In a recent article, I reviewed the operation of the 41 Keele bus and compared its behaviour in April 2018 with the service in September 2019 running an “improved” schedule. The results were not exactly impressive and the route continued to have quite irregular service, particularly when one looks at the middle of the route rather than at the terminals where the TTC actually measures it.

For the September 2019 analysis, my ability to plot service behaviour at and near terminals was limited by the nature of the data provided by the new Vision tracking system. The data were stop based, rather than a continuous stream showing vehicle movements along the route. (The contrast to the old monitoring system, CIS, was explored in a separate detailed article.) The TTC is now providing Vision data in continuous location format, and this greatly improves the resolution of vehicle locations for the October 2019 analysis.

The data may be better, but I cannot say the same for the quality of service. Although the TTC implemented longer scheduled travel and recovery times (make up time at terminals to compensate for variations in congestion enroute) in September, the reliability of service continues to be poor compounding the longer scheduled waits between buses.

Service reliability improvements – the program for continuous monitoring and improvement to schedules to better match observed operating conditions …

This is a buzz phrase seen routinely through 2019 in service change announcements, but it almost inevitably means stretching the existing buses on a route over a longer round trip time while making headways (the time between buses) longer to compensate rather than adding more vehicles to a route. In some cases, there were routes that simply did not have enough time in their schedule for actual conditions, but this tactic has become a “magic bullet” that is supposed to fix service quality.

But that bullet is made of tin, not silver.

Through all of the charts in this article, it is important to remember that the TTC’s Service Standard, measured at terminals, is that all service should be within a six-minute window of “on time” to the schedule. However, the typical pattern is for over 50% of all trips to show headways ranging well over 6 minutes. The target level of service reliability simply cannot be met. This is with the new, “improved” schedules.

The missing piece in TTC service is the recognition that left to their own devices, vehicles (and their drivers) will not run on time or on a reliable headway. The situation is made even worse by a policy of limiting short turns while doing little or nothing to break up bunches of vehicles. TTC management pats itself on the back because the quality metrics it reports every month look good, but they mask service that can be appallingly bad.

This is not exactly a new situation at the TTC. I remember nearly 40 years ago when the then head of Planning was reported to be shopping around for awards the TTC could win, the better to buff the image of management. This was the same person who introduced “tuning service to meet demand”, a phrase that sounds good to the bean counters, but actually means packing as many riders on buses and running as little service as possible. Managing the service was not part of the program.

A major problem with TTC statistics is that they are reported on an average basis consolidating data from several days and times of the day. This masks behaviour at the fine-grained level riders experience. They do not wait for the “average” bus, but for the next one that shows up. Telling them that on average they have acceptable service is cold comfort waiting in a gap of over 20 minutes for two buses to appear. That might be “every 10 minutes” on average, but that is not what they see. The same is true of vehicle loading with uneven headways leading to uneven crowds, and the bus that arrives in a gap is often full, assuming one can even get on.

The first request of a deputation from Keele bus riders at the September TTC Board meeting was that 41 Keele be made part of the “ten minute network”. This might improve service slightly, but if the buses on the route are not much better managed, that “ten minute” headway will include many much wider gaps and pairs of buses running together.

Chart Formats

Charts in this section appear in formats that will be familiar to readers of previous articles. For those who are not, a quick introduction. This should be read in conjunction with one of the MonthHeadways pdfs linked below.

