HomeMy WebLinkAboutMemo - Mail Packet - 3/24/2015 - Memorandum From Dan Weinheimer Re: Fort Collins Train Horn Noise WaiverWaiver Request
For One Element of Quiet Zone Requirements
Mason Street Corridor – Downtown Fort Collins, Colorado
March 1, 2015
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Table of Contents
Executive Summary ................................................................................................................................. EX
1. Background and Area Description ................................................................................................ 1
2. The Evolution of Track Safety Features Along Mason Street ....................................................... 3
3. What About Gates Along Mason? ............................................................................................... 5
4. Pursuing a Quiet Zone - Minimum Requirements ........................................................................ 6
5. Risk Indices .................................................................................................................................... 8
6. Train Speeds and Their Impact on Cost of Crashes ...................................................................... 8
7. Safety Analysis Along Mason Street ............................................................................................. 9
8. Waiver Request ............................................................................................................................ 10
9. Safety Impact of Waiver Request ................................................................................................. 11
10. Waiver Process – One Party Application ...................................................................................... 12
11. Overall Process – Next Steps ....................................................................................................... 12
12. Conclusions .................................................................................................................................. 13
List of Figures
Figure 1 – Map of BNSF Rail Line, Old Town Fort Collins .................................................................... 2
List of Tables
Table EX-1 – Waiver Request Summary .............................................................................................. EX
Table 1 – Existing Mason Street Grade Crossings ............................................................................... 3
Table 2 – Mason Corridor Risk Indices ............................................................................................... 10
Table 3 – Waiver Request Summary .................................................................................................. 11
Table 4 – Quiet Zone Risk Index and Equivalent Crash Risk ................................................................ 11
Appendix Material
Train Speed Information ..................................................................................................................... A
Risk Indices Calculation ....................................................................................................................... B
Railroad Compliance Study ................................................................................................................. C
Applicable Resolutions ....................................................................................................................... D
Letters of Support ............................................................................................................................... E
Executive Summary
The City of Fort Collins, Colorado is a city of approximately 150,000 residents with a distinctive and
active downtown area. Through the heart of this downtown area runs the BNSF railroad track.
Residents and visitors express recurring frustration about train horn noise that negatively impacts
economic vitality and quality of life.
The BNSF train tracks in downtown Fort Collins have
a unique configuration whereby the tracks run down
the middle of Mason Street with traffic on both sides.
Until 2012, the tracks and road co-mingled with no
separation between track and travel lanes, and
vehicular traffic was allowed to change lanes across
the tracks anywhere along the corridor.
In 2012, the City spent $4 million to significantly
upgrade railroad safety as a part of the federally-
funded MAX Bus Rapid Transit project. Center
roadway pavement was removed, and curbing with
open ballast installed to restrict vehicular crossings to intersections. Redundant flashing lights, left turn
prohibitions, and constant warning time track circuitry were also added. The potential for gates was
investigated but they appear to be infeasible due to a lack of space and because they would create a
safety problem by trapping vehicles. In lieu of gates, traffic signals at the crossings were upgraded and
tied into the railroad circuitry to provide a redundant form of control.
The City is now pursuing a quiet zone for a 1.16 mile section of downtown Fort Collins. According to the
Federal Railroad Administration Train Horn Rule, in order to qualify for a quiet zone, it must be shown:
“..that the lack of the train horn does not present a significant risk with respect to loss of
life or serious personal injury, or that the significant risk has been compensated for by
other means.” Appendix C to Part 222, Section I - Overview
Risk is measured by the likelihood of train-related collisions at grade crossings through the use of risk
indices. A corridor qualifies for a quiet zone if the Quiet Zone Risk Index is less than the Nationwide
Significant Risk Threshold (NSRT) of 14,347. The Mason Street corridor has an existing risk index (with
horns) of 5,695, and an anticipated Quiet Zone Risk Index (if no horns are used) of 6,799. Both
scenarios are well below the NSRT. Part of the reason for the very low risk (and excellent safety record
with no incidents in the last 15 years) is because of the very low train speeds. The average train speed
through the corridor is 18 mph and the 95th percentile speed is 22 mph
Once a corridor is qualified based on the risk index, there are two additional requirements before a
quiet zone can be implemented. The corridor must be at least ½ mile long, and ALL crossings must have
flashing lights and gates equipped with constant warning time track circuitry and power out indicators.
The corridor is 1.16 miles long and meets the minimum length requirement. Two of the crossings meet
all of the requirements of a quiet zone. Three crossings have limited devices and are proposed for
closure to east-west vehicular traffic as a part of the quiet zone implementation. The remaining seven
crossings have lights and constant warning time circuitry. Gates are not feasible, but instead all will
have full traffic signal control tied into the railroad circuitry.
EX
Therefore, the City is requesting a waiver of the gate requirement at seven of the 12 crossings in the
corridor. See summary information in Table EX-1.
Table EX-1 – Waiver Request Summary
STREET DOT # RR
CIRCUITRY
GATES/
LIGHTS
INTERSECTION
CONTROL
WAIVER
REQUEST
College 244643V Constant Warning Gates & Lights n/a
Cherry 244642N Constant Warning Gates & Lights n/a
Maple 244641G Constant Warning Flashing Lights 2-way STOP –
Signal Proposed Gates
LaPorte 244640A Constant Warning Flashing Lights Traffic Signal Gates
Mountain 244639F Constant Warning Flashing Lights Traffic Signal Gates
Oak 244638Y Constant Warning Flashing Lights Traffic Signal Gates
Olive 244637S Constant Warning Flashing Lights Traffic Signal Gates
Magnolia 244636K None None 2-way STOP –
Closure Proposed
Mulberry 244635D Constant Warning Flashing Lights Traffic Signal Gates
Myrtle 244634W None None 2-way STOP -
Closure Proposed
Laurel 244633P Constant Warning Flashing Lights Traffic Signal Gates
Old Main 244632H None None All-way STOP –
Closure Proposed
This waiver request is reasonable and appropriate due to the following:
Based on analysis of crash risk using the methodology described in the Train Horn Rule, the risk
index is well below the threshold and the absence of gates has minimal impact on crash risk;
The traffic signals at all locations requesting waivers provide a redundant form of control; and
The proposal to close three crossings to vehicular traffic further enhances safety.
The City believes that this request clearly shows that ‘the lack of the train horn will not present a
significant risk with respect to loss of life or serious personal injury’.
Therefore, in accordance with 49 CFR part 211, The City of Fort Collins thereby requests a waiver to
section 222.35(b) of the Train Horn Rule at seven crossing in the Mason Street corridor be granted so
that a quiet zone can be implemented through the City’s historic downtown.
EX
1 - Background and Area Description
The City of Fort Collins is a vibrant city of 150,000
people nestled against the foothills of the Rocky
Mountains about an hour’s drive north of Denver. The
Old Town area in the city is a unique, lively downtown
with 23 historic buildings; streets are lined with retail
shops and over 84 restaurants provide extensive
options for dining outdoors. There are museums and
theaters and a variety of older single family and newer
mixed-use residential areas. Each year numerous
outdoor events and festivals attract thousands of
people to the Old Town area.
Through the heart of this area runs the Burlington
Northern Santa Fe (BNSF) railroad line, one of two
railroads operating in Fort Collins (the other is the Union
Pacific Railroad which operates further east). The BNSF
line runs generally north-south through the core of
historic Old Town along Mason Street across 12
intersections. As popular as Old Town is, train horn
noise (especially since the 2005 change in the federal
train horn rule) is a recurring frustration noted by
merchants, customers, residents and visitors to Old
Town. Public comments cite a perception that train
horn noise negatively impacts economic vitality and
quality of life1. Colorado’s U.S. Congressmen and
Senators have acknowledged the negative impacts from
train horn noise in communities like Fort Collins2 3.
Figure 1 shows the location of
the BNSF rail line through Old
Town Fort Collins and the 12
grade crossings. On the north
end the line crosses College
Avenue (U.S. 287) then turns to
the south crossing Cherry
Street and then onto Mason
Street. The track configuration
on Mason Street is unusual in
that the tracks run down the
center of the street with multi-
use travel lanes parallel to the
tracks (see photo at right).
BNSF Rail Line on Mason Street
BNSF Rail Line on Mason Street, Fort Collins, CO
Mixed Use Residential Development on
Mason Street (note RR track in foreground)
Page 1 of 14
US 287 (College Avenue)
Mason St
Cherry St
Maple St.
LaPorte Ave
Mountain Ave
Oak St.
Olive St.
Magnolia St.
Mulberry St.
Myrtle St.
Laurel St.
Old Main
BNSF Railroad Line
At Grade BNSF Crossing
Figure 1 – Map of BNSF Rail Line,
Old Town, Fort Collins, CO
Page 2 of 14
Details on the 12 grade crossings on the Mason corridor are listed in Table 1. The crossings at College
and at Cherry are typical grade crossings controlled with standard gates and flashing lights. The other
crossings occur at intersections along Mason Street (see photo on page 1). As shown in the table these
intersections/crossings are controlled by some sort of intersection control (STOP signs or traffic signals)
in addition to standard grade crossing controls (cross bucks, flashing signals, etc.).
