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28 pages, 3882 KiB  
Article
Short-Term Wind Speed Prediction via Sample Entropy: A Hybridisation Approach against Gradient Disappearance and Explosion
by Khathutshelo Steven Sivhugwana and Edmore Ranganai
Computation 2024, 12(8), 163; https://doi.org/10.3390/computation12080163 - 12 Aug 2024
Viewed by 681
Abstract
High-variant wind speeds cause aberrations in wind power systems and compromise the effective operation of wind farms. A single model cannot capture the inherent wind speed randomness and complexity. In the proposed hybrid strategy, wavelet transform (WT) is used for data decomposition, sample [...] Read more.
High-variant wind speeds cause aberrations in wind power systems and compromise the effective operation of wind farms. A single model cannot capture the inherent wind speed randomness and complexity. In the proposed hybrid strategy, wavelet transform (WT) is used for data decomposition, sample entropy (SampEn) for subseries complexity evaluation, neural network autoregression (NNAR) for deterministic subseries prediction, long short-term memory network (LSTM) for complex subseries prediction, and gradient boosting machine (GBM) for prediction reconciliation. The proposed WT-NNAR-LSTM-GBM approach predicts minutely averaged wind speed data collected at Southern African Universities Radiometric Network (SAURAN) stations: Council for Scientific and Industrial Research (CSIR), Richtersveld (RVD), Venda, and the Namibian University of Science and Technology (NUST). For comparison purposes, in WT-NNAR-LSTM-GBM, LSTM and NNAR are respectively replaced with a k-nearest neighbour (KNN) to form the corresponding hybrids: WT-NNAR-KNN-GBM and WT-KNN-LSTM-GBM. We assessed WT-NNAR-LSTM-GBM’s efficacy against NNAR, LSTM, WT-NNAR-KNN-GBM, and WT-KNN-LSTM-GBM as well as the naïve model. The comparative study found that the WT-NNAR-LSTM-GBM model was the most accurate, sharpest, and robust based on mean absolute error, median absolute deviation, and residual analysis. The study results suggest using short-term forecasts to optimise wind power production, enhance grid operations in real-time, and open the door to further algorithmic enhancements. Full article
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Figure 1
<p>The time series and Q-Q plots of minutely averaged wind speed data for the CSIR (<b>a</b>), NUST (<b>b</b>), RVD (<b>c</b>), and Venda (<b>d</b>) stations. Blue lines represent QQ lines, while grey boxes indicate interquartile ranges.</p>
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<p>The time series and Q-Q plots of minutely averaged wind speed data for the CSIR (<b>a</b>), NUST (<b>b</b>), RVD (<b>c</b>), and Venda (<b>d</b>) stations. Blue lines represent QQ lines, while grey boxes indicate interquartile ranges.</p>
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<p>Level three MODWT results for minutely averaged wind speed data for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), Venda (<b>bottom left panel</b>) and RVD (<b>bottom right panel</b>). D1–D3 denote the detailed coefficients at different decomposition levels and A3 denotes the approximate signal of <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>Y</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>A typical NNAR (<span class="html-italic">p, k</span>) architecture consists of an input layer, a hidden layer, and an output layer [<a href="#B33-computation-12-00163" class="html-bibr">33</a>]. The values <math display="inline"><semantics> <mrow> <msub> <mrow> <mo>{</mo> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>2</mn> </mrow> </msub> <mo>,</mo> <mo>.</mo> <mo>.</mo> <mo>.</mo> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mi>s</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mn>2</mn> <mi mathvariant="normal">s</mi> </mrow> </msub> <mo>,</mo> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> <mo>−</mo> <mi>p</mi> </mrow> </msub> <mo>}</mo> </mrow> </semantics></math> represent the lagged inputs of order <math display="inline"><semantics> <mrow> <mi>p</mi> </mrow> </semantics></math> with <math display="inline"><semantics> <mrow> <mi>s</mi> </mrow> </semantics></math> being the seasonality multiple. Number of neurons in the hidden layer are denoted by <math display="inline"><semantics> <mrow> <mi>k</mi> </mrow> </semantics></math> and the resultant output at time <math display="inline"><semantics> <mrow> <mi>t</mi> </mrow> </semantics></math> is given by <math display="inline"><semantics> <mrow> <msub> <mrow> <mi>y</mi> </mrow> <mrow> <mi>t</mi> </mrow> </msub> </mrow> </semantics></math>.</p>
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<p>Schematic representation of an LSTM cell.</p>
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<p>Proposed WT-NNAR-LSTM-GBM model.</p>
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<p>Model comparisons using performance metrics for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), RVD (<b>bottom left panel</b>), and Venda (<b>bottom right panel</b>).</p>
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<p>Comparison of 288 min predictions and actual wind speed data for CSIR (<b>Top panel</b>), NUST (<b>Second top panel</b>), RVD (<b>Second bottom panel</b>) and Venda (<b>Bottom panel</b>).</p>
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<p>Distributions of the residuals for CSIR (<b>top left panel</b>), NUST (<b>top right panel</b>), RVD (<b>bottom left panel</b>), and Venda (<b>bottom right panel</b>).</p>
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21 pages, 774 KiB  
Article
Short-Term Hourly Ozone Concentration Forecasting Using Functional Data Approach
by Ismail Shah, Naveed Gul, Sajid Ali and Hassan Houmani
Econometrics 2024, 12(2), 12; https://doi.org/10.3390/econometrics12020012 - 5 May 2024
Viewed by 1696
Abstract
Air pollution, especially ground-level ozone, poses severe threats to human health and ecosystems. Accurate forecasting of ozone concentrations is essential for reducing its adverse effects. This study aims to use the functional time series approach to model ozone concentrations, a method less explored [...] Read more.
