Abstract. 1. Introduction

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The / mode choice to railway terminals Umberto Crisalli & Francesca Gangemi Department of Civil Engineering, «Tor Vergata» University of Rome, via di Tor Vergata snc, 00133 Rome, Italy EMail: crisalli @ mingus. civ. utovrm. it Abstract In this paper the analysis and the simulation of the / mode choice for railway terminals for extraurban medium-long distances trips have been considered. Some descriptive analyses have been carried out depending on trip purpose (work, business, study, other), family income (medium-high, low), possibility of trip cost refundation, possibility of car availability, type of origin/destination place (metropolitan area, big town, small-medium town). In the case of / terminals located in an urban area different from the origin one, nested-logit models have been carried out for different trip purposes, considering level of service attributes and users' characteristics. 1. Introduction Access/ disutility plays a fundamental role in the choice of trip primary mode (car, bus, train, plane) in extraurban trips; for this reason, in the latest years a greater attention has been focused to the analysis and simulation of this trip component (Russo^, Nuzzolo&Russo ). Some works which use behavioural choice models are the ones of Chu & Imada\ Chu et alii', Mukundan^. Particularly, Chu et alii' calibrated a choice model of and modes related to a suburban railway station and Mukundan^ calibrated a nested logit model for the joined choice of mode and station related to the urban railway system of Washington DC. This paper aims to analyse and simulate the / mode choice to railway terminals for medium-long distance extraurban trips. Such an activity has been carried out within the implementation of a Decision Support System aimed to modelling the impacts of changes in railway fares and services,

44 Urban Transport and the Environment for the 21st Century developed by FS Italian Railways, as described in the following. In the first part of the paper, the general structure of the DSS is shortly described and a general analysis of the / modes used by the users of the Turin-Venice railway corridor is reported; in the second part a nested logit model for the simulation of the / mode choice is reported. 2. The DSS general structure model In the DSS (named SASM, that is System of Analysis and Simulation for operational Marketing, Sintra^) the user's choices in extraurban context are simulated and they regard: primary mode (car, bus, plane, fast train, slow train, night train), service and/or class when it concerns a multiservice mode with several comfort classes, run to be used, / terminals, / modes to terminals. The behavioural model used to simulate such a decisional process is a treelogit type (Ben Akiva & Lerman'; Daganzo & Kunsic^) and it is based on the random utility theory. It allows to simulate the existing covariance among alternative's sets which share a set of attributes that the user perceives in "similar" mode (figure 1). O,D,p PRIMARY MODE driver pax SERVICE RUN/ TERMINAL CLASS ACCESS/EGRESS MODE Figure 1: The intercity modal choice tree Because of general model complexity, at the moment a tree-logit model related to the railway services has been calibrated (Cascetta^), in which railway service, run and class choices are simulated (figure 2). As regards the attributes of / modes, distances are actually used as proxy of / disutilities. Actually analysis and modelling of the / choice model, whose first results are this paper's aim, are in progress. Through the obtained models, the inclusive utility of / choices inside the general choice model for railway services will be used and then it will be possible to calibrate some models with a further level to simulate / choices.

Urban Transport and the Environment for the 21st Century 45 n Fast + / x \Slow c, SERVICE I II I II I II I II Figure 2: Tree-logit model for railway services 3. The used demand database For the analysis and calibration of choice models of / mode to railway terminals, a data base related to a on-board train survey on the Turin- Venice railway corridor, carried out by FS Italian Railways, has been used. It regards: counts of passengers (approx. 50,000) boarding Intercity, Express, Interregional and Regional trains on a working day, with interviews on origins and destinations; survey of a sample of about 10,000 users, with questions regarding terminals used, and mode, trip purpose, target time and socio-economic characteristics. In particular they were asked: age, sex, habitual residential district, family role, family components number, educational level, professional position, income, number of cars in family, driving licence possess and car availability for the trip. 4. General analysis results Generally, talking about modality we refer to all users available alternatives modes to reach the departure terminal of primary mode (where primary mode means used mode for most trip); on the contrary talking of modality we refer to users available alternative modes to reach the destination from the terminal of primary mode. We recognize as choice alternatives set for / mode, respectively I() = [Fed, L&R, P&R, Tr, Taxi] I() = [Fed, L&R, Tr, Taxi] where: Fed = Pedestrian; L&R = Left&Ride (for example Kiss&Ride); P&R=Park&Ride; Tr = Transit; Taxi = Taxi. The analysis has been carried out considering four trip purposes: Work, Business, Study, Other, distinguishing Home in origin from Home in destination. It remarks the existence of a symmetry between the for on going trips and the for trips and vice versa (Figure 3). In this context, on the behavioural point of view, «Access» is defined to be the hometo-terminal trip (for the trip) and the terminal-to-home trip (for the