Table 1 – Existing Mason Street Grade Crossings
STREET DOT # DAILY TRAFFIC
VOLUME
RR
CIRCUITRY
GATES/
LIGHTS
INTERSECTION
CONTROL
College 244643V 22,800 Constant Warning Gates & Lights n/a
Cherry 244642N 8.900 Constant Warning Gates & Lights n/a
Maple 244641G 3,100 Constant Warning Flashing Lights 2-way STOP
LaPorte 244640A 7,500 Constant Warning Flashing Lights Traffic Signal
Mountain 244639F 7,000 Constant Warning Flashing Lights Traffic Signal
Oak 244638Y 1,600 Constant Warning Flashing Lights Traffic Signal
Olive 244637S 3,400 Constant Warning Flashing Lights Traffic Signal
Magnolia 244636K 3,300 None None 2-way STOP
Mulberry 244635D 22,000 Constant Warning Flashing Lights Traffic Signal
Myrtle 244634W 1,000 None None 2-way STOP
Laurel 244633P 14,600 Constant Warning Flashing Lights Traffic Signal
Old Main 244632H 890 None None All-way STOP
2 - The Evolution of Track Safety Features Along Mason Street
Prior to 2012, Mason Street was a one-way
street northbound with the railroad tracks
at-grade. That allowed motorists to change
lanes across the tracks anywhere along the
corridor. Trains and cars co-mingled
throughout the corridor.
In 2012 as part of the $87 million Federal
Transit Administration (FTA) funded MAX
Bus Rapid Transit project, Mason Street was
converted from a one-way street
northbound to a two-way street with one
lane on either side of the tracks. The City
worked closely with the BNSF as well as the
Colorado Public Utilities Commission (PUC)
to modify the design of Mason Street to
improve railroad safety (even though there
had been no incidents since 1999). The railroad safety improvements cost approximately $4 million and
were entirely paid for by the City. The planning for this project included a field diagnostic with BNSF, City
staff and other parties; though the topic was not specifically about quiet zones, gates were deemed
infeasible because of the street width and the intersection configurations (see Section 3).
Pre-2012 Track along Mason Street –
No Separation between Train and Vehicles
Credit: Jason Lee Davis
Page 3 of 14
The following improvements were made to the railroad / roadway interface in the core area:
Center roadway pavement was removed and curbing and open ballast installed between each
intersection to restrict vehicular crossings at mid-block locations.
Redundant flashing lights, i.e. lights on all four corners facing all approaching traffic at the seven
crossings equipped with flashing lights.
Left turn prohibitions at four intersections (Myrtle, Magnolia, Oak, and Maple) to reduce track
crossings.
Constant warning time track circuitry at the seven crossings equipped with flashing lights.
Traffic signal upgrades including blank out turn restriction signs at the seven intersections with
flashing lights.
Blank out restrictions
Before 2012
With curbing and open ballast, there is now
separation of vehicles and trains and crossings are
restricted to intersections
Redundant
flashing lights
and left turn
prohibition
Credit: Jason Lee Davis
Page 4 of 14
Traffic signal upgrades including new cabinets, controllers, wiring, and uninterrupted power
supplies. The signalized intersections are tied into the railroad circuitry and provide a redundant
form of control to go along with the flashing railroad lights.
Note that while no credit is given for traffic signals when calculating risk indices in accordance with the
Train Horn Rule, The City believes the traffic signals enhance safety along the corridor. A study
completed by the City shows that compliance at crossings without gates but with traffic signals is 94%
compared to compliance of only 74% at crossings without signals (see Appendix C). This is reflected in
the excellent crash record. According to FRA records there have not been any rail-grade crossing
crashes on this section of the Mason Crossing Corridor since 1999 (15 years).
3 - What About Gates Along Mason?
Prior to the safety improvement project in 2012, evaluation and diagnostic efforts were undertaken
working with the BNSF and the Colorado Public Utilities Commission to determine appropriate
improvements as part of the two-way conversion process. This included an assessment of the potential
for gates at the intersection crossings.
The result of the initial review determined that because of the unique nature of Mason Street with the
tracks running parallel in the middle of the road, the installation of gates is problematic from both a
practical and safety perspective.
The practical challenge is that the overall roadway width doesn’t allow for the necessary railroad width,
gates (with adequate separation) and two lanes of traffic (Option A below). There simply isn’t room to
have gates stopping east/west traffic without impacting north/south traffic. An alternative design
would consist of gates on all four approaches to each intersection (Option B below). But this presents a
safety concern because the gates stopping northbound and southbound traffic would effectively trap
motorists adjacent to trains without any way for the motorists to move in case of an incident.
Signal upgrades were completed at all signalized crossings
Page 5 of 14
Therefore, the decision at the time was to not consider gates at any of the ten crossings where they are
not presently installed. In lieu of gates, the improvements listed above as well as the existing signal
control provided a significant safety benefit for the corridor.
4 - Pursuing a Quiet Zone – Minimum Requirements
The City of Fort Collins has been seeking to evaluate corridor safety and understand steps necessary to
achieve noise reduction for a number of years. The City’s interest in a Quiet Zone for the corridor
increased especially following the FRA horn rule change in 2005. Because of the significant negative
impact of train noise on economic vitality and quality of life, a study was completed in 20114. This
evaluation included coordination among the City, BNSF and the Colorado Public Utilities Commission
(PUC).
Despite an excellent safety record, it was not possible at the time to pursue a quiet zone because of the
track configuration in the middle of the road without separation between trains and vehicles. Now that
the safety project has been completed, trains and cars are separated and other additional and
redundant measures implemented, a Quiet Zone is an appropriate determination for the corridor.
According to the Federal Railroad Administration Train Horn Rule, in order for a quiet zone to be
qualified, it must be shown:
“that the lack of the train horn does not present a significant risk with respect to loss of
life or serious personal injury, or that the significant risk has been compensated for by
other means.” Appendix C to Part 222, Section I - Overview
Part 222 Section I lists several scenarios under which a corridor can qualify for a quiet zone – any of
which can be utilized to meet the requirement. They are:
12 ft min
separation
Required
Challenge is that gates
conflict with travel lanes
Challenge is that gates
trap cars next to tracks
Option A : Standard Parallel Gates Option B – Gates on All Approaches
Page 6 of 14
Option 1 – One or more of approved supplemental safety measures (SSM’s) must be installed at
each crossing. Approved SSMs include closing a crossing, 4-quadrant gate systems or raised
medians combined with gates on the crossing approaches; or,
Option 2 - The Quiet Zone Risk Index must be equal to or less than the Nationwide Significant
Risk Threshold (NSRT) without implementation of additional safety measures at any crossings;
or,
Option 3 – Additional safety measures are implemented at selected crossings resulting in the
Quiet Zone Risk Index being reduced to a level equal to, or less than, the Nationwide Significant
Risk Threshold or the Risk Index with Horns whichever is higher.
The Safety Analysis presented in Section 5 will detail how the City of Fort Collins meets Option 2 as the
Mason Street corridor’s risk index is well below the Nationwide Significant Risk Threshold. It will clearly
show that the lack of a train horn does not present a significant risk.
Once it is established that the corridor meets one of the qualifying conditions above, there are two
more items listed as requirements:
1) A quiet zone must be at least ½ mile long, and
2) At a minimum, there must be flashing lights and gates in place at each public crossing. These
must be equipped with constant warning time track circuitry and power out indicators.
The proposed quiet zone in Fort Collins is 1.16 miles long and meets the first criteria.
For requirement #2, of the 12 affected grade crossings on the Mason corridor,
Two (College and Cherry) are equipped with flashing lights, gates and constant warning time
track circuitry that meet the additional requirements for a quiet zone.
Six (LaPorte, Mountain, Oak, Olive, Mulberry and Laurel) are equipped with flashing lights, and
constant warning time track circuitry. Gates are not feasible from a practical and safety
perspective, but existing traffic signals connected to railroad circuitry provide redundant
control. A waiver of the gate requirement is needed for these six crossings.
One crossing (Maple) is equipped with flashing lights and constant warning time track circuitry,
and the current two-way stop control is proposed to be upgraded to a full signal control to
provide a redundant measure. Gates
are not feasible therefore a waiver of
the gate requirement is needed for
this crossing.
Three crossings (Magnolia, Myrtle and
Old Main) are not equipped with any
measures other than signage. These
three crossings are proposed to be
closed to vehicular traffic as a part of
the quiet zone.
BNSF crossing at Magnolia Street with limited safety
features is proposed for closure to vehicular traffic.
Page 7 of 14
5 - Risk Indices
All of the various risk indices referenced in the Train Horn rule are measures of the likelihood of train-
related collisions at grade crossings. The indices are calculated using a crash prediction model
developed by the U.S. Department of Transportation5. The model output is combined with the actual
crash history over the past five years at each location to determine an overall estimate of the number of
expected crashes. The model is based on crash experience at crossings all over the country. It takes into
account number of trains, number of motor vehicles, type of crossing protection, number of tracks, train
speeds and number of lanes on the street. Once the number of expected crashes has been estimated,
costs are assigned to the crashes based on predicted severity level. The actual indices are the expected
annual cost of crashes at a given location or corridor. A discussion of each index follows.
Nationwide Significant Risk Threshold (NSRT) – The NSRT is an average of the risk indexes for gated
public crossings nationwide where train horns are routinely sounded. If a proposed Quiet Zone’s risk
index is below the NSRT, then the corridor is qualified for a Quiet Zone. The FRA calculates this index
and updates it regularly. The latest update occurred on November 26, 20136. The current NSRT is
14,347. It was calculated using crash data from 2008 – 2012 at 42,544 crossings in the United States.
Risk Index With Horns (RIWH)- The RIWH is the risk index calculated for a crossing corridor (group of
crossings) based on conditions along that corridor assuming that train horns are routinely sounded. If a
proposed Quiet Zone’s risk index is below the RIWH then the corridor is qualified for a Quiet Zone.
