# The Invention of Bad Railroad Timetables

The rail advocate Shaul Picker has uploaded a fascinating potpourri of studies regarding commuter rail operations. Among them, two deserve highlight, because they cover the invention of bad timetable practices in New York, and, unfortunately, not only think those practices are good, but also view their goodness as self-evident. They are both by Donald Eisele, who was working for the New York Central and implemented this system on the lines that are now Metro-North, first introducing the concept to the literature in 1968, and then in 1978 asserting, on flimsy evidence, that it worked. Having implemented it in 1964 based on a similar implementation a few years earlier in the Bay Area, Eisele must be viewed as one of the people most responsible for the poor quality of American mainline service, and his idea of zone theory or zonal operations must be discarded in favor of the S-Bahn takt.

Zone theory

Eisele’s starting point is that commuter rail service should be exclusively about connecting the suburbs with city center. He contrasts his approach with urban transit, which is about service from everywhere to everywhere; trips short of Manhattan were 20% of single-trip ticket revenue for New York Central suburban operations and 5% of multi-ride pass revenue, and the railroad wanted to eliminate this traffic and focus on suburb-to-city commuters. From this inauspicious starting point, he implemented a timetable in which suburban stations are grouped into zones of a few contiguous stations each, typically 2-4 stations. At rush hour, a train only stops within one zone, and then expresses to city center, which in the original case means Grand Central.

The idea behind zone theory is that, since all that matters is a rapid connection to city center, trains should make as few stops as possible. Instead of trying to run frequently, it’s sufficient to run every 20 or 30 minutes, and then once a train fills with seats it should run express. This is accompanied by a view that longer-haul commuters are more important because they pay higher fares, and therefore their trips should not be slowed by the addition of stops closer in.

It’s important to note that what zone theory replaced was not an S-Bahn-style schedule in which all trains make all stops, and if there’s more demand in the inner area than the outer area then some trains should short-turn at a major station in the middle. American railroads had accumulated a cruft of timetables; Eisele goes over how haphazard the traditional schedules were, with short but irregular rush-hour intervals as some trains skipped some stations, never in any systematic way.

The first paper goes over various implementation details. For example, ideally a major station should be the innermost station within its zone, to guarantee passengers there a nonstop trip to city center. Moreover, considerable attention goes to fare collection: fares are realigned away from a purely distance-based system to one in which all stations in a zone have the same fare to city center, simplifying the conductors’ job. The followup paper speaks of the success of this realignment in reducing fare collection mistakes.

The failure of zone theory

We can see today that zone theory is a complete failure. Trains do not meaningfully serve anyone except 9-to-5 suburban commuters to the city, a class that is steadily shrinking due to job sprawl and a change in middle-class working hours. Ridership is horrendous: all three New York commuter railroads combined have less ridership than the Munich S-Bahn, a single-trunk, seven-branch system in a metropolitan area of 3 million. Metro-North would brag about having an 80% market share among rush hour commuters from its suburban shed to Manhattan, but that only amounts to about 90 million annual riders. In contrast, the modal split of rail at major suburban job centers, even ones that are adjacent to the train station like White Plains and Stamford, is single-digit percent – and Metro-North is the least bad of New York’s three railroads in this category.

Even on the original idea of providing fast service from the suburbs to city center, zone theory is a failure. The timetables are not robust to small disturbances, and once the line gets busy enough, the schedules have to be padded considerably. I do not have precise present-day speed zones for Metro-North, but I do have them for the LIRR courtesy of Patrick O’Hara, and LIRR Main Line service is padded 30% over the technical travel time of present-day equipment on present-day tracks. A textbook I have recently read about scheduling best practices cites a range of different padding factors, all single-digit percent; Switzerland uses 7%, on a complex, interlined network where reliability matters above all other concerns. With 30% padding, the LIRR’s nonstop trains between Ronkonkoma and Penn Station, a distance of 80 km, take about as long as local trains would with 7% padding.

Eisele is right in the papers when he complains about the institutional inertia leading to haphazard schedules. But his solution was destructive, especially in contrast with contemporary advances in scheduling in Europe, which implemented the all-day clockface schedule, starting with Spoorslag ’70 and then the Munich S-Bahn takt in 1972.

Zone theory and reliability

The first paper claims as self-evident that zonal timetables are reliable. The argument offered is that if there is a short delay, it only affects trains within that zone, and thus only affects the stations within the zone and does not propagate further. There is no attempt at modeling this, just claims based on common sense – and transport is a field where intuition often fails and scientific analysis is required.

The problem is that zone theory does not actually make trains in different zones independent of one another. The second paper has a sample timetable on PDF-p. 4 for the evening rush hour, and this can also be reversed for the morning. In the morning, trains from outer zones arrive in city center just after trains from inner zones; in the afternoon, trains serving outer zone stations depart city center first, always with a gap of just a few minutes between successive trains. In the morning, a delay in a suburban zone means that the trains in the zones behind it are delayed as well, because otherwise they would clash and arrive city center at literally the same minute, which is impossible.

This isn’t purely an artifact of short headways between running trains. Subway systems routinely have to deal with this issue. The key is that on a subway system, trains do not have much of their own identity; if a train is delayed, the next train can perfectly substitute for it, and cascading delays just mean that trains run slightly slower and (because the equipment pool is fixed) are slightly more crowded. The principle that individual suburban stations should only be served every 20-30 minutes means no such substitution is possible. S-Bahn trains are not as interchangeable as subway trains, which is why they cannot run as frequently, but they still manage to run every 2-3 minutes with 7% padding, even if they can’t reach the limit values of a train very roughly 1.5 minutes achieved by some big city subways.

