PUBLIC TRANSPORTATION RESEARCH STUDY

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PUBLIC TRANSPORTATIONRESEARCH STUDYPrice Elasticity of Rideshare:Commuter Fringe Benefits for VanpoolsFrancis Wambalaba, PhD, AICPPrincipal InvestigatorSisinnio ConcasCo-Principal InvestigatorMarlo ChavarriaGraduate Research AssistantJune, 2004

CENTER FOR URBAN TRANSPORTATION RESEARCHUniversity of South Florida4202 E. Fowler Avenue, CUT100Tampa, FL 33620-5375(813) 974-3120, SunCom 574-3120, Fax (813) 974-5168Edward Mierzejewski, P.E., CUTR DirectorJoel Volinski, NCTR DirectorDennis Hinebaugh, Transit Program DirectorThe contents of this report reflect the views of the author, who is responsible for the facts and the accuracyof the information presented herein. This document is disseminated under the sponsorship of theDepartment of Transportation, University Research Institute Program, in the interest of informationexchange. The U.S. Government assumes no liability for the contents or use thereof.ii

TECHNICAL REPORT STANDARD TITLE PAGE1. Report No.2. Government Accession No.3. Recipient's Catalog No.NCTR 527-14, FDOT BC137-524. Title and Subtitle5. Report DatePrice Elasticity of Rideshare: Commuter FringeBenefitsJune 20047. Author(s)8. Performing Organization Report No.6. Performing Organization CodeFrancis Wambalaba, PhD., AICP, Sisinnio Concas and MarloChavarria9. Performing Organization Name and Address10. Work Unit No.National Center for Transportation ResearchCenter for Urban Transportation ResearchUniversity of South Florida4202 E. Fowler Avenue, CUT 100, Tampa FL 33620-537512. Sponsoring Agency Name and Address11. Contract or Grant No.DTRS 98-9-003213. Type of Report and Period CoveredOffice of Research and Special ProgramsU.S. Department of Transportation, Washington, D.C. 20690Florida Department of Transportation605 Suwannee Street, MS 26, Tallahassee, FL 3239914. Sponsoring Agency Code15. Supplementary NotesSupported by a grant from the Florida Department of Transportation and the U.S.Department of Transportation16. AbstractThe goal of this research project was to determine the price elasticity of rideshare withspecific objectives of helping to assess what the effect on ridership would be if theeffective price paid by the traveler was substantially reduced (i.e., increase in employerco-pay) or increased (i.e., decrease in employer co-pay). While there are multiple modesfor providing rideshare, this research was limited to the study of vanpools. Thequantitative analysis used the Puget Sound data set and applied the regression and Logitmodels to analyze the impact of fares and other factors on mode choice. Furtherqualitative analysis was done using simple elasticity and tabular analyses using data setsfrom several Florida agencies and others from other states to provide an overview ofvanpool elasticities and operations in general. While the study found only a limitedinterpretation of the elasticity, it generated a significant interest in the role of employersubsidies17. Key Words18. Distribution e to the public through the National TechnicalInformation Service (NTIS), 5285 Port Royal,Springfield, VA 22181 ph (703) 487-465019. Security Classif. (of this report)20. Security Classif. (of this page)21. No. of pagesUnclassifiedUnclassified70Form DOT F 1700.7 (8-69)iii22. Price

AcknowledgmentsThis report is prepared by the National Center for Transit Research through thesponsorship of the Florida Department of Transportation and the U.S. Department ofTransportation.FDOT Project Team:Michael Wright, Transit Planning Program Manager, Florida Department ofTransportationCUTR Project Team:Principal Investigator:Francis Wambalaba, PhD, AICPCo- Principal Investigator:Sisinnio ConcasResearch Assistant:Marlo ChavarriaPrincipal Authors:Francis Wambalaba, PhD., AICP, CUTRMarlo Chavarria, CUTRContributors:Phil Winters, Center for Urban Transportation ResearchProject Review Team:Internal Reviewers:Victoria Perk, Center for Urban Transportation ResearchJoel Volinski, Center for Urban Transportation ResearchDennis Hinebaugh, Center for Urban Transportation ResearchExternal Reviewers:Barbara Kyung Son, PhD., California State & Pepperdine UniversityEric Schreffler, Transportation Consultant, ESTC.Lori Diggins, LDA ConsultingAcknowledgements for Data Resources:Florida OrganizationsVOTRAN, Daytona LYNX, OrlandoMiami-Dade MPOVPSI, MelbourneSouth Florida Commuter ServicesNon Florida OrganizationsPuget SoundC-TranSpokane TransitVanGO, ColoradoivManatee County of GovernmentsBay Area Commuter ServicesCommuter Services of North Florida

