by the presence of Hg, CO2 H2S, carbonates and chlorides in reservoir waters. Therefore, pipeline operators must constantly monitor and prevent corrosion. Corrosion failure losses are a major motivation for the oil and gas industry to develop accurate monitoring models using non-destructive NDT methods based on test results and failure frequency observations. Observing the locations of frequent pipeline failures and monitoring and applying corrosion protection to pipelines play an important role in reducing failure rates and ultimately increasing the economic and safety performance of pipelines. Monitoring and prevention efforts support the decision-making process in the oil and gas industry by predicting failures and determining the timing of maintenance or replacement of corroded pipelines. We have presented methods of prevention through the use of corrosion inhibitors in crude oil and natural gas transmission pipelines, as well as various factors that influence their application. In this article, a review of corrosion rate monitoring systems is conducted, and a range of control and monitoring scenarios is proposed. This knowledge will aid scientists and practitioners in prioritizing their policies, not only to choose the appropriate monitoring technique but also to enhance corrosion protection effectiveness. Full article
(This article belongs to the Special Issue Fundamentals of Enhanced Oil Recovery II)
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<p>Pipe fragments illustrating general and pitting corrosion.</p>
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<p>Pipeline fragment illustrating pitting corrosion.</p>
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<p>Corrosion monitoring system using a probe and ultrasonic waves.</p>
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<p>Corrosion areas in the I-1 well zone.</p>
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<p>A segment of an elbow from the I-1 well zone with visible pitting and general corrosion.</p>
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<p>Topography of the surface of the pipe segment in the form of flakes where the mercury content is 33.7%.</p>
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<p>Microstructure of the steel substrate and scale of the sample (magnification 250×). Visible fine-grained pearlite-ferrite structure in the substrate and numerous signs of deep pitting corrosion.</p>
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<p>The layer of corrosion products adheres to the metal substrate.</p>
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<p>Probe readings at site I during the test without an inhibitor (background).</p>
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<p>Probe readings at site I during inhibitor dosing (test).</p>
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<p>Segment of the extraction pipe using a corrosion inhibitor, with the location of the protective layer thickness test marked.</p>
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<p>An image from a scanning electron microscope of the surface of corrosion products and the corrosion inhibitor layer.</p>
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<p>Surface profile of the measured segment under a scanning electron microscope (5× magnification) [<a href="#B29-energies-16-06640" class="html-bibr">29</a>].</p>
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<p>Image of inhibitor layer A.</p>
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<p>Metal substrate without the inhibitor.</p>
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19 pages, 556 KiB  
Article
A New Forecasting Approach for Oil Price Using the Recursive Decomposition–Reconstruction–Ensemble Method with Complexity Traits
by Fang Wang, Menggang Li and Ruopeng Wang
Entropy 2023, 25(7), 1051; https://doi.org/10.3390/e25071051 - 12 Jul 2023
Cited by 1 | Viewed by 1486
Abstract
The subject of oil price forecasting has obtained an incredible amount of interest from academics and policymakers in recent years due to the widespread impact that it has on various economic fields and markets. Thus, a novel method based on decomposition–reconstruction–ensemble for crude [...] Read more.
The subject of oil price forecasting has obtained an incredible amount of interest from academics and policymakers in recent years due to the widespread impact that it has on various economic fields and markets. Thus, a novel method based on decomposition–reconstruction–ensemble for crude oil price forecasting is proposed. Based on the Complete Ensemble Empirical Mode Decomposition with Adaptive Noise (CEEMDAN) technique, in this paper we construct a recursive CEEMDAN decomposition–reconstruction–ensemble model considering the complexity traits of crude oil data. In this model, the steps of mode reconstruction, component prediction, and ensemble prediction are driven by complexity traits. For illustration and verification purposes, the West Texas Intermediate (WTI) and Brent crude oil spot prices are used as the sample data. The empirical result demonstrates that the proposed model has better prediction performance than the benchmark models. Thus, the proposed recursive CEEMDAN decomposition–reconstruction–ensemble model can be an effective tool to forecast oil price in the future. Full article
(This article belongs to the Special Issue Complex Systems Approach to Social Dynamics)
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<p>General framework of the recursive CEEMDAN decomposition–reconstruction–ensemble methodology.</p>
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<p>CEEMDAN decomposition results of the WTI crude oil prices (dollars per barrel).</p>
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<p>CEEMDAN decomposition results of the Brent crude oil prices (dollars per barrel).</p>
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<p>Performance comparison of different models for WTI crude oil price forecasting.</p>
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<p>Performance comparison of different models for Brent crude oil price forecasting.</p>
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30 pages, 14674 KiB  
Review
Price, Complexity, and Mathematical Model
by Na Fu, Liyan Geng, Junhai Ma and Xue Ding
Mathematics 2023, 11(13), 2883; https://doi.org/10.3390/math11132883 - 27 Jun 2023
Cited by 1 | Viewed by 2416
Abstract
The whole world has entered the era of the Vuca. Some traditional methods of problem analysis begin to fail. Complexity science is needed to study and solve problems from the perspective of complex systems. As a complex system full of volatility and uncertainty, [...] Read more.