• Pages 1-5 show the headway data for weekdays broken down by weeks of the month. Each dot is one bus, and the colours are keyed to days of the week. The trend lines thread among the dates showing the overall drift of values through the day, but not the moment by moment changes. Where these lines lie on top of each other, this shows that even though individual data points may vary, the overall character is the same for each day. Note that even when the data points are widely scattered, the trend line can be fairly flat among them when the hour-bby-hour character of the data does not change.
• Pages 6-7 are in the same format, but show Saturdays and Sundays/Holidays each as a group.
• Page 8 shows the average and standard deviation (SD) values for weekday data for the entire month. If the SD value is small, the values are closely clustered around the average and headways are fairly reliable. If the SD is large, then there is a lot of scatter in the data and service is unreliably spaced.
• Page 9 shows the average and SD values for weekdays, subdivided by week. If the SD values do not follow the same pattern for each week, this flags a situation where a short-lived problem disrupted service, as opposed to a condition that is present every week, but could be unpredictable in its effect.
• Page 10 shows the weekly data in quartiles with the centre two blocks giving the 2nd and 3rd quartiles (the middle 50% of all service) and the two tails showing the outer quartiles. Ideally, the central block should be small with most service concentrated at a common headway close to the scheduled value, and the tails should also be short indicating that even the 1st (lowest) and 4th (highest) quartile do not range widely. When the 1st quartile ranges down to the x-axis, this means that there is bunching with short headways. When the 4th quartile ranges upward, this indicates gaps in service.
• Remaining pages give weekly and weekend breakdowns.

Note that although the charts use 30 as the maximum plotted values, some data points may lie above this level and pull a trend line away from the points that are visible.

Headways at Keele Station

The screenline for these measurements is on Keele Street just north of the station. This avoids mistaking movements within the station for actual arrivals and departures.

Note that headways are wider in the peak periods than in the off-peak because there is a separate 941 Keele Express during the peak. This reduces the combined headway, although the express vehicles are of no use to riders who board or alight at local stops. Express service reliability is reviewed later in the article.

Although headways leaving Keele Station are fairly well-behaved in the morning, by afternoon and especially the peak period they are spread over a wide range of values. Some days are worse than others (there are detailed reviews of a few sample days later in the article). Weeks 2 and 4 are shown below, and they are quite different in character.

During the afternoon peak, the standard deviation for weekdays rises to about 8 minutes indicating that there is a wide variation in headway values. This is visible in the data plots for individual days. Indeed, it is only the relatively low SD values in week 2 that pull the overall number down and some weeks hit SDs of over 10 minutes on an average headway of 15 minutes. This is not “improved” service by any measure.

The overall average masks the difference between individual weeks. In the chart below, the jump in SD in the PM peak is absent for week 2 (the week before Thanksgiving) reflecting the lower degree of scatter seen in the week 2 chart above.

The problem can be seen in another way in the box-and-whisker quartile charts where the central blocks are much wider for the PM peak hours than at other times.

Finally, on weekends when one might expect better service, things really are a mess with worse bunching (headways close to zero) than in the weekday service shown above. Note that “improved” schedules were only implemented on weekdays, and weekend service operates with the schedules implemented in December 2017.

For subsequent locations, I will include fewer inline charts and leave exploration of the details to interested readers. Full chart sets are linked below.

Headways at Lawrence Northbound

The screenline is located north of Lawrence Avenue and measures headways departing from that location.

A major problem, explored in more detail later in the article, is that even when service leaves the terminal at a fairly reasonable spacing, it does not take long for the bunching to get tighter and the gaps to get wider. The charts for Lawrence northbound show a considerably worse spread of headway values than the charts for Keele Station. This is particularly visible on the box-and-whisker charts where the central quartiles spread over a wider range in the morning than in the Keele Station data.

In Week 2, which was the comparatively “good” week leaving Keele Station, headways are spead over a much wider range at Lawrence during the entire day, not just from the late afternoon onward.

In the box-and-whisker diagrams, week 4 still has worse spread in the central quartiles (note especially the 18:00 hour), but the spreads in week 2 in the morning and midday are not as narrow as at Keele Station.

On weekends, headways are quite unpredictable with very wide ranges of values through much of the day. Even though all buses run local on weekends, actual headways have a wide range of values and many are quite short showing bunching.

Headways at Pioneer Village Station Southbound

The screenline is southeast of the station on Ian Macdonald Boulevard east of the NW Gate road. This avoids confusion of movements around the station with arrivals and departures.

