An Investigation of the Distribution of Driving Speeds Using In-vehicle GPS Data. Jianhe Du Lisa Aultman-Hall University of Connecticut

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An Investigation of the Distribution of Driving Speeds Using In-vehicle GPS Data Jianhe Du Lisa Aultman-Hall University of Connecticut

Problem Statement Traditional speed collection methods can not record driver s s individual information Does speed vary by age or sex? Do certain roads consistently have larger average speed to speed limit ratio?

Our Research Goals Collect GPS data that can be linked to drivers demographic information Compare the speed profile of men versus women and among different age groups Compare the ratio of average speed to speed limits on different road types

Outline In-vehicle GPS data collection Data processing Analysis of speed distributions Conclusions

GPS Device Used in the Study TRIMBLE II GPS

Attributes of the Garmin Instrument GPS receiver performance Tracks up to 12 satellites Update rate: 1 second Position Accuracy - Non-differential GPS: 15 meters RMS Velocity Accuracy - 0.2 m/s RMS steady state Logging options Record position only, position and speed only, or position, speed, and altitude Record at either 1-second or 5-second intervals Download software Windows-based software downloads data to a PC in ASCII format

Lexington Travel Habits Study Select study area A Self-Contained Medium-Sized City: Lexington, Kentucky Recruit volunteers by emails Staff, professors and their families at the University of Kentucky and other residents of the city Procedure 12 vehicles every 2 weeks Date March 2002 July 2003

Number of Households Participated Total number of households surveyed = 276 Total number of valid GPS datasets = 256 total number of one-driver datasets = 124

Lexington, Kentucky Lexington Population = 250,000 Area = 293 Square Miles

Lexington, Kentucky Expressways (90 miles) Arterials (308 miles) Local Streets (1058 miles)

Survey Methodology Step 1: Volunteers are called to collect demographic information such as number of people in the household, sex and age of each family member, etc. Step 2: GPS Data-Logger is installed in the volunteer s s vehicle on Thursday or Friday together with an in-vehicle booklet. Step 3: GPS DataLogger stays in vehicle for approximately 10 days, which includes 5 weekdays and 2 weekends. Step 4: GPS DataLogger is picked up on Monday or Tuesday.

Data Obtained Demographic data for each household 10-day GPS travel data for each household GIS road network database of Lexington, Kentucky

GPS Data Structure The information recorded by the GPS instrument includes date, time, latitude, longitude, speed, altitude, etc Each dataset (household) contains up to 250,000 records Each record represents one GPS point

GIS Road Dataset Structure A well-coded GIS network consisting of about 13,000 separate street segments (or links) Well-coded roads, intersection connections, turns, one-way, speed limit, name, type, and length

GPS Data Sample in ArcView

Data Processing Overlay GPS points with underlying road network Spatially join GPS points and road links to assign GPS points to the road links they traveled on Calculate the time difference t and distance l between the first and the last GPS point assigned to a link Calculate average speed V = l / t

Data Processing (Cont d) Keep links with more than 3 GPS points in sequence assigned to it as valid data a b c Wrongly Assigned Points

Data Processing (Cont d) Product: Average travel speed by link by person Note: If a link is traveled more than once, there is more than 1 observation. Average speed including acceleration and deceleration Link ID Average Speed Speed Limit Sex Age Time

Speed Ratio Speed Ratio = ( V speed limit) speed limit 100% Example to calculate speed ratio: On a road link with 50 mph as the speed limit and length of 1 mile, it took a driver 1.5 minutes to drive through. The average speed is 40 mph and the speed ratio is -20%.

Data Summary Non-Peak Hour Data: 8 AM 4 PM; 6 PM 6 AM Total number of observations = 98,899 Maximum speed ratio= 1.68 Minimum speed ratio= -0.85 Average speed ratio= -0.25 Standard Deviation speed ratio = 0.22 Number of different links = 5421 Average observations per link = 19

Significant Factors Affecting Speed Ratio Speed limit 25, 35, 45 and 65mph Sex of the driver Age of the driver Age group 1: 21-30 Age group 2: 31-50 Age group 3: 51-65 Age group 4: > 65

Number of Observations Age 21-30 31-50 51-65 > 65 Sex F M F M F M F M Number 4 3 15 28 22 27 12 13

Distribution of Speed Ratios ¼ Positive and ¾ Negative

Median of the Speed Ratio of Different Age Groups Medium-ages faster Older females slower

Median of the Speed Ratio on Different Types of Road Links Expressways higher Females slower

Median of the Speed Ratio on Roads with Speed Limit of 25 and 35 MPH Medium-ages faster Older females slower Younger females faster No obvious difference

Median of the Speed Ratio on Roads with Speed Limit of 45 and 65 MPH No obvious difference Younger slower Older women slower

Median of the Speed Ratio of Age Group 21-30 and 31-50 Females faster on local No obvious difference other cases Arterials slower Expressways and locals faster

Median of the Speed Ratio of Age Group 51-65 and > 65 Arterials slower Expressways and locals faster Females slower on expressways Females slower on locals and expressways Expressways higher

Speed Ratio on Local Streets

Speed Ratio on Arterials and Expressways

Spatial Distribution of the Speed Ratios Low speed in downtown area Relatively high speed on circle roads and expressways outside of the town center Low speed on ramps and interchanges

Conclusions GPS is very effective in collecting speed data of individual driver. Women are driving slower than men in most cases. This trend is more obvious in some age groups than others.

Conclusions (Cont d) Young drivers, at least young drivers in Lexington, are not necessarily more aggressive than older people. An alternative reason for this is that young drivers are more cautious about driving with GPS devices on board. The relatively small sample size of young drivers is another explanation.

Next Steps Peak travel Cruise speeds Acceleration/Deceleration pattern for emission study

Thank you!