Using nonparametrics to specify a model to measure the value of travel time

Using a range of nonparametric methods, the paper examines the specification of a model to evaluate the willingness-to-pay (WTP) for travel time changes from binomial choice data from a simple time-cost trading experiment. The analysis favours a model with random WTP as the only source of randomness over a model with fixed WTP which is linear in time and cost and has an additive random error term. Results further indicate that the distribution of log WTP can be described as a sum of a linear index fixing the location of the log WTP distribution and an independent random variable representing unobserved heterogeneity. This formulation is useful for parametric modelling. The index indicates that the WTP varies systematically with income and other individual characteristics. The WTP varies also with the time difference presented in the experiment which is in contradiction of standard utility theory.

[1]  H. Gunn,et al.  AN INTRODUCTION TO THE VALUATION OF TRAVEL-TIME SAVINGS AND LOSSES. IN: HANDBOOK OF TRANSPORT MODELLING , 2007 .

[2]  Joel L. Horowitz.  Semiparametric Methods in Econometrics: Lecture Notes in Statistics 131 , 1998 .

[3]  Kenneth Train,et al.  Discrete Choice Models in Preference Space and Willingness-to Pay Space , 2005 .

[4]  Reza Mortazavi,et al.  ANOMALIES IN THE VALUE OF TRAVEL-TIME CHANGES , 2001 .

[5]  A. Ullah,et al.  Nonparametric Econometrics , 1999 .

[6]  T. Garling.  Theoretical Foundations of Travel Choice Modeling , 1998 .

[7]  C. Oort,et al.  THE EVALUATION OF TRAVELLING TIME , 1969 .

[8]  P. Mackie,et al.  THE VALUE OF TRAVEL TIME SAVINGS IN EVALUATION , 2001 .

[9]  M. Fosgerau.  Unit income elasticity of the value of travel time savings , 2005 .

[10]  J. Horowitz.  SEMIPARAMETRIC ESTIMATION OF A WORK-TRIP MODE-CHOICE MODEL / , 1993 .

[11]  R. Spady,et al.  AN EFFICIENT SEMIPARAMETRIC ESTIMATOR FOR BINARY RESPONSE MODELS , 1993 .

[12]  Trudy Ann Cameron,et al.  Efficient Estimation Methods for "Closed-ended' Contingent Valuation Surveys , 1987 .

[13]  Turalay Kenc,et al.  Ox: An Object-Oriented Matrix Language , 1997 .

[14]  Benjamin Heydecker,et al.  A discrete choice model incorporating thresholds forperception in attribute values , 2006 .

[15]  Michel Bierlaire,et al.  A practical test for the choice of mixing distribution in discrete choice models , 2005 .

[16]  A. Tversky,et al.  Prospect theory: an analysis of decision under risk — Source link , 2007 .

[17]  A. Tversky,et al.  Prospect theory: analysis of decision under risk , 1979 .

[18]  D. McFadden.  MEASURING WILLINGNESS-TO-PAY FOR TRANSPORTATION IMPROVEMENTS. , 1998 .

[19]  Mogens Fosgerau,et al.  Investigating the distribution of the value of travel time savings , 2006 .

[20]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[21]  K. McConnell.  Models for referendum data: The structure of discrete choice models for contingent valuation , 1990 .

[22]  A. Deserpa.  A Theory of the Economics of Time , 1971 .

[23]  A. Tversky,et al.  Loss Aversion in Riskless Choice: A Reference-Dependent Model , 1991 .

[24]  H. Williams,et al.  THE SENSITIVITY OF TRANSPORT INVESTMENT BENEFITS TO THE EVALUATION OF SMALL TRAVEL-TIME SAVINGS , 1997 .

[25]  M. B. Johnson.  TRAVEL TIME AND THE PRICE OF LEISURE , 1966 .

[26]  Jianqing Fan,et al.  Local polynomial kernel regression for generalized linear models and quasi-likelihood functions , 1995 .

[27]  Another test of the theory of reference-dependent preferences: the trade off between money and time , 2006 .

[28]  J. Horowitz.  Semiparametric Methods in Econometrics , 2011 .

[29]  S. Jara-Díaz.  Allocation and Valuation of Travel-Time Savings , 2007 .

[30]  Bruno De Borger,et al.  Discrete choices and the trade-off between money and time: A test of the theory of reference-dependent preferences , 2007 .

[31]  Wolfgang Härdle,et al.  Applied Nonparametric Regression , 1991 .

[32]  Jurgen A. Doornik,et al.  Ox: an Object-oriented Matrix Programming Language , 1996 .

[33]  I. Bateman,et al.  A Test of the Theory of Reference-Dependent Preferences , 1997 .

[34]  J. Zheng,et al.  A consistent test of functional form via nonparametric estimation techniques , 1996 .

[35]  J. Bates,et al.  Size and sign of time savings , 2001 .

[36]  Fabio Trojani,et al.  Semiparametric Regression for the Applied Econometrician , 2006 .

[37]  D. McFadden,et al.  MIXED MNL MODELS FOR DISCRETE RESPONSE , 2000 .

[38]  David A. Hensher,et al.  Handbook of Transport Modelling , 2000 .

[39]  David A. Hensher,et al.  Measurement of the Valuation of Travel Time Savings , 2000 .