Headways leaving Pioneer Village Station show a similar pattern to the one seen northbound from Keele Station. One difference here is that thanks to short turns at Finch West Station on bad days, the gaps at the north end of the route can be wider than those at the south end. This also affects the average headway values which can be wider at Pioneer Village than they are at Keele Station.

As with northbound service from Keele Station, Week 2 has lower SD values than the rest of the month, but overall the SD values are quite high during the PM peak and evening. This is reflected in the box-and-whisker charts showing the range of headways riders could encounter.

Headways at Lawrence Southbound

The screenline is north of Lawrence Avenue and measures headways arriving at that location.

As with the northbound service, any reliability that might have existed in headways southbound from Pioneer Village is lost by the time the service reaches Lawrence West.

Full chart sets in PDF format:

• 41_201910_NB_NofKeeleStn_MonthHeadways
• 41_201910_NB_NofLawrence_MonthHeadways
• 41_201910_SB_SEofPioneerVillageStn_MonthHeadways
• 41_201910_SB_NofLawrence_MonthHeadways

Travel Times Between Keele and Pioneer Village Stations

The travel times measured here are from the screenlines just outside each of the termini of 41 Keele. This means that the actual times will be slightly longer, but only by the time required to exit and enter stations on each trip. Dwell times at termini are captured in the next set of charts.

Unlike headways, the running times are much better behaved, at least on a relative basis. Here are the data for the ill-behaved week 4 whose headways above were badly scattered. The travel times northbound follow a regular pattern although they range in a band 10-15 minutes wide. Some days, in this case Thursday and Friday, have notably longer PM peak times.

Looking at the month week-by-week, the average travel times fall close together except for the height of the PM peak when weeks 1 and 5 are slightly worse. There is always going to be day-by-day and week-by-week variation in travel time, and the schedule must allow for enough of this variation to be workable on the “bad” days.

Looked as a box-and-whisker plot, the degree of variation in travel times is quite evident. The middle two quartiles fall within a 10 minute band most of the time, but both longer and shorter trips do occur among the outer two quartiles.

The same data, with a small change, are plotted below as a set of lines, and one value has been added: the 95th percentile. This chart shows the bounds of the quartiles up to 3 (50-75th percentile), but the top line is the 95% percentile, not the maximum as in the chart above.

For schedule design purposes, the TTC is now using the 95th percentile value (red) to determine running times. However, this leaves a wide band below it of trips, even at the average value (green) which will take considerably less time than a 95th percentile schedule would allow. The situation is similar on weekends and in the southbound direction.

(See full chart PDFs for these plots which are on pp 20-22 of each set.)

• 41_201910_NB_NofKeeleStn_SEofPioneerVillageStn_MonthLinks
• 41_201910_SB_SEofPioneerVillageStn_NofKeeleStn_MonthLinks

Time Spent At Terminals

The times measured here are for the round trip from the screenline outside each terminal, through the terminal including layover time, and back out to the screenline. It is a reasonable assumption that the shortest times given on these charts are for situations where the layover/loading time in the terminal was minimal.

At Pioneer Village Station there is a considerable variation in the time buses spend in the terminal. This is the “flip side” of the variation in travel times seen above. Buses that reach the terminal much sooner than scheduled will have long layovers.

Here are the data for weekdays. The minimum value is 3-4 minutes during the daytime, but values range well above this. Even allowing for access time, some buses have layovers greater than 20 minutes.

Saturdays and Sundays are similar to weekdays, and Saturdays include some very long layovers.

Layovers at the south end of the line show a similar pattern.

• 41_201910_NofKeeleStn_TerminalMonthLinks
• 41_201910_SEofPioneerVillageStn_TerminalMonthLinks

Round Trip Times

The chart below combines the travel time between the termini (“driving time”) and the time spent at terminals (access and layover time) to show the total round trip time averages compared to the scheduled value. Notes:

• The “scheduled” line is based on the five periods of weekdays used in the TTC’s schedule summaries, and the transitions may be less abrupt than shown here.
• The “recovery” values include access time to and from the terminals which, based on the minimum terminal times, is about four minutes at each end of the line.

