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Bicyclist Safety Performance Functions for a U.S. City
Krista Nordback, Ph.D., P.E. Wesley Marshall, Ph.D., P.E.
Bruce Janson, Ph.D.
Civil Engineering University of Colorado Denver
Active Communities Transportation (ACT) Research Group
Overview
• Safety performance functions (SPFs)
• Data
• Bicyclist SPF
• Prioritizing intersections
• Examples
• Conclusions
Safety Performance FunctionsSafety Performance Functions
The relationship of traffic volume to collisions.
AADT
Co
llisi
on
s
HSM SPF for 4HSM SPF for 4--leg signalized intersectionsleg signalized intersections
5,000
AADTmajor
Pre
dic
ted
Cra
sh F
req
uen
cy
20,000
AADTmin = 1,000 10
2
Roads in New Zealand and Australia
Turner et al. TRR 2011
Collisions = 0.0086 × Vehicle Volume0.25 × Cyclist Volume0.17 × Length of Segment0.37
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0 500 1000 1500 2000 2500
Cra
she
s p
er
year
Bicyclists per day
HSM SPF for 4HSM SPF for 4--leg signalized intersectionsleg signalized intersections
5,000
AADTmajor
Pre
dic
ted
Cra
sh F
req
uen
cy
20,000
AADTmin = 1,000 10
2
Risk Performance FunctionRisk Performance Function
0.0000
0.0001
0.0002
0.0003
0.0004
0 5,000 10,000 15,000 20,000 25,000
Co
llis
ion
s/A
AD
T
Annual Average Daily Traffic (AADT)
Highway Safety ManualHighway Safety Manual
• No bicycle Safety Performance Function
(SPF)
Bicycle Collisions at intersections =
MV Crashes X f(intersection type)
• Bicyclist traffic
not included
Constant RiskConstant Risk C
ollis
ion
s
AADB
SPF
Co
llis
ion
s/A
AD
B
AADB
RPF
Safety Performance
Function
Risk Performance
Function
Random EventsRandom Events C
ollis
ion
s
AADB
SPF
Co
llis
ion
s/A
AD
B
AADB
RPF
Collisions/AADB ~ (AADB)-1
AADB at AADB at 106 106
Signalized Signalized Intersections Intersections
in in Boulder, COBoulder, CO
Annual Average Daily Bicyclists (AADB)
• 3 hour manual counts adjusted by – Time of year
– Day of week
– Year
– University schedule
– Temperature
– Solar radiation
• Adjustment based on continuous bicycle count data at 25 stations from 2001 to 2011
AADB vs ADB
0
500
1000
1500
2000
2500
3000
3500
4000 A
vera
ge D
aily
Bic
yclis
ts
The 25 Intersections with Highest AADB
ADB 2003 AADB Upper Limit Lower Limit
Pyramid of InteractionsPyramid of Interactions
Safe Interactions
Potential for Collisions
Avoided Collisions
Collisions Occur Minor Injury Collisions
Fatal and Severe Injury
Collisions
Bicycle Collisions at Intersections in Boulder, COBicycle Collisions at Intersections in Boulder, CO
20082008--20112011 20012001--20052005
Moving AverageMoving Average
0
2
4
6
8
10
12
0 500 1000 1500
Bic
yclis
t-M
oto
rist
Inte
rse
ctio
n
Co
llisi
on
s in
5 Y
ears
Intersection AADB estimated for 2003
20 pt moving average
2001 to 2005 SPF2001 to 2005 SPF
Collisions = eε (AADT) β1 (AADB) β2
Parameter Estimate Standard Error
One Tailed P-Value
Wald 95% Confidence
Limits
Intercept Exponent
ε -9.07 1.85 <0.0001 -12.7 -5.4
AADT Exponent
β1 0.64 0.17 <0.0001 0.31 0.97
AADB Exponent
β2 0.53 0.14 0.0001 0.26 0.79
Dispersion 1/ν 0.54 0.17 0.28 1.01
Pseudo R2 = 0.26
Safety Performance FunctionSafety Performance Function
0
30,000
60,000 0
2
4
6
8
10
0 400 800 1200 1600 2000
AADT
Co
llis
ion
s
AADB
8-10
6-8
4-6
2-4
0-2
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rse
ctio
n
Co
llisi
on
s in
5 Y
ears
Intersection AADB estimated for 2003
70,000 AADT
40,000 AADT
10,000 AADT
Safety Performance FunctionSafety Performance Function
