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25 pages, 5319 KiB  
Article
Analysis and Prediction of PM2.5 Pollution in Madrid: The Use of Prophet–Long Short-Term Memory Hybrid Models
by Jesús Cáceres-Tello and José Javier Galán-Hernández
AppliedMath 2024, 4(4), 1428-1452; https://doi.org/10.3390/appliedmath4040076 (registering DOI) - 25 Nov 2024
Viewed by 137
Abstract
Particulate matter smaller than 2.5 μm (PM2.5) in Madrid is a critical concern due to its impacts on public health. This study employs advanced methodologies, including the CRISP-DM model and hybrid Prophet–Long Short-Term Memory (LSTM), to analyze historical data from monitoring stations and [...] Read more.
Particulate matter smaller than 2.5 μm (PM2.5) in Madrid is a critical concern due to its impacts on public health. This study employs advanced methodologies, including the CRISP-DM model and hybrid Prophet–Long Short-Term Memory (LSTM), to analyze historical data from monitoring stations and predict future PM2.5 levels. The results reveal a decreasing trend in PM2.5 levels from 2019 to mid-2024, suggesting the effectiveness of policies implemented by the Madrid City Council. However, the observed interannual fluctuations and peaks indicate the need for continuous policy adjustments to address specific events and seasonal variations. The comparison of local policies and those of the European Union underscores the importance of greater coherence and alignment to optimize the outcomes. Predictions made with the Prophet–LSTM model provide a solid foundation for planning and decision making, enabling urban managers to design more effective strategies. This study not only provides a detailed understanding of pollution patterns, but also emphasizes the need for adaptive environmental policies and citizen participation to improve air quality. The findings of this work can be of great assistance to environmental policymakers, providing a basis for future research and actions to improve air quality in Madrid. The hybrid Prophet–LSTM model effectively captured both seasonal trends and pollution spikes in PM2.5 levels. The predictions indicated a general downward trend in PM2.5 concentrations across most districts in Madrid, with significant reductions observed in areas such as Chamartín and Arganzuela. This hybrid approach improves the accuracy of long-term PM2.5 predictions by effectively capturing both short-term and long-term dependencies, making it a robust solution for air quality management in complex urban environments, like Madrid. The results suggest that the environmental policies implemented by the Madrid City Council are having a positive impact on air quality. Full article
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<p>Hazard of pollutant substances according to their health impact.</p>
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<p>(<b>a</b>) Number of publications related to “Madrid” and “PM2.5” per year. (<b>b</b>) Documents per year. (<b>c</b>) Documents by country or territory. Source: Scopus.</p>
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<p>Adaptation of the CRISP-DM model to our research.</p>
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<p>(<b>a</b>) Map of atmospheric monitoring stations in the city of Madrid. (<b>b</b>) Madrid districts that measure PM2.5.</p>
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<p>Stages of the data download and preprocessing process.</p>
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<p>Descriptive statistics of PM2.5 levels in the City of Madrid (2019–2024).</p>
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<p>Trends in PM2.5 levels in Madrid by district (2019–2023).</p>
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<p>Evolution of PM2.5 levels in the City of Madrid (2019–2024).</p>
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<p>Evolution of PM2.5 levels by district with the limit levels of the WHO, the EU, and Madrid City Council.</p>
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<p>PM2.5 levels in Madrid by district (2019–2024).</p>
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<p>Predictions of PM2.5 in Madrid using the Prophet–LSTM model.</p>
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<p>Predictions using Prophet–LSTM by districts.</p>
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17 pages, 435 KiB  
Article
Short-Term Predictions of the Trajectory of Mpox in East Asian Countries, 2022–2023: A Comparative Study of Forecasting Approaches
by Aleksandr Shishkin, Amanda Bleichrodt, Ruiyan Luo, Pavel Skums, Gerardo Chowell and Alexander Kirpich
Mathematics 2024, 12(23), 3669; https://doi.org/10.3390/math12233669 - 23 Nov 2024
Viewed by 296
Abstract
The 2022–2023 mpox outbreak exhibited an uneven global distribution. While countries such as the UK, Brazil, and the USA were most heavily affected in 2022, many Asian countries, specifically China, Japan, South Korea, and Thailand, experienced the outbreak later, in 2023, with significantly [...] Read more.