46 Urban Transport and the Environment for the 21st Century trip) (Table 1). Similarly, «Egress» is defined to be the terminal-todestination trip (for the trip) and the destination-to-terminal trip (for the trip) (Table 2). Fed L&R P&R Tr Taxi Other Total 7% 39% 22% 1% 14% Work 20% 12% 32% 22% 1% 13% 14% 9% 31% 26% 10% 11% «Acce&y» Business 10% 25% 29% 6% 14% 12% 12% 26% 27% 0% 23% Study 14% 12% 25% 0% 32% Table 1: «Access» mode distribution 15% 32% 4% Other 13% 9% 13% 45% 4% Fed L&R Tr Taxi Other Total 45% 2% 43% 1% 8% Work 41% 3% 47% 1% 8% Access Return 22% 11% 49% 14% 4% «Egress» Business 39% 9% 37% 11% 4% 54% 0% 40% 1% 5% Study 60% 3% 33% 0% 4% Table 2: «Egress» mode distribution 27% 12% 44% 5% 11% Other 27% 40% 8% 10% Terminal A Terminal B 'Egress'» trip O Origin/Destination - trip Q Terminal Figure 3: «Access»l«Egress» in and trips

Urban Transport and the Environment for the 21st Century 47 Origins and destinations have been divided in four categories: Metropolitan areas: Milan, Turin, Genoa, Rome, Naples, Palermo; Big towns: towns with more than 150.000 inhabitants; Medium towns: towns with a population between 20.000 and 150.000 inhabitants; Small towns: towns with less than 20.000 inhabitants; as town dimension may influence the choice for the reason that bigger towns has generally greater supply of services (think of the subway or other transit services) so to increase the use of transit. Furthermore five different users categories have been considered: reimbursed (cat. 1); not reimbursed with low income (family income less than 40 millions ITL a year) and with car availability (cat. 2); not reimbursed with low income and no car availability (cat. 3); not reimbursed with medium-high income (family income more than 40 millions ITL a year) and with car availability (cat. 4); not reimbursed with medium-high income and no car availability (cat. 5); To take into account the different transit supply for «Access»/«Egress» trips inside the same urban area and the ones among different urban area, we carried out a differentiated analysis. 4.1 The «Access»l«Egress» mode distribution inside the same urban area From the analysis of «Access»l«Egress» mode distribution we find out: the percentage concerning transit tends to increase when town dimensions increase independently from trip purpose both for «Access» and for «Egress» (from 20-30% to 40-50%) (figures 4 V7); the percentage concerning Park&Ride is predominant for work and business purposes and increases in small and medium towns to the detriment of transit mode (figures 5,7); the share of «Egress» pedestrian mode is about 30% (with a 42% peak for Work purpose) considering Metropolitan area and big town, while for medium and small towns the share is about 40% with a 63% peak for Work purpose; for study purpose the share of pedestrian trips (about 38%) and of transit (about 30%) is constant both for the «Access» and the «Egress» and it is independent from town type; Left&Ride choice is quite constant (5-10%) independently from town dimension and trip purpose and even user's categories(figure 8); Taxi alternative choice results significant only for Business purpose and for reimbursed users and then it increases when town dimensions increase where the supply of such a service increases; the pedestrian and transit alternative choice is greater for users

48 Urban Transport and the Environment for the 21st Century categories with no car availability, as aspected. 60% i 50% 40% - j 30% 20% + 10% 0% Fed L&R P&R Tr Taxi Other I Work 11 I I M Business!! D Study Figure 4: «Access» mode distribution in Metropolitan Area and Big Town. DWork BB Business j ' O Study D Other I Fed L&R P&R Tr Taxi Other Figure 5: «Access» mode distribution in Medium and Small Town. Figure 6: «Egress» mode distribution in Metropolitan Area and Big Town.

Urban Transport and the Environment for the 21st Century 49 Fed L&R Tr Taxi Other DWork Business j i D Study I D Other Figure 7: «Egress» mode distribution in Medium and Small Town. 4.2 The «Access» mode distribution with the terminal belonging to a different urban area from the origin trip one We notice that it was not possible to carry out the «Egress» analysis, we have only a few available interview, as the user prefers, if he can afford it, to use private transport or possible direct links on bus when the terminal of railway services belongs to a different urban area from the origin trip one. From the comparison with results obtained for terminal belonging to the same urban area we can observe: the percentage relative to car (both P&R, L&R) increases and the percentage relative to transit decreases for work, business and other purpose and even for reimbursed categories, while for study purpose the percentage relative to transit increases from 33 to 45%; the percentage of users not reimbursed with low income, that chooses mode P&R decreases from 60% to 30% (Figures 4,5,8); the percentage of users that choose L&R decreases from 20% to 10%. H Work j Business \ D Study ' D Other L&R P&R Tr Taxi Other Figure 8: «Access» mode distribution for different purpose.

