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Yu et al. Carbon Footprints 2025, 4, 17  https://dx.doi.org/10.20517/cf.2025.12                                                                                         Page 9 of 23


                              Table 3. The comparison of MOVES, IVE, CMEM, PHEM and VT-Micro models

                              Model      MOVES                                IVE                                   CMEM                                          PHEM                           VT-Micro

                              Input      Vehicle operation mode, vehicle fleet   Vehicle operation mode, vehicle fleet   Physical parameters (engine capacity, vehicle mass,  Speed and gradient profiles of  Speed profiles of
                                         composition, vehicle activity,  weather   composition, vehicle activity,  weather   maximum power, torque, etc.), instantaneous driving  vehicles       vehicles
                                         conditions, etc.                     conditions, etc.                      pattern

                              Spatial    National, regional, project level    National, regional, local, link       Vehicle-level                                 Vehicle-level                  Vehicle-level
                              scale
                              Time scale Hour, day, week, month, year         Hour, day, week, month, year          Real-time or instantaneous                    Real-time or instantaneous     Real-time or
                                                                                                                                                                                                 instantaneous
                              Vehicle    Passenger cars, trucks, buses, motorcycles,  Bus, truck, small engine, motorcycle  Car, truck                            Passenger cars, light-duty, heavy-  Light duty vehicles
                              type       motorhomes                                                                                                               duty, buses & coaches,         and trucks
                                                                                                                                                                  motorcycles
                              Energy     Gasoline, diesel, CNG, LPG, electricity,   Gasoline, diesel, NG, ethanol, propane,   Diesel, gasoline                    Diesel, gasoline               Gasoline, diesel
                              type       ethanol (E85)                        CNG and LPG
                              Road type  Rural, urban                         /                                     /                                             /                              /
                              Driving    Different counties                   Developing countries                  FTP, US06, MEC01                              European countries             FTP
                              cycle
                              Version    MOVES 5.0.0, 2024                    IVE 2007                              CMEM 3.0, 2005                                Continuously updated. Unavailable   VT-Micro 2.0,
                                                                                                                                                                                                 2004
                              Reference  [40]                                 [41]                                  [42]                                          [43]                           [44]

                              MOVES: Motor vehicle emission simulator; IVE: international vehicle emissions; CMEM: comprehensive modal emission model; PHEM: passenger car and heavy-duty emission model; VT-Micro: virginia tech
                              microscopic energy and emission model; FTP: federal test procedure; CNG: compressed natural gas; LPG: liquefied petroleum gas; NG: natural gas.



                              researchers have increasingly focused on the problem of trajectory reconstruction for emission calculations                           [52,53] . Ma et al.  proposed a trajectory
                                                                                                                                                                                    [54]
                              reconstruction method based on interpolation of acceleration distributions, demonstrating that the reconstructed trajectory closely approximates the real
                              trajectory, achieving 2% to 17% higher accuracy compared to other methods. Shang et al.  developed a traffic energy consumption model that integrates
                                                                                                                                      [55]
                              macroscopic and microscopic data, and reconstructed trajectories using a nonparametric kernel smoothing algorithm combined with variational theory. For
                              data with varying sampling frequencies, this approach significantly improved the accuracy of emission estimates based on reconstructed trajectories.



                              Accuracy
                              Macroscopic and mesoscopic emission models rely on aggregated data (such as regional average speed and fleet age distribution), which obscure individual
                              driving heterogeneity. This simplification can lead to the smoothing of emissions in localized hotspots, such as intersections, inherently limiting the accuracy

                              of these models. Smit et al.  found that based on data from portable emission measurement system (PEMS) for five SUVs, the emission factors under actual
                                                            [56]
                              urban hot operating conditions were seven times higher for nitrogen oxides and four times higher for nitrogen dioxide than those estimated by the COPERT
                              model in Australia.
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