Quiet Zone Risk Index (QZRI) – The QZRI is the risk index calculated for a crossing corridor assuming train
horns are not routinely sounded. A study completed for the FRA in 2003 demonstrated increased crash
risk on crossing corridors where the train horns were not used7. The study showed that crash risk
increased when train horns were not sounded by 66.8% at gated crossings, 30.9% at flashing light
crossings and 74.9% at crossings with passive control devices. Note that for the Quiet Zone calculations
in Section 7, the 66.8% number was used which reflects a more conservative analysis than the 30.9%.
6 - Train Speeds and Their Impact on Crash Severity
The official FRA crossing inventory reports for the crossings along Mason Street in Fort Collins list the
maximum timetable speed as 49 mph. Train speed is a critical factor in the calculation of the various risk
indices as the severity of crashes is expected to increase as train speed increases.
Because all of the traffic signals along Mason are tied into the railroad track circuitry, the City has logs
showing train activity. By looking at the time between preemptions at different signals it is possible to
calculate the speed of trains on Mason. The accuracy of this method was verified manually using radar
to check train speeds and then comparing the measured speeds to the calculated speeds from the log
records.
Page 8 of 14
Staff examined logs from September 1, 2013 through
November 26, 2013 at the intersections of Mason/Mulberry
and Mason/LaPorte which are about a half mile apart.
Preemption records at each location were noted and then
compared to identify where a ‘paired’ preemption occurred.
In this almost three month period there were a total of 299
preemption events (i.e. trains). The average speed of trains
was 18 mph. The 95th percentile speed of trains was 22
mph. As noted above, the data was verified with spot
checks using radar. Details are included in Appendix A.
From this data it is clear that the 49 mph speed shown in the inventory is not indicative of actual train
speeds. BNSF trains through downtown Fort Collins travel at speeds under 25 mph.
This has implications for the calculation of risk indices. According to Appendix D of the Train Horn Rule:
“Per guidance from DOT, $3 million is the value placed on preventing a fatality. The
Abbreviated Injury Scale (AIS) developed by the Association for the Advancement of
Automotive Medicine categorizes injuries into six levels of severity. Each AIS level is
assigned a value of injury avoidance as a fraction of the value of avoiding a fatality. FRA
rates collisions that occur at train speeds in excess of 25 mph as an AIS level 5
($2,287,500) and injuries that result from collisions involving trains traveling under 25
mph as an AIS level 2 ($46,500). About half of grade crossing collisions occur at speeds
greater than 25 mph. Therefore, FRA estimates that the value of preventing the average
injury resulting from a grade crossing collision is $1,167,000 (the average of an AIS-5
injury and an AIS-2 injury).” Appendix D
Based on the above information, the FRA uses $1,167,000 as the cost of an injury crash in the calculation
of all of the various indices. This is appropriate for the calculation of the Nationwide Significant Risk
Threshold where, according to the FRA, about half of the 42,544 crossings evaluated have train speeds
above 25 mph and about half have train speeds below 25 mph. However, for specific crossings where
actual train speeds are known it is appropriate to use either the upper value of $2,287,500, the lower
value of $46,500 or a weighted average of the two depending on the actual train speeds.
Along Mason Street with an average speed of 18 mph and the 95th percentile speed of 22 mph, it is
appropriate to apply the value for train speeds of less than 25 mph ($46,500) as the cost of an injury
crash.
7 - Safety Analysis Along Mason Street
Following the detailed process outlined in Appendix D of the Train Horn Rule, the Risk Indices for each
crossing as well as the overall Mason Corridor can be determined.
The calculation includes updated traffic data, existing safety measures, and $46,500 as the cost of an
injury crash. This is in accordance with Appendix D of the Train Horn Rule and accounts for the 95th
percentile train speed of 22 mph in the Mason corridor. It is understood that this information will need
to be updated in the official crossing inventory within six (6) months prior to the implementation of a
quiet zone.
Train Speeds Along Mason
Average: 18 mph
95
th
Percentile: 22 mph
Page 9 of 14
Table 2 shows the calculated risk indices at each intersection as well as the overall average risk indices
for the corridor. The columns show the risk index with horns (the current existing conditions) and the
Quiet Zone Risk Index with the proposed closures at three crossings. Appendix B shows the data and
detailed calculations. All crossings on Mason have Quiet Zone Risk Indices less than the Nationwide
Significant Risk Threshold of 14,347. The overall corridor also has a risk index significantly below the
Nationwide Threshold. The proposed closures further enhance safety. Therefore, according to the rule,
the corridor is qualified for a Quiet Zone.
Table 2 – Mason Corridor Risk Indices
Crossing Location
(Street)
Risk Index with Horns
(Existing Conditions)
Quiet Zone Risk Index
(Proposed Conditions)
Nationwide
Threshold
College 5,834 9,731
14,347
Cherry 4,362 7,275
Maple 3,425 5,713
LaPorte 5,277 8,801
Mountain 5,687 9,486
Oak 2,827 4,715
Olive 3,514 6,516
Magnolia 6,745 0
Mulberry 6,892 11,651
Myrtle 5,031 0
Laurel 6,473 10,906
Old Main 12,269 0
Corridor
5,695
6,799
8 - Waiver Request
As noted previously, once a corridor is qualified for a Quiet Zone, there are two additional requirements
before implementation can take place: The corridor must be ½ mile long, and ALL crossings must have
flashing lights and gates equipped with constant warning time track circuitry and power out indicators.
The Mason corridor for which the City is pursuing a Quiet Zone is 1.16 miles long and meets the first
requirement.
For the second requirement, of the 12 total crossings, there are two locations that meet the
requirement. The City is proposing to close three crossings to vehicular traffic, and the remaining seven
crossings have lights and constant warning circuitry. These seven locations do not have gates, and as
noted earlier, the installation of gates is not feasible and presents safety concerns because of the unique
nature of Mason Street. In lieu of gates, all locations already have or are proposed for full traffic signals
that are tied to railroad circuitry to provide redundant crossing protection.
Table 3 summarizes the crossing information and provides specifics on the waiver request.
All
Crossings
have Risk
Index
LOWER
than the
Nationwide
Threshold
Page 10 of 14
Table 3 – Waiver Request Summary
STREET DOT # RR
CIRCUITRY
GATES/
LIGHTS INTERSECTION CONTROL
WAIVER
REQUEST
College 244643V Constant Warning Gates & Lights n/a
Cherry 244642N Constant Warning Gates & Lights n/a
Maple 244641G Constant Warning Flashing Lights 2-way STOP –
Signal Proposed Gates
LaPorte 244640A Constant Warning Flashing Lights Traffic Signal Gates
Mountain 244639F Constant Warning Flashing Lights Traffic Signal Gates
Oak 244638Y Constant Warning Flashing Lights Traffic Signal Gates
Olive 244637S Constant Warning Flashing Lights Traffic Signal Gates
Magnolia 244636K None None 2-way STOP –
Closure Proposed
Mulberry 244635D Constant Warning Flashing Lights Traffic Signal Gates
Myrtle 244634W None None 2-way STOP -
Closure Proposed
Laurel 244633P Constant Warning Flashing Lights Traffic Signal Gates
Old Main 244632H None None All-way STOP –
Closure Proposed
9 - Safety Impact of Waiver Request
The risk indices used by the FRA are monetized measures of crash risk at grade crossings. They
represent an estimated cost of crashes. However, the same procedures used in calculating the indices
can also be used to estimate annual crash risk, with the results reflecting crash frequency. The City
conducted an analysis using the methodology outlined in the Train Horn Rule to determine the safety
impact of the waiver request. Table 4 compares calculated crash frequency among existing conditions,
full quiet zone compliance (i.e. gates at all locations), and the proposed scenario of three closures and
seven locations with signals but no gates. Details of the data and calculations are included in Appendix
B.
Table 4 – Quiet Zone Risk Index and Equivalent Crash Risk
Comparison Existing Conditions
With Horns
Quiet Zone as
Proposed (3
closures and seven
gate waivers)
Quiet Zone Meeting
Minimum
Requirements
(gates at all
crossings)
Corridor Risk Index 5,695 6,799 7,476
Equivalent Average Annual Injury Crashes* 1 every 117 years 1 every 107 years 1 every 89 years
Equivalent Average Annual Fatal Crashes* 1 every 711 years 1 every 650 years 1 every 542 year
* Equivalent Average Annual Injury Crashes is the average risk of crashes at any one
of the twelve intersections on the corridor.
Page 11 of 14
As shown, the crash risk in all scenarios is very minimal (reflected by the risk index that is about half the
Nationwide Threshold). The addition of gates at all the crossings (implementation of a normal quiet
zone) has limited positive benefit on overall safety for the corridor. In fact, the City’s proposal of three
closures and seven locations with full traffic signals (but no gates) is estimated to have less crash risk
than a fully compliant quiet zone (with no waiver required).
10 - Waiver Process - One Party Application
Section 222.15 of the Train Horn Rule indicates that two parties must jointly file a petition for a waiver –
the owning railroad and the public authority with jurisdiction over the roadway. The rule also states
that if the two parties cannot reach an agreement for a waiver application, a one-party application is
allowable.
The City of Fort Collins is making this waiver request as a one-party applicant. It’s important to note that
the City and BNSF have a strong partnership and ongoing conversations and collaboration occur,
especially throughout the recent safety project to install curbing, open ballast, sign and signal upgrades.
The ongoing dialogue between the parties has clearly determined that it is their preference to continue
blowing horns in the corridor.
Because the City’s interest is in both safety and quality of life, the City is moving forward with the
pursuit of a Quiet Zone. The City does not believe that a joint petition is necessary for public safety
since the request is based on safety calculations and analysis outlined in the Train Horn Rule that don’t
change with the number of applicants. The results indicate that the corridor will operate with a Quiet
Zone Risk Index well below the Nationwide Significant Risk Index even with the requested waivers
granted.