The 2022–2023 mpox outbreak exhibited an uneven global distribution. While countries such as the UK, Brazil, and the USA were most heavily affected in 2022, many Asian countries, specifically China, Japan, South Korea, and Thailand, experienced the outbreak later, in 2023, with significantly fewer reported cases relative to their populations. This variation in timing and scale distinguishes the outbreaks in these Asian countries from those in the first wave. This study evaluates the predictability of mpox outbreaks with smaller case counts in Asian countries using popular epidemic forecasting methods, including the ARIMA, Prophet, GLM, GAM, n-Sub-epidemic, and Sub-epidemic Wave frameworks. Despite the fact that the ARIMA and GAM models performed well for certain countries and prediction windows, their results were generally inconsistent and highly dependent on the country, i.e., the dataset, as well as the prediction interval length. In contrast, n-Sub-epidemic Ensembles demonstrated more reliable and robust performance across different datasets and predictions, indicating the effectiveness of this model on small datasets and its utility in the early stages of future pandemics. Full article
(This article belongs to the Special Issue Advances in Mathematical Biology and Applications)
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<p>Mpox weekly cases (weekly incidence) for China (<b>A</b>), Japan (<b>B</b>), South Korea (<b>C</b>), and Thailand (<b>D</b>) from 2 February 2023 to 28 December 2023. Weekly incidence predictions were issued for the dates that are in the highlighted area from 18 May 2023 to 30 November 2023.</p>
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<p>MSE of predictions across China, Japan, South Korea, and Thailand and four prediction horizons (1, 2, 3, and 4 weeks forward). Teal bars are the best metric for the particular combination of location and horizon, and dark orange bars are the models with the worst metrics. SW stands for Sub-epidemic Wave and SE for n-Sub-epidemic frameworks. Ranked models are singular models used for the ensembles.</p>
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<p>MAE of predictions across China, Japan, South Korea, and Thailand and four prediction horizons (1, 2, 3, and 4 weeks forward). Teal bars are the best metric for the particular combination of location and horizon, and dark orange bars are the models with the worst metrics. SW stands for Sub-epidemic Wave and SE for n-Sub-epidemic frameworks. Ranked models are singular models used for the ensembles.</p>
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<p>Coverage 95% Prediction Interval metrics across China, Japan, South Korea, and Thailand and four prediction horizons (1, 2, 3, and 4 weeks forward). Teal bars are the best metric for the particular combination of location and horizon, and dark orange bars are the models with the worst metric. SW stands for Sub-epidemic Wave and SE for n-Sub-epidemic frameworks. Ranked models are singular models used for the ensembles.</p>
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<p>WIS metrics for predictions across China, Japan, South Korea, and Thailand and four prediction horizons (1, 2, 3, and 4 weeks forward). The metric is on a logarithmic scale with a base of 10. Furthermore, all values were multiplied by 10, so no value would not go below 0. Teal bars are the best metric for the particular combination of location and horizon, and dark orange bars are the models with the worst metrics. SW stands for Sub-epidemic Wave and SE for n-Sub-epidemic frameworks. Ranked models are singular models used for the ensembles.</p>
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20 pages, 474 KiB  
Article
Forecasting Hydropower with Innovation Diffusion Models: A Cross-Country Analysis
by Farooq Ahmad, Livio Finos and Mariangela Guidolin
Forecasting 2024, 6(4), 1045-1064; https://doi.org/10.3390/forecast6040052 - 16 Nov 2024
Viewed by 328
Abstract
Hydroelectric power is one of the most important renewable energy sources in the world. It currently generates more electricity than all other renewable technologies combined and, according to the International Energy Agency, it is expected to remain the world’s largest source of renewable [...] Read more.
Hydroelectric power is one of the most important renewable energy sources in the world. It currently generates more electricity than all other renewable technologies combined and, according to the International Energy Agency, it is expected to remain the world’s largest source of renewable electricity generation into the 2030s. Thus, despite the increasing focus on more recent energy technologies, such as solar and wind power, it will continue to play a critical role in energy transition. The management of hydropower plants and future planning should be ensured through careful planning based on the suitable forecasting of the future of this energy source. Starting from these considerations, in this paper, we examine the evolution of hydropower with a forecasting analysis for a selected group of countries. We analyze the time-series data of hydropower generation from 1965 to 2023 and apply Innovation Diffusion Models, as well as other models such as Prophet and ARIMA, for comparison. The models are evaluated for different geographical regions, namely the North, South, and Central American countries, the European countries, and the Middle East with Asian countries, to determine their effectiveness in predicting trends in hydropower generation. The models’ accuracy is assessed using Mean Absolute Error (MAE), Root Mean Squared Error (RMSE), and Mean Absolute Percentage Error (MAPE). Through this analysis, we find that, on average, the GGM outperforms the Prophet and ARIMA models, and is more accurate than the Bass model. This study underscores the critical role of precise forecasting in energy planning and suggests further research to validate these results and explore other factors influencing the future of hydroelectric generation. Full article
(This article belongs to the Section Power and Energy Forecasting)
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<p>Hydroelectricity generation by selected countries.</p>
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<p>American countries: model fits and forecasting.</p>
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<p>European countries: model fits and forecasting.</p>
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<p>Asian and Middle East countries: model fits and forecasting.</p>
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24 pages, 30202 KiB  
Article
Mountain Landslide Monitoring Using a DS-InSAR Method Incorporating a Spatio-Temporal Atmospheric Phase Screen Correction Model
by Shipeng Guo, Xiaoqing Zuo, Jihong Zhang, Xu Yang, Cheng Huang and Xuefu Yue
Remote Sens. 2024, 16(22), 4228; https://doi.org/10.3390/rs16224228 - 13 Nov 2024
Viewed by 544
Abstract
The detection of potential rural mountain landslide displacements using time-series interferometric Synthetic Aperture Radar has been challenged by both atmospheric phase screens and decoherence noise. In this study, we propose the use of a combined distributed scatterer (DS) and the Prophet_ZTD-NEF model to [...] Read more.