50 Urban Transport and the Environment for the 21st Century 70% i 60% L&R P&R Tr Taxi Other Figure 9: «Access» mode distribution for different categories. 5 «Access» mode choice model In the following, the results of specification and calibration of a nested-logit model for the mode choice are reported; the is relative to terminals belonging to a different urban area from the origin one. Here below we report the utility functions for each alternative: Car / /. Tr P&R L&R Figure 10: Nested-logit model for «Access» mode, C,, + P, Trm_type + p,tr where: j P&R, L&R, Tr; Tj = «Access» time mode J[h]; C = monetary cost for mode J [ITL* 1000]; Inc_mh is a dummy variable that is equal to one if the user has a medium-high income, zero otherwise; Trm_type is a dummy variable equal to one if the terminal belongs to a

Urban Transport and the Environment for the 21st Century 51 Metropolitan area or to a big town, zero otherwise; Comp is a dummy variable equal to one if the users travel accompanied, zero otherwise; Tr is a dummy variable equal to one in utility function related to Transit, zero otherwise; L&R is a dummy variable equal to one in utility function related to Left&Ride, zero otherwise. Furthermore the car alternative is available only if the family car number is more than zero, and the alternative P&R is available only if the user is licensed and has an available car; from the analysis the Taxi alternative results little used and then it is excluded from choice model. Model is calibrated for four different purposes: work, business, study, other and results are reported in table 3; we can observe that all coefficients have correct signs and most are statistically significant. Moreover the value of time (VOT) is strictly linked with trip purpose, in fact people who travel for business or other purposes is willing to pay more than the double respect to people who travel for systematic purpose (as work). Then we note, that for study purpose time is not a perceived attribute, while great importance is given to trip monetary cost. Time Cost Inc_mh Trm_type Comp Tr L&R e_car P~ VOT (IT ) P -4.83-1.11 1.06 0.75 2.16-1.68 033 Work t ratio (-2.71) (-3.35) (1.98) (1.87) (2.12) (-4.05) (5.20) Business P -430-0.40 0.41 T ratio (-1.75) (-1.28) (0.68) P -1.08-039 0.59 1.04 Study -1.77 (-5.14) -0.86 0.70 (0.93) 037 0.31 4350 024 10750 0.1 2500 Table 3: Calibration results t ratio (-2.01) (-2.69) (2.67) (3.07) (-4.72) (3.74) P -3.76-033 1.06 025-1.44 0.77 Other t ratio (-1.92) (-1.79) 0. 11 11500 (2.47) (0.32) (-4.4) (1.19)

52 Urban Transport and the Environment for the 21st Century References 1. Ben Akiva, M. & Lerman, S.R. Discrete choice analysis, MIT Press, Cambridge, Massachusetts, 1985. 2. Cascetta, E., Nuzzolo, A., Biggiero, L. & Russo, F. A system of within-day dynamic demand and assignment models for scheduled intercity services, Proceedings of the 24th Summer Annual Meeting PTRC European Transport Forum, Brunei University, England, 1996. 3. Chu, C. & Imada, T. A capacity-restrained mode of arrival/mod of departure model for metro rail planning, Proceedings of the 6th World Conference on Transportation Research, Lyon, France, 1991. 4. Chu, C., Sun, J., Chang, T. T., Fang, G.R. & Tsao, I.T. Development of Mode-of-Departure Models For Rail Transit Planning in Tapei, Proceedings of the 7* International Conference on Travel Behaviour, Valle Nevado, Santiago, Chile, 1994. 5. Daganzo, C.F. & Kusnic, M. Another look at the nested logit model, Report ITS, University of California at Berkley, 1992. 6. Mukundam, S. An Mode and Station Choice Model for the Washington, DC Metro Rail System, Proceedings of the COMSIS Corporation, Fairfax, Maryland, 1991. 7. Nuzzolo, A. & Crisalli, U. A DSS for tactical planning of intercity railway services Proceedings of the 8^ IF AC Symposium on Transportation, Crete, Greece, 1997. 8. Nuzzolo, A. & Russo, F. Modelli per Vanalisi e la simulazione dei sistemi di trasporto collettivo Franco Angeli, Milano, 1997. 9. Russo, F. L'interazione tra i sistemi di trasporto collettivo a bassa frequenza ed i sistemi di Accesso ed Egresso, Part II Chapter 1, Modelli e metodi per Vanalisi dei sistemi di trasporto ed A. Nuzzolo & F. Russo, pp 77-98, Franco Angeli, Milano, 1997. 10. S. IN. TRA., Sistema di analisi e simulazione per il marketing operative ASA Passeggeri - Ferrovie dello Stato S. p. A., 1996/97.