Table of ContentsACKNOWLEDGMENTS . IVTABLE OF CONTENTS .VEXECUTIVE SUMMARY .VIICHAPTER ONE: INTRODUCTION .1Concept of Elasticity. 2Research Tasks. 2Report Organization. 4CHAPTER TWO: REVIEW OF LITERATURE AND PAST CASE STUDIES.5Empirical Studies . 5Vanpool Oriented Studies. 5Transit Oriented Studies . 6Public Subsidy . 8TCRP Project H-6 Synthesis: A Comprehensive Review . 8Price Elasticities for Transit. 9Cross-Price Elasticities of Auto Use with Respect to Transit Price . 9Cross-Price Elasticities of Transit Use with Respect to Auto Price . 10CHAPTER THREE: QUANTITATIVE ANALYSIS .12The Study Hypothesis. 13Explaining Hypothesized Variables. 14Puget Sound Case Study . 16Objective of the Analysis Using Puget Sound Data . 16Data Analysis Using 1997 Data Set. 17Data Description . 17Observational Data. 18Constructed Data. 19Data Analysis . 21Mode Choice Frequencies. 21Mode Choice Frequencies With Subsidies . 22Variable Aggregations and Correlations. 22The Model . 23The Regression Model . 24Parameter Inference . 25The Logit Model . 26Research Findings. 26Conclusions and Caveates. 28Data Analysis Using 1999 Data Set. 29Why Consider Additional Predictors? . 29Why Use the 1999 Dataset? . 29v

Data Analysis . 30The Model . 31Multinomial Logit Model for 1999 dataset. 31Parameter Inferences. 32Research Findings. 32Model Improvement: The Nested Logit Model Approach . 34Conclusions. 36CHAPTER FOUR: QUALITATIVE ANALYSIS.38Simple Elasticity Analysis Case Studies. 38Non-Florida Organizations . 39VanGo . 39Florida Agencies . 40VOTRAN . 40LYNX . 41Tabular Analysis Case Studies. 42Non-Florida Organizations . 42C-Tran . 42Spokane Transit . 43Florida Organizations . 43Manatee County Government . 43VPSI-Melbourne . 45South Florida Commuter Services . 46Bay Area Commuter Services. 47Commuter Services of North Florida. 47CHAPTER FIVE: CONCLUDING OBSERVATIONS ANDRECOMMENDATIONS.48Evidence of Growth Trends . 48Potential Opportunities . 50Analytical Findings. 50Model Specific Limitations. 50General Limitations of the Study. 51REFERENCES.52APPENDIX: DATA FIELDS BASED ON SURVEY QUESTIONS.57vi

Executive SummarySection 132(f) of the Internal Revenue Code allows most employers to provide a tax-freebenefit to employees of up to 100 per month for transit and vanpool fares and up to 185 per month for parking fees.1 It has been hypothesized that transit and vanpool copay programs by employers could have a dramatic impact on transit ridership as well asother alternatives to driving alone. Given that the maximum amount an employee canapply towards the current tax benefit program is 100 per month for transit andvanpooling, it could be argued that employees who receive such a benefit from theiremployers could be receiving services at a very low cost or even for free and therefore,potential ridership should be significantly higher. To determine the potential impact ofsuch programs, a research on price elasticity of vanpool fares or subsidies becomesessential.The goal of this research project was to determine the fare elasticity of rideshare,especially where there were large changes in fares or subsidies. Because of limitedresources and the multiple modes for providing rideshare, this research was limited to thestudy of vanpools only.The MethodologyThis study included a review of current literature, collection of data from rideshareorganizations around the country and the development of a model for analysis.Literature Review: The study attempted to identify gaps in current efforts to measurefare elasticity of rideshare through the review of literature. The research reviewedliterature to determine the state of the measurement practice especially as it pertains torideshare service. One of the key background resources in the literature review was theLinsalata and Pham transit study which modeled the conceptual and theoretical approachfor identifying variables and pertinent analysis. The two other resources which providedpossible parameters from which to compare the nature of outcomes were the TCRPproject H-6 synthesis which focused on transit related elasticities and a CUTR studywhich focused on vanpools.Data Collection: As part of this project, the study collected primary and secondary datafrom a variety of sources including rideshare organizations from various parts of thecountry. Unfortunately, there was a very low response from rideshare organizations. Asa result, the study was only able to perform a quantitative analysis using Puget Sounddata generated as part of an employer Commute Trip Reduction regulation. Most of theother data were used to perform qualitative analysis. This included simple directcalculation of point elasticity of demand with respect to own price while holding constant1These costs are as of 2003.vii