Eisele did not think this through and therefore made an assertion based on intuition that failed: reliability did not improve, and with long-term deterioration of speed and lack of reduction in operating expenses, the express timetables at this point are slower than an all-stops S-Bahn would be.

# Consultants and Railroaders Turn New Haven Line Investment Into Shelf Art

The state of Connecticut announced that a new report concerning investment in the New Haven Line is out. The report is damning to most involved, chief of all the Connecticut Department of Transportation for having such poor maintenance practices and high construction costs, and secondarily consultant AECOM for not finding more efficient construction methods and operating patterns, even though many readily exist in Europe.

What started out as an ambitious 30-30-30 proposal to reduce the New York-New Haven trip time to an hour, which is feasible without construction outside the right-of-way, turned into an $8-10 billion proposal to reduce trip times from today’s 2 hours by 25 minutes by 2035. This is shelf art: the costs are high enough and the benefits low enough that it’s unlikely the report will lead to any actionable improvement, and will thus adorn the shelves of CTDOT, AECOM, and the governor’s office. It goes without saying that people should be losing their jobs over this, especially CTDOT managers, who have a track record of ignorance and incuriosity. Instead of a consultant-driven process with few in-house planners, who aren’t even good at their jobs, CTDOT should staff up in-house, hiring people with a track record of success, which does not exist in the United States and thus requires reaching out to European, Japanese, and Korean agencies. Maintenance costs and the state of good repair racket I have a video I uploaded just before the report came out, explaining why the state of good repair (SOGR) concept has, since the late 1990s, been a racket permitting agencies to spend vast sums of money with nothing to show for it. The report inadvertently confirms this. The New Haven Line is four-track, but since the late 1990s it has never had all four tracks in service at the same time, as maintenance is done during the daytime with flagging rules slowing down the trains. Despite decades of work, the backlog does not shrink, and the slow zones are never removed, only replaced (see PDF-p. 7 of the report). The report in fact states (PDF-p. 8), To accommodate regular maintenance as well as state-of-good-repair and normal replacement improvements, much of the four-track NHL typically operates with only three tracks. Moreover, on PDF-p. 26, the overall renewal costs are stated as$700-900 million a year in the 2017-21 period. This includes rolling stock replacement, but the share of that is small, as it only includes 66 new M8 cars, a less than second-order item. It also includes track upgrades for CTRail, a program to run trains up to Hartford and Springfield, but those tracks preexist and renewal costs there are not too high. In effect, CTDOT is spending around $700 million annually on a system that, within the state, includes 385 single-track-km for Metro-North service and another 288 single-track-km on lines owned by Amtrak. This is an insane renewal cost. In Germany, the Hanover-Würzburg NBS cost 640 million euros to do 30-year track renewal on, over a segment of 532 single-track-km – and the line is overall about 30% in tunnel. This includes new rails, concrete ties, and switches. The entire work is a 4-year project done in a few tranches of a few months each to limit the slowdowns, which are around 40 minutes, punctuated by periods of full service. In other words, CTDOT is likely spending more annually per track-km on a never-ending renewal program than DB is on a one-time program to be done once per generation. A competent CTDOT would self-abnegate and become German (or Japanese, Spanish, French, Italian, etc.). It could for a few hundred million dollars renew the entirety of the New Haven Line and its branches, with track geometry machines setting the tracks to be fully superelevated and setting the ballast grade so as to improve drainage. With turnout replacement, all speed limits not coming from right-of-way geometry could be lifted, with the possible exception of some light limits on the movable bridges. With a rebuild of the Grand Central ladder tracks and turnouts for perhaps$250,000 per switch (see e.g. Neustadt switches), trains could do New York-New Haven in about 1:03 making Amtrak stops and 1:27 making all present-day local stops from Stamford east.

Infrastructure-schedule integration

The incompetence of CTDOT and its consultants is not limited to capital planning. Operations are lacking as well. The best industry practice, coming from Switzerland, is to integrate the timetable with infrastructure and rolling stock planning. This is not done in this case.

On the contrary: the report recommends buying expensive dual-mode diesel locomotives for through-service from the unelectrified branches instead of electrifying them, which could be done for maybe $150 million (the Danbury Branch was once electrified and still has masts, but no wires). The lifecycle costs of electric trains are half those of diesel trains, and this is especially important when there is a long electrified trunk line with branches coming out of it. Dual-mode locomotives are a pantomime of low electrification operating costs, since they have high acquisition costs and poor performance even in electric mode as they are not multiple-units. Without electrification, the best long-term recommendation is to shut down service on these two branches, in light of high maintenance and operating costs. The choice of coaches is equally bad. The report looks at bilevels, which are a bad idea in general, but then adds to the badness by proposing expensive catenary modifications (PDF-p. 35). In fact, bilevel European trains exist that clear the lowest bridge, such as the KISS, and those are legal on American tracks now, even if Metro-North is unaware. The schedule pattern is erratic as well. Penn Station Access will soon permit service to both Grand Central and Penn Station. And yet, there is no attempt to have a clean schedule to both. There is no thought given to timed transfers at New Rochelle, connecting local and express trains going east with trains to Grand Central and Penn Station going west, in whichever cross-platform pattern is preferred. The express patterns proposed are especially bad. The proposal for through-running to Philadelphia and Harrisburg (“NYX”) is neat, but it’s so poorly integrated with everything else it might as well not exist. Schedules are quoted in trains per day, for the NYX option and the GCX one to Grand Central, and in neither case do they run as frequently as hourly (PDF-p. 26). There is no specific schedule to the minute that the interested passenger may look at, nor any attempt at an off-peak clockface pattern. Throw it in the trash The desired rail investment plan for Connecticut, setting aside high-speed rail, is full electrification, plus track renewal to permit the elimination of non-geometric speed limits. It should cost around$1 billion one-time; the movable bridge replacements should be postponed as they are nice to have but not necessary, their proposed budgets are excessive, and some of their engineering depends on whether high-speed rail is built. The works on the New Haven Line are doable in a year or not much more – the four-year timeline on Hanover-Würzburg is intended to space out the flagging delays, but the existing New Haven Line is already on a permanent flagging delay. The trains should be entirely EMUs, initially the existing and under-order M8 fleet, and eventually new lightweight single-level trains. The schedule should have very few patterns, similar to today’s off-peak local and express trains with some of one (or both) pattern diverting to Penn Station; the express commuter trains should take around 1:30 and intercity trains perhaps 1:05. This is a straightforward project.

