Analysis and Prediction Model of Fuel Consumption and Carbon Dioxide Emissions of Light-Duty Vehicles
Abstract
:1. Introduction
- RO1: To carry out a thorough systematic literature review of fuel consumption and carbon dioxide emissions for new light-duty vehicles for retail sale (use case: in Canada);
- RO2: To identify suitable datasets for analysis and implement the data preparation process;
- RO3: To utilize appropriate indicators to measure and analyze the sustainable impact of vehicles;
- RO4: To implement the following data analytics methodologies on the final dataset by addressing corresponding research questions (RQ).
- Level 1: Descriptive Statistical Analysis
- -
- RQ1.1 How do light-duty vehicles compare in terms of fuel consumption and CO2 emission?
- -
- RQ1.2 How have patterns of fuel consumption and emission of each vehicle type changed throughout the selected period?
- Level 2: Inferential Statistical Analysis
- -
- RQ2.1 Is there any particular distribution for fuel consumption in the city and the highway of vehicles in Canada?
- -
- RQ2.2 Is there a notable difference in the performance of one specific vehicle (or fuel) type in comparison to the rest of the vehicle types in Canada?
- -
- RQ2.3 How does the brand, model, vehicle class, engine size, cylinder, transmission type, and fuel type correlate with consumption and emissions of various vehicles?
- -
- RQ2.4 What are the relationships between all features to each other of the entire dataset?
- Level 3: Machine Learning
- -
- RQ3.1 Can fuel consumption and carbon dioxide emission data, and other input metrics be utilized to predict outputs in upcoming years in Canada?
- -
- RQ3.2 Is it possible to build Machine Learning models that use vehicle specifications data to predict their fuel consumption and carbon dioxide emission?
- Level 4: Deep Learning
- -
- RQ4.1 Is it possible to construct Deep Learning models that use vehicle specifications data to predict their fuel consumption and carbon dioxide emission?
- RO5 To make recommendations and possible regulations and define areas of future research.
2. Literature Review
2.1. Vehicle Emissions Estimation Models
2.2. Vehicle Consumption Estimation Models
3. Methodology
3.1. Macro Methodology
3.2. Micro Methodology
3.2.1. Level 1: Descriptive Statistics
3.2.2. Level 2: Inferential Statistics
- t-test: has been conducted to compare the mean fuel consumption in the city and on the highway for the same vehicle;
- ANOVA: compares the means of total fuel consumption and carbon dioxide emissions for each vehicle class and fuel type over time to define whether each fuel type (or vehicle class) is significantly different from the rest;
- Correlation: A heat map of correlation coefficients is shown to illustrate the direction and strength of a linear relationship among vehicle features in pairs. Moreover, a comparison of the importance of features for predicting CO2 Emissions and Total Fuel Consumption has been conducted, which is an important test before advancing to Levels 3 and 4;
- Chi-Square: Two Chi-Square Goodness of Fit tests have been carried out to investigate whether there is a significant difference between the observed (data in 2021) and expected values (data from 2017 to 2020). Additionally, a chain of Chi-Square of Independence tests have been implemented to define relationships between all features to each other, therefore, presented in a heat map.
3.2.3. Level 3: Machine Learning
- Time Series Regression: has been used since it can forecast a future response using the historical responses and dynamics transition from related predictors. Different models are applied in this study, including persistence models (using walk forward validation), autoregression models (using autoregression function by statsmodels), and optimized autoregression model (using walk-forward over time steps). These models are evaluated by Root Means Square Error (RMSE) value, which measures the differences between values predicted and the values observed.
- Linear Regression: using the sklearn model and the dataset is split into training and testing sets with 80%:20% ratio;
- Univariate Polynomial Regression: using the sklearn model and 5 different degrees (from Degree 1 to Degree 5).
