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Alternative Design: Weighted Adjustment Factors

The following adjustment factors for the specified roadway or intersection type will have the weighted Adjustment Factor displayed in-app.

Written by Lauren Miller
Updated over 2 weeks ago

In Alternative Design, the Adjustment Factor may be presented as a weighted value for site characteristics listed below. This approach allows users to understand the overall impact of a proposed change on the facility, rather than viewing separate Adjustment Factors for each crash type and severity.

When multiple crash predictions are present and vary by crash type and severity, Alternative Design calculates a weighted average Adjustment Factor. Although the Adjustment Factor for individual crash types and severities may be higher, the weighted value accounts for all crash types/severities and displays a single representative value.

Weighted adjustment factor equation used in the Alternative Design application:

The following adjustment factors for the specified roadway or intersection type will have the weighted Adjustment Factor (using the equation above) displayed in-app:

Segments

Freeway Segment (ISAT-e)

Adjustment Factor

Crash Type

Severity

Inside Shoulder

All

FI, PDO

Median Width

MV, SV

FI, PDO

Lane Width

MV, SV

FI

Horizontal Curve

MV, SV

FI, PDO

Outside Shoulder Width

SV

FI, PDO

Shoulder Rumblestrips

SV

FI

Outside Barrier

SV

FI, PDO

Outside Clearance

SV

FI

High Volume

MV, SV

FI, PDO

Median Barrier

All

FI, PDO

Lane Change

MV

FI, PDO

Speed Change Lanes

(Note: users must add a speed change lane as a related segment in the project selection page)

Adjustment Factor

Crash Type

Severity

Horizontal Curves

All

FI, PDO

Lane Width

All

FI

Inside Shoulder Width

All

FI, PDO

Median Width

All

FI, PDO

Median Barrier

All

FI, PDO

High Volume

All

FI, PDO

Ramp Entrance/Exit

All

FI, PDO

Ramp Segments and Collector/Distributor (CD) Segment

Adjustment Factor

Crash Type

Severity

Lane Width

MV, SV

FI

Right Shoulder Width

All

FI, PDO

Left Shoulder Width

All

FI, PDO

Right Side Barrier

All

FI, PDO

Left Side Barrier

All

FI, PDO

Weaving (CD-Segment Only)

All

FI, PDO

Lane Add / Drop

MV, SV

FI

Ramp Speed Change Lane

MV

FI

Horizontal Curves

MV, SV

FI, PDO

Intersections

Ramp Terminal (ISAT-e)

Adjustment Factor

Traffic Control

Crash Type

Severity

Exit Ramp Capacity

Ramp Stop Controlled

All

FI

Exit Ramp Capacity

Signalized

All

FI

Channelized Right-Turn Lane on Crossroad

Signalized

All

FI, PDO

Crossroad Left Turn Lane

All

All

FI, PDO

Crossroad Right Turn Lane

All

All

FI, PDO

Access Point Frequency

Ramp Stop Controlled

All

FI

Access Point Frequency

Signalized

All

FI, PDO

Segment Length to Adjacent Intersection

Ramp Stop Controlled

All

FI

Segment Length to Adjacent Intersection

Signalized

All

FI, PDO

Protected Left-Turn Lane Operation

Signalized

All

FI, PDO

Channelized Right-Turn Lane on Exit Ramp

Signalized

All

FI, PDO

Non-Public Street Leg

Signalized

All

FI, PDO

Skew Angle

Ramp Stop Controlled

All

FI

Median Width

Ramp Stop Controlled

All

FI

Median Width

Signalized

All

FI, PDO

Example Problem

How to calculate a weighted average Adjustment Factor for a 6-Lane Urban Freeway with the following site characteristics:

  • AADT = 110,000 vehicles per day

  • Segment Length = 1.0 miles

  • Lane width of 11 feet

MV = Multi-vehicle

SV = Single-vehicle

PDO = Property damage only

FI = Fatal injury

AADT = Annual Average Daily Traffic

L = Segment length

Exp = Euler's number

Safety Performance Function formula:

Where,

SPF Coefficients for Urban 6-Lane Freeways

Crash Type and Severity

a

b

c

MV FI

-5.587

1.492

0.001

SV FI

-2.055

0.646

0.001

MV PDO

-6.809

1.936

0.001

SV PDO

-2.274

0.876

0.001

Utilizing the AADT, Segment Length, and SPF Coefficients, the Predicted Crash Frequency by crash type (MV, SV) and Severity (FI, PDO) are as follows:

To calculate the Adjustment factor for Lane Width, use the following equations and table of coefficients:

Where:

W is the lane width

Coefficients for Lane Width Adjustment Factor

Crash Type and Severity

a

b

MV FI

-0.0376

0.963

SV FI

-0.0376

0.963

*Note: MV PDO and SV PDO crashes are not impacted by lane width. Therefore, the adjustment factor is assumed to be 1.0.

To calculate the weighted average Adjustment Factors, use the following formula (same as above):

The weighted average Adjustment factor can then be calculated based on the adjusted and the unadjusted predicted crash frequency values using the following equation.

The result of 1.01 will be displayed in the application to better understand the holistic impact of an 11-foot lane on total predicted crash frequency.

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