Air pollution, especially ground-level ozone, poses severe threats to human health and ecosystems. Accurate forecasting of ozone concentrations is essential for reducing its adverse effects. This study aims to use the functional time series approach to model ozone concentrations, a method less explored in the literature, and compare it with traditional time series and machine learning models. To this end, the ozone concentration hourly time series is first filtered for yearly seasonality using smoothing splines that lead us to the stochastic (residual) component. The stochastic component is modeled and forecast using a functional autoregressive model (FAR), where each daily ozone concentration profile is considered a single functional datum. For comparison purposes, different traditional and machine learning techniques, such as autoregressive integrated moving average (ARIMA), vector autoregressive (VAR), neural network autoregressive (NNAR), random forest (RF), and support vector machine (SVM), are also used to model and forecast the stochastic component. Once the forecast from the yearly seasonality component and stochastic component are obtained, both are added to obtain the final forecast. For empirical investigation, data consisting of hourly ozone measurements from Los Angeles from 2013 to 2017 are used, and one-day-ahead out-of-sample forecasts are obtained for a complete year. Based on the evaluation metrics, such as R2, root mean squared error (RMSE), and mean absolute error (MAE), the forecasting results indicate that the FAR outperforms the competitors in most scenarios, with the SVM model performing the least favorably across all cases. Full article
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<p>Different sources of air pollution. Source: (<a href="#B27-econometrics-12-00012" class="html-bibr">Suraki 2013</a>).</p>
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<p>Flowchart of the proposed general modeling framework.</p>
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<p><math display="inline"><semantics> <msub> <mi>O</mi> <mn>3</mn> </msub> </semantics></math> concentration time series for Los Angeles. The red line divides the estimation and out-of-sample forecasting periods.</p>
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<p>One-day-ahead out-of-sample forecasts for <math display="inline"><semantics> <msub> <mi>O</mi> <mn>3</mn> </msub> </semantics></math> concentration: (<b>top</b>) RMSE, (<b>middle</b>) MAE, and (<b>bottom</b>) <math display="inline"><semantics> <msup> <mi>R</mi> <mn>2</mn> </msup> </semantics></math> values.</p>
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<p>Day-specific RMSE and MAE values for <math display="inline"><semantics> <msub> <mi>O</mi> <mn>3</mn> </msub> </semantics></math> concentration forecasting.</p>
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<p>One-day-aheadout-of-sample hour-specific RMSE and MAE for <math display="inline"><semantics> <msub> <mi>O</mi> <mn>3</mn> </msub> </semantics></math> concentration.</p>
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<p>Out-of-sample month-specific RMSE and MAE for <math display="inline"><semantics> <msub> <mi>O</mi> <mn>3</mn> </msub> </semantics></math> concentration.</p>
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15 pages, 1250 KiB  
Article
Comparison of ARIMA, SutteARIMA, and Holt-Winters, and NNAR Models to Predict Food Grain in India
by Ansari Saleh Ahmar, Pawan Kumar Singh, R. Ruliana, Alok Kumar Pandey and Stuti Gupta
Forecasting 2023, 5(1), 138-152; https://doi.org/10.3390/forecast5010006 - 10 Jan 2023
Cited by 5 | Viewed by 3597
Abstract
The agriculture sector plays an essential function within the Indian economic system. Foodgrains provide almost all the calories and proteins. This paper aims to compare ARIMA, SutteARIMA, Holt-Winters, and NNAR models to recommend an effective model to predict foodgrains production in India. The [...] Read more.
The agriculture sector plays an essential function within the Indian economic system. Foodgrains provide almost all the calories and proteins. This paper aims to compare ARIMA, SutteARIMA, Holt-Winters, and NNAR models to recommend an effective model to predict foodgrains production in India. The execution of the SutteARIMA predictive model used in this analysis was compared with the established ARIMA, Neural Network Auto-Regressive (NNAR), and Holt-Winters models, which have been widely applied for time series prediction. The findings of this study reveal that both the SutteARIMA model and the Holt-Winters model performed well with real-life problems and can effectively and profitably be engaged for food grain forecasting in India. The food grain forecasting approach with the SutteARIMA model indicated superior performance over the ARIMA, Holt-Winters, and NNAR models. Indeed, the actual and predicted values of the SutteARIMA and Holt-Winters forecasting models are quite close to predicting foodgrains production in India. This has been verified by MAPE and MSE values that are relatively low with the SutteARIMA model. Therefore, India’s SutteARIMA model was used to predict foodgrains production from 2021 to 2025. The forecasted amount of respective crops are as follows (in lakh tonnes) 1140.14 (wheat), 1232.27 (rice), 466.46 (coarse), 259.95 (pulses), and a total 3069.80 (foodgrains) by 2025. Full article
(This article belongs to the Special Issue Feature Papers of Forecasting 2022)
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<p>Foodgrains production in India (1950–51 to 2019–20).</p>
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<p>Actual wheat versus predicted values using SutteARIMA and H-W.</p>
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<p>Actual rice versus predicted values using SutteARIMA and H-W.</p>
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<p>Actual coarse versus predicted values using SutteARIMA and H-W.</p>
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<p>Actual pulses versus predicted values using SutteARIMA and H-W.</p>
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<p>Actual total crops versus predicted values using SutteARIMA and H-W.</p>
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13 pages, 1590 KiB  
Article
Lumpy Skin Disease Outbreaks in Africa, Europe, and Asia (2005–2022): Multiple Change Point Analysis and Time Series Forecast
by Ayesha Anwar, Kannika Na-Lampang, Narin Preyavichyapugdee and Veerasak Punyapornwithaya
Viruses 2022, 14(10), 2203; https://doi.org/10.3390/v14102203 - 7 Oct 2022
Cited by 26 | Viewed by 6618
Abstract
LSD is an important transboundary disease affecting the cattle industry worldwide. The objectives of this study were to determine trends and significant change points, and to forecast the number of LSD outbreak reports in Africa, Europe, and Asia. LSD outbreak report data (January [...] Read more.
LSD is an important transboundary disease affecting the cattle industry worldwide. The objectives of this study were to determine trends and significant change points, and to forecast the number of LSD outbreak reports in Africa, Europe, and Asia. LSD outbreak report data (January 2005 to January 2022) from the World Organization for Animal Health were analyzed. We determined statistically significant change points in the data using binary segmentation, and forecast the number of LSD reports using auto-regressive moving average (ARIMA) and neural network auto-regressive (NNAR) models. Four significant change points were identified for each continent. The year between the third and fourth change points (2016–2019) in the African data was the period with the highest mean of number of LSD reports. All change points of LSD outbreaks in Europe corresponded with massive outbreaks during 2015–2017. Asia had the highest number of LSD reports in 2019 after the third detected change point in 2018. For the next three years (2022–2024), both ARIMA and NNAR forecast a rise in the number of LSD reports in Africa and a steady number in Europe. However, ARIMA predicts a stable number of outbreaks in Asia, whereas NNAR predicts an increase in 2023–2024. This study provides information that contributes to a better understanding of the epidemiology of LSD. Full article
(This article belongs to the Special Issue Emerging and Re-emerging Pathogens of Livestock)
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<p>Overall trend of LSD outbreaks in Africa, Asia, and Europe from 2005 to 2020.</p>
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<p>Top five African nations with the most reports of lumpy skin disease outbreaks.</p>
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<p>Top five European nations with the most reports of lumpy skin disease outbreaks.</p>
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<p>Top five Asian nations with the most reports of lumpy skin disease outbreaks. Notably, based on World Organization for Animal Health (WOAH) data, Turkey is categorized as part of Asia.</p>
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<p>Change points in time series of LSD outbreak reports in Africa. Green dots are change points, and red lines are corresponding segments.</p>
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<p>Change points in time series of LSD outbreak reports in Europe. Green dots are change points, and red lines are corresponding segments.</p>
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<p>Change points in time series of LSD outbreak reports in Asia. Green dots are change points, and red lines are corresponding segments.</p>
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<p>Number of LSD outbreaks in Africa, Europe, and Asia forecasted by ARIMA and NNAR. The thick red line represents point forecasts of LSD outbreak reports; the dark and light shades indicate 95% and 80% confidence intervals, respectively.</p>
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<p>Report on the LSD outbreaks in Africa. The forecast models were built with data from 2005 to 2015, and validated with data from 2016 to 2022. The gray box represents the comparison between the forecasted LSD outbreak values obtained by the ARIMA (red circles) and NNAR (green circles) models and the actual outbreak values (blue dots).</p>
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15 pages, 4056 KiB  
Article
Forecasting the Volatility of Cryptocurrencies in the Presence of COVID-19 with the State Space Model and Kalman Filter
by Shafiqah Azman, Dharini Pathmanathan and Aerambamoorthy Thavaneswaran
Mathematics 2022, 10(17), 3190; https://doi.org/10.3390/math10173190 - 4 Sep 2022
Cited by 1 | Viewed by 2318
Abstract
During the COVID-19 pandemic, cryptocurrency prices showed abnormal volatility that attracted the participation of many investors. Studying the behaviour of volatility for the prices of cryptocurrency is an interesting problem to be investigated. This research implements the state space model framework for volatility [...] Read more.