These are average values, and lot is hidden by averages including the swings down to the minimum or up to the maximum, not to mention the variation either side of the average.

The question, quite frankly, is just how much recovery time should be built into schedules, but the 95th percentile design effectively guarantees most buses will get to the terminal with time to spare. This is usually achieved by providing less frequent service to riders, and the result could be counterproductive. Fewer short turns for the worst case trips, but longer waits for everyone, especially when service is bunched as we will see in the detailed reviews to follow.

The linked PDF contains the the weekday and weekend data for this chart.

• 41_201910_RoundTripTimes

Samples of Individual Days’ Operations

Chart Format

For readers new to these charts, a few introductory notes.

• The “Chart” files contain eight pages each of which covers three hours’ operation beginning at 4 am.
  • The geography of the route is laid out bottom (south) to top (north) and the diagonal lines show the movement of buses in time back and forth between the termini.
  • The slope of a line indicates the vehicle speed with the more horizontal lines indicating a slower travel speed. A horizontal line represents a stopped bus, typically at termini, but also at stops along the route.
• The “Headways” files contain eleven pages corresponding to screenlines along the route where headways are measured. The locations are of my chosing to give a representation of service at various points along the route.
  • Stepping from page to page of these files shows how the service leaving a terminal evolves as buses move along the route.
  • Ideally, headway values should be almost the same for each schedule period, but they often are not with a high value (a gap) immediately followed by a low one (a bunch). As buses move along the route the peaks get higher and the valleys deeper showing that there is no attempt to restore evenly spaced service.

Wednesday, October 2, 2019

October 2, 2019, is an example of a “good day” on the 41 Keele route. Most trips run from one end of the line to the other without undue delay except for an AM peak slowdown northbound south of Wilson Avenue.

There is also some slow operation approaching Eglinton both ways in the PM peak.

Where buses catch up to each other, they run to the terminal, but then leave spaced apart. There are several examples of this through the day including in the two sample pages above.

Although one might complain about a pair leaving a terminal and travelling over the route together, at least this was generally sorted out on the return trip. All the same, there are enough cases of buses travelling close together that the headway charts show how riders are affected even under good conditions.

The first page of the northbound headway charts shows service leaving Keele Station. For much of the day, the headway values stay in a narrow band with occasional examples of a long, then a short headway. No buses actually leave together, and the minimum is about three minutes.

By the time the service reaches Lawrence, however, there is a much greater variation in the headways with the gaps getting longer, and the space between buses shorter, although they are not yet running nose-to-tail.

By Finch, the swing in headways is even wider, and some buses are effectively running as “second sections”, not as independent trips. This is a typical behaviour on all routes, and there is little attempt to manage headways, at least the worst of them, to correct these problems. Some of the variation in travel times is a direct result of this type of operation where buses avoid serving many passengers and thereby save on dwell time at stops. That saving translates to a long layover at the terminal.

The situation southbound is identical with mostly well-spaced service leaving Pioneer Village Station, but this quickly turns into the same pattern of wide gaps and bunching seen northbound.

• 41_20191002_Chart
• 41_20191002_Headways_NB
• 41_20191002_Headways_SB

Tuesday, October 22, 2019

October 22 was not a “good day”. It began well enough through the AM peak, but by midday, buses began running together.

The situation was not helped by a bus that appears to have gone out of service at Grandravine around 15:40, then headed up to Finch West Station, then back to Wilson, vanished briefly only to reappear northbound at Eglinton. Combined with bunching, this left some wide gaps in service for anyone depending on the 41 Keele local service.

The situation continues into the early evening with some buses still not properly spaced …

… and the problem continues into the late night service. It is worth noting that some of the tailgating involves the same buses over an extended period.

The headway charts for October 22 are not a testimonial to good transit service. Until about 3 pm, service leaving Keele Station is well behaved, but then things fall apart and never recover for the rest of the evening. The pattern on 41 Keele for many days is that service is fairly well spaced until about 3 pm, and this suggests the effect of route supervision that goes home just as the PM peak begins.

