Development of a Transit Model Incorporating the Effects of Accessibility and Connectivity 9 th Conference on the Application of Transportation Planning Methods Baton Rouge, Louisiana April 6-10, 2003
Research Team Ram M. Pendyala Dept of Civil & Environmental Engineering, Univ of South Florida, Tampa Steve Polzin & Xuehao Chu Center for Urban Trans Research (CUTR), Univ of South Florida, Tampa Seongsoon Yun Gannett Fleming, Inc., Tampa Fadi Nassar Keith & Schnars PA, Fort Lauderdale Project Manager: Ike Ubaka Public Transit Office, Florida Dept of Transportation, Tallahassee Programming Services: Gannett Fleming, Inc.
Outline Background History of transit model development in Florida BEST 3.0: Third generation transit model system Role of accessibility and connectivity BEST 3.0 methodology Accessibility/connectivity methodology Model development Data Estimation Application
Background Transit systems planning and analysis Accessibility Availability Quality of Service Ridership Temporal Characteristics Transfers Route/Network Design Fare Policies and Structure Alternative Modal Options/Technologies/Route Types Disaggregate Stop-Level Analysis
History of Transit Model Development FDOT Public Transit Office very proactive in transit planning tool development TLOS, FTIS, and INTDAS examples of transit planning and information tools Transit ridership modeling tools ITSUP: Integrated Transit Demand & Supply Model RTFAST: Regional Transit Feasibility Analysis & Simulation Tool Powerful stop-level ridership forecasting models
Stop-Level Ridership Forecasting First generation ITSUP sensitive to demographic variables and frequency and fare of service Second generation RTFAST accounted also for network connectivity (destination possibilities) Desire transit ridership forecasting model that accurately accounts for accessibility/connectivity Third generation model called BEST 3.0 Boardings Estimation and Simulation Tool
BEST 3.0 Model estimates number of boardings at stop by: Route Direction Time period Model estimates two types of boardings: Direct Boardings: Walk and Bike Access Transfer Boardings: Transit Access
Separating Direct and Transfer Boardings Consider two types of stops, i.e., stops with no transfer possibility and transfer stops Estimate direct boardings model using data from non-transfer stops Apply direct boardings model to transfer stops to estimate direct boardings at transfer stops Subtract estimated direct boardings from total boardings to estimate transfer boardings Then estimate transfer boardings model
Role of Accessibility and Connectivity Transit ridership strongly affected b y: Destination accessibility Temporal availability Network connectivity Desire to have BEST 3.0 sensitive to all three aspects of transit accessibility Ability to test effects of alternative route and network design configurations on transit boardings Sophisticated methodology incorporated into BEST 3.0
BEST 3.0 Methodology s refers to stop on a route in a given direction and n refers to time period D = direct boardings R = number of bus runs B = vector of buffer characteristics O i = vector of accessibility to characteristics of buffer areas for H i stops, i = 2, 3, 4, 5 X = vector of other route and stop characteristics
BEST 3.0 Methodology T = transfer boardings O 1 = vector of accessibility of boarding at H 1 stops during period n toward stop s Y = vector of other route and stop characteristics Methodology thus includes both direct and transfer boardings equations Accessibility vectors play major role
Definition of Stops Stops are defined with three pieces of information: Physical location Route Direction Example 1: 2 routes intersect Example 2: 4 routes serve one location in the same direction
Neighboring Stops N1 = Neighboring stops along the same route N2 = Stops along the same route but in the opposite direction that lead to different destinations providing the same opportunities. N3 = Neighboring stops along other routes that lead to different destinations providing access to opportunities for the same activities. N4 = Neighboring stops along other routes that lead to the same destinations. These routes may or may not share the same roads with the particular route in question
Neighboring Stops (N1) N1 = Neighboring stops along the same route Stop in Question
Neighboring Stops (N2) N2 = Stops along the same route but in the opposite direction that lead to different destinations providing the same opportunities Stop in Question
Neighboring Stops (N3) N3 = Neighboring stops along other routes that lead to different destinations providing access to opportunities for the same activities Stop in Question 1414