During the COVID-19 pandemic, cryptocurrency prices showed abnormal volatility that attracted the participation of many investors. Studying the behaviour of volatility for the prices of cryptocurrency is an interesting problem to be investigated. This research implements the state space model framework for volatility incorporating the Kalman filter. This method directly forecasts the conditional volatility of five cryptocurrency prices (Bitcoin (BTC), Ethereum (ETH), Ripple (XRP), Litecoin (LTC) and Bitcoin Cash (BCH)) for 10,000 consecutive hours, i.e., approximately 417 days during the COVID-19 pandemic from 26 February 2020, 00:00 h until 18 April 2021, 00:00 h. The performance of this model is compared to the GARCH (1,1) model and the neural network autoregressive (NNAR) based on root mean square error (RMSE), mean absolute error (MAE) and the volatility plot. The autocorrelation function plot, histogram and the residuals plot are used to examine the model adequacy. Among the three models, the state space model gives the best fit. The state space model gives the narrowest confidence interval of volatility and value-at-risk forecasts among the three models. Full article
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<p>Example of a NN with 2 hidden layers and multiple inputs.</p>
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<p>Observed volatility plots for the pre-COVID-19 and COVID-19 periods for (<b>a</b>) Bitcoin, (<b>b</b>) Ethereum, (<b>c</b>) Litecoin, (<b>d</b>) Ripple and (<b>e</b>) Bitcoin Cash.</p>
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<p>Volatility plots for (<b>a</b>) Bitcoin, (<b>b</b>) Ethereum, (<b>c</b>) Litecoin, (<b>d</b>) Ripple and (<b>e</b>) Bitcoin Cash.</p>
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<p>Residual plots, ACF plots and histograms of the: (<b>a</b>) GARCH(1,1) model; (<b>b</b>) NN model and (<b>c</b>) SS model for Bitcoin. The blue dotted lines in ACF plots indicate the point of statistical significance.</p>
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<p>Residual plots, ACF plots and histograms of the: (<b>a</b>) GARCH(1,1) model; (<b>b</b>) NN model and (<b>c</b>) SS model for Ethereum. The blue dotted lines in ACF plots indicate the point of statistical significance.</p>
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<p>Residual plots, ACF plots and histograms of the: (<b>a</b>) GARCH (1,1) model; (<b>b</b>) NN model and (<b>c</b>) SS model for Litecoin. The blue dotted lines in ACF plots indicate the point of statistical significance.</p>
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<p>Residual plots, ACF plots and histograms of the: (<b>a</b>) GARCH (1,1) model; (<b>b</b>) NN model and (<b>c</b>) SS model for XRP. The blue dotted lines in ACF plots indicate the point of statistical significance.</p>
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<p>Residual plots, ACF plots and histograms of the: (<b>a</b>) GARCH (1,1) model; (<b>b</b>) NN model and (<b>c</b>) SS model for Bitcoin Cash. The blue dotted lines in ACF plots indicate the point of statistical significance.</p>
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<p>VaR confidence interval for Bitcoin.</p>
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<p>Volatility confidence interval for Bitcoin.</p>
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14 pages, 1561 KiB  
Article
The Economic Viability of PV Power Plant Based on a Neural Network Model of Electricity Prices Forecast: A Case of a Developing Market
by Nikola Mišnić, Bojan Pejović, Jelena Jovović, Sunčica Rogić and Vladimir Đurišić
Energies 2022, 15(17), 6219; https://doi.org/10.3390/en15176219 - 26 Aug 2022
Cited by 2 | Viewed by 2195
Abstract
In this paper, a study was completed investigating the financial viability of a 5 MW solar power plant in Montenegro with direct access to the market, rather than a long-term power purchase agreement. The empirical research included an econometric analysis and forecast of [...] Read more.
In this paper, a study was completed investigating the financial viability of a 5 MW solar power plant in Montenegro with direct access to the market, rather than a long-term power purchase agreement. The empirical research included an econometric analysis and forecast of the prices on the exchange market, using two methods, autoregressive integrated moving average (ARIMA) and neural network auto regression (NNAR), which are compared to the forecast electricity prices. The former was used in order to obtain the electricity prices forecast, since it showed significantly better predictive performances. Consequently, the financial analysis results indicated this business strategy is a financially more viable option, even though it implies increased risks. All investigated metrics and sensitivity analysis pointed in favor of this option, which has significantly higher profitability with a shorter payback period, compared to the usual market strategy. The main conclusion and recommendation drawn from the analysis are that taking into account the entire environment and prospects for the following years, a riskier business strategy of entering the market directly, or a so-called structured PPA, is put forward to improve project returns and speed up energy-transformation processes in a developing country. Full article
(This article belongs to the Special Issue Technical, Economic and Managerial Aspects of the Energy Transition)
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<p>Electricity price forecasting models [<a href="#B24-energies-15-06219" class="html-bibr">24</a>].</p>
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<p>Flowchart of ARIMA modeling and forecasting [<a href="#B28-energies-15-06219" class="html-bibr">28</a>].</p>
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<p>A diagrammatic representation of the NNAR (p, P, k) model.</p>
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<p>Expected annual production of the solar power plant. Source: Main project design–PV Kuči [<a href="#B39-energies-15-06219" class="html-bibr">39</a>].</p>
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<p>Price forecast comparison–ARIMA, NNAR, and real prices.</p>
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<p>Price forecast using NNAR model.</p>
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22 pages, 3640 KiB  
Article
The Use of Singular Spectrum Analysis and K-Means Clustering-Based Bootstrap to Improve Multistep Ahead Load Forecasting
by Winita Sulandari, Yudho Yudhanto and Paulo Canas Rodrigues
Energies 2022, 15(16), 5838; https://doi.org/10.3390/en15165838 - 11 Aug 2022
Cited by 5 | Viewed by 2385
Abstract
In general, studies on short-term hourly electricity load modeling and forecasting do not investigate in detail the sources of uncertainty in forecasting. This study aims to evaluate the impact and benefits of applying bootstrap aggregation in overcoming the uncertainty in time series forecasting, [...] Read more.