11 - Overall Process – Next Steps
This waiver request is just the first step in the process of implementing a Quiet Zone through downtown
Fort Collins. If and when the waiver for full gates is granted at the requested seven crossings, then
significant further coordination and work will take place. This will include:
Update of the official crossing inventory timetable speed within six months to reflect actual train
speed within the downtown corridor
Full diagnostics for the corridor with BNSF, FRA and Colorado PUC
Official proposal for the Quiet Zone. The official proposal will include finalized details of the
closing of three crossings, and a number of other items, including:
o Notice of operational left and right turn prohibitions to train crews
o Trespass enforcement program
o “No Train Horn” signage
o Citywide media campaign
All of the above will need to be successful before implementation of the Quiet Zone can take place.
Page 12 of 14
12 - Conclusion
The City has invested approximately $4 million on significant safety improvements on Mason Street
through Old Town Fort Collins over the past two years.
Due to quality of life and economic vitality issues, the City is pursuing a Quiet Zone. Taking into account
the low speed of trains on the corridor, the Risk Index for the Quiet Zone on the Mason Corridor
(including the proposed closure of three crossings to vehicular traffic) is 6,799. This is substantially less
than the Nationwide Significant Risk Threshold (14,347) which qualifies the corridor for a Quiet Zone.
The additional requirement for gates to implement a
Quiet Zone is not feasible due to the unique
configuration of the tracks in the middle of Mason
Street. In fact, the installation of gates would present
safety concerns of their own. In lieu of gates, the City
is proposing to close three crossings to vehicular traffic
and install a traffic signal at a fourth to further
enhance the safety of the area’s interaction with the
railroad tracks.
The City is requesting a waiver of the gate requirement
at seven of the 12 crossings in the corridor. All seven
crossings without gates will have full traffic signals that
are tied to railroad circuitry. Based on analysis of crash
risk using the methodology described in the Train Horn Rule, the absence of gates has minimal impact
on crash risk.
Therefore, in accordance with 49 CFR part 211, The City of Fort Collins thereby requests a waiver to
section 222.35(b) of the Train Horn Rule at seven crossing in the Mason Street corridor be granted so
that a quiet zone can be implemented through the City’s historic downtown.
Unique configuration of tracks parallel to
roadway renders gates infeasible.
Page 13 of 14
1 The Denver Post, December 2, 2013. http://www.denverpost.com/breakingnews/ci_24640132/train-noise-
slows-nearby-economic-growth-colorado-city
2 Senator Michael F. Bennet, United States Senator from Colorado, January 24, 2013.
http://www.bennet.senate.gov/newsroom/press/release/bennet-udall-urge-changes-to-train-horn-rule
3Congressman Cory Gardner, April 2013. http://gardner.house.gov/press-release/gardner-polis-combat-train-
noise
4 Downtown Development Authority, City of Fort Collins Quiet Zone Study, Final Report, July 6, 2011.
http://www.fcgov.com/transportationplanning/pdf/phase-1-quiet-zone-final-report-7-6-11.pdf
5 Rail-Highway Crossing Resource Allocation Procedure User’s Guide, Third Edition. August 1987.
http://www.fra.dot.gov/eLib/details/L02900
6 Adjustment of Nationwide Significant Risk Threshold. Federal Register, Vol. 78, No. 228.
http://www.fra.dot.gov/eLib/details/L04873
7 Analysis of the Safety Impact of Train Horn Bans at Highway-Rail Grade Crossings: An Update Using 1997 – 2001
Data, Paul Zador, August 13, 2003. http://www.fra.dot.gov/eLib/details/L02685
Page 14 of 14
Appendix A
Train Speed Information
City of Fort Collins Train Speed Study
Street: Mason Mulberry to Laporte
Direction: Northbound
Date: September 1, 2013 - November 26, 2013
Speed # of Trains (fx) Cum. %
10 1 10 0.6
11 1 11 1.3
12 3 36 3.1
13 0 0 3.1
14 4 56 5.7
15 9 135 11.3
16 22 352 25.2
17 19 323 37.1
18 29 522 55.3
19 27 513 72.3
20 24 480 87.4
21 9 189 93.1
22 6 132 96.9
23 1 23 97.5
24 1 24 98.1
25 0 0 98.1
26 2 52 99.4
27 0 0 99.4
28 0 0 99.4
29 0 0 99.4
30 1 30 100.0
31 0 0 100.0
32 0 0 100.0
33 0 0 100.0
34 0 0 100.0
35 0 0 100.0
36 0 0 100.0
37 0 0 100.0
38 0 0 100.0
39 0 0 100.0
40 0 0 100.0
41 0 0 100.0
42 0 0 100.0
43 0 0 100.0
44 0 0 100.0
45 0 0 100.0
Total 159 2831
15th percentile speed 16 mph
50th percentile speed 18
85th percentile speed 20
95th percentile speed 22
99th percentile speed 30.0
Average Speed 17.8
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
13 18 23 28 33 38 43
City of Fort Collins Train Speed Study
Street: Mason Mulberry to Laporte
Direction: Southbound
Date: September 1, 2013 - November 26, 2013
Speed # of Trains (fx) Cum. %
10 0 0 0.0
11 1 11 0.7
12 1 12 1.4
13 6 78 5.8
14 9 126 12.2
15 15 225 23.0
16 26 416 41.7
17 23 391 58.3
18 28 504 78.4
19 18 342 91.4
20 6 120 95.7
21 0 0 95.7
22 4 88 98.6
23 0 0 98.6
24 1 24 99.3
25 0 0 99.3
26 1 26 100.0
27 0 0 100.0
28 0 0 100.0
29 0 0 100.0
30 0 0 100.0
31 0 0 100.0
32 0 0 100.0
33 0 0 100.0
34 0 0 100.0
35 0 0 100.0
36 0 0 100.0
37 0 0 100.0
38 0 0 100.0
39 0 0 100.0
40 0 0 100.0
41 0 0 100.0
42 0 0 100.0
43 0 0 100.0
44 0 0 100.0
45 0 0 100.0
Total 139 2340
15th percentile speed 15 mph
50th percentile speed 17
85th percentile speed 19
95th percentile speed 20
99th percentile speed 24.0
Average Speed 16.8
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
13 18 23 28 33 38 43
City of Fort Collins Train Speed Study
Street: Mason Mulberry to Laporte
Direction: Northbound + Southbound
Date: September 1, 2013 - November 26, 2013
Speed # of Trains (fx) Cum. %
10 1 10 0.3
11 2 22 1.0
12 4 48 2.3
13 6 78 4.4
14 13 182 8.7
15 24 360 16.8
16 48 768 32.9
17 42 714 47.0
18 57 1026 66.1
19 45 855 81.2
20 30 600 91.3
21 9 189 94.3
22 10 220 97.7
23 1 23 98.0
24 2 48 98.7
25 0 0 98.7
26 3 78 99.7
27 0 0 99.7
28 0 0 99.7
29 0 0 99.7
30 1 30 100.0
31 0 0 100.0
32 0 0 100.0
33 0 0 100.0
34 0 0 100.0
35 0 0 100.0
36 0 0 100.0
37 0 0 100.0
38 0 0 100.0
39 0 0 100.0
40 0 0 100.0
41 0 0 100.0
42 0 0 100.0
43 0 0 100.0
44 0 0 100.0
45 0 0 100.0
Total 298 5171
15th percentile speed 15 mph
50th percentile speed 18
85th percentile speed 20
95th percentile speed 22
99th percentile speed 26.0
Average Speed 17.4
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
13 18 23 28 33 38 43
Appendix B
Risk Indices Calculations
General Notes for Calculations:
1) "Current FRA Methodology" Worksheet includes current data from the Official Crossing Inventory for each
crossing
Risk Index with Horn and Quiet Zone Risk Index calculated with the Current FRA Methodology reconcile
with results from the FRA's Online Risk Index Calculator.
This was done to validate the spreadsheet calculations and verify that they accurately reflect the official
FRA methods.
2) "Updated Methodology" worksheets all include the following:
Updated Traffic Data (shown in red)
Calculations for crash risk without horns for passive crossings, crossings with flashing lights, and
crossings with gates in accordance with FRA Research found here:
http://www.fra.dot.gov/eLib/details/L02685
except the Quiet Zone Risk Index calculated for locations without gates assumes an increase
in crashes of 66.8% (the value where gates are present). This is conservative as the FRA
research found only a 30.9% increase in crashes where only flashing lights were present.
Updated injury crash costs taking into account train speed as per Appendix D in the Train Horn Rule
3) Table 2 in the Waiver Request references results from the "Updated Methodology - RIWH" worksheet
(Table 2 Column 2) and the "Updated Methodology - QZRI" worksheet (Table 2 Column 3).
4) Table 4 in the Waiver Request references results from the "Updated Methodology - RIWH" worksheet (Table 4
Column 2), the "Updated Methodology - QZRI" worksheet (Table 4 Column 3), and the "Updated Methodology -
Gates" worksheet (Table 4 Column 4).
Current FRA Methodology
STREET
DOT #
M.P.
MIN. DISTBTWNXINGS (m
MIN. DISTBTWNXINGS (f
MAX TIME TABLE SPEED
# OF TRACKS
DAY THRU TRAINS
TOTALTRAINS
NO> HIGHWAY LANES
TRAFFIC VOLUME
Crossing Category
(See Note 4)
Formula
Constant, K
Eqn. 1
Exposure
Index
Factor, EI
Eqn. 2
Day Thru
Trains
Factor, DT
Eqn. 3
Max.