- Multiple Linear Regression: using the sklearn model and the dataset is split into training and testing sets with 80%:20% ratio;
- Logarithmic Regression: using the sklearn model with log transformed predictor values and exponential transformed predictor values;
- Exponential Regression: the dataset is split into training and testing sets with 75%:25% ratio;
- Transformation of data: the dataset is split into training and testing sets with 75%:25% ratio;
- Multivariate Polynomial Regression: using the sklearn model and 5 different degrees (from Degree 1 to Degree 5).
3.2.4. Level 4: Deep Learning
4. Results and Discussion
4.1. Level 1: Descriptive Statistics
4.2. Level 2: Inferential Statistics
4.2.1. t-Test
- Null Hypothesis (H0): mean of fuel consumption in the city = mean of fuel consumption on a highway;
- Alternative Hypothesis (Ha): mean of fuel consumption in a city ≠ mean of fuel consumption in highway;
- Chosen confidence level: 99%, which means = 0.01.
- Statistic = 149.8128 (t-value);
- p-value = 0.0.
4.2.2. ANOVA
- The samples are not dependent;
- Each sample comes from a population that is normally distributed;
- The group population standard deviations are all equal (homoscedasticity).
- Null Hypothesis (H0): means of each vehicle class are the same;
- Alternative Hypothesis (Ha): At least one of the means for each class is not equal to the other;
- Chosen Confidence Level: 99%, which means = 0.01
4.2.3. Correlation
4.2.4. Chi-Square
- Chi-Square value: 0.5317;
- p-value: 0.4659.
- The Chi-Square value is: 6.3380;
- p-value: 0.0118.
- The Chi-Square value is: 765.5951;
- The p-value is: 6.6296 × 10;
- The degree of freedom is: 27.
4.3. Level 3: Machine Learning
4.3.1. Time Series Regression
- Persistence models (using walk-forward validation);
- Autoregression models (using autoregression function by statsmodels);
- Optimized autoregression model (using walk-forward over time steps).
4.3.2. Linear Regression and Univariate Polynomial Regression
4.3.3. Multiple Linear Regression, Logarithmic Regression, Multivariate Polynomial Regression, Transformation of Data, and Exponential Regression
4.4. Level 4: Deep Learning
Convolutional Neural Network
5. Recommendations
- Fuel-saver and environmental-friendly brands: Honda, Mitsubishi, Mazda, FIAT, Hyundai, MINI, Kia, and Volkswagen;
- Least smog-emitter brands: Volkswagen, Jaguar, MINI, Mazda, Toyota, Volvo, and Lexus.
- Brands with high fuel consumption and CO2 emissions: Bugatti, Lamborghini, Rolls-Royce, Bentley, Aston Martin, Maserati, and Dodge;
- Brands with high smog emissions: Bugatti, Lamborghini, Maserati, Porsche, Dodge, Alfa Romeo, and Bentley.
- Engine models: IONIQ Blue, IONIQ, Prius, Corolla Hybrid, And Niro FE;
- Suggested Vehicle Classes: Station wagon (Small), Compact, Mid-size, and SUV (Small);
- For engine size and cylinder, the smaller, the better for fuel consumption and CO2 emissions;
- Suggested transmission type: AV1, AV, AM6, AV10, and AV6;
- About Fuel type, it is recommended to use fuel types D (Diesel) and X (Regular gasoline).
- Engine models: Chiron PUR Sport, Divo, Aventador Coupe S, Aventador Coupe SVJ, and Aventador Roadster S;
- Vehicle Classes that have high fuel consumption and CO2 emission: Van (Passenger), Pickup truck: Standard, and SUV: Standard;
- For engine size, the bigger, the worse for fuel consumption and CO2 emissions;
- Not recommended transmission type: A7, AS5, A10, A5, A6, and A8;
- About Fuel type, it is not recommended to use fuel types Z (Premium gasoline) and E (Ethanol E85).
