On the distribution of individual daily driving distances

Plug-in electric vehicles (PEV) can reduce greenhouse gas emissions. However, the utility of PEVs, as well as reduction of emissions is highly dependent on daily vehicle kilometres travelled (VKT). Further, the daily VKT by individual passenger cars vary strongly between days. A common method to analyse individual daily VKT is to fit distribution functions and to further analyse these fits. However, several distributions for individual daily VKT have been discussed in the literature without conclusive decision on the best distribution. Here we analyse three two-parameter distribution functions for the variation in daily VKT with four sets of travel data covering a total of 190,000 driving days and 9.5 million VKT. Specifically, we look at overall performance of the distributions on the data using four goodness of fit measures, as well as the consequence of choosing one distribution over the others for two common PEV applications: the days requiring adaptation for battery electric vehicles and the utility factor for plug-in hybrid electric vehicles. We find the Weibull distribution to fit most vehicles well but not all and at the same time yielding good predictions for PEV related attributes. Furthermore, the choice of distribution impacts PEV usage factors. Here, the Weibull distribution yields reliable estimates for electric vehicle applications whereas the log-normal distribution yields more conservative estimates for PEV usage factors. Our results help to guide the choice of distribution for a specific research question utilising driving data and provide a methodological advancement in the application of distribution functions to longitudinal driving data. © 2017 The Authors

[1]  Patrick Plötz,et al.  How to estimate the probability of rare long-distance trips , 2014 .

[2]  Till Gnann.  Market diffusion of plug-in electric vehicles and their charging infrastructure , 2015 .

[3]  G. J. Hahn,et al.  Statistical models in engineering , 1967 .

[4]  Richard A. Davis,et al.  Introduction to time series and forecasting , 1998 .

[5]  Ryan Smith,et al.  Characterization of urban commuter driving profiles to optimize battery size in light-duty plug-in electric vehicles , 2011 .

[6]  Zhenhong Lin,et al.  PHEV Energy Use Estimation: Validating the Gamma Distribution for Representing the Random Daily Driving Distance , 2012 .

[7]  Randall Guensler,et al.  Electric vehicles: How much range is required for a day’s driving? , 2011 .

[8]  Federico Millo,et al.  Real CO2 emissions benefits and end user’s operating costs of a plug-in Hybrid Electric Vehicle , 2014 .

[9]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[10]  Marc Ross,et al.  Evaluation of energy consumption, emissions and cost of plug-in hybrid vehicles , 2009 .

[11]  Jennifer L. O'Day.  Statistical Significance for Genome Wide Studies Under Unequal Variance , 2015 .

[12]  Tony Markel,et al.  Using Global Positioning System Travel Data to Assess Real-World Energy Use of Plug-In Hybrid Electric Vehicles , 2007 .

[13]  Thomas H. Bradley,et al.  Actual Versus Estimated Utility Factor of a Large Set of Privately Owned Chevrolet Volts , 2014 .

[14]  Federico Millo,et al.  Real CO 2 emissions benefits and end user ’ s operating costs of a plug-in Hybrid Electric Vehicle , 2016 .

[15]  Chris Gearhart,et al.  A statistical approach to estimating acceptance of electric vehicles and electrification of personal transportation , 2013 .

[16]  Sten Karlsson,et al.  Are multi-car households better suited for battery electric vehicles? Driving patterns and economics in Sweden and Germany , 2016 .

[17]  John D. Storey.  A direct approach to false discovery rates , 2002 .

[18]  Michael Alan Tamor,et al.  Electric vehicles in multi-vehicle households , 2015 .

[19]  Sten Karlsson.  The Swedish car movement data project Final report. , 2013 .

[20]  D. Kundu,et al.  Discriminating between the log-normal and generalized exponential distributions , 2005 .

[21]  Martin Wietschel,et al.  Modelling market diffusion of electric vehicles with real world driving data — Part I: Model structure and validation , 2014 .

[22]  David L. Greene,et al.  Estimating daily vehicle usage distributions and the implications for limited-range vehicles , 1985 .

[23]  C. C. Chan,et al.  The State of the Art of Electric, Hybrid, and Fuel Cell Vehicles , 2007, Proceedings of the IEEE.

[24]  Sten Karlsson,et al.  Plug-in hybrid electric vehicles: How individual movement patterns affect battery requirements, the potential to replace conventional fuels, and economic viability , 2015 .

[25]  Hadley Wickham,et al.  ggplot2 - Elegant Graphics for Data Analysis (2nd Edition) , 2017 .