In general, studies on short-term hourly electricity load modeling and forecasting do not investigate in detail the sources of uncertainty in forecasting. This study aims to evaluate the impact and benefits of applying bootstrap aggregation in overcoming the uncertainty in time series forecasting, thereby increasing the accuracy of multistep ahead point forecasts. We implemented the existing and proposed clustering-based bootstrapping methods to generate new electricity load time series. In the proposed method, we use singular spectrum analysis to decompose the series between signal and noise to reduce the variance of the bootstrapped series. The noise is then bootstrapped by K-means clustering-based generation of Gaussian normal distribution (KM.N) before adding it back to the signal, resulting in the bootstrapped series. We apply the benchmark models for electricity load forecasting, SARIMA, NNAR, TBATS, and DSHW, to model all new bootstrapped series and determine the multistep ahead point forecasts. The forecast values obtained from the original series are compared with the mean and median across all forecasts calculated from the bootstrapped series using the Malaysian, Polish, and Indonesian hourly load series for 12, 24, and 36 steps ahead. We conclude that, in this case, the proposed bootstrapping method improves the accuracy of multistep-ahead forecast values, especially when considering the SARIMA and NNAR models. Full article
(This article belongs to the Special Issue Intelligent Forecasting and Optimization in Electrical Power Systems)
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<p>Procedure for generating bootstrapped time series by the SSA-KM.N method.</p>
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<p>Hourly load series of Johor, Malaysia: (<b>a</b>) 1 January time 00:00, to 30 November 2009, time 23:00; (<b>b</b>) 1 January, time 00:00, to 30 June 2010, time 23:00.</p>
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<p>The original series (in black) and the bootstrap time series (in red) obtained by the (<b>a</b>) KM.N method; (<b>b</b>) SSA.KM.N method.</p>
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<p>The original series (in black) and the bootstrap time series (in red) obtained by the KM.N method (left) and SSA.KM.N (right) (<b>a</b>) for time period influenced by the Prophet’s birthday; (<b>b</b>) for time period influenced by the Aid al-Fitr.</p>
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<p>The hourly electricity load of Poland between 26 October and 16 December 2020.</p>
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<p>The hourly electricity load of Indonesia between 1 October and 30 November 2015.</p>
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14 pages, 1045 KiB  
Article
Time-Series Analysis for the Number of Foot and Mouth Disease Outbreak Episodes in Cattle Farms in Thailand Using Data from 2010–2020
by Veerasak Punyapornwithaya, Pradeep Mishra, Chalutwan Sansamur, Dirk Pfeiffer, Orapun Arjkumpa, Rotchana Prakotcheo, Thanis Damrongwatanapokin and Katechan Jampachaisri
Viruses 2022, 14(7), 1367; https://doi.org/10.3390/v14071367 - 23 Jun 2022
Cited by 15 | Viewed by 3640
Abstract
Thailand is one of the countries where foot and mouth disease outbreaks have resulted in considerable economic losses. Forecasting is an important warning technique that can allow authorities to establish an FMD surveillance and control program. This study aimed to model and forecast [...] Read more.
Thailand is one of the countries where foot and mouth disease outbreaks have resulted in considerable economic losses. Forecasting is an important warning technique that can allow authorities to establish an FMD surveillance and control program. This study aimed to model and forecast the monthly number of FMD outbreak episodes (n-FMD episodes) in Thailand using the time-series methods, including seasonal autoregressive integrated moving average (SARIMA), error trend seasonality (ETS), neural network autoregression (NNAR), and Trigonometric Exponential smoothing state–space model with Box–Cox transformation, ARMA errors, Trend and Seasonal components (TBATS), and hybrid methods. These methods were applied to monthly n-FMD episodes (n = 1209) from January 2010 to December 2020. Results showed that the n-FMD episodes had a stable trend from 2010 to 2020, but they appeared to increase from 2014 to 2020. The outbreak episodes followed a seasonal pattern, with a predominant peak occurring from September to November annually. The single-technique methods yielded the best-fitting time-series models, including SARIMA(1,0,1)(0,1,1)12, NNAR(3,1,2)12,ETS(A,N,A), and TBATS(1,{0,0},0.8,{<12,5>}. Moreover, SARIMA-NNAR and NNAR-TBATS were the hybrid models that performed the best on the validation datasets. The models that incorporate seasonality and a non-linear trend performed better than others. The forecasts highlighted the rising trend of n-FMD episodes in Thailand, which shares borders with several FMD endemic countries in which cross-border trading of cattle is found common. Thus, control strategies and effective measures to prevent FMD outbreaks should be strengthened not only in Thailand but also in neighboring countries. Full article
(This article belongs to the Special Issue Global Foot-and-Mouth Disease Control)
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<p>Time-series modeling procedure. A full dataset of the number of FMD outbreak episodes was split into training and validation datasets. Forecast models were developed using seasonal autoregressive integrated moving average (SARIMA), error trend seasonality (ETS), neural network autoregression (NNAR), and Trigonometric Exponential smoothing state–space model with Box–Cox transformation, ARMA errors, Trend and Seasonal components (TBATS), and hybrid methods. With the validation data, error measures, including root mean squared error (RMSE), mean absolute error (MAE), and mean absolute scaled error (MASE), were determined in order to compare the performances of prediction models.</p>
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<p>Decomposition of the number of time-series FMD outbreak episodes from January 2010 to December 2020 in actual (data), trend, decomposed seasonal trait (seasonal), and random fluctuation (remainder) of FMD outbreak episodes were illustrated.</p>
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<p>Actual, fitted, and forecast value from SARIMA, NNAR, ETS, TBATS. SARIMA-NNAR, SARIMA-ETS, SARIMA-TBATS, NNAR-ETS, NNAR-TBATS, and ETS-TBATS models. The x-axis and y-axis are the year and number of FMD outbreak episodes, respectively.</p>
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<p>Forecasts of the number of FMD episodes (red line) from SARIMA, NNAR, ETS, TBATS, SARIMA-NNAR, SARIMA-ETS, SARIMA-TBATS, NNAR-ETS, NNAR-TBATS, and ETS-TBATS models. The x-axis and y-axis are the year and number of FMD outbreak episodes, respectively. The yellow band indicates a 95% confidence interval of forecast values.</p>
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16 pages, 2592 KiB  
Communication
Jakarta Pandemic to Endemic Transition: Forecasting COVID-19 Using NNAR and LSTM
by Resa Septiani Pontoh, Toni Toharudin, Budi Nurani Ruchjana, Farhat Gumelar, Fariza Alamanda Putri, Muhammad Naufal Agisya and Rezzy Eko Caraka
Appl. Sci. 2022, 12(12), 5771; https://doi.org/10.3390/app12125771 - 7 Jun 2022
Cited by 10 | Viewed by 3038
Abstract
In December 2021, the latest COVID-19 variant, Omicron, was confirmed in Indonesia. Unlike the Delta variant, the number of deaths in the Omicron type did not increase significantly and remained constant, even though the cases increased significantly. It is hoped that Indonesia will [...] Read more.