Neighboring Stops (N4) N4 = Neighboring stops along other routes that lead to the same destinations; these routes may or may not share the same roads with the particular route in question Stop in Question
Competing Routes/Stops Notion of neighboring stops effectively captures effects of competing routes/stops Riders may choose alternative stops, routes, destinations for pursuing activities Need to identify and define upstream and downstream stops that can be reached using neighboring stops Define series of stops, H 1 through H 5, identified by network connectivity
Accessible Stops: Illustration Network Route 1 Route 2 Route 3 Route 4 Route 5 Route 6 Route 7 Route
Neighboring Stops: Illustration Network Network 8 routes (each two way) 16 nodes (n=1, …, 16) 64 stops (nX, n=1,…, 16; X=N,S,E,W) Neighboring Stops N1 = {2S} N2 = {6N} N3 = {6W, 6E} N4 = {6W, 6E}
Accessible Stops: Illustration Network H 1 = {1S, 1E, 2E, 2W, 3E, 3W, 3S, 4W, 4S, 5E, 7W, 8W, 9N, 9E, 10W, 10E, 11W, 11E, 12N, 12W, 13N, 13E, 14W, 14E, 15W, 15E, 16W, 16N} H 2 = {1W, 2N, 3E, 4E, 5S, 7S, 8S, 9S, 11S, 12S, 13S, 15S, 16S} H 3 = {1N, 3N, 4N, 5N, 7N, 8N, 9W, 9N, 10S, 11E, 11N, 12E, 12N, 13S, 13W, 14S, 15E, 15S, 16E, 16S} H 4 = {1N, 1W, 2E, 2W, 3N, 3E, 3W, 4E, 4N, 5W, 5N, 7E, 8E, 9S, 10E, 10W, 11E, 11W, 12S, 12E, 13S, 13W, 14E, 14W, 15E, 15S, 15W, 16S, 16E} H 5 = {1N, 1W, 3N, 3E, 3W, 4E, 4N, 5W, 5N, 7E, 8E, 9S, 10E, 10W, 11E, 11W, 12S, 12E, 13S, 13W, 14E, 14W, 15E, 15S, 15W, 16S, 16E}
Defining Accessible Stops H 1 includes stops that can reach the N3 and N4 neighboring stops (Interest: boardings) H 2 includes upstream stops that can be reached from the N2 stops (Interest: buffer area) H 3 includes stops downstream that can be reached from stop in question through route serving the stop in question via the transit network (Interest: buffer area) H 4 includes stops that can be reached from the N3 and N4 neighboring stops (Interest: buffer area) H 5 includes stops in H 4 that overlap with stops in H 3 (Interest: overlapped area)
Computing Transit Accessibility Two components of transit accessibility Access/egress at stop in question Accessibility from stop to all other stops in network Access/egress at stop in question measured through simple air-distance buffer distance Accessibility from one stop to all other stops in network uses gravity-type measure:
Computing Transit Accessibility O i is the measure(s) of accessibility included in the boarding equations Q represents buffer characteristics of stops in H 2 through H 5 and boardings at stops in H 1 G represents impedance from stops in H 1 and impedance to stops in H 2 through H 5 is gravity model parameter Impedance measured by generalized cost of traveling from one stop to another
Computing Impedance, G Components of impedance First wait time First boarding fare In-vehicle time Transfer wait time Number of transfers Transfer walking time Transfer fare Model sensitive to host of service characteristics
ComponentsUnitValue/SourceSymbol Weight SymbolValue First-wait timeMinutes Half of first headway with a cap of 30 FWTW FWT 3.0 First-boarding fare DollarsBase cash fareFBFW FBF 1/v In-vehicle-time MinutesCumulative scheduled travel timeIVLW IVL 1.0 Transfer-wait time Minutes Headway of transfer stop if no coordination and deviation if coordinated for up to two transfers TWTW TWT 3.0 Number of transfers NumberUp to twoNTFW NTF 5.0 Transfer- walking time MinutesTime to transfer stops at 3 mphTWKW TWK 1.5 Transfer- boarding fare DollarsBase cash fare for transfersTBFW TBF 1/v v = half of average hourly wage rate in service area Components of Impedance, G
Model Functionality BEST 3.0 will retain user functionality from first two generations GIS interface for database setup and displays Sets of default equations by time period Automated buffering Automated accessibility and impedance computations Report generation including performance measures
Model Development BEST 3.0 software development underway Model estimation using APC data from Jacksonville, Florida Using Census 2000 data for socio-economic variables Programming accessibility and impedance computation capability at this time Anticipated release of software in late summer or early fall
Conclusions BEST 3.0 will provide a powerful framework for modeling transit ridership at stop level Incorporates effects of accessibility and connectivity on ridership Accessibility and impedance computations very sophisticated and accurate More precisely accommodates effects of service span and frequency (temporal aspects) Focus on ease of use and quick response capability