Timetable
Speed
Factor, MS
Eqn. 4
Main
Tracks
Factor,
MT
Eqn. 5
Highway
Paved
Factor,
HP
Eqn. 6
Highway
Lanes
Factor, HL
Eqn. 7
Crossing
Characteri
stic Factor,
a
Accidents
in last 5
years,
N
No. of
years,
T
Accidents
per year,
N / T
Formula
Weighting
Current FRA Methodology
Constant,
KF
Max
Timetable
Speed
Factor, MS
Day Thru
Trains
Factor, TT
Switch
Trains per
Day
Factor, TS
Urban or
Rural
Factor, UR
Probability
of Fatal
Accident,
P(FA|A)
Constant,
KC
Max
Timetable
Speed
Factor, MS
Number of
Tracks
Factor, TK
Urban or
Rural
Factor,
UR
Probability
of Casualty
Accident,
P(CA|A)
Predicted
Fatal
Accidents
per year,
FA
Predicted
Injury
Accidents
per year
Predicted
Cost of
Fatalities
Predicted
Cost of
Injuries
Risk Index
with Horn
(with Max.
Speed 49
MPH)
Quiet Zone Risk Index
(with Max Speed 49
Updated Methodology - RIWH
STREET
DOT #
M.P.
DISTBTWNXINGS (mi.)
DISTBTWNXINGS (ft.)
TRAIN SPEED
# OF TRACKS
DAY THRU TRAINS
TOTALTRAINS
NO> HIGHWAY LANES
TRAFFIC VOLUME
Year of Count
Crossing Category
Formula
Constant, K
Eqn. 1
Exposure
Index
Factor, EI
Eqn. 2
Day Thru
Trains
Factor, DT
Eqn. 3
Max.
Timetable
Speed
Factor, MS
Eqn. 4
Main
Tracks
Factor,
MT
Eqn. 5
Highway
Paved
Factor,
HP
Eqn. 6
Highway
Lanes
Factor, HL
Eqn. 7
Crossing
Characteri
stic Factor,
a
Accidents
in last 5
years,
N
No. of
years,
T
Accidents
per year,
N / T
Formula
Weighting
Updated Methodology - RIWH
Constant,
KF
Max
Timetable
Speed
Factor, MS
Day Thru
Trains
Factor, TT
Switch
Trains per
Day
Factor, TS
Urban or
Rural
Factor, UR
Probability
of Fatal
Accident,
P(FA|A)
Constant,
KC
Max
Timetable
Speed
Factor, MS
Number of
Tracks
Factor, TK
Urban or
Rural
Factor,
UR
Probability
of Casualty
Accident,
P(CA|A)
Predicted
Fatal
Accidents per
year with Horn
FA
Predicted
Injury
Accidents per
year with
Horn
Predicted
Cost of
Fatalities
with Horn
Predicted
Cost of
Injuries
with Horn
Risk Index with Horn
with 22 MPH and
Correct Injury Cost
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0014 0.0087 5169 665 5,834
Updated Methodology - QZRI
STREET
DOT #
M.P.
DISTBTWNXINGS (mi.)
DISTBTWNXINGS (ft.)
TRAIN SPEED
# OF TRACKS
DAY THRU TRAINS
TOTALTRAINS
NO> HIGHWAY LANES
TRAFFIC VOLUME
Year of Count
Crossing Category
Formula
Constant, K
Eqn. 1
Exposure
Index
Factor, EI
Eqn. 2
Day Thru
Trains
Factor, DT
Eqn. 3
Max.
Timetable
Speed
Factor, MS
Eqn. 4
Main
Tracks
Factor,
MT
Eqn. 5
Highway
Paved
Factor,
HP
Eqn. 6
Highway
Lanes
Factor, HL
Eqn. 7
Crossing
Characteri
stic Factor,
a
Accidents
in last 5
years,
N
No. of
years,
T
Accidents
per year,
N / T
Formula
Weighting
Updated Methodology - QZRI
Constant,
KF
Max
Timetable
Speed
Factor, MS
Day Thru
Trains
Factor, TT
Switch
Trains per
Day
Factor, TS
Urban or
Rural
Factor, UR
Probability
of Fatal
Accident,
P(FA|A)
Constant,
KC
Max
Timetable
Speed
Factor, MS
Number of
Tracks
Factor, TK
Urban or
Rural
Factor,
UR
Probability
of Casualty
Accident,
P(CA|A)
Predicted
Fatal
Accidents
per year
with Horn
FA
Predicted
Fatal
Accidents per
year without
Horn
FA
Predicted
Injury
Accidents
per year
with Horn
Predicted
Injury
Accidents per
year without
Horn
Updated Methodology - Gates
STREET
DOT #
M.P.
DISTBTWNXINGS (mi.)
DISTBTWNXINGS (ft.)
TRAIN SPEED
# OF TRACKS
DAY THRU TRAINS
TOTALTRAINS
NO> HIGHWAY LANES
TRAFFIC VOLUME
Year of Count
Crossing
Category
Formula
Constant, K
Eqn. 1
Exposure
Index
Factor, EI
Eqn. 2
Day Thru
Trains
Factor, DT
Eqn. 3
Max.
Timetable
Speed
Factor, MS
Eqn. 4
Main
Tracks
Factor,
MT
Eqn. 5
Highway
Paved
Factor,
HP
Eqn. 6
Highway
Lanes
Factor, HL
Eqn. 7
Crossing
Characteri
stic Factor,
a
Accidents
in last 5
years,
N
No. of
years,
T
Accidents
per year,
N / T
Formula
Updated Methodology - Gates
Constant,
KF
Max
Timetable
Speed
Factor, MS
Day Thru
Trains
Factor, TT
Switch
Trains per
Day
Factor, TS
Urban or
Rural
Factor, UR
Probability
of Fatal
Accident,
P(FA|A)
Constant,
KC
Max
Timetable
Speed
Factor, MS
Number of
Tracks
Factor, TK
Urban or
Rural
Factor,
UR
Probability
of Casualty
Accident,
P(CA|A)
Predicted
Fatal
Accidents
per year
with Horn
FA
Predicted
Fatal
Accidents
per year
without Horn
FA
Predicted
Injury
Accidents
per year
with Horn
Predicted
Injury
Accidents per
year without
Horn
Appendix C
Railroad Compliance
Railroad Compliance Study
Mason and Maple Two way stop with railroad flashers, no gates
Compliance during the flashing red railroad signal, before train enters the intersection
Non-stopping vehicles Practically Stopped Vehicles Voluntary Full Stop Stopped By Traffic Total Vehicles Total Train Events
12/8/14 thru 12/13/14 6 22 57 24 109 29
5.5% 20.2% 52.3% 22.0%
Movements by non-stopping and practically stopped vehicles
4 straight 19 straight
1 left 1 right
1 straight bike 2 left
Mason and Laporte Signalized intersection, with railroad flashers, no gates
Compliance during the flashing red railroad signal and all red traffic signal, before train enters the intersection
Non-stopping vehicles Practically Stopped Vehicles Voluntary Full Stop Stopped By Traffic Total Vehicles Total Train Events
12/4/14 to 12/6/14 5 2 62 47 116 23
12/15/14 to 12/17/14 4.3% 1.7% 53.4% 40.5%
Movements by non-stopping and practically stopped vehicles
2 right turns 2 right turns
3 straight bikes
25.7%
6.0%
74.3%
94.0%
Appendix D
Applicable Resolutions
Appendix E
Letters of Support
Predicted
Cost of
Fatalities
without
Horn
Predicted
Cost of
Injuries
without
Horn
Quiet Zone Risk
Index with 22
MPH, Correct
Injury Cost and
Correct Crash Risk
Factors
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0014 0.0024 0.0087 0.0146 8622 1109 9,731
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0011 0.0018 0.0065 0.0109 6446 829 7,275
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0008 0.0013 0.0046 0.0077 4534 583 5,117
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0012 0.0019 0.0070 0.0117 6891 886 7,777
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0013 0.0021 0.0076 0.0127 7511 966 8,476
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0006 0.0011 0.0039 0.0065 3858 496 4,354
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0008 0.0013 0.0047 0.0078 4635 596 5,231
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0008 0.0013 0.0047 0.0078 4602 592 5,194
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0016 0.0026 0.0095 0.0158 9372 1205 10,577
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0006 0.0010 0.0035 0.0058 3429 441 3,870
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0015 0.0024 0.0088 0.0147 8683 1116 9,799
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0018 0.0030 0.0111 0.0184 10906 1402 12,309
0.0011 0.0018 0.0067 0.0112 7,476
Equivalent Average Annual Fatal Crashes 541.9293 89.2942 Equivalent Ave Annual Injury Crashes
Probability of a Fatal Accident given an accident occurs: Risk Index with Horns
P(FA|A) = 1 / (1 + KF * MS * TT * TS * UR)
* (N / T) P(FA|A) = probability of a fatal accident, given an accident FA * Avg. No.of fatalities in fatal collisions * $3 million*1.1966
KF = formula constant (440.9)
MS = factor for maximum timetable speed = ms^-0.9981, ms=max timetable speed IA * Avg. No. of injuries in injury collisions * $1.167 million*1.6356
per year per crossing TT = factor for thru trains per day = (tt + 1)^-0.0872, tt=thru trains per day
TS = factor for switch trains per day = (ts + 1)^0.0872, ts=switch trains per day
hts UR = factor for urban or rural crossing = e^0.357ur , ur: urban=1.0; rural=0.0
ssings Quiet Zone Risk Index
RIWH * % Increased Risk without Horn
d accidents in T years Probability of a Casualty Accident given an accident occurs: % Increased Risk without Horn
) P(CA|A) = 1 / (1 + KC * MS * TK * UR) Gates: 1.668 see here: http://www.fra.dot.gov/eLib/details/L02685
P(CA|A) = probability of a casualty accident, given an accident Lights: 1.309
KC = formula constant (4.481) Passive: 1.749
MS = factor for maximum timetable speed ms^-0.343, ms=max timetable speed