Instead, AECOM produced a proposal that costs 10 times as much, takes 10 times as long, and produces half the time savings. Throw it in the trash. It is bad, and the retired and working agency executives who are responsible for all of the underlying operating and capital assumptions should be dismissed for incompetence. The people who worked on the report and their sources who misinformed them should be ashamed for producing such a shoddy plan. Even mid-level planners in much of Europe could design a far better project, leaving the most experienced and senior engineers for truly difficult projects such as high-speed rail.

# Hire In-House, Don’t Use Consultants

I recently found two presentations, one from 2017, the other from earlier this week, both underscoring the importance of in-house expertise for efficient construction. This is layered on top of interviews Eric and I did for our Boston case study and a few additional interviews I did in other American and European cities. It is my professional opinion that agencies that engage in major capital projects, even if they involve rolling stock acquisition rather than the construction of new lines, ought to hire in-house, and make sure to have long-term capital programs.

The presentations

Both presentations concern rolling stock. The one from 2017 is by Stadler, regarding the challenges of the American market. On slide 32, it mentions that Caltrain was a demanding customer, with all expertise outsourced and yet managers engaging in micromanagement. The micromanagement is in line with what we’ve heard from contractors for other capital expansions, like Second Avenue Subway, especially contractors with experience in both the US, where this practice is common, and Europe, where it isn’t.

Thanks to the factors mentioned by Stadler as well as the Buy America requirement to set up a new factory with a new supply chain for a midsize order, the cost is $551 million/96 cars, or$5.74 million/car; the typical cost of a KISS is 300 million €/90 cars, and the €:$ratio is not 1.72, far from it. The other presentation, from this week, concerns the MBTA’s slow approach to electrifying its commuter rail network. It wishes to begin with a pilot on the already-electrified Providence Line, but is running against the problem of having no in-house expertise, just as Caltrain does not. The presentation on this says, on slide 3, that it takes 6-9 months to onboard consultants, and another 6-9 to develop performance requirements for a kind of vehicle that is completely standard in high-performance regional rail networks in Europe. Instead of hiring experienced professionals (who must come from Europe or East Asia and not the US), the MBTA plans to piggyback on either the overpriced Caltrain order, or an obsolete-technology order by New Jersey Transit. The Caltrain order, moreover, is stretched for the generous loading gauge of the Western US, but does not fit the catenary height on the East Coast, even though European KISSes would easily and are around 13 cm lower than existing MBTA rolling stock. Prior Northeastern examples This combination of political and managerial micromanagement with outsourcing of technical expertise to consultants is common enough in the United States. In the Boston report on the Green Line Extension, we were told by multiple sources that the MBTA only has 5-6 engineers doing design review. Thus, they have the capacity to handle small projects but not large ones. Small-scale projects like building a new infill station or taking an existing low-platform commuter rail station and converting it to an accessible high-platform one usually have limited cost premium: in Berlin, infill stations are 10 million € outside the Ring, whereas in Boston, infill stations and high-platforming projects (which are very similar in scope) are around$20-25 million – and Boston platforms are longer. This is also the case in Philadelphia, where headline costs are lower because the stations are smaller, but overall the unit costs are comparable to those of Boston.

But large projects are beyond the ability of a 6-person team. The required permanent staffing level is likely in the teens for a team whose job is just to score design and construction contracts. This choked the original Green Line Extension, leading to bottlenecks in design and contributing to the project’s extreme cost. The restarted version is still extremely expensive – it’s getting some good press this week for running slightly under a $2.3 billion/6.3 km budget, but said budget,$360 million/km, is well above the international norm for a subway, let alone trenched light rail. The current project has sunk costs from the previous ones, and a combination of in-house and consultant design about whose efficacy we’ve heard conflicting reports, but the team is much larger now.

In areas that don’t even have the skeletal design review staff of Boston, costs are high even for small projects. Connecticut deserves especial demerit: its department of transportation relies exclusively on consultants for rail design (perhaps also road design but I do not know), and infill stations cost not $20-25 million but$50+ million. The Hartford Line, compromised from the start, even displays this state-by-state difference: the one Massachusetts project, a single high platform in Springfield, cost $10 million/100 meters, a fraction of comparable projects in Connecticut. Larger Connecticut stations, such as those for Metro-North, have seen extreme scope creep, amounting to a$106 million total cost.

Consultants and design

American agencies speak of design-bid-build contracts, in which design and construction are separate, and design-build ones, where they are combined into a single contract. Design-bid-build is superior. But really, contracts in low-cost countries are often neither of those, but just build contracts, with design done mostly in-house. A procurement official in Stockholm explained to me that Swedish contracts tend to be build contracts; design-bid-build can sometimes be used with supplemental consultants helping with design, but it’s not the norm. Moreover, in Oslo, the use of design consultants instead of in-house design has not been good: consultants tend to engage in defensive design because of how Norway structures risk allocation, leading to overbuilding.