The detection of potential rural mountain landslide displacements using time-series interferometric Synthetic Aperture Radar has been challenged by both atmospheric phase screens and decoherence noise. In this study, we propose the use of a combined distributed scatterer (DS) and the Prophet_ZTD-NEF model to rapidly map the landslide surface displacements in Diqing Tibetan Autonomous Prefecture, China. We conducted tests on 28 full-resolution SENTINEL-1A images to validate the effectiveness of our methods. The conclusions are as follows: (1) Under the same sample conditions, confidence interval estimation demonstrated higher performance in identifying SHPs compared to generalized likelihood ratio test. The density of DS points was approximately eight times and five times higher than persistent scatterer interferometry and small baseline subset methods, respectively. (2) The proposed Prophet_ZTD-NEF model considers the spatial and temporal variability properties of tropospheric delays, and the root mean square error of measured values was approximately 1.19 cm instead of 1.58 cm (PZTD-NEF). (3) The proposed Prophet_ZTD-NEF method reduced the mean standard deviation of the corrected interferograms from 1.88 to 1.62 cm and improved the accuracy of the deformation velocity solution by approximately 8.27% compared to Global Position System (GPS) measurements. Finally, we summarized the driving factors contributing to landslide instability. Full article
(This article belongs to the Section AI Remote Sensing)
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<p>Proposed TS-InSAR processing flowchart.</p>
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<p>Performance evaluation of different time-series models for fitting <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Z</mi> <mi>T</mi> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math>: (<b>a</b>) Prophet_ZTD-NEF and PZTD-NEF model fit <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Z</mi> <mi>T</mi> <mi>D</mi> </mrow> <mrow> <mi>r</mi> </mrow> </msub> </mrow> </semantics></math>, (<b>b</b>) and (<b>d</b>) represent the accuracy of 100-day and 800-day random prediction using Prophet_ZTD-NEF model, respectively. (<b>c</b>) and (<b>e</b>) represent the accuracy of 100-day and 800-day random prediction using PZTD-NEF model, respectively.</p>
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<p>Geological background: (<b>a</b>) the geographical location of the study area and the image coverage range of the SENTINEL-1A data stack. The green box represents SAR images range. (<b>b</b>) Overview of the Riwagong landslide. The background shows contour lines (100 m intervals) plotted using 1 arc-second SRTM DEM. (<b>c</b>) Precipitable water vapor (PWV) at Grid Point (99°E, 28°N) from 1 January 2013 to 31 December 2022 obtained using ERA5 Meteorological reanalysis data. The thick red line corresponds to the fit using the Fourier periodic function. Black dots indicate surface PWV.</p>
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<p>The different interferometric combinations of SENTINLEL-1A datasets for: (<b>a</b>) PSI, (<b>b</b>) SBAS, and (<b>c</b>) DSI.</p>
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<p>Test of SHPs identification with different number of SAR stacks. First row: GLR test, second row: FaSHPs test. The blue dots indicate the reference pixel and green dots indicate the homogeneous pixels.</p>
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<p>Comparison of optimized performance of interferogram formed on 10 May 2022 and 28 April 2022, with a time interval of 12 days and a spatial baseline of 65 m.</p>
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<p>Performance assessment of atmospheric delays under different seasonal conditions simulated by three GAMs-based methods. The first line is the estimated atmospheric delay for 10 January 2022 at UTC = 23:00: (<b>a</b>) GACOS, (<b>b</b>) PZTD-NEF, (<b>c</b>) Prophet_ZTD-NEF. The second line is the estimated atmospheric delay for 21 July 2022 at UTC = 23:00, (<b>d</b>) GACOS, (<b>e</b>) PZTD-NEF, (<b>f</b>) Prophet_ZTD-NEF.</p>
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<p>Statistical assessment before and after the APS corrections of the 169 small baseline interferograms, generated by data from 10 January 2022 to 24 December 2022 counted the mean phase STD for every ten interferograms.</p>
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<p>Two cases of phase and elevation analysis of interferogram with plotted scatter density distributions. The red line indicates the linear relationship between the fitted phase and elevation. The first interferogram formed on 10 May 2022 and 21 July 2022 and the second interferogram formed on 11 March 2022 and 27 June 2022. (<b>a</b>) is the first original interferogram and (<b>b</b>–<b>d</b>) are the first interferogram corrected by the GACOS, PZTD-NEF and Prophet_ZTD-NEF, respectively. (<b>i</b>) is the second original interferogram and (<b>j</b>–<b>l</b>) are the second interferogram corrected by the GACOS, PZTD-NEF and Prophet_ZTD-NEF, respectively.</p>
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<p>Statistics on the variation of phase STD with <math display="inline"><semantics> <mrow> <mfenced open="|" close="|" separators="|"> <mrow> <mi mathvariant="normal">k</mi> </mrow> </mfenced> </mrow> </semantics></math> in all interferograms corrected by three methods: (<b>a</b>) GACOS, (<b>b</b>) PZTD-NEF, and (<b>c</b>) Prophet_ZTD-NEF. The green dashed line indicates the linear relationship between the STD reduction after correction (%) and Linear relation between phase and elevation [k].</p>
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<p>LOS deformation velocity derived using three different TS-InSAR methods: (<b>a</b>) PSI, (<b>b</b>) SBAS, and (<b>c</b>) DSI. Background images are SRTM DEM with topographic shadows and contours.</p>
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<p>Correlations between deformation velocity measured by PSI, SBAS, and DSI: (<b>a</b>) cross-comparison between PSI-measured and DSI-measured deformation velocity, (<b>b</b>) cross-comparison between SBAS-measured and DSI-measured deformation velocity, (<b>c</b>) cross-comparison between PSI-measured and SBAS-measured deformation velocity. The green line indicates the linear relationship between the different methods.</p>
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<p>Time-series cumulative displacements measured by four GPS monitoring stations and DSI. The deformation is projected in the vertical direction. The red crosses and blue circles represent DSI and GPS, respectively.</p>