In December 2021, the latest COVID-19 variant, Omicron, was confirmed in Indonesia. Unlike the Delta variant, the number of deaths in the Omicron type did not increase significantly and remained constant, even though the cases increased significantly. It is hoped that Indonesia will declare COVID-19 endemic. Jakarta is the capital of Indonesia and the first city where the new COVID-19 virus emerged. Therefore, we are trying to model COVID-19 cases in Jakarta and predict future cases to see if endemic conditions are identified. We applied Neural Network Auto-Regressive (NNAR) and Long Short-Term Memory (LSTM) methods. It is found that the NNAR forecast better for positive confirmed cases with an R-squared 0.939 and the LSTM forecast better for cases of death with an R-squared 0.9337. The forecasting results for the next 7 days reveal that positive confirmed cases of COVID-19 in Jakarta will increase slightly. In addition, the death cases experienced a very small increase, only one new case. According to the results of this study, it can be concluded that COVID-19 in Jakarta will enter an endemic phase in Jakarta, with no substantial increase in cases and a low mortality rate. Full article
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<p>The daily new cases from 2 March 2020 to 3 April 2022, in Jakarta.</p>
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<p>The daily death cases from 2 March 2020 to 3 April 2022, in Jakarta.</p>
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<p>PACF Plot for Daily Confirmed Positive Cases of COVID-19 Data in Jakarta.</p>
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<p>A plot of actual data and predicted data for daily confirmed positive cases of COVID-19 in Jakarta.</p>
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<p>PACF plot for death cases caused by COVID-19 in Jakarta.</p>
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<p>A plot of actual data and predicted data on death cases due to COVID-19 in Jakarta.</p>
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<p>(<b>a</b>) Graph of loss function derivation for positive cases; and (<b>b</b>) graph of loss function derivation for death cases.</p>
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<p>(<b>a</b>) Plot of actual data and predicted data for positive cases; and (<b>b</b>) plot of actual data and predicted data for death cases due to COVID-19.</p>
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<p>(<b>a</b>) Plot of actual data and predicted data for positive cases; and (<b>b</b>) plot of actual data and predicted data for death cases due to COVID-19.</p>
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<p>(<b>a</b>) Daily confirmed positive cases of COVID-19 in Jakarta and prediction for the next seven periods; and (<b>b</b>) forecast plot of daily confirmed positive cases of COVID-19 in Jakarta.</p>
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<p>(<b>a</b>) Daily confirmed positive cases of COVID-19 in Jakarta and prediction for the next seven periods; and (<b>b</b>) forecast plot of daily confirmed positive cases of COVID-19 in Jakarta.</p>
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<p>Forecast plot of death cases caused by COVID-19 in Jakarta.</p>
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18 pages, 3815 KiB  
Article
A Novel Approach to Modeling and Forecasting Cancer Incidence and Mortality Rates through Web Queries and Automated Forecasting Algorithms: Evidence from Romania
by Cristiana Tudor
Biology 2022, 11(6), 857; https://doi.org/10.3390/biology11060857 - 3 Jun 2022
Cited by 7 | Viewed by 2693
Abstract
Cancer remains a leading cause of worldwide mortality and is a growing, multifaceted global burden. As a result, cancer prevention and cancer mortality reduction are counted among the most pressing public health issues of the twenty-first century. In turn, accurate projections of cancer [...] Read more.
Cancer remains a leading cause of worldwide mortality and is a growing, multifaceted global burden. As a result, cancer prevention and cancer mortality reduction are counted among the most pressing public health issues of the twenty-first century. In turn, accurate projections of cancer incidence and mortality rates are paramount for robust policymaking, aimed at creating efficient and inclusive public health systems and also for establishing a baseline to assess the impact of newly introduced public health measures. Within the European Union (EU), Romania consistently reports higher mortality from all types of cancer than the EU average, caused by an inefficient and underfinanced public health system and lower economic development that in turn have created the phenomenon of “oncotourism”. This paper aims to develop novel cancer incidence/cancer mortality models based on historical links between incidence and mortality occurrence as reflected in official statistics and population web-search habits. Subsequently, it employs estimates of the web query index to produce forecasts of cancer incidence and mortality rates in Romania. Various statistical and machine-learning models—the autoregressive integrated moving average model (ARIMA), the Exponential Smoothing State Space Model with Box-Cox Transformation, ARMA Errors, Trend, and Seasonal Components (TBATS), and a feed-forward neural network nonlinear autoregression model, or NNAR—are estimated through automated algorithms to assess in-sample fit and out-of-sample forecasting accuracy for web-query volume data. Forecasts are produced with the overperforming model in the out-of-sample context (i.e., NNAR) and fed into the novel incidence/mortality models. Results indicate a continuation of the increasing trends in cancer incidence and mortality in Romania by 2026, with projected levels for the age-standardized total cancer incidence of 313.8 and the age-standardized mortality rate of 233.8 representing an increase of 2%, and, respectively, 3% relative to the 2019 levels. Research findings thus indicate that, under the no-change hypothesis, cancer will remain a significant burden in Romania and highlight the need and urgency to improve the status quo in the Romanian public health system. Full article
(This article belongs to the Special Issue Bioinformatics and Machine Learning for Cancer Biology)
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<p>Most common queries related to the search term “cancer”: worldwide (April 2017–March 2022). Source of data: Google Trends. Estimation results using the “gtrendsR” package [<a href="#B19-biology-11-00857" class="html-bibr">19</a>] in R software.</p>
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<p>Internet search interest for “cancer” at the world level: (April 2017–March 2022). Source of data: Google Trends. Map is based on estimation results and uses the packages “gtrendsR” [<a href="#B19-biology-11-00857" class="html-bibr">19</a>] and “tmap” [<a href="#B21-biology-11-00857" class="html-bibr">21</a>] in R software.</p>
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<p>Trends in cancer mortality rates in selected CEE countries (2011–2018). Estimation results. Plot created in R software (“ggplots” function). Source of data: Eurostat.</p>
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<p>Trends in age-standardized cancer incidence and mortality rates in Romania (2010–2019) (panel <b>a</b>); join-points in cancer incidence rate (panel <b>b</b>). Source of data: Romanian Ministry of Health (2021) [<a href="#B32-biology-11-00857" class="html-bibr">32</a>]. Chart in panel (<b>a</b>) is produced in Datawrapper. Chart in panel (<b>b</b>) is produced with the “ggplot” function in R software; join-point regression analysis is performed with the “segmented” package within R software.</p>
