Auto Ownership

Introduction

Auto ownership is a long-term decision that directly impacts daily mode choice. The choice is influenced by household factors like income and number of workers, but also by where people choose to live. The auto ownership model allows TRMG2 to be sensitive to these factors and respond to changes in the future.

Auto ownership is predicted using a discrete choice model. For more details on general model form, click here.

Model Structure

The auto ownership model in TRMG2 makes use of variables from the synthetic population and zonal accessibility to make predictions. The model structure is a simple multinomial logistic (MNL) regression model with five alternatives:

  • 0 Vehicles
  • 1 Vehicle
  • 2 Vehicles
  • 3 Vehicles
  • 4+ Vehicles

Coefficients

Model estimation was performed using TransCADs built-in logit model engine, and the table below shows the utility terms, coefficients, and goodness of fit.

Term v0 v1 v2 v3 v4
Constant 0 4.9 2.4 1.7 0.7
Workers 0.7 3.3 4.3 5.3
Non-working adults 0.0 2.1 2.8 3.6
Seniors 0.1 0.1
Walk access -0.4 -0.6 -0.6 -0.7
Transit access -0.1 -0.1 -0.2 -0.2
Nearby access -0.4 -0.5 -0.8 -1.1
Walkability (intrazonal) -0.5 -0.5 -0.5 -0.5
Income Category 1 HHs -0.6 -1.8 -1.8 -3.2
Income Category 2 HHs 1.6 1.6 1.6 1.6
Income Category 3 HHs 1.8 2.6 2.7 2.7
Income Category 4 HHs 2.2 3.7 4.1 4.5
Calibration constant -0.1 0.0 0.1 0

Household income categories are defined here. Accessibility terms are discussed in detail here.

As an example, the 1-vehicle coefficients in the table above translate into a utility formula that starts like this:

\(U = 4.88 + 0.7 * Workers + 0.1 * Seniors - 0.4 * WalkAccess + ...\)

The coefficients all have the right sign and the relative sizes are intuitive. For example, higher-income households are more likely to own more cars. One particularly encouraging result of this model is that households with strong walk and transit accessibility are less likely to own a vehicle and even less likely to own multiple vehicles. This adds another dimension of model sensitivity to transit investments. New transit routes will affect long-term household decisions about auto ownership, which further influence their daily transportation decisions.

Looking in more detail, the trend for coefficients across alternatives is also intuitive. Large numbers of workers in a household have a small positive impact on the utility of owning 1 auto, but a large impact on owning 2 or more. High income households are more likely to own more vehicles. Finally, the model’s Rho^2 of 0.42 shows strong predictive power.

Calibration

The estimated coefficients produce results that closely matched the survey as shown in the table below.

Autos Survey % Model %
0 5.1 5.3
1 31.5 33.5
2 41.7 37.9
3 15.3 13.4
4 6.5 9.9

Caliper created an auto-calibration tool for the auto ownership model and used it to ensure the model matched the observed shares more closely. Importantly, the calibration constants required to do this were small as shown below.

Alternative Calibration Constant
v1 -0.0852
v2 0.0483
v3 0.1047
v4 0.0197




TransCAD GIS Software, 2022