6. Conclusions and Future Work
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Abbreviations
ANOVA | Analysis of variance |
BP | Backpropagation |
CMEM | Comprehensive Modal Emissions Model |
CNN | Convolutional Neural Network |
CO | Carbon Monoxide |
CO2 | Carbon Dioxide |
EMIT | Emissions from Traffic |
EU | European Union |
Fuel Type D | Diesel |
Fuel Type E | Ethanol (E85) |
Fuel Type N | Natural gas |
Fuel Type Z | Premium gasoline |
Fuel Type X | Regular gasoline |
GHG | Greenhouse Gases |
H0 | Null Hypothesis |
Ha | Alternative Hypothesis |
HC | Hydrocarbon |
MEASURE | Mobile Emission Assessment System for Urban and Regional Evaluation |
MOVES | Motor Vehicle Emission Simulator |
NOx | Nitrogen Oxides |
OBD | On-Board Diagnostic |
RMSE | Root Means Square Error |
RO | Research Objective |
RQ | Research Question |
SVR | Support Vector Regression |
US | United States |
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Feature | Mean | Standard Deviation | Min | Max | Variance |
---|---|---|---|---|---|
Engine Size (L) | 3.120 | 1.345 | 1.0 | 8.4 | 1.809 |
Cylinders | 5.599 | 1.882 | 3.0 | 16.0 | 3.542 |
Fuel Consumption in City (L/100 km) | 12.363 | 3.355 | 4.0 | 30.3 | 11.256 |
Fuel Consumption in Highway (L/100 km) | 9.036 | 2.086 | 3.9 | 20.9 | 4.351 |
Total Fuel Consumption (L/100 km) | 10.865 | 2.747 | 4.0 | 26.1 | 7.548 |
CO2 Emissions (g/km) | 251.436 | 58.851 | 94.0 | 608.0 | 363.459 |
CO2 Rating | 4.601 | 1.6588 | 1.0 | 10.0 | 2.752 |
Smog Rating | 4.635 | 1.807 | 1.0 | 8.0 | 3.265 |
Brand | Engine Size (L) | Cylinders | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) | CO2 Rating | Smog Rating |
---|---|---|---|---|---|---|
Honda | 2.01 | 4.35 | 8.03 | 187.58 | 6.65 | 4.65 |
Mitsubishi | 1.88 | 3.85 | 8.32 | 193.63 | 6.29 | 5.38 |
Mazda | 2.30 | 4.00 | 8.36 | 195.92 | 6.23 | 5.80 |
Hyundai | 2.05 | 4.18 | 8.45 | 199.42 | 6.17 | 5.14 |
FIAT | 1.51 | 4.00 | 8.47 | 198.37 | 6.11 | 4.69 |
MINI | 1.81 | 3.62 | 8.61 | 201.56 | 5.86 | 6.13 |
Kia | 2.25 | 4.43 | 8.80 | 207.89 | 5.94 | 5.09 |
Volkswagen | 2.00 | 4.17 | 9.02 | 210.97 | 5.67 | 6.45 |
Toyota | 2.83 | 4.92 | 9.17 | 214.58 | 5.87 | 5.48 |
Subaru | 2.28 | 4.13 | 9.31 | 217.63 | 5.42 | 4.34 |
Volvo | 2.00 | 4.00 | 9.54 | 222.70 | 5.14 | 5.44 |
Acura | 2.96 | 5.21 | 9.72 | 227.62 | 5.06 | 4.40 |
Buick | 2.34 | 4.57 | 9.74 | 228.64 | 5.05 | 5.30 |
Alfa Romeo | 2.20 | 4.55 | 9.78 | 229.97 | 5.00 | 3.09 |
Nissan | 2.92 | 5.10 | 9.90 | 232.59 | 5.17 | 4.99 |
Lexus | 3.44 | 5.86 | 10.14 | 237.21 | 4.90 | 5.40 |