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<p>Time-series cumulative displacements measured by four GPS monitoring stations and DSI. The deformation is projected in the vertical direction. The red crosses and blue circles represent DSI and GPS, respectively.</p>
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<p>Deformation velocity before and after atmospheric delay correction: (<b>a</b>) original method, (<b>b</b>) GACOS, (<b>c</b>) PZTD-NEF, (<b>d</b>) Prophet_ZTD-NEF.</p>
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<p>LOS deformation velocity of the Riwagong landslide on SENTINEL-1A measured with DSI: (<b>a</b>) dashed lines A–B and C–D indicate the profile lines, (<b>b</b>) and (<b>c</b>) represent the deformation velocity profiles of A–B and C–D, respectively. The grey area indicates filled terrain along profile lines. The blue line indicates deformation velocity along profile lines.</p>
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<p>Time-series deformation measured with DSI. All results are calibrated to the first acquisition on 10 January 2022.</p>
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<p>Correlation of deformation time-series with rainfall. (<b>a</b>) Position of P1 and P2. (<b>b</b>) and (<b>c</b>) denote the displacement time-series of P1 and P2, respectively. The blue line indicates the linear fitted line of deformation time series. (<b>d</b>) PWV response corresponding to deformation time-series.</p>
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23 pages, 1226 KiB  
Article
Enhancing the Predictability of Wintertime Energy Demand in The Netherlands Using Ensemble Model Prophet-LSTM
by Susan N. P. van de Sande, Ali M. M. Alsahag and Seyed Sahand Mohammadi Ziabari
Processes 2024, 12(11), 2519; https://doi.org/10.3390/pr12112519 - 12 Nov 2024
Viewed by 534
Abstract
Energy demand forecasting is crucial for maintaining stable and affordable energy supplies, especially for vulnerable populations most affected by shortages and high costs. In the Netherlands, transmission system operator TenneT has raised concerns about potential electricity shortages by 2030. Rising energy prices and [...] Read more.
Energy demand forecasting is crucial for maintaining stable and affordable energy supplies, especially for vulnerable populations most affected by shortages and high costs. In the Netherlands, transmission system operator TenneT has raised concerns about potential electricity shortages by 2030. Rising energy prices and the impact of climate change on the energy demand further complicate today’s energy market. Policymakers lack clear insights into demand patterns, which complicates the optimization of energy use and the protection of at-risk communities. Accurate and timely forecasts are essential for addressing these issues and supporting sustainable energy management. This research focuses on enhancing the accuracy and lead time of wintertime energy demand forecasts in the Netherlands using advanced machine learning. The ensemble model Prophet-LSTM is trained on hourly load consumption data combined with climate change-related and energy price predictors. The results demonstrate significant improvements over baseline models, achieving a Pearson correlation coefficient of r=0.93 compared to r=0.50 in prior studies, as well as accurate forecasts up to 180 days ahead, compared to 2 months. Incorporating climate change-related predictors is challenging due to multicollinearity, highlighting the importance of careful predictor selection. Including energy price predictors yielded modest yet hopeful results, suggesting their ability to optimize energy demand forecasting. Full article
(This article belongs to the Section Energy Systems)
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<p>Hourly and monthly average load consumption from 2009 to 2019.</p>
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<p>One month of daily load consumption (January 2010).</p>
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<p>Average hourly load consumption.</p>
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<p>Monthly load consumption of a single year (2015).</p>
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<p>Seasonal decomposition of the load consumption time series.</p>
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<p>Hourly load consumption ACF.</p>
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<p>Daily load consumption ACF.</p>
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<p>Monthly load consumption ACF.</p>
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<p>Visualization of first LSTM setup (Model 1), consisting of an input layer, followed by two LSTM layers, and concluding with a dense layer.</p>
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<p>Visualization of second LSTM setup (Model 2), consisting of an input layer, followed by two LSTM layers that are each followed by a dropout layer, and concluding with a dense layer.</p>
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<p>Performance of Prophet-LSTM model trained with climate-change related predictors in RMSE, MAPE, and PCC, in comparison with average performance of best Prophet-LSTM model.</p>
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<p>VIF scores of the individual climate-change related predictors.</p>
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<p>Performance of Prophet-LSTM model trained with energy price predictors in RMSE, MAPE, and PCC, in comparison with average performance of best Prophet-LSTM model.</p>
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<p>Performance of Prophet-LSTM trained with varying lags, evaluated on general and wintertime test set using RMSE, MAPE, and PCC per lag.</p>
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22 pages, 2094 KiB  
Article
Selecting a Time-Series Model to Predict Drinking Water Extraction in a Semi-Arid Region in Chihuahua, Mexico
by Martín Alfredo Legarreta-González, César A. Meza-Herrera, Rafael Rodríguez-Martínez, Darithsa Loya-González, Carlos Servando Chávez-Tiznado, Viridiana Contreras-Villarreal and Francisco Gerardo Véliz-Deras
Sustainability 2024, 16(22), 9722; https://doi.org/10.3390/su16229722 - 7 Nov 2024
Viewed by 896
Abstract
As the effects of global climate change intensify, it is increasingly important to implement more effective water management practices, particularly in arid and semi-arid regions such as Meoqui, Chihuahua, situated in the arid northern center of Mexico. The objective of this study was [...] Read more.