In Spain and (I believe) Italy, contracts are design-bid-build. But there’s so much in-house involvement in design that it’s more accurate to call these build contracts. The in-house design teams are not huge but they’re enough to work with private design firms and score proposals for technical merit. In Istanbul, the system is somewhat different: preliminary design at the 60% level is contracted out separately from the combination of final design and construction, which may possibly be called des-bid-ign-build, but the design part is extensively scored on technical merit, at 60-80% of the total weight. The construction contracts in Istanbul are lowest-bid, but contractors can be disqualified, and since Turkey has so much infrastructure construction, contractors know that they need to behave well to get future work.

Unfortunately, American consultants believe the opposite: they believe in the superiority of design-build and are not even aware of pure build, only design-bid-build. Sources from that world that I generally think highly of have told me that directly. But that is because the sort of projects that they are most likely to be involved in are ones that use consultants, which definitionally are not build contracts. The ongoing expansion projects in Stockholm, Madrid, Barcelona, Milan, Rome, and Berlin have no use for international consultants, so international consultants are not familiar with them, and end up knowing only about high-cost examples like London or the occasional medium-cost one like Paris. In effect, to rely on consultants is to ascertain one largely learns worst industry practices, not best ones.

Hire in-house

The alternative to paying consultants is to obtain public-sector expertise. Agencies are obligated to hire sufficient-size teams, and pay them competitively. Engineers in Italy and Spain have a lot of social prestige, much as in France and Germany; even in medium- rather than low-cost countries in Europe, like France, we were told by UITP planners that the people planning metro systems are hired from the engineering elite (in France, this would be Grandes Ecoles graduates), and paid appropriately.

In the US, there is no such prestige. Humanities professors speak of STEM privilege routinely, but by Continental and East Asian standards, the US and UK have no STEM privilege: the elites are generalist and are not expected to know the specific industrial fields they oversee. The public sector thus treats the planner and the engineer as a servant to the political appointee. Senior management routinely ignores the advice of younger planners who are more familiar with present-day research.

The pay, too, is deficient. In absolute numbers, planners at American transit agencies get paid better than their European counterparts – but American white-collar wages are generally higher than European ones. The MBTA pays project managers $106,000 a year as of a few years ago, which is a nice wage, but the Boston private sector pays$140,000 in transportation and more in other fields. The public sector, through budget-cutting officials, sends a clear price signal: we do not want you to work for us.

There is another way, but it requires letting go of the idea that private consultants are better than long-term in-house experts. It is obligatory to hire in-house at competitive wages to grow the design review teams, and listen to them when they say something is desirable, difficult, or impossible. Instead of onboarding consultants, agencies should immediately staff up in-house with plans for long-term investments. Moreover, senior management should back the planners and engineers when they engage in value engineering, even if it annoys politicians and local activists. The role of elected politicians is to review those in-house plans and decide whether there is room in the budget for the megaprojects they recommend, and not to micromanage. This way, and only this way, can the United States shrink its procurement costs to typical Continental European levels.

# Australian Construction Costs

There’s a report just released by the Grattan Institute called Megabang for Megabucks, talking about high construction costs in Australia. Our transit costs project is quoted as an international comparison, pointing out that Australia is near the global high end. I encourage people to read the report itself, which says interesting things about problems with Australian construction and procurement. I am especially happy to see that the recommendations for the most part accord with what we are learning from other cases – of course, our Boston case is out and the report authors have likely read it, but the recommendations are in line with things we see from yet-unpublished cases, so this is not just me looking at a mirror.