other factors such as alternative modes, job type, distance, etc. In some cases where therewas no change in fares or subsidy, a tabular or trend analysis was used.The quantitative analysis used logistic regression modeling techniques to investigate thechoice of vanpool services and the effects of subsidy programs and price on vanpooldemand. Using the Puget Sound employer and employee data from the 1997 CommuteTrip Reduction (CTR) program surveys of the state of Washington, a conditional discretechoice model was built to analyze the choice of vanpool services with respect tocompeting means of transportation as a function of various socio-economiccharacteristics. The purpose was to estimate changes in demand that would occur as aresult of changes in vanpool fares. It also addressed some of the issues and shortcomingsof similar previous models, specifically by accounting for competing modes oftransportation, including socio-economic predictors such as job types, assessing theimpact of a subsidy on the choice of vanpool services and providing a new estimate ofelasticity of vanpool choice with respect to its price.The Model: While employing the conceptual framework of the Linsalata and Pham studyin the transit industry, the model was improvised for application in the vanpool industryusing a utility approach. The variables for the analysis included mode choice (drivealone, carpool, vanpool and transit), work status and commute distance using bothobservational and constructed data from 1997 and 1999. Among other analyses, thestudy included a logit model (which employs a utility function by assuming a non linearrelationship between probabilities on explanatory variables) and a nested logit model(which considers existence of different competitive relationships between groups ofalternatives). To address potential multicollinearity problems, a regression analysis wasrun, followed by the application of both the logit and nested logit models.Study FindingsThe 1997 database was selected because of its size after screening out non-useful data.However, a supplementary analysis was also done to allow use of a more recent datafrom 1999. The 1997 study included an estimation of the effects of vanpool cost,vanpool subsidy, work status and fare elasticity. The analysis revealed the followingfindings:Vanpool Cost (Operating Cost): The estimated parameter associated with the vanpoolcost variable had a value of -0.0263 which translated into an odds ratio value of -2.6%.That is, a one dollar increase in vanpool price is associated with a 2.6% decrease in thepredicted odds of choosing vanpool with respect to drive alone. Conversely, a dollardecrease in fare, due to subsidies or fare reductions, would be associated with a 2.6%increase in vanpool ridership.Vanpool Subsidy (Dummy Variable for Participant Discounts): The estimated parameterwas 0.0855 or the odds ratio of 1.089, which implies that the predicted odds of choosingvanpool with respect to drive alone increase by 8.9% when the employee is offered asubsidy, should he/she consider using a vanpool.viii