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<p>Trends in age-standardized cancer incidence and mortality rates in Romania (2010–2019) (panel <b>a</b>); join-points in cancer incidence rate (panel <b>b</b>). Source of data: Romanian Ministry of Health (2021) [<a href="#B32-biology-11-00857" class="html-bibr">32</a>]. Chart in panel (<b>a</b>) is produced in Datawrapper. Chart in panel (<b>b</b>) is produced with the “ggplot” function in R software; join-point regression analysis is performed with the “segmented” package within R software.</p>
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<p>The integrated framework for modeling and forecasting cancer incidence and mortality rates.</p>
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<p>The relationship (linear—blue line, polynomial—orange line) between related web queries and the age-standardized cancer incidence rate in Romania (panel <b>a</b>). The relationship (linear—blue line, polynomial—orange line) between related web queries and the age-standardized cancer mortality rate in Romania (panel <b>b</b>). Source of data: Romanian Ministry of Health [<a href="#B32-biology-11-00857" class="html-bibr">32</a>]. All estimations were performed in R software; plots were created in R software (i.e.,“ggplot” function).</p>
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<p>Forecasted trend over April 2022–March 2026 (48 months) for web queries for the term “cancer” in Romania issued with NNAR (12,6). Source: estimation results. Model information: average of 20 networks, each of which is a 12-6-1 network with 85 weight options.</p>
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26 pages, 745 KiB  
Article
On Predictive Modeling Using a New Flexible Weibull Distribution and Machine Learning Approach: Analyzing the COVID-19 Data
by Zubair Ahmad, Zahra Almaspoor, Faridoon Khan and Mahmoud El-Morshedy
Mathematics 2022, 10(11), 1792; https://doi.org/10.3390/math10111792 - 24 May 2022
Cited by 24 | Viewed by 2237
Abstract
Predicting and modeling time-to-events data is a crucial and interesting research area. For modeling and predicting such types of data, numerous statistical models have been suggested and implemented. This study introduces a new statistical model, namely, a new modified flexible Weibull extension (NMFWE) [...] Read more.
Predicting and modeling time-to-events data is a crucial and interesting research area. For modeling and predicting such types of data, numerous statistical models have been suggested and implemented. This study introduces a new statistical model, namely, a new modified flexible Weibull extension (NMFWE) distribution for modeling the mortality rate of COVID-19 patients. The introduced model is obtained by modifying the flexible Weibull extension model. The maximum likelihood estimators of the NMFWE model are obtained. The evaluation of the estimators of the NMFWE model is assessed in a simulation study. The flexibility and applicability of the NMFWE model are established by taking two datasets representing the mortality rates of COVID-19-infected persons in Mexico and Canada. For predictive modeling, we consider two pure statistical models and two machine learning (ML) algorithms. The pure statistical models include the autoregressive moving average (ARMA) and non-parametric autoregressive moving average (NP-ARMA), and the ML algorithms include neural network autoregression (NNAR) and support vector regression (SVR). To evaluate their forecasting performance, three standard measures of accuracy, namely, root mean square error (RMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) are calculated. The findings demonstrate that ML algorithms are very effective at predicting the mortality rate data. Full article
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<p>The PDF (<b>left panel</b>) and HRF (<b>right panel</b>) plots for the NMFWE distribution.</p>
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<p>A visual display of the results of the SimS of the NMFWE model for <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>0.6</mn> <mo>,</mo> <mo> </mo> <msub> <mi>σ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1.4</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <mn>1.1</mn> </mrow> </semantics></math>.</p>
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<p>A visual display of the results of the SimS of the NMFWE model for <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>1.1</mn> <mo>,</mo> <mo> </mo> <msub> <mi>σ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1.6</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <mn>1.4</mn> </mrow> </semantics></math>.</p>
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<p>A visual display of the results of the SimS of the NMFWE model for <math display="inline"><semantics> <mrow> <msub> <mi>σ</mi> <mn>1</mn> </msub> <mo>=</mo> <mn>1.1</mn> <mo>,</mo> <mo> </mo> <msub> <mi>σ</mi> <mn>2</mn> </msub> <mo>=</mo> <mn>1.6</mn> </mrow> </semantics></math>, and <math display="inline"><semantics> <mrow> <mi>λ</mi> <mo>=</mo> <mn>1.4</mn> </mrow> </semantics></math>.</p>
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<p>Nonparametric plots for Data 1.</p>
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<p>Nonparametric plots for Data 2.</p>
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<p>A visual illustration of the NMFWE model using Data 1.</p>
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<p>A visual illustration of the NMFWE model using Data 2.</p>
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<p>Divison of mortality rate of the COVID-19 patients data taken from Mexico.</p>
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<p>Trend of mortality rate data taken from Mexico.</p>
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<p>ACF and PACF for level (<b>first row</b>) and differenced data (<b>second row</b>).</p>
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<p>Diagnostic check.</p>
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<p>Forecasts comparsion for the COVID-19 dataset taken from Mexico.</p>
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<p>Forecasting performance of the models.</p>
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<p>The mortality rate of the COVID-19 patients in Canada.</p>
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<p>ACF and PACF for level (<b>first row</b>) and differenced data (<b>second row</b>).</p>
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<p>Diagnostic check.</p>
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<p>Flowchart of forecast errors.</p>
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<p>Forecasting performance of models.</p>
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30 pages, 3622 KiB  
Article
EU Net-Zero Policy Achievement Assessment in Selected Members through Automated Forecasting Algorithms
by Cristiana Tudor and Robert Sova
ISPRS Int. J. Geo-Inf. 2022, 11(4), 232; https://doi.org/10.3390/ijgi11040232 - 31 Mar 2022
Cited by 14 | Viewed by 3196
Abstract
The European Union (EU) has positioned itself as a frontrunner in the worldwide battle against climate change and has set increasingly ambitious pollution mitigation targets for its members. The burden is heavier for the more vulnerable economies in Central and Eastern Europe (CEE), [...] Read more.