Audi | 2.78 | 5.54 | 10.60 | 247.67 | 4.59 | 4.68 |
Cadillac | 3.15 | 5.38 | 10.86 | 255.29 | 4.32 | 5.18 |
Jaguar | 3.03 | 5.73 | 10.87 | 256.47 | 4.38 | 6.21 |
Jeep | 2.93 | 5.05 | 10.90 | 254.74 | 4.36 | 4.67 |
Infiniti | 3.27 | 5.78 | 10.97 | 257.67 | 4.25 | 4.13 |
BMW | 3.19 | 6.15 | 11.10 | 260.01 | 4.31 | 4.50 |
Porsche | 3.09 | 5.80 | 11.17 | 260.98 | 4.19 | 2.84 |
Land Rover | 3.05 | 5.64 | 11.35 | 272.23 | 3.91 | 5.07 |
Lincoln | 2.74 | 5.17 | 11.37 | 266.92 | 4.17 | 5.19 |
Chrysler | 3.79 | 6.14 | 11.52 | 252.12 | 4.40 | 4.65 |
Mercedes-Benz | 3.36 | 6.51 | 11.60 | 271.25 | 3.99 | 4.66 |
Chevrolet | 3.73 | 5.98 | 11.77 | 268.15 | 4.19 | 4.47 |
Genesis | 3.55 | 6.06 | 11.86 | 279.48 | 3.76 | 4.24 |
Ford | 3.11 | 5.53 | 11.96 | 264.23 | 4.16 | 4.56 |
Ram | 4.32 | 6.70 | 12.79 | 294.59 | 3.45 | 3.77 |
GMC | 4.27 | 6.54 | 12.96 | 291.36 | 3.51 | 4.38 |
Dodge | 4.97 | 7.06 | 13.06 | 295.52 | 3.35 | 2.99 |
Maserati | 3.35 | 6.65 | 13.55 | 317.29 | 2.77 | 2.04 |
Aston Martin | 4.98 | 10.46 | 13.63 | 320.50 | 2.96 | 3.58 |
Bentley | 5.39 | 9.94 | 15.48 | 361.67 | 2.00 | 3.30 |
Rolls-Royce | 6.65 | 12.00 | 16.72 | 390.95 | 1.03 | 3.62 |
Lamborghini | 5.64 | 10.67 | 17.65 | 410.79 | 1.54 | 1.77 |
Bugatti | 8.00 | 16.00 | 22.98 | 538.83 | 1.00 | 1.00 |
Model | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
IONIQ BLUE | 4.08 | 95.60 |
IONIQ | 4.28 | 101.40 |
PRIUS | 4.48 | 105.40 |
... | ||
AVENTADOR COUPE SVJ | 22.40 | 520.00 |
DIVO | 23.00 | 537.00 |
CHIRON PUR SPORT | 26.10 | 608.00 |
Vehicle Class | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
Station wagon: Small | 8.25 | 193.85 |
Compact | 9.22 | 215.69 |
Mid-size | 9.55 | 223.49 |
SUV: Small | 10.01 | 233.65 |
Minicompact | 10.35 | 242.16 |
Subcompact | 10.64 | 248.95 |
Special purpose vehicle | 10.77 | 236.90 |
Station wagon: Mid-size | 10.86 | 254.41 |
Full-size | 11.16 | 256.36 |
Minivan | 11.30 | 257.98 |
Pickup truck: Small | 11.66 | 281.61 |
Two-seater | 12.45 | 291.33 |
SUV: Standard | 13.25 | 303.00 |
Pickup truck: Standard | 13.48 | 300.05 |
Van: Passenger | 16.98 | 362.63 |
Engine Size (L) | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
1.2 | 6.66 | 155.11 |
1.6 | 7.38 | 176.19 |
1.8 | 7.61 | 178.19 |
... | ||
6.8 | 18.62 | 434.40 |
6.5 | 20.62 | 478.25 |
8.0 | 22.98 | 538.83 |
Cylinders | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
3 | 7.78 | 181.78 |
4 | 8.85 | 207.12 |
5 | 10.37 | 242.43 |
6 | 11.49 | 265.59 |
8 | 14.00 | 318.05 |
10 | 15.09 | 353.19 |
12 | 16.60 | 388.24 |
16 | 22.98 | 538.83 |