The issue of competition

Australian megaproject contracts have insufficient competition. Only three firms are Tier One, the largest infrastructure contractors in Australia; those get most contracts for the largest infrastructure projects, and when mid-tier firms bid, it’s often in partnership with a Tier One company. Moreover, in the largest size category, higher than $1 billion, even the Tier One firms often partner with one another, leading to monopoly. International firms do access the Australian market, but it is inconsistent. Australia overweights the importance of local experience, and has some unusual rules, such as requiring firms to engage in more prior design than is typical. This is consistent with what I’ve seen in Israel. In short, the electrification contract in Israel was won by Spanish contractor SEMI, which had extensive European experience but none in Israel. This was criticized domestically, and some people blamed it for the schedule slips on the electrification project, but such blame is unfair. The bulk of the delays are not the fault of SEMI but come from a lawsuit launched by Alstom, which competed for the contract and lost out on price; Alston employed industrial espionage to create FUD about the bid, and the lawsuit delayed works by three years. Despite this, the costs have not run over much, and the absolute per-km costs remain on the low side, net of extras like Haifa’s demand for a trench. Thus, even in a situation of extensive domestic complaints about the winning bidder’s lack of local experience, said lack did not materially create problems. This is also consistent with lessons from Turkey. In Turkey, there must be a minimum of three bidders. If there are only one or two, the state or municipal government must rebid. Absolute costs in Turkey are low and so are cost overruns; the extensive competition helps discipline the contractors, as does the political consensus in favor of rapid infrastructure construction, credibly promising firms that there will be more work in the future and if they behave they will get some of it. Procurement The study discusses different contracting regimes. It does not talk about the design-build issue; I do not know whether it is as prevalent in Australia as in Canada, and regrettably there is no cost history, thus no way for me to confirm my suspicion that Australia resembles Canada and Singapore in only having had a cost explosion in the last 20 years. However, it does talk about change orders. Change orders are a notable problem in California. Low bids followed by renegotiation are common there; Tutor Perini is notorious for this behavior. The study goes over strategies to deal with this issue, though it does not talk explicitly about itemization as in Spain and Italy, where the unit prices are public and then if more is needed (e.g. more labor due to slower progress) then the change is already pre-agreed, avoiding litigation. Sweden avoids litigation as well. Finally, the study talks about rushing. This was an issue in Boston, so this may be me learning from a mirror, but, in brief, American funding for infrastructure encourages agencies to rush the preliminary design to apply for federal funding early. This leads to compromised designs and premature commitment, since there is no ongoing funding for long-term design. Learning from good examples I think the one drawback of the study is the list of comparisons. Sourced partly to us and partly to Read-Efron, they say, The empirical evidence is incomplete, but what there is shows that rail construction costs in Australia are in the top quarter of 27 OECD countries studied. They are higher than in numerous other rich countries: 26 per cent higher than in Canada, 29 per cent higher than in Japan, and more than three times as high as in Spain (Figure 1.2 on the following page). And road and rail tunnels cost more in Australia than elsewhere in the world, according to an international study. The comparison with Canada has a problem: the Canadian costs in our database go back 15-20 years, and back then, costs were much lower than today. The latest costs do not show an Australian premium over Canada – Toronto is more expensive to build in than Sydney and almost as much as Melbourne. It is critical to understand that high costs are really a pan-Anglosphere phenomenon, and thus Australia should learn from Continental European and East Asian examples (except very high-cost Hong Kong), and not from countries that in the last 10 years have had the same problems as Australia or worse. Spain is always good, as are common features to low-cost Spain, Italy, Turkey, South Korea, and the Nordic countries, and even common features to those and medium-cost countries like France, Germany, China, and Japan. # Randal O’Toole Gets High-Speed Rail Wrong Now that there’s decent chance of US investment in rail, Randal O’Toole is resurrecting his takes from the early Obama era, warning that high-speed rail is a multi-trillion dollar money sink. It’s not a good analysis, and in particular it gets the reality of European and Asian high-speed rail systems wrong. It displays lack of familiarity with rail practice and rail politics, to the point that most nontrivial assertions about rail in Europe and Asia are incorrect. More broadly, the way O’Toole gets rail investment here wrong comes from making unexamined American assumptions and substituting them for a European or Japanese reality regarding rail as well as rail politics. If the US can’t do it, he thinks other countries can’t. Unfortunately, he’s even unfamiliar with recent work done on American costs, when he compares the Interstate system positively with recent high-speed rail lines. High-Speed Rail Profitability: France I’m currently working on building a database similar to our urban rail costs for high-speed rail. Between this and previous iterations of analyzing the TGV, I’ve been reading a lot of internal French reports about its system. Thankfully, France makes available very good public information about the costs and technical specifications of its system. It helps that I read French, but the gap between what’s available for France and Belgium (see for example line schemas) is vast. This provides crucial background that O’Toole is missing. The most important thing to understand is that the TGV network is profitable. The Spinetta report on the fiscal losses of SNCF makes it clear, starting on p. 60, that the TGV network is profitable, and recommends favoring its development over the money-losing legacy networks, especially the branch lines. The report even calls for closing weak branch lines with only a few trains a day, which I called the Spinetta Axe at the time, in analogy with the Beeching Axe. Due to public outcry the state rejected the cuts and only implemented the organizational changes promoted by the report. Moreover, all lines are very profitable excluding the cost of fixed capital. The Spinetta report’s TGV section says that operating costs average €0.06/seat-km, which is around 0.085€/p-km, despite overstaffing of conductors (8 per conventional 400-car TGV) and extensive travel on legacy track at low speed and higher per-km labor costs. Average TGV fare revenue per an ARAFER report from 2016 is 0.10€/p-km – compare p-km on p. 15 and revenue on p. 26. This is typical for Europe – RENFE and DB charge similar fares, and the nominal fares seem to have been flat over the last decade. What’s dicier is cost of capital. In all other European countries for which I’m aware of the process, all of which are Northern rather than Southern, this is done with benefit-cost analysis with a fixed behind-the-scenes discount rate. France, in my view wisely, rates lines by their financial and social rates of return instead. A 2014 report about the Bordeaux-Toulouse LGV, recently given the go-ahead for 7.5 billion €, warns that the profitability of LGVs decreases as the system is built out: the LGV Sud-Est returned 15% to SNCF’s finances and 30% to French society (including rider consumer surplus), but subsequent lines only returned 4-7% to SNCF’s finances, and Bordeaux-Toulouse is likely to return less, 6% including social benefits per the study and at this point slightly less since the study assumed it would cost slightly less than the current budget. The general theme in the French discourse on trains is that the TGV network is an obvious success. There absolutely is criticism, which focuses on the following issues: • Regional rail, that is not intercity rail, is underdeveloped in France outside Paris. The ridership of TER networks is pitiful in comparison with German-speaking and Nordic metropolitan areas of comparable size. For example, sourced to a dead link, Wikipedia claims 64,300 TER PACA trips per day, comprising the metropolitan areas of Marseille (1.8 million), Nice (1), Toulon (0.6), and Avignon (0.5); in Helsinki (1.5) alone, there are 200,000 daily commuter rail trips. But this isn’t really about high-speed rail, since TER planning and subsidies are devolved to regional governments, and not to SNCF. • SNCF has contentious labor relations. In the early 2010s, the unions went on a wave of strikes and got wage concessions that led to the evaporation of SNCF’s 600 million €/year primary surplus. The railway unions in France (“cheminots”) are unpopular, and Macron has been able to pass reforms to SNCF’s governance over their strikes and objections. • Future LGVs are not as strong as past ones. Real costs in France are rising, and the network already links Paris with all major secondary cities in airplane-competitive time save Nice. Interprovincial links on the network are weak, despite the construction of the LGV Rhin-Rhône, and nothing like the Deutschlandtakt is on the horizon enabling everywhere-to-everywhere travel. • SNCF thinks like an airline and not like a railroad. It separates passengers into different buckets as airlines do, has many executives with airline background (and Spinetta is ex-Air France), thinks passengers do not ride trains for longer than 3 hours even though at 4 hours the modal split with air is still better than 50-50, and has poor integration between the TGV and legacy rail. • SNCF still has a lot of accumulated debt from past operating losses, some predating the TGV and the start of regional subsidies for regional rail. It was hoped that TGV profits could cover them, but they can’t. This mirrors the controversy in Japan in the 1980s, where, in the breakup of JNR into the JRs and their privatization, debt from past operating losses was wiped but not debt from Shinkansen construction (see Privatization Best Practices, PDF-p. 106). However, saying that the existing network is a failure is the domain of cranks and populists. It is unrecognizable from the discussion of transportation investments in France. What O’Toole says about high-speed rail O’Toole’s understanding of internal French (or Spanish, or Japanese) issues is weak. This isn’t surprising – Americans to a good approximation never have good insights on the internal issues of any other country, even when it speaks English. The American political sphere, which includes political thinktanks like Cato, is remarkably ignorant globally, and rather incurious. As a result, what he says about the TGV is based on an Americanized understanding. To wit: Bus-rail competition The Northeastern United States has a weak rail network: Amtrak averages vintage 1960s speeds and charges 2-4 times the per-km fare of the TGV. As a result, an ecosystem of private intercity buses has developed, starting with unregulated ones like Fung Wah and, as they were shut down, corporate systems like Megabus and Bolt. O’Toole is fond of these buses, with their lower fares and road-like lack of integration between infrastructure and operations. And thus, he claims, falsely, that European high-speed rail cannibalized profitable buses. This is unrecognizable from within Europe, where intercity buses were underdeveloped until recently. In France, US-style intercity buses are called Macron buses, because the deregulation that brought them into existence passed in the mid-2010s, when Macron was the economy minister. They complement high-speed rail but do not replace it, because trains get me from Paris to the German border in 1:45 and buses don’t. To be fair, TGV ridership has been stagnant in the last few years. But this stagnation goes back to the financial crisis, and if anything ridership picked up starting 2017 with the opening of the LGV Sud-Europe-Atlantique. So the buses are not even outcompeting the trains – they thrive in the gaps between them, just as historically they did on international routes, where rail fares are considerably higher and ridership lower. High-speed rail construction costs O’Toole looks at the most expensive few lines possible: Britain’s 345‐​mile London–Scotland HS2 high‐​speed rail line was originally projected to cost £32.7 billion (about$123 million per mile) and is currently expected to cost £106 billion ($400 million per mile). International comparisons of high-speed rail costs exist, and Britain’s costs are by far the worst. For example, a 2013 Australian comparison looking at the prospects for such a system in Australia finds that High-Speed 1/CTRL, the line linking the Channel Tunnel with London, cost A$134 million/km, and the second costliest line in the dataset was thee 94% tunneled Bologna-Florence line, at A$95 million/km. French costs up until the LGV Bordeaux-Toulouse stood around$25-30 million per km in 2021 dollars, net of tunnels. German costs are similar, but German lines have far heavier tunneling than France, a range of 26-51% in tunnel compared with 0-6% in France. One reason is topography. But another is that Germany prefers mixed-use passenger-freight lines, which forces higher construction costs as freight requires gentler grades and, since superelevation must be lower, wider curves; France, like Japan and China, builds dedicated passenger lines, and, unlike Japan or China, keeps them largely at-grade to reduce costs.

