Research Article

Analysis of the Technical Efficiency of Urban Bus Services in Spain Based on SBM Models

Table 4

Variables: types, definitions, values, and units.

Variable nameTypeDefinitionMinimum valueMaximum valueUnits

Vehicles-km per year (VK)Endogenous.
Output
This figure is calculated taking into account existing vehicles in the fleet and the distance they have traveled in operation throughout the year1.9100.4Million vehicle-km/year
Routes length (RL)Endogenous.
Input
It is calculated by adding the length traveled (in km) between the two extreme stops (head and end) of each line. If several lines share the same stretch of the route, the route is counted as many times as existing lines. The circular lines are counted twice. Only daytime network is accounted1473,870km
Number of vehicles (NV)Endogenous.
Input
Number of buses in the fleet422,092 𝑛 of vehicles
Company costs (CC)Endogenous.
Input
It Includes: personnel costs (including social security and pensions), energy costs, purchase of goods and external services (including outsourcing), maintenance costs (except those included in investment expenses), financial expenses, depreciation costs, taxes, and fees. In all cases, it includes only the actual expenditure incurred, not spending approvals made5.69413.75Million euro/year
Main city population (MCP)Exogenous.
Socio economic
Population of the main city. Calculated at the first of January of the analyzed year131,7313,255,944Inhabitants
Metropolitan area population (MAP)Exogenous.
Socio economic
Population of the metropolitan area. Calculated at the first of January of the analyzed year246,0566,386,932Inhabitants
Main city surface (MCS)Exogenous.
Socio economic
The main city's surface is the municipality surface25974km2
Metropolitan area surface (MAS)Exogenous.
Socio economic
The metropolitan area's surface is the zone where public transport authority offers services3711,313km2
Regional GDP per capita (RGDP)Exogenous.
Socio economic
Gross domestic product in the metropolitan area's region. It is divided by the total number of inhabitants of the region15,02131,496Euro/inhabitant
Labor force rate of the province (LFRP)Exogenous.
Socio economic
The labor force includes people aged 16 and over who supply labor for the production of economic goods and services or are in a position to do4965%
Unemployment rate of the province (URP)Exogenous.
Socio economic
Rate of labor force that is unemployed528%
Car ownership at the province (COP)Exogenous.
Socio economic
Total number of cars and motorbikes at the province. Taxis and vans are not included. It is divided by the total number of inhabitants of the province413709Vehicles/1,000 inhabitants
Main city pop. density (MCPD)Exogenous.
Urban form
Main city's total population divided by main city's total surface4778,091Inhabitant/km2
Metropolitan area pop. density (MAPD)Exogenous.
Urban form
Metropolitan area's total population divided by metropolitan area's total surface656,650Inhabitant/km2
Population ratio (PR)Exogenous.
Urban form
Main city's population divided by metropolitan area's population01Adimensional. Values between 0 and 1
Surface ratio (SR)Exogenous.
Urban form
Main city's surface divided by metropolitan area's surface01Adimensional. Values between 0 and 1
Management (PRIV)Exogenous.
Management and alternative modes
Dummy variable. It takes value 0 if public management, value 1 if private management.01Adimensional. Values between 0 and 1
Main city alternative rail modes (MCARMs)Exogenous.
Management and alternative modes
It takes value 0 if there are no alternative rail modes at the main city, value 1 if there are01Adimensional. Values between 0 and 1
Metropolitan area alternative rail modes (MAARMs)Exogenous.
Management and alternative modes
It takes value 0 if there are no alternative rail modes at the metropolitan area, value 1 if there are01Adimensional. Values between 0 and 1

Data refers to period 2004–2009.