Risk Performance FunctionRisk Performance Function
0.00
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0 500 1,000 1,500 2,000
Colli
sion p
er
Bic
yclis
t
Intersection AADB estimated for 2003
100,000
AADT
50,000
AADT
10,000
AADT
Intersection with 50,000 AADT Intersection with 50,000 AADT and 1000 AADBand 1000 AADB
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
Intersection with 50,000 AADT Intersection with 50,000 AADT and 1000 AADBand 1000 AADB
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
3
Policy ScenarioPolicy Scenario
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
3/1000 =
0.003 Collisions/cyclist
Policy ScenarioPolicy Scenario
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
3/1000 =
0.003 Collisions/cyclist
1/140 =
0.007 collisions/cyclist
Policy ScenarioPolicy Scenario
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
3/1000 =
0.003 Collisions/cyclist
Policy ScenarioPolicy Scenario
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
50,000
AADT
3/1000 =
0.003 Collisions/cyclist
4/1700 =
0.002 Collisions/cyclist
Lower Motorist VolumesLower Motorist Volumes
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsect
ion
Colli
sions
in 5
Year
s
Intersection AADB estimated for 2003
100,000
AADT
50,000
AADT
10,000
AADT
3/1000 =
0.003 Collisions/cyclist
1/1000 =
0.001 Collisions/cyclist
ConclusionsConclusions Bicycle volumes are needed to predict crashes.
• AADB & AADT significantly predict collisions. • Cyclists are safer in numbers. • Method for prioritizing intersections • Policy implications
Future Work
• Improve AADB estimates. • Method to measure infrastructure safety.
Questions?Questions?
Krista Nordback [email protected] 303-556-5247 Wesley Marshall [email protected]
Committee Chair:
Bruce Janson, Transportation Engineering
Committee Members:
Jake Kononov, Transportation Engineering
Kevin Krizek, Planning
Wes Marshall, Transportation Engineering
Debbi Main, Health and Behavioral Science
Keith Molenaar, Civil Engineering
Funding Provided by:
National Science Foundation (IGERT)
American Association of University Women
Centers for Disease Control and Prevention
Association of Schools of Public Health
Federal Highway Administration
Colorado Department of Transportation
Women’s Transportation Seminar
Intersection PrioritizationIntersection Prioritization
0 2 4 6 8 10 12
Arapahoe AV. & 30th
Walnut Ave & 30th Street
Arapahoe Ave & 33rd street
Foothills Pkwy. & Arapahoe
Baseline Road & 30th St
Folsom St & Colorado
University & Broadway
Valmont St. & Airport
Arapahoe & 55th St
1719 Canyon Blvd
28th Street & Arapahoe Avenue
Arapahoe & 9th St.
Marine & Arapahoe
Bicycle-Related Collisions 2001-2005
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
yclis
t-M
oto
rist
Inte
rsec
tio
n C
olli
sio
ns
in 5
Yea
rs
Intersection AADB estimated for 2003
Intersections with 55,000-80,000 AADT
70,000 AADT
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
ycl
ist-
Moto
rist
Inte
rsec
tion
Coll
isio
ns
in
5 Y
ears
Intersection AADB estimated for 2003
Intersections with
55,000-80,000 AADT
70,000 AADT
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
ycl
ist-
Moto
rist
Inte
rsec
tion
Coll
isio
ns
in 5
Yea
rs
Intersection AADB estimated for 2003
Intersections with
25,000-55,000 AADT
40,000 AADT
0
2
4
6
8
10
12
0 500 1,000 1,500 2,000
Bic
ycl
ist-
Moto
rist
Inte
rsec
tion
Coll
isio
ns
in 5
Yea
rs
Intersection AADB estimated for 2003
Intersections with 0-
25,000 AADT
10,000 AADT