As the effects of global climate change intensify, it is increasingly important to implement more effective water management practices, particularly in arid and semi-arid regions such as Meoqui, Chihuahua, situated in the arid northern center of Mexico. The objective of this study was to identify the optimal time-series model for analyzing the pattern of water extraction volumes and predicting a one-year forecast. It was hypothesized that the volume of water extracted over time could be explained by a statistical time-series model, with the objective of predicting future trends. To achieve this objective, three time-series models were evaluated. To assess the pattern of groundwater extraction, three time-series models were employed: the seasonal autoregressive integrated moving average (SARIMA), Prophet, and Prophet with extreme gradient boosting (XGBoost). The mean extraction volume for the entire period was 50,935 ± 47,540 m3, with a total of 67,233,578 m3 extracted from all wells. The greatest volume of water extracted has historically been from urban wells, with an average extraction of 55,720 ± 48,865 m3 and a total of 63,520,284 m3. The mean extraction volume for raw water wells was determined to be 20,629 ± 19,767 m3, with a total extraction volume of 3,713,294 m3. The SARIMA(1,1,1)(1,0,0)12 model was identified as the optimal time-series model for general extraction, while a “white noise” model, an ARIMA(0,1,0) for raw water, and an SARIMA(2,1,1)(2,0,0)12 model were identified as optimal for urban wells. These findings serve to reinforce the efficacy of the SARIMA model in forecasting and provide a basis for water resource managers in the region to develop policies that promote sustainable water management. Full article
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<p>Geographical position of the city of Meoqui, Chihuahua, Mexico.</p>
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<p>Satellite view of Meoqui City and location of the wells utilized for the extraction of potable water.</p>
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<p>Plot with one-year forecast for the total extraction of potable water from wells in m<sup>3</sup> in Meoqui, Chihuahua, Mexico.</p>
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<p>ARIMA model plot results with one-year forecast for extraction of potable water from ‘raw water wells’ in Meoqui in m<sup>3</sup>, Chihuahua, Mexico.</p>
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<p>SARIMA model plot results with one-year forecast for extraction of potable water from ‘urban wells’ in Meoqui, Chihuahua, Mexico.</p>
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23 pages, 8130 KiB  
Article
Prediction of Carbon Dioxide Concentrations in Strawberry Greenhouse by Using Time Series Models
by Seung Hyun Shin, Nibas Chandra Deb, Elanchezhian Arulmozhi, Niraj Tamrakar, Oluwasegun Moses Ogundele, Junghoo Kook, Dae Hyun Kim and Hyeon Tae Kim
Agriculture 2024, 14(11), 1895; https://doi.org/10.3390/agriculture14111895 - 25 Oct 2024
Viewed by 548
Abstract
Carbon dioxide (CO2) concentrations play an important role in plant production, as they have a direct impact on both plant growth and yield. Therefore, the objectives of this study were to predict CO2 concentrations in the greenhouse by applying time [...] Read more.
Carbon dioxide (CO2) concentrations play an important role in plant production, as they have a direct impact on both plant growth and yield. Therefore, the objectives of this study were to predict CO2 concentrations in the greenhouse by applying time series models using five datasets. To estimate the CO2 concentrations, this study was conducted over a four-month period from 1 December 2023 to 31 March 2024, in a strawberry-cultivating greenhouse. Fifteen sensors (MCH-383SD, Lutron, Taiwan) were installed inside the greenhouse to measure CO2 concentration at 1-min intervals. Finally, the dataset was transformed into intervals of 1, 5, 10, 30, and 60 min. The time-series data were analyzed using the autoregressive integrated moving average (ARIMA) and the Prophet Forecasting Model (PFM), with performance assessed through root mean square error (RMSE), mean absolute error (MAE), and coefficient of determination (R2). The evaluation indicated that the best model performance was achieved with data collected at 1-min intervals, while model performance declined with longer intervals, with the lowest performance observed at 60-min intervals. Specifically, the ARIMA model outperformed across all data collection intervals while comparing with the PFM. The ARIMA model, with data collected at 1-min intervals, achieved an R2 of 0.928, RMSE of 7.359, and MAE of 2.832. However, both ARIMA and PFM exhibited poorer performances as the interval of data collection increased, with the lowest performance at 60-min intervals where ARIMA had an R2 of 0.762, RMSE of 19.469, and MAE of 11.48. This research underscores the importance of frequent data collection for precise environmental control in greenhouse agriculture, emphasizing the critical role of short-interval data collection for accurate predictive modeling. Full article
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<p>The flowchart of the study.</p>
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<p>(<b>a</b>) The strawberry experiment in the vinyl greenhouse (VGH), (<b>b</b>) carbon dioxide sensor (MCH-383SD, Taipei, Taiwan) used in this study.</p>
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<p>Flowchart: (<b>a</b>) Box–Jenkins Methodology; (<b>b</b>) PFM.</p>
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<p>Stationary test results for the ARIMA model.</p>
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<p>Selecting p, d, and q parameters for the ARIMA model: (<b>a</b>) 1 min ACF and PACF diagram; (<b>b</b>) 5 min ACF and PACF diagram; (<b>c</b>) 10 min ACF and PACF diagram; (<b>d</b>) 30 min ACF and PACF diagram; (<b>e</b>) 60 min ACF and PACF diagram.</p>
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<p>Selecting p, d, and q parameters for the ARIMA model: (<b>a</b>) 1 min ACF and PACF diagram; (<b>b</b>) 5 min ACF and PACF diagram; (<b>c</b>) 10 min ACF and PACF diagram; (<b>d</b>) 30 min ACF and PACF diagram; (<b>e</b>) 60 min ACF and PACF diagram.</p>
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<p>Selecting p, d, and q values for the ARIMA model: AIC and BIC.</p>