O’Toole says, without more references, that it would cost $3-4 trillion to build a US-wide high-speed rail network. But the official Obama-era crayon, at 20,000 km, would be$500 billion at tunnel-free European costs, or maybe $600 billion with 5% tunneling, mostly in difficult places like California and across the Appalachians. Freeway costs O’Toole proposes more freeways, and says that to build the Interstate system today would cost$530 billion so it’s better than high-speed rail. Here is where his lack of knowledge of the most recent literature on infrastructure costs is a serious drag on his analysis: Brooks-Liscow establish that there was a large real increase in Interstate cost throughout the life of the program, so a budget that’s really a mixture of cheaper early-1960s construction and more expensive construction in the 1970s is not applicable today.

The same issue affects rail costs: the LGV Sud-Est cost, in today’s money, around 8 million/km, which cost would never recur. Brooks-Liscow explain this by greater surplus extraction from citizen voice groups, which demanded detours and route compromises raising costs. This appears true not just diachronically within the US but also synchronically across countries: so far, the low-cost subways we have investigated are all in states with bureaucratic rather than adversarial legalism, while medium-cost Germany is more mixed. Politicized demands leading to more tunneling are well-documented within Germany – the Berlin-Munich line was built through a topographically harder alignment in order to serve Erfurt, at Thuringia’s behest. So no, today costs from the 1960s are not relevant. Today, urban motorway extensions cost double-digit millions of dollars per lane-km, sometimes more. The I-5 improvement project in Los Angeles is1.9 billion for I-5 South, a distance of 11 km, adding two lanes (one HOV, one mixed traffic) in each direction. It’s possible to go lower than this – in Madrid this budget would buy a longer 6-lane tunnel – but then in Madrid the construction costs of rail are even lower, for both metros and high-speed lines.