TK = factor for number of tracks e^0.1153tk, tk=total number of tracks
UR = factor for urban or rural crossing e^0.296ur, ur: urban=1.0; rural=0.0
Predicted Fatal Accidents:
FA = A * P(FA|A)
Predicted Injury Accidents:
IA = A * P(CA|A)-FA
Probability of Casualty Accident Risk Index Calculations
om basic formula
Inventory Bulletin was checked for
sings, flashing light crossings and
ation. Most current Bulletin found
Probability of Fatal Accident
Weighting
Factor,
To
Accident
Prediction,
B
Final Accident
Prediction,
A
College 244 643V 74.63 0.11 581 22 1 8 15 4 22,800 2013 Gates 0.0005745 68.19 1.94 1.00 1.16 1 1.53 0.1352 0 5 0 5.40 0.070 0.034016
Cherry 244 642N 74.52 0.1 528 22 18153 8,900 2013 Gates 0.0005745 51.71 1.94 1.00 1.16 1 1.33 0.0889 0 5 0 7.20 0.052 0.025432
Maple 244 641G 74.42 0.12 634 22 18152 3,100
need to collect data
west of crossing Gates 0.0005745 37.91 1.94 1.00 1.16 1 1.15 0.0566 0 5 0 9.38 0.037 0.017887
Laporte 244 640A 74.30 0.14 739 22 1 8 15 4 7,500 2011 Gates 0.0005745 49.17 1.94 1.00 1.16 1 1.53 0.0975 0 5 0 6.78 0.056 0.027188
Mountain 244 639F 74.16 0.1 528 22 18155 7,000 2010-2011 Gates 0.0005745 48.18 1.94 1.00 1.16 1 1.76 0.1101 0 5 0 6.25 0.061 0.029631
Oak 244 638Y 74.06 0.09 475 22 1 8 15 2 1,600 2010 Gates 0.0005745 31.21 1.94 1.00 1.16 1 1.15 0.0466 0 5 0 10.35 0.031 0.015221
Olive 244 637S 73.97 0.1 528 22 18152 3,400 2010 Gates 0.0005745 38.96 1.94 1.00 1.16 1 1.15 0.0581 0 5 0 9.25 0.038 0.018287
Magnolia 244 636K 73.87 0.09 475 22 18152 3,300 2010 Gates 0.0005745 38.62 1.94 1.00 1.16 1 1.15 0.0576 0 5 0 9.29 0.037 0.018157
Mulberry 244 635D 73.78 0.1 528 22 1 8 15 5 22,000 2011 Gates 0.0005745 67.48 1.94 1.00 1.16 1 1.76 0.1542 0 5 0 4.90 0.076 0.036973
Myrtle 244 634W 73.68 0.14 739 22 18152 1,000 need counts Gates 0.0005745 27.18 1.94 1.00 1.16 1 1.15 0.0406 0 5 0 11.04 0.028 0.013530
Laurel 244 633P 73.54 0.08 422 22 18155 14,600 2010 Gates 0.0005745 59.81 1.94 1.00 1.16 1 1.76 0.1367 0 5 0 5.36 0.071 0.034256
Old Main 244 632H 73.46 0 22 1 8 15 2 890 Gates 0.0005745 26.26 1.94 1.00 1.16 1 1.15 0.0392 1 5 0.2 11.21 0.089 0.043028
NOTES: Crossing Characteristic Factor Equations: General Accident Prediction Formula:
Items in Red vary from what is currently entered in the FRA Crossing Inventory. Eqn. 1: Eqn. 3 Eqn. 5
They have been updated to reflect the most recent and/or most accurate data. Passive ((c x t + 0.2)/0.2)^0.37 Passive: e^0.0077ms Passive: e^-0.5966(hp-1) B = To * (a) + T
Flashing Lights ((c x t + 0.2)/0.2)^0.4106
Flashing
Lights 1.0
Flashing
Lights 1.0 To + T To + T
Gates ((c x t + 0.2)/0.2)^0.2942 Gates: 1.0 Gates: 1.0 where:
Closed c = no. hwy vehicles per day ms = max. timetable speed hp = hwy paved? Yes=1; No=2 A = final where accident prediction, accidents
t = no. trains per day ** A = 0.4846 * B for Gates
** A = 0.3106 * B for Flashing Ligh
Eqn. 2: Eqn. 4: Eqn. 6: ** A = 0.5086 * B for Passive Cros
Passive: ((d + 0.2)/0.2)^0.178 Passive: 1.0 Passive: 1.0 a =
Flashing Lights ((d + 0.2)/0.2)^0.1131
Flashing
Lights e^0.1917mt
Flashing
Lights e^0.1826(h1-1) N / T = accidents per year; N=number of observe
Gates: ((d + 0.2)/0.2)^0.1781 Gates: e^0.1512mt Gates e^0.1420(h1-1) To = formular weighting factor = 1.0 / (0.05 + a)
d = no. thru trains during daylight mt = no. main tracks h1 = no. hwy lanes
Eqn. 7:
a = K x EI x DT x MS x MT x HP x HL
Initial unnormalized accident prediction fro
**FRA's Rail-Highway Crossing Accident/Incident and I
adjustments to normalizing constants for passive cross
gates (in formula for A) and are reflected in this calcula
reflects adjustments dated 2013.
Input Data Crossing Characterization Factor General Accident Prediction Formula
Predicted
Cost of
Fatalities
without
Horn
Predicted
Cost of
Injuries
without
Horn
Quiet Zone Risk
Index with 22
MPH, Correct
Injury Cost and
Correct Crash Risk
Factors
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0014 0.0024 0.0087 0.0146 8622 1109 9,731
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0011 0.0018 0.0065 0.0109 6446 829 7,275
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0008 0.0014 0.0051 0.0086 5062 651 5,713
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0013 0.0022 0.0079 0.0132 7798 1003 8,801
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0014 0.0023 0.0085 0.0142 8405 1081 9,486
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0007 0.0012 0.0042 0.0071 4178 537 4,715
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0010 0.0016 0.0059 0.0098 5774 742 6,516
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0000 0.0000 0.0000 0.0000 0 0 0
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0017 0.0029 0.0105 0.0175 10323 1327 11,651
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0000 0.0000 0.0000 0.0000 0 0 0
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0016 0.0027 0.0098 0.0163 9663 1243 10,906
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0000 0.0000 0.0000 0.0000 0 0 0
0.0009 0.0015 0.0056 0.0093 6,799
Equivalent Average Annual Fatal Crashes 650.0106 107.1029 Equivalent Ave Annual Injury Crashes
Probability of a Fatal Accident given an accident occurs: Risk Index with Horns
P(FA|A) = 1 / (1 + KF * MS * TT * TS * UR)
* (N / T) P(FA|A) = probability of a fatal accident, given an accident FA * Avg. No.of fatalities in fatal collisions * $3 million*1.1966
KF = formula constant (440.9)
MS = factor for maximum timetable speed = ms^-0.9981, ms=max timetable speed IA * Avg. No. of injuries in injury collisions * $1.167 million*1.6356
per year per crossing TT = factor for thru trains per day = (tt + 1)^-0.0872, tt=thru trains per day
TS = factor for switch trains per day = (ts + 1)^0.0872, ts=switch trains per day
hts UR = factor for urban or rural crossing = e^0.357ur , ur: urban=1.0; rural=0.0
ssings Quiet Zone Risk Index
RIWH * % Increased Risk without Horn
d accidents in T years Probability of a Casualty Accident given an accident occurs: % Increased Risk without Horn
) P(CA|A) = 1 / (1 + KC * MS * TK * UR) Gates: 1.668 see here: http://www.fra.dot.gov/eLib/details/L02685
P(CA|A) = probability of a casualty accident, given an accident Lights: 1.309 1.668
KC = formula constant (4.481) Passive: 1.749
MS = factor for maximum timetable speed ms^-0.343, ms=max timetable speed
TK = factor for number of tracks e^0.1153tk, tk=total number of tracks
UR = factor for urban or rural crossing e^0.296ur, ur: urban=1.0; rural=0.0
Predicted Fatal Accidents:
FA = A * P(FA|A)
Predicted Injury Accidents:
IA = A * P(CA|A)-FA
om basic formula
Inventory Bulletin was checked for
sings, flashing light crossings and
ation. Most current Bulletin found
Probability of Fatal Accident Probability of Casualty Accident Risk Index Calculations
Factor,
To
Accident
Prediction,
B
Final Accident
Prediction,
A
College 244 643V 74.63 0.11 581 22 1 8 15 4 22,800 2013 Gates 0.0005745 68.19 1.94 1.00 1.16 1 1.53 0.1352 0 5 0 5.40 0.070 0.034016
Cherry 244 642N 74.52 0.1 528 22 18 153 8,900 2013 Gates 0.0005745 51.71 1.94 1.00 1.16 1 1.33 0.0889 0 5 0 7.20 0.052 0.025432
Maple 244 641G 74.42 0.12 634 22 18 152 3,100
need to collect data
west of crossing Flashing Lights 0.0003351 159.75 1.52 1.00 1.21 1 1.20 0.1185 0 5 0 5.94 0.064 0.019972
Laporte 244 640A 74.30 0.14 739 22 1 8 15 4 7,500 2011 Flashing Lights 0.0003351 229.62 1.52 1.00 1.21 1 1.73 0.2453 0 5 0 3.39 0.099 0.030767
Mountain 244 639F 74.16 0.1 528 22 18 155 7,000 2010-2011 Flashing Lights 0.0003351 223.20 1.52 1.00 1.21 1 2.08 0.2862 0 5 0 2.97 0.107 0.033159
Oak 244 638Y 74.06 0.09 475 22 1 8 15 2 1,600 2010 Flashing Lights 0.0003351 121.76 1.52 1.00 1.21 1 1.20 0.0903 0 5 0 7.13 0.053 0.016483
Olive 244 637S 73.97 0.1 528 22 18 152 5,050 2010 Flashing Lights 0.0003351 195.20 1.52 1.00 1.21 1 1.20 0.1447 0 5 0 5.13 0.073 0.022778
Magnolia 244 636K 73.87 0.09 475 22 18 152 0 2010 Closed 0.0006938 1.00 1.94 1.18 1.00 1 1.00 0.0016 0 5 0 19.38 0.001 0.000644