Transmission | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
AV1 | 6.82 | 161.50 |
AV | 7.13 | 167.14 |
AM6 | 7.35 | 171.33 |
AV10 | 7.75 | 181.29 |
AV6 | 8.02 | 187.15 |
M5 | 8.23 | 191.55 |
AV7 | 8.29 | 194.37 |
A4 | 9.05 | 212.50 |
AV8 | 9.05 | 211.49 |
M6 | 9.95 | 233.09 |
AS6 | 10.39 | 237.62 |
AS9 | 10.57 | 247.82 |
A9 | 10.87 | 253.26 |
AM9 | 11.00 | 259.75 |
AS8 | 11.13 | 260.67 |
AM8 | 11.18 | 261.78 |
M7 | 11.32 | 264.73 |
AM7 | 11.33 | 265.04 |
AS7 | 12.08 | 282.10 |
AS10 | 12.31 | 277.96 |
A8 | 12.35 | 286.17 |
A10 | 12.60 | 304.13 |
A5 | 12.95 | 295.37 |
AS5 | 13.11 | 305.64 |
A6 | 13.15 | 288.23 |
A7 | 13.26 | 310.85 |
Fuel Type | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
D (Diesel) | 9.32 | 250.52 |
X (Regular gasoline) | 9.98 | 234.05 |
Z (Premium gasoline) | 11.47 | 268.38 |
E (Ethanol E85) | 16.62 | 275.43 |
Model (Year) | Total Fuel Consumption (L/100 km) | CO2 Emissions (g/km) |
---|---|---|
2017 | 10.87 | 250.02 |
2018 | 10.85 | 250.04 |
2019 | 10.86 | 251.17 |
2020 | 10.90 | 253.10 |
2021 | 10.84 | 253.48 |
Model (Year) | 2017 | 2018 | 2019 | 2020 | 2021 |
---|---|---|---|---|---|
Engine Size (L) | 3.11 | 3.11 | 3.10 | 3.16 | 3.12 |
Cylinders | 5.54 | 5.60 | 5.59 | 5.67 | 5.60 |
Fuel Consumption in City (L/100 km) | 12.42 | 12.36 | 12.37 | 12.38 | 12.27 |
Fuel Consumption in Highway (L/100 km) | 8.98 | 8.99 | 9.03 | 9.10 | 9.10 |
Total Fuel Consumption (L/100 km) | 10.87 | 10.85 | 10.86 | 10.90 | 10.84 |
Total Fuel Consumption (mpg) | 27.67 | 27.65 | 27.66 | 27.63 | 27.86 |
CO2 Emissions (g/km) | 250.02 | 250.04 | 251.17 | 253.10 | 253.48 |
CO2 Rating | 4.83 | 4.57 | 4.56 | 4.53 | 4.48 |
Smog Rating | 6.04 | 3.78 | 4.14 | 4.52 | 4.72 |
Metric | Persistence Model | Autoregression Model | Optimized Autoregression Model |
---|---|---|---|
Total Fuel Consumption | 0.002 | 0.026 | 0.026 |
Fuel Consumption in City | 0.004 | 0.045 | 0.044 |
Fuel Consumption in Highway | 0.002 | 0.097 | 0.068 |
CO2 Emission | 1.287 | 3.412 | 2.178 |
Predictor | Target | Linear Regression | Univariate Polynomial Regression | ||||
---|---|---|---|---|---|---|---|
Degree 1 | Degree 2 | Degree 3 | Degree 4 | Degree 5 | |||
Engine Size | Total | 0.67694 | 0.67670 | 0.68466 | 0.68611 | 0.69022 | 0.69038 |
Cylinders | Fuel Con | 0.66161 | 0.64166 | 0.65108 | 0.65165 | 0.65595 | 0.65596 |
Fuel Consumption in City | sumption | 0.98443 | 0.98606 | 0.98606 | 0.98624 | 0.98626 | 0.98626 |
Fuel Consumption in Highway | (L/100 | 0.94780 | 0.94710 | 0.94778 | 0.94783 | 0.94790 | 0.94794 |