As on October 2, even the well-space service leaving Keele Station is ragged by the time it reaches Lawrence, and after 3 pm, things are really atrocious with half hour gaps.

The situation leaving Pioneer Village Station is similar, although the headways before 3 pm are not as reliable as they were northbound.

The service at Lawrence is very poor from noon on with vehicles running in pairs separated by long gaps.

• 41_20191022_Chart
• 41_20191022_Headways_NB
• 41_20191022_Headways_SB

Saturday, October 5, 2019

One might think that service on a weekend – when 41 Keele is not split into local and express service, and the route runs with standard sized buses on a shorter scheduled headway than weekdays – would be an improvement. Alas, that is not the case. October 5 shows a line where reliable service simply does not exist with bunching and gapping all day. This is not a case of buses catching up to each other, although that does happen too, but of leaving terminals together. In some cases, the same buses do this for more than one trip.

For an extra distraction, one bus spends its time shuttling back and forth from Pioneer Village to Finch West Station.

The headways from the terminals are worse than for weekday service with bunches of two and three vehicles leaving northbound from Keele Station (a long headway immediately followed by a pair of short ones), and the situation at Pioneer Village is only slightly better. These headways completely violate TTC Service Standards, and there is no excuse for service to run so raggedly all day long.

At Lawrence, wide gaps are commonplace in both directions.

• 41_20191005_Chart
• 41_20191005_Headways_NB
• 41_20191005_Headways_SB

Sunday, October 13, 2019

Sundays fare no better with buses running back and forth on the route in pairs, wildly erratic headways from both terminals. and several short turns at Finch West Station.

• 41_20191013_Chart
• 41_20191013_Headways_NB
• 41_20191013_Headways_SB

941 Keele Express Service

The express service on Keele, part of a rebranding that was more about marketing than actually adding service, consistently provides unreliable service with headways ranging over the 0-30 minute span at both terminals. Clearly, these buses are running more or less when they feel like it with little attempt to provide regular service.

In the charts for the 941 Express, I have omitted trend lines because there is so much scatter of so few data points and a “trend” is meaningless.

• 941_201910_NB_NofKeeleStn_MonthHeadways
• 941_201910_SB_NofFinch_MonthHeadways

Headways on the 941 Keele Express are so erratic that any time saving an express trip might provide can be more than offset by an unexpectedly long wait for an express bus to show up. They are spread over a wide range of values, especially southbound from Finch West Station in the PM peak.

The following charts show the scatter of headway values from Keele and Finch West Stations in Week 4.

The two charts below show the quartiles for data for the entire month.

Travel times between Keele and Finch West Stations are shorter for the Express service, but that full saving only applies to someone travelling the entire distance. A trip between points along the route will save less time, and the benefit could be lost through a long wait for a bus to appear.

Express services advertised as an improvement on what went before should not have half hour gaps and buses running in pairs.

Service charts for three days are included below. Items worth noting include:

• October 2 and 22 were the “good” and “bad” days shown above for 41 Keele.
• October 25 was added here because it shows considerably more congestion delay in the PM peak than other days.
• Terminal layovers/recovery for buses on all days is generally good, and so departure times should be regularly spaced.

The charts show clearly that the express buses get long layovers at the terminals, and unevenness in departure times is not caused by buses arriving late thanks to traffic congestion. A major problem with excessive running time is that it can encourage late departures because it is always possible to make up time during a trip.

• 941_20191002_Chart
• 941_20191022_Chart
• 941_20191025_Chart

Travel Time Comparisons Between 41 Keele and 941 Keele Express

The local service takes about 10 minutes more for the run from Keele Station to Finch West Station, less so in the AM counterpeak direction, northbound.

Northbound

Southbound

Full chart sets:

• 41_201910_NB_NofKeeleStn_NofFinch_MonthLinks
• 41_201910_SB_NofFinch_NofKeeleStn_MonthLinks