The European Union (EU) has positioned itself as a frontrunner in the worldwide battle against climate change and has set increasingly ambitious pollution mitigation targets for its members. The burden is heavier for the more vulnerable economies in Central and Eastern Europe (CEE), who must juggle meeting strict greenhouse gas emission (GHG) reduction goals, significant fossil-fuel reliance, and pressure to respond to current pandemic concerns that require an increasing share of limited public resources, while facing severe repercussions for non-compliance. Thus, the main goals of this research are: (i) to generate reliable aggregate GHG projections for CEE countries; (ii) to assess whether these economies are on track to meet their binding pollution reduction targets; (iii) to pin-point countries where more in-depth analysis using spatial inventories of GHGs at a finer resolution is further needed to uncover specific areas that should be targeted by additional measures; and (iv) to perform geo-spatial analysis for the most at-risk country, Poland. Seven statistical and machine-learning models are fitted through automated forecasting algorithms to predict the aggregate GHGs in nine CEE countries for the 2019–2050 horizon. Estimations show that CEE countries (except Romania and Bulgaria) will not meet the set pollution reduction targets for 2030 and will unanimously miss the 2050 carbon neutrality target without resorting to carbon credits or offsets. Austria and Slovenia are the least likely to meet the 2030 emissions reduction targets, whereas Poland (in absolute terms) and Slovenia (in relative terms) are the farthest from meeting the EU’s 2050 net-zero policy targets. The findings thus stress the need for additional measures that go beyond the status quo, particularly in Poland, Austria, and Slovenia. Geospatial analysis for Poland uncovers that Krakow is the city where pollution is the most concentrated with several air pollutants surpassing EU standards. Short-term projections of PM2.5 levels indicate that the air quality in Krakow will remain below EU and WHO standards, highlighting the urgency of policy interventions. Further geospatial data analysis can provide valuable insights into other geo-locations that require the most additional efforts, thereby, assisting in the achievement of EU climate goals with targeted measures and minimum socio-economic costs. The study concludes that statistical and geo-spatial data, and consequently research based on these data, complement and enhance each other. An integrated framework would consequently support sustainable development through bettering policy and decision-making processes. Full article
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<p>Historical evolution of GHGs over 1970–2018. Authors’ representation. Data source: World Development Indicators (WDI).</p>
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<p>Worldwide GHG emissions in 2018. Authors’ representation. Source of data: World Development Indicators (WDI).</p>
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<p>Total GHG emission trends in CEE countries. Authors’ representation. Source of data: World Development Indicators (WDI).</p>
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<p>Research methodology flowchart.</p>
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<p>The holdout period forecasting method.</p>
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<p>The forecasting models employed for automated forecasting.</p>
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<p>A general form of a three-layer FFNN structure with lagged inputs.</p>
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<p>GHG forecasts with the best-performing predictive model for each country (actual target values for 2030 are also highlighted). Source: estimation results.</p>
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<p>GHG forecasts with the best-performing predictive model for each country (actual target values for 2030 are also highlighted). Source: estimation results.</p>
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<p>Poland air quality concentration map on 9 March 2022. Source: Snapshot of the Map of Air Quality by Airly: <a href="https://map.airly.org/" target="_blank">https://map.airly.org/</a> [<a href="#B112-ijgi-11-00232" class="html-bibr">112</a>] (accessed on 10 March 2022)). Green color: good air quality (low level of pollutants). Yellow color: medium air quality (medium level of pollutants. Orange color: low air quality (high level of pollutants). Red color: very low air quality (very high level of pollutants).</p>
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<p>The trend of PM2.5 in Krakow during 8 March 2021 (02:00)–8 March 2022 (03:00). Source of data: Poland’s Chief Inspectorate For Environmental Protection (<a href="http://powietrze.gios.gov.pl/pjp/home" target="_blank">http://powietrze.gios.gov.pl/pjp/home</a> (accessed on 9 March 2022)). Authors’ representation in Datawrapper.</p>
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<p>Short-term predictions of PM2.5 in Krakow issued by NNAR(26,14). Source: estimation results. Model Information: Average of 20 networks, each of which is a 26-14-1 network with 393 weight options.</p>
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<p>Location of the air quality sensors in Poland’s three main urban areas: (<b>a</b>) Warsaw, (<b>b</b>) Lodz, and (<b>c</b>) Krakow. Source: Snapshot from Poland’s Chief Inspectorate For Environmental Protection (<a href="http://powietrze.gios.gov.pl/pjp/home" target="_blank">http://powietrze.gios.gov.pl/pjp/home</a> (accessed on 9 March 2022)). Green color: good air quality (low level of pollutants). Yellow color: medium air quality (medium level of pollutants. Orange color: low air quality (high level of pollutants). Red color: very low air quality (very high level of pollutants).</p>
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12 pages, 351 KiB  
Article
Statistical and Artificial Neural Networks Models for Electricity Consumption Forecasting in the Brazilian Industrial Sector
by Felipe Leite Coelho da Silva, Kleyton da Costa, Paulo Canas Rodrigues, Rodrigo Salas and Javier Linkolk López-Gonzales
Energies 2022, 15(2), 588; https://doi.org/10.3390/en15020588 - 14 Jan 2022
Cited by 37 | Viewed by 2820
Abstract
Forecasting the industry’s electricity consumption is essential for energy planning in a given country or region. Thus, this study aims to apply time-series forecasting models (statistical approach and artificial neural network approach) to the industrial electricity consumption in the Brazilian system. For the [...] Read more.
Forecasting the industry’s electricity consumption is essential for energy planning in a given country or region. Thus, this study aims to apply time-series forecasting models (statistical approach and artificial neural network approach) to the industrial electricity consumption in the Brazilian system. For the statistical approach, the Holt–Winters, SARIMA, Dynamic Linear Model, and TBATS (Trigonometric Box–Cox transform, ARMA errors, Trend, and Seasonal components) models were considered. For the approach of artificial neural networks, the NNAR (neural network autoregression) and MLP (multilayer perceptron) models were considered. The results indicate that the MLP model was the one that obtained the best forecasting performance for the electricity consumption of the Brazilian industry under analysis. Full article
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<p>Electricity consumption (<b>a</b>) in GWh and (<b>b</b>) box-plots for the Brazilian industry. Source: Central Bank of Brazil.</p>
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<p>MLP network architecture.</p>
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<p>Model fit for the six considered models applied to the Brazilian industrial electricity consumption.</p>
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<p>Model forecasting for the six considered models applied to the Brazilian industrialelectricity consumption.</p>
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<p>Mean absolute percentage error, considering the six models, for <math display="inline"><semantics> <mrow> <mi>h</mi> <mo>=</mo> <mn>1</mn> <mo>,</mo> <mo>…</mo> <mo>,</mo> <mn>24</mn> </mrow> </semantics></math> steps-ahead out-of-sample forecasts applied to the electricity consumption of the Brazilian industry.</p>
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28 pages, 4668 KiB  
Article
Benchmarking GHG Emissions Forecasting Models for Global Climate Policy
by Cristiana Tudor and Robert Sova
Electronics 2021, 10(24), 3149; https://doi.org/10.3390/electronics10243149 - 17 Dec 2021
Cited by 18 | Viewed by 3648
Abstract
Climate change and pollution fighting have become prominent global concerns in the twenty-first century. In this context, accurate estimates for polluting emissions and their evolution are critical for robust policy-making processes and ultimately for solving stringent global climate challenges. As such, the primary [...] Read more.