Mulberry 244 635D 73.78 0.1 528 22 1 8 15 5 24,150 2011 Flashing Lights 0.0003351 371.13 1.52 1.00 1.21 1 2.08 0.4760 0 5 0 1.90 0.131 0.040728
Myrtle 244 634W 73.68 0.14 739 22 18 152 0 need counts Closed 0.0006938 1.00 1.94 1.18 1.00 1 1.00 0.0016 0 5 0 19.38 0.001 0.000644
Laurel 244 633P 73.54 0.08 422 22 18 155 15,545 2010 Flashing Lights 0.0003351 309.72 1.52 1.00 1.21 1 2.08 0.3972 0 5 0 2.24 0.123 0.038124
Old Main 244 632H 73.46 0.22 1162 22 1 8 15 2 0 Closed 0.0006938 1.00 1.94 1.18 1.00 1 1.00 0.0016 1 5 0.2 19.38 0.042 0.021502
NOTES: Crossing Characteristic Factor Equations: General Accident Prediction Formula:
Items in Red vary from what is currently entered in the FRA Crossing Inventory. Eqn. 1: Eqn. 3 Eqn. 5
They have been updated to reflect the most recent and/or most accurate data. Passive ((c x t + 0.2)/0.2)^0.37 Passive: e^0.0077ms Passive: e^-0.5966(hp-1) B = To * (a) + T
Flashing Lights ((c x t + 0.2)/0.2)^0.4106
Flashing
Lights 1.0
Flashing
Lights 1.0 To + T To + T
Gates ((c x t + 0.2)/0.2)^0.2942 Gates: 1.0 Gates: 1.0 where:
Closed c = no. hwy vehicles per day ms = max. timetable speed hp = hwy paved? Yes=1; No=2 A = final where accident prediction, accidents
t = no. trains per day ** A = 0.4846 * B for Gates
** A = 0.3106 * B for Flashing Ligh
Eqn. 2: Eqn. 4: Eqn. 6: ** A = 0.5086 * B for Passive Cros
Passive: ((d + 0.2)/0.2)^0.178 Passive: 1.0 Passive: 1.0 a =
Flashing Lights ((d + 0.2)/0.2)^0.1131
Flashing
Lights e^0.1917mt
Flashing
Lights e^0.1826(h1-1) N / T = accidents per year; N=number of observe
Gates: ((d + 0.2)/0.2)^0.1781 Gates: e^0.1512mt Gates e^0.1420(h1-1) To = formular weighting factor = 1.0 / (0.05 + a)
d = no. thru trains during daylight mt = no. main tracks h1 = no. hwy lanes
Eqn. 7:
a = K x EI x DT x MS x MT x HP x HL
Initial unnormalized accident prediction fro
**FRA's Rail-Highway Crossing Accident/Incident and I
adjustments to normalizing constants for passive cross
gates (in formula for A) and are reflected in this calcula
reflects adjustments dated 2013.
Input Data Crossing Characterization Factor General Accident Prediction Formula
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0011 0.0065 3865 497 4,362
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0008 0.0051 3035 390 3,425
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0013 0.0079 4675 601 5,277
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0014 0.0085 5039 648 5,687
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0007 0.0042 2505 322 2,827
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0009 0.0053 3114 400 3,514
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0017 0.0101 5976 768 6,745
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0017 0.0103 6107 785 6,892
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0012 0.0075 4458 573 5,031
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0016 0.0097 5736 737 6,473
440.9 0.046 0.785 1.00 1.429 0.0423 4.481 0.346 1.122 1.344 0.2992 0.0030 0.0184 10871 1398 12,269
0.0014 0.0085 5,695
Equivalent Average Annual Fatal Crashes 711.4521 117.2266 Equivalent Average Annual Injury Crashes
Probability of a Fatal Accident given an accident occurs: Risk Index with Horns
P(FA|A) = 1 / (1 + KF * MS * TT * TS * UR)
* (N / T) P(FA|A) = probability of a fatal accident, given an accident FA * Avg. No.of fatalities in fatal collisions * $3 million*1.1966
KF = formula constant (440.9)
MS = factor for maximum timetable speed = ms^-0.9981, ms=max timetable speed IA * Avg. No. of injuries in injury collisions * $1.167 million*1.6356
per year per crossing TT = factor for thru trains per day = (tt + 1)^-0.0872, tt=thru trains per day
TS = factor for switch trains per day = (ts + 1)^0.0872, ts=switch trains per day
hts UR = factor for urban or rural crossing = e^0.357ur , ur: urban=1.0; rural=0.0
ssings
d accidents in T years Probability of a Casualty Accident given an accident occurs:
) P(CA|A) = 1 / (1 + KC * MS * TK * UR)
P(CA|A) = probability of a casualty accident, given an accident
KC = formula constant (4.481)
MS = factor for maximum timetable speed ms^-0.343, ms=max timetable speed
TK = factor for number of tracks e^0.1153tk, tk=total number of tracks
UR = factor for urban or rural crossing e^0.296ur, ur: urban=1.0; rural=0.0
Predicted Fatal Accidents:
FA = A * P(FA|A)
Predicted Injury Accidents:
IA = A * P(CA|A)-FA
Risk Index Calculations
Inventory Bulletin was checked for
sings, flashing light crossings and
ation. Most current Bulletin found
Probability of Fatal Accident Probability of Casualty Accident
om basic formula
Factor,
To
Accident
Prediction,
B
Final Accident
Prediction,
A
College 244 643V 74.63 0.11 581 22 1 8 15 4 22,800 2013 Gates 0.0005745 68.19 1.94 1.00 1.16 1 1.53 0.1352 0 5 0 5.40 0.070 0.034016
Cherry 244 642N 74.52 0.1 528 22 18 153 8,900 2013 Gates 0.0005745 51.71 1.94 1.00 1.16 1 1.33 0.0889 0 5 0 7.20 0.052 0.025432
Maple 244 641G 74.42 0.12 634 22 18 152 3,100
need to collect data
west of crossing Flashing Lights 0.0003351 159.75 1.52 1.00 1.21 1 1.20 0.1185 0 5 0 5.94 0.064 0.019972
Laporte 244 640A 74.30 0.14 739 22 1 8 15 4 7,500 2011 Flashing Lights 0.0003351 229.62 1.52 1.00 1.21 1 1.73 0.2453 0 5 0 3.39 0.099 0.030767
Mountain244 639F 74.16 0.1 528 22 18 155 7,000 2010-2011 Flashing Lights 0.0003351 223.20 1.52 1.00 1.21 1 2.08 0.2862 0 5 0 2.97 0.107 0.033159
Oak 244 638Y 74.06 0.09 475 22 1 8 15 2 1,600 2010 Flashing Lights 0.0003351 121.76 1.52 1.00 1.21 1 1.20 0.0903 0 5 0 7.13 0.053 0.016483
Olive 244 637S 73.97 0.1 528 22 18 152 3,400 2010 Flashing Lights 0.0003351 165.93 1.52 1.00 1.21 1 1.20 0.1230 0 5 0 5.78 0.066 0.020490
Magnolia 244 636K 73.87 0.09 475 22 18 152 3,300 2010 Passive Crossing 0.0006938 99.00 1.94 1.18 1.00 1 1.00 0.1576 0 5 0 4.82 0.077 0.039327
Mulberry 244 635D 73.78 0.1 528 22 1 8 15 5 22,000 2011 Flashing Lights 0.0003351 357.19 1.52 1.00 1.21 1 2.08 0.4581 0 5 0 1.97 0.129 0.040187
Myrtle 244 634W 73.68 0.14 739 22 18 152 1,000 need counts Passive Crossing 0.0006938 63.65 1.94 1.18 1.00 1 1.00 0.1013 0 5 0 6.61 0.058 0.029334
Laurel 244 633P 73.54 0.08 422 22 18 155 14,600 2010 Flashing Lights 0.0003351 301.84 1.52 1.00 1.21 1 2.08 0.3871 0 5 0 2.29 0.122 0.037744
Old Main 244 632H 73.46 0.22 1162 22 1 8 15 2 890 Passive Crossing 0.0006938 60.96 1.94 1.18 1.00 1 1.00 0.0970 1 5 0.2 6.80 0.141 0.071540
NOTES: Crossing Characteristic Factor Equations: General Accident Prediction Formula:
Items in Red vary from what is currently entered in the FRA Crossing Inventory. Eqn. 1: Eqn. 3 Eqn. 5
They have been updated to reflect the most recent and/or most accurate data. Passive ((c x t + 0.2)/0.2)^0.37 Passive: e^0.0077ms Passive: e^-0.5966(hp-1) B = To * (a) + T
Flashing Lights ((c x t + 0.2)/0.2)^0.4106
Flashing
Lights 1.0
Flashing
Lights 1.0 To + T To + T
Gates ((c x t + 0.2)/0.2)^0.2942 Gates: 1.0 Gates: 1.0 where:
Closed c = no. hwy vehicles per day ms = max. timetable speed hp = hwy paved? Yes=1; No=2 A = final where accident prediction, accidents
t = no. trains per day ** A = 0.4846 * B for Gates
** A = 0.3106 * B for Flashing Ligh
Eqn. 2: Eqn. 4: Eqn. 6: ** A = 0.5086 * B for Passive Cros
Passive: ((d + 0.2)/0.2)^0.178 Passive: 1.0 Passive: 1.0 a =
Flashing Lights ((d + 0.2)/0.2)^0.1131
Flashing
Lights e^0.1917mt
Flashing
Lights e^0.1826(h1-1) N / T = accidents per year; N=number of observe
Gates: ((d + 0.2)/0.2)^0.1781 Gates: e^0.1512mt Gates e^0.1420(h1-1) To = formular weighting factor = 1.0 / (0.05 + a)
d = no. thru trains during daylight mt = no. main tracks h1 = no. hwy lanes
Eqn. 7:
a = K x EI x DT x MS x MT x HP x HL **FRA's Rail-Highway Crossing Accident/Incident and I
adjustments to normalizing constants for passive cross
gates (in formula for A) and are reflected in this calcula
reflects adjustments dated 2013.