Work Status: The model predicts that employees working in the administrative andtechnical fields are more likely to choose vanpool over the automobile. In particular, ifthe employee works in the administrative field, the odds of choosing a vanpool increaseby about 50% with respect to auto, while they increase by 23% if the employee works inthe technical services field.Fare Elasticity (Participation Fee): When the estimate for elasticity was done, thepredicted value of elasticity for this sample dataset was equal to -0.61. This value meansthat for each 10% increase in vanpool price, there is a 6% decrease in vanpool choicewith respect to auto. Conversely, a 10% decrease in vanpool price will increase the oddsof choosing vanpool (with respect to auto) by 6%. This result indicates that vanpoolchoice is relatively inelastic to price changes.The research was also interested in analyzing a more recent dataset to investigate thereliability of the model and congruency of parameter estimates. Therefore, a seconddataset was built for the year 1999. The same approach used to build the 1997 datasetwas applied to the 1999 dataset. The findings were as follows:Vanpool Cost (Operating Cost): The estimated parameter associated with the vanpoolcost variable was -0.1603 which translated into a value of -14.8%, i.e., a one dollarincrease in vanpool price is associated with a 14.8% decrease in the predicted odds ofchoosing vanpool with respect to drive alone. This represents a significant departurefrom what was estimated by the model using 1997 data.Vanpool Subsidy (Dummy Variable for Participant Discount): The estimated parameterwas 1.02 whose odds ratio was 2.79, which implies that the predicted odds of choosingvanpool with respect to drive alone increase by 1.79 times when the employee is offereda subsidy, should he/she decide to use vanpool.Work Status: The results using the 1999 dataset were not robust, since most of theestimated parameters associated with the dummy variables were not statisticallysignificant.Fare Elasticity (Participation Fee): The predicted value of elasticity for the 1999 sampledataset was equal to -1.34. This value means that for each 10% increase in vanpool pricethere is a 13.4% decrease in vanpool choice with respect to auto. Conversely, a 10%decrease in vanpool price will increase the odds of choosing vanpool (with respect toauto) by 13.4%.Nested Logit Fare Elasticity: One last approach that was tried in the analysis considersthe application of a nested logit model. The nested logit model allows the user toconsider the existence of different competitive relationships between groups ofalternatives in a common nest and represents a theoretical improvement upon the simplemultinomial (conditional) logit model. The assumption was that both drive alone andcarpool are closed means of transportation, due to their mode specific characteristics.ix

Using the McFadden formula to derive an estimate of the direct elasticity for a modeoutside the nest (such as vanpool), a weighted average of individual elasticities werecomputed across those individuals that chose vanpool in the sample data. The elasticityvalue was approximately -1.14. This value means that for each 10% increase in vanpoolprice there is an 11.4% decrease in vanpool choice across the group of individuals thatchose vanpool. Conversely, a 10% decrease in vanpool price increases the group odds ofchoosing vanpool by 11.4%. This estimate of elasticity is much higher than what wasobtained with the simple multinomial logit model (using the 1997 dataset), and similarlyindicating that vanpool is relatively elastic to price changes.A summary of these values are restated in the table below.Table E.1: Summary of Key FindingsSample SizeVariable ValuesVanpool CostVanpool SubsidyOdds RatiosWork StatusVanpool CostVanpool SubsidyFare Elasticity1997 Data207,0541999 Data109,275Nested Logit109,275-0.02630.0855-0.1601.02N/AN/AAdmin 50%Tech 23%-2.5%8.9%-0.61Not significantNot significant-14.8%1.79 times-1.34N/AN/AN/AN/A-1.14Study LimitationsTwo types of limitations were experienced. The first type related to model specification.The second type was of general nature in relation to the overall study.Model Specific Limitations: Results from the logit model have to be considered in thelight of the dataset used to estimate the model. The model was constructed using onlydata from the Puget Sound and therefore specifically applies only to this region. Careshould be exercised when considering the practical applicability of such results in apolicy setting context outside the Puget Sound.Similarly, results from the nested logit model are dependent on the dataset used and thehypothesized nest. Other hypothetical nests could be conceived, each potentially leadingto different elasticity estimates. Care should therefore be exercised when considering thepractical applicability of such results in a policy setting context.General Limitations of the Study: Because of the limited scope of data (from a regionalperspective) and a short history of the study of elasticity in the vanpool industry (from alongitudinal perspective), this study does not provide a silver bullet with which one canmake conclusive explanations about fare elasticity in the vanpool industry. Unlike thetransit industry which for a while could count on the Simpson-Curtin rule of thumb, thex