CO2 Emissions | km) | 0.89053 | 0.88828 | 0.88851 | 0.88859 | 0.88894 | 0.88894 |
Engine Size | CO2 | 0.72950 | 0.70852 | 0.71446 | 0.72162 | 0.72480 | 0.72552 |
Cylinders | Emis- | 0.67752 | 0.69280 | 0.69839 | 0.69962 | 0.70195 | 0.70195 |
Fuel Consumption in City | sions | 0.88922 | 0.88654 | 0.89650 | 0.89724 | 0.90846 | 0.90886 |
Fuel Consumption in Highway | (g/km) | 0.82471 | 0.82107 | 0.84835 | 0.84839 | 0.85369 | 0.85448 |
Total Fuel Consumption | 0.88753 | 0.88828 | 0.90243 | 0.90289 | 0.91193 | 0.91215 |
Predictor | Target | Multiple Linear Regression | Logarithmic Regression | Univariate Polynomial Regression | |||||
---|---|---|---|---|---|---|---|---|---|
Log Transformation | Exponential Transformation | Degree 1 | Degree 2 | Degree 3 | Degree 4 | Degree 5 | |||
Model (Year) + Engine Size (L) + Cylinders | Total Fuel Consumption (L/100 km) | 0.68184 | 0.61418 | −0.31802 | 0.68658 | 0.69331 | 0.69174 | 0.70389 | 0.67582 |
Engine Size (L) + Cylinders | 0.71549 | 0.62154 | −0.31802 | 0.68728 | 0.69041 | 0.69018 | 0.70343 | 0.71083 | |
Fuel Consumption in City (L/100 km) + Fuel Consumption in Highway (L/100 km) | 0.99968 | 0.55998 | −0.31802 | 0.99968 | 0.99968 | 0.99968 | 0.99968 | 0.99968 | |
Model (Year) + Engine Size (L) + Cylinders | CO2 Emissions (g/km) | 0.74119 | 0.49410 | −0.04007 | 0.71355 | 0.71902 | 0.72576 | 0.72994 | 0.70450 |
Engine Size (L) + Cylinders | 0.73955 | 0.42943 | −0.04007 | 0.71247 | 0.71506 | 0.72388 | 0.72922 | 0.73300 |
Predictor | Target | Convolutional Neural Network |
---|---|---|
Model (Year) + Engine Size (L) + Cylinders | Total Fuel Consumption (L/100 km) | 0.70061 |
Engine Size (L) + Cylinders | 0.69482 | |
Fuel Consumption in City (L/100 km) + Fuel Consumption in Highway (L/100 km) | 0.99964 | |
Model (Year) + Engine Size (L) + Cylinders | CO2 Emissions (g/km) | 0.68912 |
Engine Size (L) + Cylinders | 0.71746 |
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Hien, N.L.H.; Kor, A.-L. Analysis and Prediction Model of Fuel Consumption and Carbon Dioxide Emissions of Light-Duty Vehicles. Appl. Sci. 2022, 12, 803. https://doi.org/10.3390/app12020803
Hien NLH, Kor A-L. Analysis and Prediction Model of Fuel Consumption and Carbon Dioxide Emissions of Light-Duty Vehicles. Applied Sciences. 2022; 12(2):803. https://doi.org/10.3390/app12020803
Chicago/Turabian StyleHien, Ngo Le Huy, and Ah-Lian Kor. 2022. "Analysis and Prediction Model of Fuel Consumption and Carbon Dioxide Emissions of Light-Duty Vehicles" Applied Sciences 12, no. 2: 803. https://doi.org/10.3390/app12020803