Input Data Crossing Characterization Factor General Accident Prediction Formula
Initial unnormalized accident prediction fro
MPH and Crash Risk
with Gates)
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0030 0.0090 10738 17243 27982 46,674
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0026 0.0078 9277 14897 24174 40,322
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0023 0.0068 8098 13003 21101 35,197
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0027 0.0083 9858 15829 25687 42,846
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0023 0.0068 8112 13026 21139 35,260
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0040 0.0122 14455 23211 37667 62,828
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0020 0.0061 7249 11640 18888 31,506
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0041 0.0124 14701 23606 38307 63,896
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0034 0.0102 12114 19451 31565 52,650
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0030 0.0092 10878 17467 28345 47,280
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0032 0.0096 11402 18309 29711 49,558
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0071 0.0215 25558 41039 66597 111,083
440.9 0.021 0.785 1.00 1.429 0.0895 4.481 0.263 1.122 1.344 0.3598 0.0036 0.0110 13021 20908 33928 56,592
0.0030 0.0089 27688 46,183
Probability of a Fatal Accident given an accident occurs: Risk Index with Horns
P(FA|A) = 1 / (1 + KF * MS * TT * TS * UR)
* (N / T) P(FA|A) = probability of a fatal accident, given an accident FA * Avg. No.of fatalities in fatal collisions * $3 million*1.1966
KF = formula constant (440.9)
MS = factor for maximum timetable speed = ms^-0.9981, ms=max timetable speed IA * Avg. No. of injuries in injury collisions * $1.167 million*1.6356
per year per crossing TT = factor for thru trains per day = (tt + 1)^-0.0872, tt=thru trains per day
TS = factor for switch trains per day = (ts + 1)^0.0872, ts=switch trains per day
hts UR = factor for urban or rural crossing = e^0.357ur , ur: urban=1.0; rural=0.0
ssings Quiet Zone Risk Index
om basic formula RIWH*1.668
d accidents in T years Probability of a Casualty Accident given an accident occurs:
) P(CA|A) = 1 / (1 + KC * MS * TK * UR) see here: http://www.fra.dot.gov/eLib/details/L02685
P(CA|A) = probability of a casualty accident, given an accident
KC = formula constant (4.481)
MS = factor for maximum timetable speed ms^-0.343, ms=max timetable speed
TK = factor for number of tracks e^0.1153tk, tk=total number of tracks
UR = factor for urban or rural crossing e^0.296ur, ur: urban=1.0; rural=0.0
Predicted Fatal Accidents:
FA = A * P(FA|A)
Predicted Injury Accidents:
IA = A * P(CA|A)-FA
Probability of Fatal Accident Probability of Casualty Accident Risk Index Calculations
Inventory Bulletin was checked for
sings, flashing light crossings and
ation. Most current Bulletin found
Factor,
To
Accident
Prediction,
B
Final Accident
Prediction,
A
College 244 643V 74.63 0.11 581 49 1 8 15 4 20,800 Gates 0.0005745 66.38 1.94 1.00 1.16 1 1.53 0.1316 0 5 0 5.51 0.069 0.033422
Cherry 244 642N 74.52 0.1 528 49 1 8 15 4 10,000 Gates 0.0005745 53.51 1.94 1.00 1.16 1 1.53 0.1061 0 5 0 6.41 0.060 0.028874
Maple 244 641G 74.42 0.12 634 49 1 8 15 4 3,100 Flashing Lights 0.0003351 159.75 1.52 1.00 1.21 1 1.73 0.1707 0 5 0 4.53 0.081 0.025204
Laporte 244 640A 74.30 0.14 739 49 1 8 15 4 7,400 Flashing Lights 0.0003351 228.35 1.52 1.00 1.21 1 1.73 0.2440 0 5 0 3.40 0.099 0.030681
Mountain 244 639F 74.16 0.1 528 49 1 8 15 2 7,600 Flashing Lights 0.0003351 230.87 1.52 1.00 1.21 1 1.20 0.1712 0 5 0 4.52 0.081 0.025249
Oak 244 638Y 74.06 0.09 475 49 1 8 15 2 3,500 Passive Crossing 0.0006938 101.18 1.94 1.46 1.00 1 1.00 0.1983 0 5 0 4.03 0.088 0.044990
Olive 244 637S 73.97 0.1 528 49 1 8 15 4 2,000 Flashing Lights 0.0003351 133.45 1.52 1.00 1.21 1 1.73 0.1426 0 5 0 5.19 0.073 0.022561
Magnolia 244 636K 73.87 0.09 475 49 1 8 15 4 3,800 Passive Crossing 0.0006938 104.30 1.94 1.46 1.00 1 1.00 0.2044 0 5 0 3.93 0.090 0.045755
Mulberry 244 635D 73.78 0.1 528 49 1 8 15 5 14,500 Flashing Lights 0.0003351 300.99 1.52 1.00 1.21 1 2.08 0.3860 0 5 0 2.29 0.121 0.037702
Myrtle 244 634W 73.68 0.14 739 49 1 8 15 3 1,000 Passive Crossing 0.0006938 63.65 1.94 1.46 1.00 1 1.00 0.1247 0 5 0 5.72 0.067 0.033856
Laurel 244 633P 73.54 0.08 422 49 1 8 15 4 15,800 Flashing Lights 0.0003351 311.79 1.52 1.00 1.21 1 1.73 0.3331 0 5 0 2.61 0.114 0.035488
Old Main 244 632H 73.46 0.22 1162 49 1 8 15 2 890 Passive Crossing 0.0006938 60.96 1.94 1.46 1.00 1 1.00 0.1195 1 5 0.2 5.90 0.156 0.079545
University 244 629A 73.24 0 49 1 8 15 2 2,150 Passive Crossing 0.0006938 84.48 1.94 1.46 1.00 1 1.00 0.1656 0 5 0 4.64 0.080 0.040525
0.0331
Crossing Characteristic Factor Equations: General Accident Prediction Formula:
Eqn. 1: Eqn. 3 Eqn. 5
Passive ((c x t + 0.2)/0.2)^0.37 Passive: e^0.0077ms Passive: e^-0.5966(hp-1) B = To * (a) + T
Flashing Lights ((c x t + 0.2)/0.2)^0.4106
Flashing
Lights 1.0
Flashing
Lights 1.0 To + T To + T
Gates ((c x t + 0.2)/0.2)^0.2942 Gates: 1.0 Gates: 1.0 where:
Closed c = no. hwy vehicles per day ms = max. timetable speed hp = hwy paved? Yes=1; No=2 A = final where accident prediction, accidents
t = no. trains per day ** A = 0.4846 * B for Gates
** A = 0.3106 * B for Flashing Ligh
Eqn. 2: Eqn. 4: Eqn. 6: ** A = 0.5086 * B for Passive Cros
Passive: ((d + 0.2)/0.2)^0.178 Passive: 1.0 Passive: 1.0 a = Initial unnormalized accident prediction fro
Flashing Lights ((d + 0.2)/0.2)^0.1131
Flashing
Lights e^0.1917mt
Flashing
Lights e^0.1826(h1-1) N / T = accidents per year; N=number of observe
Gates: ((d + 0.2)/0.2)^0.1781 Gates: e^0.1512mt Gates e^0.1420(h1-1) To = formular weighting factor = 1.0 / (0.05 + a)
d = no. thru trains during daylight mt = no. main tracks h1 = no. hwy lanes
Eqn. 7:
a = K x EI x DT x MS x MT x HP x HL
Input Data
**FRA's Rail-Highway Crossing Accident/Incident and I
adjustments to normalizing constants for passive cross
gates (in formula for A) and are reflected in this calcula
reflects adjustments dated 2013.
Crossing Characterization Factor General Accident Prediction Formula
Cum. %
Speed
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
13 18 23 28 33 38 43
Cum. %
Speed
Cum. %
Speed
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
100.0
13 18 23 28 33 38 43
Cum. %
Speed
Cum. %
Speed