limited scope of data in this study makes it difficult to provide a more generalizedapplication of findings.However, the study provides a framework from which subsequent studies can employdiverse research and refine the methodologies towards more reliable results. These couldinclude a wide representation of participating regions, a rich longitudinal collection ofdata and a significant amount of data with large and small fare changes to provide anadequate data base for analysis.Study RecommendationsThis study calls for a more comprehensive study that would allow for a wider scope ofdata from several organizations across the country. Some of the key areas to pay moreattention to in future research involve the participation of multiple organizations,availability of data and interpretation of the model.Participation: First, the scope of this study was constrained by the funding resourcesavailable. To secure a large sample of data, a larger funding level will be necessary. Thiswill help collect data from multiple locations and hopefully over a long term period.Secondly, the success of future studies will depend on the willingness of rideshareorganizations and vendors to participate. In the request for data, the responses fromrideshare organizations were very much limited. Without large participation, the findingsfrom similar studies will continue to remain constrained. Thirdly, for those offering toparticipate, it is important that they follow up with fulfillment of the data requests.Data Availability: Related to the level of participation is the need for large, high qualityand comparable data sets. First, the larger the data set, the more reliable are the findingsfrom the analysis. However, more important is the quality of data. This includes theaccuracy and representativeness of variables selected for data collection. Finally,consistency of the types of data collected between rideshare organizations is vital for bothcomparability of performance measures and analytical results. It is therefore imperativethat the vanpool industry develop guidelines for comparable data collection.Interpretation: For a successful analysis, the model needs to recognize the multiplicity offactors influencing mode choice. Without such recognition, there is not only potential formisinterpretation of the results, but respective policy actions may be flawed. Similarly,because of the multiple factors involved, there is a need to design consistent models toprovide comparable analysis and interpretation. Related to model design, it is alsoimportant to recognize the dilemma and implication of using a subsidy or a discount.While a 40 cash subsidy is materially equivalent to a 40 discount, the effects of adiscount in the long run appears to diminish especially to new users who may considerthe discounted fare as a regular fare, and therefore it minimizes its incentive impact.xi

Chapter One: IntroductionWhile several studies have been conducted to measure respective elasticities in the transitservice sector, very few have been done to measure price elasticity of rideshare.Therefore, the goal of this research project was to determine the price elasticity ofridesharing modes with specific objectives of helping to assess what the effect onridership would be if the effective price was substantially reduced. However, because ofthe multiple modes for providing rideshare, this research was limited to the study ofvanpools. Part of the study will include the impact of subsidies on rideshare. Forexample, section 132(f) of the Internal Revenue Code allows most employers to provide atax-free benefit to employees of up to 100 per month for transit and vanpool fares andup to 185 per month for parking fees. It has been hypothesized that transit and vanpoolco-pay programs by employers could have a dramatic impact on transit ridership as wellas other alternatives to driving alone. Given that the maximum amount an employee canapply towards the current tax benefit program is 100 per month for transit andvanpooling, it could be argued that employees who receive such a benefit from theiremployers could be receiving transit services at a very low cost or even for free withoutpublic subsidies and therefore, ridership potential should be significantly higher.It is uncertain whether the ranges of price changes in similar previous studies were sosmall that the new maximum allowable amounts of up to 100 per month co-pays wereoff the chart. There is no way of knowing what the impact would be on ridership since itfalls outside of the range of experiences used during subsequent studies. For example,what would the impact be for large decreases in transit fares such as from 1.00 to 0.00per trip instead of observing ridership changes for small increases such as from 1.00 pertrip to 1.25 per trip? How about impacts of large increases in parking costs from freeparking to 80 per month, or implementation of parking cash out?One of the objectives in this study was to include large subsidy or fare variations bycompanies that have made major changes in their co-payment program. The studyconsiders the application of the Linsalata and Pham transit study methodology in thevanpool industry. The study attempted to identify gaps in current efforts to measure priceelasticity of rideshare. The research reviewed literature to determine the state of themeasurement practice especially as it pertains to rideshare service. Three key tasks wereenvisioned. First, the study reviewed literature to either refute or support the currentlyperceived unmet gaps, both in terms of findings and methodology. Secondly, the studycollected data from both secondary and primary sources to do the analysis. Finally, basedon the findings from the analysis, the study provides both policy implications andrecommendations for future research needs. While data observations for the study weresolicited from around the country, efforts were made to include a heavy representationfrom the State of Florida according to the scope of the project.This study should be applicable for det

VOTRAN, Daytona LYNX, Orlando Manatee County of Governments Miami-Dade MPO VPSI, Melbourne Bay Area Commuter Services South Florida Commuter Services Commuter Services of North Florida Non Florida Organizations

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