The discourse on profits

In contrast with the basic picture I outlined for the TGV, French media and researchers often point out threats to rail profitability. This can easily be taken to mean that the TGV is unprofitable, and if one has an American mindset, then it’s especially easy to think this. If SNCF officials say that 20% of TGVs lose money, then surely they must be hiding something and the figure is much higher, right? Likewise, if Spinetta says that the TGV network is profitable but not all trains are, then surely the situation is even worse, right?

But no. This is an Americanized interpretation of the debate. In the US, Amtrak is under constant pressure to show book profits, and its very existence is threatened, often by people who cite O’Toole and other libertarians. Thus, as a survival strategy, Amtrak pretends it is more profitable than it really is.

This has no bearing on the behavior of railroads elsewhere, though. SNCF is not so threatened. The biggest threat from the perspective of SNCF management is union demands for higher wages, and therefore, its incentive is to cry poverty. Nobody in France takes out yardsticks of farebox recovery ratios, and therefore, nobody needs to orient their communications around what would satisfy American libertarians.

Energy

Within the European high-speed rail research community, the energy efficiency of high-speed rail is well-understood, and many studies look at real-world examples, for example the metastudy of Hasegawa-Nicholson-Roberts-Schmid. In fact, it’s understood that high-speed rail has lower energy consumption than conventional rail. For example, here is García Álvarez’s paper on the subject. This is counterintuitive, because higher speeds should surely lead to higher energy consumption, as Hasegawa et al demonstrate – but high-speed lines run at a uniform speed of 200 or 250 or 300 or 350 km/h, whereas legacy rail has many cycles of acceleration and deceleration. At speeds of up to about 200 km/h, nearly all electricity consumption is in acceleration and not maintaining constant speed, and even at 300 km/h, a late-model high-speed train consumes only above one third of its maximum power maintaining speed.

Instead of this literature, O’Toole picks out the fact that all else being equal energy consumption rises in speed, which it is not equal. Garcia in fact points out that higher speeds are better for the environment due to better competition with air, in line with environmental consensus that trains are far superior on well-to-wheels emissions to cars and planes. Worse, O’Toole is citing Chester-Horvath’s lifecycle analysis, which is not favorable to California High-Speed Rail’s energy efficiency. The only problem is that this paper’s analysis relies on a unit conversion error between BTUs and kWh, pointed out by Clem Tillier. The paper was eventually corrected, and with the correct figures, high-speed rail looks healthy.

Competition with cars and planes

Where high-speed rail exists, and the distance is within a well-understood range of around 300-800 km, it dominates travel. A 2004 report by Steer Davies Gleave has some profiles of what were then the world’s main networks. For Japan, it includes a graphic from 1998 on PDF-p. 120 of modal splits by distance. In the 500-700 km bucket, a slight majority of trips all over Japan are made by rail; this is because Tokyo-Osaka is within that range, and due to those cities’ size this city pair dominates pairs where rail is weaker, especially inter-island ones. In the 300-500 km bucket more people drive, but the Shinkansen is stronger than this on the Tokyo-Nagoya pair, it’s just that 300-500 includes many more peripheral links with no high-speed rail service. It goes without saying that high-speed rail does not get any ridership where it does not exist.

In France, this was also studied for the LGV PACA. On p. 14, the presentation lists modal splits as of 2009. Paris-Toulon, a city pair where the TGV takes around 4 hours, has an outright majority for the TGV, with 54% of the market, compared with 12% for air and 34% for driving. Paris-Cannes is 34% and Paris-Nice is 30%, both figures on the high side for their 5:00-5:30 train trips. Lyon-Nice, a 3:30 trip with awful frequency thanks to SNCF’s poor interprovincial service, still has a 25% market share for the TGV.

In general, competition with cars is understudied. Competition with planes is much more prominent in the literature, with plenty of reports on air-rail modal splits by train trip length. JR East, Central (PDF-p. 4), and West all report such market shares, omitting road transport. Many European analyses appeared in the 2000s, for example by Steer Davies Gleave again in 2006, but the links have rotted and Eurostat’s link is corrupt.

O’Toole misunderstands this literature. He lumps all air and road links, even on markets where rail is weak, sometimes for geographical factors such as mountains or islands, sometimes for fixable institutional ones like European borders. In fact, at least measured in greenhouse gas emission and not ridership, all air travel growth in Europe since 1990 has been international. International high-speed rail exists in Europe but charges higher fares and the infrastructure for it is often not built, with slowdowns in border zones. This is a good argument for completing the international network in Europe and a terrible one against building any network at all.

Topography

Even at the level of basic topography, O’Toole makes elementary errors. He discusses the Tokaido Shinkansen, pointing out its factor-of-2 cost overrun. But its absolute costs were not high, which he characterizes as,

The Tokyo–Osaka high‐​speed rail line supposedly made money, but it was built across fairly flat territory

So, first of all, the “supposedly” bit is painful given how much JR Central prints money. But “fairly flat territory” is equally bad. Japan’s mountainous topography is not an obscure fact. It’s visible from satellite image. Per Japanese Wikipedia, 13% of the route is in tunnel, more than California High-Speed Rail.

The United States can and should do better

The report is on stronger grounds when criticizing specifics of Amtrak and California High-Speed Rail. American rail construction is just bad. However, this is not because rail is bad; it’s because the United States is bad.

And there’s the rub. Americans in politics can’t tell themselves that another country does something better than the US does. If it’s in other countries and the US can’t do it, it must be, as O’Toole calls rail, obsolete. This is especially endemic to libertarians, who are intellectually detached from their European right-liberal counterparts (Dutch VVD, German FDP, etc.) even more than the American center-left is from social democrats here and the right is from the mainline and extreme right here.