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<p>Comparison of observed and predicted values using ARIMA for CO<sub>2</sub> concentration predictions: (<b>a</b>) 1 min; (<b>b</b>) 5 min; (<b>c</b>) 10 min; (<b>d</b>) 30 min; (<b>e</b>) 60 min.</p>
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<p>Comparison of observed and predicted values using PFM for CO<sub>2</sub> concentration predictions: (<b>a</b>) 1 min; (<b>b</b>) 5 min; (<b>c</b>) 10 min; (<b>d</b>) 30 min; (<b>e</b>) 60 min.</p>
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<p>Comparison of observed and predicted values using PFM for CO<sub>2</sub> concentration predictions: (<b>a</b>) 1 min; (<b>b</b>) 5 min; (<b>c</b>) 10 min; (<b>d</b>) 30 min; (<b>e</b>) 60 min.</p>
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<p>(<b>a</b>) The evaluation metrics results of the ARIMA model for CO<sub>2</sub> concentration predictions; (<b>b</b>) The evaluation metrics results of PFM for CO<sub>2</sub> concentration predictions.</p>
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14 pages, 3511 KiB  
Article
Application of Time-Series Modeling in Forecasting the Doctorate-Level Science and Technology Workforce
by Ho-Yeol Yoon and Hochull Choe
Appl. Sci. 2024, 14(19), 9135; https://doi.org/10.3390/app14199135 - 9 Oct 2024
Viewed by 737
Abstract
The science and technology (S&T) workforce plays a crucial role in social development by promoting technological innovation and economic growth, as well as serving as a key indicator of research and development productivity and measure of innovation capability. Therefore, effective S&T workforce policies [...] Read more.
The science and technology (S&T) workforce plays a crucial role in social development by promoting technological innovation and economic growth, as well as serving as a key indicator of research and development productivity and measure of innovation capability. Therefore, effective S&T workforce policies must be established to enhance national competitiveness. This study proposes a time-series forecasting methodology to predict the scale and structural trends of South Korea’s doctorate-level S&T workforce. Based on earlier research and case data, we applied both the traditional time-series model exponential smoothing and the latest model Prophet, developed by Meta, in this study. Further, public data from South Korea were used to apply the proposed models. To ensure robust model evaluation, we considered multiple metrics. With respect to both forecasting accuracy and sensitivity to data variability, Prophet was found to be the most suitable for predicting the S&T doctorate workforce’s scale. The scenarios derived from the Prophet model can help the government formulate policies based on scientific evidence in the future. Full article
(This article belongs to the Special Issue State-of-the-Art Dynamical Systems)
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<p>Data analysis procedure.</p>
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<p>Annual data trends.</p>
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<p>Single exponential smoothing forecasting results.</p>
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<p>Double exponential smoothing forecasting results.</p>
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<p>Prophet forecasting results.</p>
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<p>Annual forecasting trends using predicted data.</p>
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<p>Annual trends for the science and technology workforce combining existing and forecasted results.</p>
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4 pages, 1772 KiB  
Proceeding Paper
Short-Term Urban Water Demand Forecasting Using an Improved NeuralProphet Model
by Yao Yao, Haixing Liu, Fengrui Gao, Hongcai Guo and Jiaxuan Zou
Eng. Proc. 2024, 69(1), 175; https://doi.org/10.3390/engproc2024069175 - 26 Sep 2024
Viewed by 315
Abstract
The use of machine learning models for short-term network flow prediction has become increasingly widespread in recent years. Existing data-driven models are usually able to achieve good accuracy, but machine learning models are usually weakly interpretable and cannot provide clear decision guidance to [...] Read more.
The use of machine learning models for short-term network flow prediction has become increasingly widespread in recent years. Existing data-driven models are usually able to achieve good accuracy, but machine learning models are usually weakly interpretable and cannot provide clear decision guidance to decision makers in practical applications. Determining the input data shape of the model has an important impact on improving the interpretability of the model and understanding the relationship between the input factors and the application scenarios in the case. In this study, we used an integrated model for urban water demand prediction, which is based on the NeuralProphet model, and introduced the MIC method to screen the model input factors, which led to improvements in the accuracy of the prediction model. The aim of this work is also to improve the interpretability of water demand forecasting methodologies and the applicability of this model in the context of climate change and the complexity of urban water management, in order to help water managers make optimal water resource allocation decisions under different future scenarios. Full article
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<p>The MIC technique pipeline.</p>
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<p>Experimental results (W1).</p>
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9 pages, 430 KiB  
Proceeding Paper
Chlorophyll-A Time Series Study on a Saline Mediterranean Lagoon: The Mar Menor Case
by Arnau Garcá-i-Cucó, José Gellida-Bayarri, Beatriz Chafer-Dolz, Juan-Carlos Cano and José M. Cecilia
Eng. Proc. 2024, 68(1), 65; https://doi.org/10.3390/engproc2024068065 - 25 Sep 2024
Viewed by 308
Abstract
The Mar Menor, Europe’s largest saline lagoon, has experienced significant eutrophication. The concentration of chlorophyll-a (Chl-a) in the water is used as a critical indicator of this eutrophication process and can alert us to possible ecosystemic changes such as a massive fish die-off. [...] Read more.