Climate change and pollution fighting have become prominent global concerns in the twenty-first century. In this context, accurate estimates for polluting emissions and their evolution are critical for robust policy-making processes and ultimately for solving stringent global climate challenges. As such, the primary objective of this study is to produce more accurate forecasts of greenhouse gas (GHG) emissions. This in turn contributes to the timely evaluation of the progress achieved towards meeting global climate goals set by international agendas and also acts as an early-warning system. We forecast the evolution of GHG emissions in 12 top polluting economies by using data for the 1970–2018 period and employing six econometric and machine-learning models (the exponential smoothing state-space model (ETS), the Holt–Winters model (HW), the TBATS model, the ARIMA model, the structural time series model (STS), and the neural network autoregression model (NNAR)), along with a naive model. A battery of robustness checks is performed. Results confirm a priori expectations and consistently indicate that the neural network autoregression model (NNAR) presents the best out-of-sample forecasting performance for GHG emissions at different forecasting horizons by reporting the lowest average RMSE (root mean square error) and MASE (mean absolute scaled error) within the array of predictive models. Predictions made by the NNAR model for the year 2030 indicate that total GHG emissions are projected to increase by 3.67% on average among the world’s 12 most polluting countries until 2030. Only four top polluters will record decreases in total GHG emissions values in the coming decades (i.e., Canada, the Russian Federation, the US, and China), although their emission levels will remain in the upper decile. Emission increases in a handful of developing economies will see significant growth rates (a 22.75% increase in GHG total emissions in Brazil, a 15.75% increase in Indonesia, and 7.45% in India) that are expected to offset the modest decreases in GHG emissions projected for the four countries. Our findings, therefore, suggest that the world’s top polluters cannot meet assumed pollution reduction targets in the form of NDCs under the Paris agreement. Results thus highlight the necessity for more impactful policies and measures to bring the set targets within reach. Full article
(This article belongs to the Special Issue Theory and Applications of Fuzzy Systems and Neural Networks)
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<p>Historical trend of mean GHG emissions in 175 countries (1970–2018).</p>
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<p>Mean GHG emissions per country over 1970–2018 (175 countries).</p>
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<p>Historical trends of greenhouse gas emissions.</p>
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<p>Contribution of world top polluters to total GHG emission (2018).</p>
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<p>The holdout forecasting with training/test sets.</p>
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<p>The fixed-length recursive window out-of-sample forecasting technique.</p>
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<p>General structure of the nonlinear autoregressive neural network (NNAR) with one hidden layer.</p>
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<p>Sequential steps of the forecasting procedure.</p>
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<p>The conceptual framework of the study.</p>
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<p>Countries (Predicted Line in Blue versus Real Time Evolution in Red).</p>
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<p>Countries (Predicted Line in Blue versus Real Time Evolution in Red).</p>
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36 pages, 22248 KiB  
Article
Improving Hotel Room Demand Forecasts for Vienna across Hotel Classes and Forecast Horizons: Single Models and Combination Techniques Based on Encompassing Tests
by Ulrich Gunter
Forecasting 2021, 3(4), 884-919; https://doi.org/10.3390/forecast3040054 - 27 Nov 2021
Cited by 9 | Viewed by 3831
Abstract
The present study employs daily data made available by the STR SHARE Center covering the period from 1 January 2010 to 31 January 2020 for six Viennese hotel classes and their total. The forecast variable of interest is hotel room demand. As forecast [...] Read more.
The present study employs daily data made available by the STR SHARE Center covering the period from 1 January 2010 to 31 January 2020 for six Viennese hotel classes and their total. The forecast variable of interest is hotel room demand. As forecast models, (1) Seasonal Naïve, (2) Error Trend Seasonal (ETS), (3) Seasonal Autoregressive Integrated Moving Average (SARIMA), (4) Trigonometric Seasonality, Box–Cox Transformation, ARMA Errors, Trend and Seasonal Components (TBATS), (5) Seasonal Neural Network Autoregression (Seasonal NNAR), and (6) Seasonal NNAR with an external regressor (seasonal naïve forecast of the inflation-adjusted ADR) are employed. Forecast evaluation is carried out for forecast horizons h = 1, 7, 30, and 90 days ahead based on rolling windows. After conducting forecast encompassing tests, (a) mean, (b) median, (c) regression-based weights, (d) Bates–Granger weights, and (e) Bates–Granger ranks are used as forecast combination techniques. In the relative majority of cases (i.e., in 13 of 28), combined forecasts based on Bates–Granger weights and on Bates–Granger ranks provide the highest level of forecast accuracy in terms of typical measures. Finally, the employed methodology represents a fully replicable toolkit for practitioners in terms of both forecast models and forecast combination techniques. Full article
(This article belongs to the Special Issue Tourism Forecasting: Time-Series Analysis of World and Regional Data)
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<p>Evolution and STL decomposition of hotel room demand in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Evolution and STL decomposition of hotel room demand in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Evolution and STL decomposition of hotel room demand in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Evolution and STL decomposition of hotel room demand in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Evolution and STL decomposition of inflation-adjusted ADR in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Evolution and STL decomposition of inflation-adjusted ADR in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
Full article ">Figure 2 Cont.
<p>Evolution and STL decomposition of inflation-adjusted ADR in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
Full article ">Figure 2 Cont.
<p>Evolution and STL decomposition of inflation-adjusted ADR in Vienna. Hotel classes from top to bottom: (<b>a</b>) ‘luxury’, (<b>b</b>) ‘upper upscale’, (<b>c</b>) ‘upscale’, (<b>d</b>) ‘upper midscale’, (<b>e</b>) ‘midscale’, (<b>f</b>) ‘economy’, and (<b>g</b>) ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Scatterplot of hotel room demand and inflation-adjusted ADR in Vienna for hotel class ‘all’. Source: STR SHARE Center, own illustration using R.</p>
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<p>Historical data (solid line) and forecast comparison graph of all forecast models for hotel class ‘all’ and <math display="inline"><semantics> <mrow> <mi>h</mi> <mo>=</mo> <mn>1</mn> </mrow> </semantics></math> for the period from 1 October 2019 to 31 January 2020. Source: STR SHARE Center, own illustration using EViews Version 11.</p>
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