The whole world has entered the era of the Vuca. Some traditional methods of problem analysis begin to fail. Complexity science is needed to study and solve problems from the perspective of complex systems. As a complex system full of volatility and uncertainty, price fluctuations have attracted wide attention from researchers. Therefore, through a literature review, this paper analyzes the research on complex theories on price prediction. The following conclusions are drawn: (1) The price forecast receives widespread attention year by year, and the number of published articles also shows a rapid rising trend. (2) The hybrid model can achieve higher prediction accuracy than the single model. (3) The complexity of models is increasing. In the future, the more complex methods will be applied to price forecast, including AI technologies such as LLM. (4) Crude-oil prices and stock prices will continue to be the focus of research, with carbon prices, gold prices, Bitcoin, and others becoming new research hotspots. The innovation of this research mainly includes the following three aspects: (1) The whole analysis of all the articles on price prediction using mathematical models in the past 10 years rather than the analysis of a single field such as oil price or stock price. (2) Classify the research methods of price forecasting in different fields, and found the common problems of price forecasting in different fields (including data processing methods and model selection, etc.), which provide references for different researchers to select price forecasting models. (3) Use VOSviewer to analyze the hot words appearing in recent years according to the timeline, find the research trend, and provide references for researchers to choose the future research direction. Full article
(This article belongs to the Special Issue Mathematical Modeling in Economics, Ecology, and the Environment)
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Graphical abstract

Graphical abstract
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<p>DFN associated with different time series (image cited from Reference [<a href="#B11-mathematics-11-02883" class="html-bibr">11</a>]).</p>
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<p>Chaotic, bifurcation, and MLE of electricity prices (image cited from Reference [<a href="#B12-mathematics-11-02883" class="html-bibr">12</a>]).</p>
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<p>Literature screening criteria and results.</p>
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<p>Publications and citations from 2015 to 2023.</p>
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<p>Distribution of publication.</p>
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<p>Density visualization.</p>
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<p>Network visualization.</p>
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<p>Network of volatility.</p>
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<p>Network of the model.</p>
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<p>Network of time-series and algorithm.</p>
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<p>Network of forecasting and predication.</p>
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<p>Network of return, optimization, and risk.</p>
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<p>Network of options and option pricing.</p>
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<p>Network of crude oil and gold.</p>
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<p>Network of research methods.</p>
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<p>ML algorithms in price forecasting and their logical relationships.</p>
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<p>Illustration of the body look of the fruit fly and group iterative food searching of the fruit fly (image cited from Reference [<a href="#B56-mathematics-11-02883" class="html-bibr">56</a>]).</p>
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<p>Bubble-net feeding behavior of humpback whales (Image cited from Reference [<a href="#B58-mathematics-11-02883" class="html-bibr">58</a>]).</p>
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<p>The flowchart of the IVMD−OELM model (Image cited from Reference [<a href="#B76-mathematics-11-02883" class="html-bibr">76</a>]).</p>
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<p>The basic framework of Decomposition + Machine Learning.</p>
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<p>Framework of the VMD-MR-CFM approach (image cited from Reference [<a href="#B79-mathematics-11-02883" class="html-bibr">79</a>]).</p>
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<p>The basic framework of Decomposition + Regression + Machine Learning.</p>
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<p>Decomposition + Regression + Animal Algorithm + Machine Learning.</p>
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<p>Overlay visualization.</p>
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