The Mar Menor, Europe’s largest saline lagoon, has experienced significant eutrophication. The concentration of chlorophyll-a (Chl-a) in the water is used as a critical indicator of this eutrophication process and can alert us to possible ecosystemic changes such as a massive fish die-off. The main objective of this paper is to predict chlorophyll-a concentration using various time series models. Among them, multivariate models such as short-term memory networks (LSTM) and, in particular, the autoregressive integrated moving average model with eXogenous variables (ARIMAX) demonstrated superior performance. These models incorporate multiple predictors, such as humidity, water temperature, conductivity and turbidity, thus capturing the complex interactions that affect Chl-a levels. Despite their effectiveness, these multivariate models introduce cascading errors due to the uncertainty inherent in the exogenous inputs. Consequently, the application of univariate models—such as Prophet, Triple Exponential Smoothing and ARIMA—are also studied for their relative robustness to error propagation. Full article
(This article belongs to the Proceedings of The 10th International Conference on Time Series and Forecasting)
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<p>Air temperature analysis.</p>
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<p>Water temperature analysis.</p>
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<p>Chlorophyll-a analysis.</p>
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<p>Feature correlation matrix. Stronger blue color shows a higher correlation between variables.</p>
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<p>Rolling MAPE.</p>
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<p>Rolling MAPE for univariate predictions.</p>
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16 pages, 252 KiB  
Article
The Church Amidst the War of Attrition: Ukrainian Evangelical Community in Search of a New Mission Paradigm
by Roman Soloviy
Religions 2024, 15(9), 1136; https://doi.org/10.3390/rel15091136 - 20 Sep 2024
Viewed by 1100
Abstract
The article is a comprehensive analysis of the struggles and challenges faced by Ukrainian evangelicals in the wake of the Russian aggression against Ukraine between 2022 and 2024. This analysis focuses on how the ongoing war has impacted the church’s overall mission and [...] Read more.
The article is a comprehensive analysis of the struggles and challenges faced by Ukrainian evangelicals in the wake of the Russian aggression against Ukraine between 2022 and 2024. This analysis focuses on how the ongoing war has impacted the church’s overall mission and how it has adapted to a rapidly changing political and social environment. The author argues that with Ukrainian society experiencing significant social and existential challenges due to the ongoing war, the traditional model of mission work that solely focuses on evangelism and promoting Christian values as a counter to “neo-Marxist gender ideology” is gradually being replaced by a more holistic and inclusive approach to missionary theology and practice. This new approach emphasizes compassion, solidarity, social responsibility, and a prophetic vision for Ukrainian society after the war. Through this article, the author hopes to deepen understanding of how the role and mission of the Ukrainian Evangelical Church have evolved recently and outline a concept of missional theology that can be relevant for other communities facing significant social, economic, and political challenges. Full article
(This article belongs to the Special Issue Evangelical Theology Today: Exploring Theological Perspectives)
19 pages, 2795 KiB  
Article
How Effective Are Forecasting Models in Predicting Effects of Exoskeletons on Fatigue Progression?
by Pranav Madhav Kuber, Abhineet Rajendra Kulkarni and Ehsan Rashedi
Sensors 2024, 24(18), 5971; https://doi.org/10.3390/s24185971 - 14 Sep 2024
Viewed by 686
Abstract
Forecasting can be utilized to predict future trends in physiological demands, which can be beneficial for developing effective interventions. This study implemented forecasting models to predict fatigue level progression when performing exoskeleton (EXO)-assisted tasks. Specifically, perceived and muscle activity data were utilized from [...] Read more.
Forecasting can be utilized to predict future trends in physiological demands, which can be beneficial for developing effective interventions. This study implemented forecasting models to predict fatigue level progression when performing exoskeleton (EXO)-assisted tasks. Specifically, perceived and muscle activity data were utilized from nine recruited participants who performed 45° trunk flexion tasks intermittently with and without assistance until they reached medium-high exertion in the low-back region. Two forecasting algorithms, Autoregressive Integrated Moving Average (ARIMA) and Facebook Prophet, were implemented using perceived fatigue levels alone, and with external features of low-back muscle activity. Findings showed that univariate models without external features performed better with the Prophet model having the lowest mean (SD) of root mean squared error (RMSE) across participants of 0.62 (0.24) and 0.67 (0.29) with and without EXO-assisted tasks, respectively. Temporal effects of BSIE on delaying fatigue progression were then evaluated by forecasting back fatigue up to 20 trials. The slope of fatigue progression for 20 trials without assistance was ~48–52% higher vs. with assistance. Median benefits of 54% and 43% were observed for ARIMA (with external features) and Prophet algorithms, respectively. This study demonstrates some potential applications for forecasting models for workforce health monitoring, intervention assessment, and injury prevention. Full article
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<p>Illustration depicting experimental tasks of repetitive and intermittent trunk flexion task cycles and activities of standing still (SS), bending (B), sustaining bent posture (SUS), retraction (R), and relaxation performed within each task.</p>
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<p>A flowchart depicting model development and testing procedure for model selection.</p>
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<p>Comparison of mean Root Mean Square Error (RMSE) values for each of the developed forecasting models across with (E) assistance and without (NE) assistance conditions.</p>
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<p>Comparison of mean values of perceived back fatigue levels across all participants for with vs. without assistance conditions for best performing models of (<b>top</b>) ARIMA with external features and (<b>bottom</b>) Prophet across 20 trials with forecasting.</p>
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<p>Comparison of perceived back fatigue levels across different forecasting models for (<b>top</b>) with denoted by E and (<b>bottom</b>) without assistance denoted by NE conditions for a single participant.</p>
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<p>Comparison of mean values of perceived back fatigue levels across all participants for with (E) vs. without (NE) assistance conditions for best performing models of (<b>top</b>) ARIMA with external features and (<b>bottom</b>) Prophet across 20 trials with forecasting (yellow and blue colors indicate forecasted fatigue levels for without and with assistance conditions respectively).</p>
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25 pages, 6948 KiB  
Article
Short-Term Load Forecasting for Regional Smart Energy Systems Based on Two-Stage Feature Extraction and Hybrid Inverted Transformer
by Zhewei Huang and Yawen Yi
Sustainability 2024, 16(17), 7613; https://doi.org/10.3390/su16177613 - 2 Sep 2024
Viewed by 1184
Abstract
Accurate short-term load forecasting is critical for enhancing the reliability and stability of regional smart energy systems. However, the inherent challenges posed by the substantial fluctuations and volatility in electricity load patterns necessitate the development of advanced forecasting techniques. In this study, a [...] Read more.
Accurate short-term load forecasting is critical for enhancing the reliability and stability of regional smart energy systems. However, the inherent challenges posed by the substantial fluctuations and volatility in electricity load patterns necessitate the development of advanced forecasting techniques. In this study, a novel short-term load forecasting approach based on a two-stage feature extraction process and a hybrid inverted Transformer model is proposed. Initially, the Prophet method is employed to extract essential features such as trends, seasonality and holiday patterns from the original load dataset. Subsequently, variational mode decomposition (VMD) optimized by the IVY algorithm is utilized to extract significant periodic features from the residual component obtained by Prophet. The extracted features from both stages are then integrated to construct a comprehensive data matrix. This matrix is then inputted into a hybrid deep learning model that combines an inverted Transformer (iTransformer), temporal convolutional networks (TCNs) and a multilayer perceptron (MLP) for accurate short-term load forecasting. A thorough evaluation of the proposed method is conducted through four sets of comparative experiments using data collected from the Elia grid in Belgium. Experimental results illustrate the superior performance of the proposed approach, demonstrating high forecasting accuracy and robustness, highlighting its potential in ensuring the stable operation of regional smart energy systems. Full article
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<p>Overall architecture of proposed load forecasting method based on two-stage feature extraction and hybrid inverted Transformer.</p>
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<p>The flowchart of VMD parameter optimization based on IVY algorithm.</p>
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<p>The architecture of the inverted Transformer.</p>
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<p>The structure of dilated causal convolution and residual block.</p>
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<p>Fluctuation of Belgium load dataset collected from Elia grid.</p>
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<p>First-stage feature extraction results from the Elia grid data in Belgium.</p>
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<p>Second-stage feature extraction results from the Elia grid data in Belgium.</p>
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<p>The data matrix obtained by the two-stage feature extraction module.</p>
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<p>The evaluation results of the ablation experiment.</p>
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<p>The prediction results of the ablation experiment.</p>
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<p>Comparison of models based on different feature extraction methods.</p>
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<p>Comparison of different parameter optimization methods’ evaluation results.</p>
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<p>The iteration curve of different parameter optimization methods.</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 868
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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5 pages, 437 KiB  
Proceeding Paper
Optimizing Time Series Models for Water Demand Forecasting
by Gal Perelman, Yaniv Romano and Avi Ostfeld
Eng. Proc. 2024, 69(1), 9; https://doi.org/10.3390/engproc2024069009 - 29 Aug 2024
Viewed by 394
Abstract
This study focuses on optimizing time series forecasting models for water demand in a North Italian city as part of the Battle of the Water Demand Forecast (BWDF) challenge. It aims to accurately predict water demands across ten district-metered areas (DMAs) using historical [...] Read more.
This study focuses on optimizing time series forecasting models for water demand in a North Italian city as part of the Battle of the Water Demand Forecast (BWDF) challenge. It aims to accurately predict water demands across ten district-metered areas (DMAs) using historical data and weather information over a one-week horizon. The methodology encompasses data preprocessing, including missing data imputation, feature engineering, and novel normalization techniques, followed by the development and hyperparameter optimization of various data-driven models such as random forest, XGB, LSTM, and Prophet. Extensive cross-validation tests assess each model’s performance, revealing that our refined approach markedly enhances forecast accuracy, demonstrating the importance of model and parameter selection for effective water demand forecasting. Full article
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<p>Averaged model accuracy across validation periods of the last weeks before test periods.</p>
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