So here, faced with not too hard to find evidence that high-speed rail is profitable in Europe and Asia, and in fact intercity rail is profitable here in general (direct subsidies are forbidden by EU law unless the line is classified as regional), unlike in the United States, O’Toole makes up reasons why trains here are unprofitable or unsuccessful. He says things that are not so much wrong as unrecognizable, regarding topography, buses, construction costs, debt, the state of the TGV debate, or greenhouse gas emissions.

O’Toole is aware of our transit costs comparison. I imagine he’s also aware of high-speed rail cost comparisons, which exist in the literature – if he’s not, it’s because he doesn’t want to be so aware. And yet, no matter how loudly the evidence screams “the United States needs to become more like France, Germany, Japan, Spain, etc.,” American libertarians always find excuses why this is bad or unnecessary. And then, when it comes to expanding freeways, suddenly the cost concerns go out the door and they use unrealistically low cost figures.

But figuring out why the US is bad requires way deeper dives. It requires delving into the field and understanding how procurement is done differently, what is wrong with Amtrak, what is wrong with the California High-Speed Rail Authority, how engineering is done in low- and medium-cost countries, various tradeoffs for planning lead time, and so on. It requires turning into the kind of expert that libertarians have spent the last 60 years theorizing why they need not listen to (“public choice”). And it requires a lot of knowledge of internal affairs of successful examples, none of which is in an English-speaking country. So it’s easier to call this obsolete just because incurious Americans can’t do it.

# Tilting Trains and Technological Dead-Ends

The history of tilting trains is on my mind, because it’s easy to take a technological advance and declare it a solution to a problem without first producing it at scale. I know that 10 years ago I was a big fan of tilting trains in comments and early posts, based on both academic literature on the subject and existing practices. Unfortunately, this turned into a technological dead-end because the maintenance costs were too high, disproportionate to the real speed benefits, and further work has gone in different directions. I bring this up because it’s a good example of how even a solution that has been proven to work at scale can turn out to be a dead-end.

What is tilting?

It is a way of getting trains to run at higher cant deficiency.

What is cant deficiency?

Okay. Let’s derive this from physical first principles.

The lateral acceleration on a train going on a curve is given by the formula a = v^2/r. For example, if the speed is 180 km/h, which is 50 m/s, and the curve radius is 2,000 meters, then the acceleration is 50^2/2000 = 1.25 m/s^2.

Now, on pretty much any curve, a road or railway will be banked, with the outer side elevated above the inner side. On a railway this is not called banking, but rather superelevation or cant. That way, gravity countermands some of the centrifugal force felt by the train. The formula on standard-gauge track is that 150 mm of cant equal 1 m/s^2 of lateral acceleration. The cant is free speed – if the train is perfectly canted then there is no centrifugal force felt by the passengers or the train systems, and the balance between the force on the inner and outer rail is perfect, as if there is no curve at all.

The maximum superelevation on a railway is 200 mm, but it only exists on some Shinkansen lines. More typical of high-speed rail is 160-180 mm, and on conventional rail the range is more like 130-160; moreover, if trains are expected to run at low speed, for example if the line is dominated by slow freight traffic or sometimes even if the railroad just hasn’t bothered increasing the speed limit, cant will be even lower, down to 50-80 mm on many American examples. Therefore, on passenger trains, it is always desirable to run faster, that is to combine the cant with some lateral acceleration felt by the passengers. Wikipedia has a force diagram:

The resultant force, the downward-pointing green arrow, doesn’t point directly toward the train floor, because the train goes faster than the balance speed. This is fine – some lateral acceleration is acceptable. This can be expressed in units of acceleration, that is v^2/r with the contribution of cant netted out, but in regulations it’s instead expressed in theoretical additional superelevation required to balance, that is in mm (or inches, in the US). This is called cant deficiency, unbalanced superelevation, or underbalance, and follows the same 150 mm = 1 m/s^2 formula on standard-gauge track.

Note also that it is possible to have cant excess, that is negative cant deficiency. This occurs when the cant chosen for a curve is a compromise between faster and slower trains, and the slower trains are so much slower the direction of the net force is toward the inner rail and not the outer rail. This is a common occurrence when passenger and freight trains share a line owned by a passenger rail-centric authority (a freight rail-centric one will just set the cant for freight balance). It can also occur when local and express passenger trains share a line – there are some canted curves at stations in southeastern Connecticut on the Northeast Corridor.

The maximum cant deficiency is ordinarily in the 130-160 mm range, depending on the national regulations. So ordinarily, you add up the maximum cant and cant deficiency and get a lateral acceleration of about 2 m/s^2, which is what I base all of my regional rail timetables on.

You may also note that the net force vector is not just of different direction from the vertical relative to the carbody but also of slightly greater magnitude. This is an issue I cited as a problem for Hyperloop, which intends to use far higher cant than a regular train, but at the scale of a regular train, it is not relevant. The magnitude of a vector consisting of a 9.8 m/s^2 weight force and a 2 m/s^2 centrifugal force is 10 m/s^2.

Okay, so how does tilt interact with this?

To understand tilt, first we need to understand the issue of suspension.

A good example of suspension in action is American regulations on cant deficiency. As of the early 2010s, the FRA regulations depend on train testing, but are in practice, 6″, or about 150 mm. But previously the blanket rule was 3″, with 4-5″ allowed only by exception, mocked by 2000s-era advocates as “the magic high-speed rail waiver.” This is a matter of carbody suspension, which can be readily seen in the force diagram in the above secetion, in which the train rests on springs.

The issue with suspension is that, because the carbody is sprung, it is subject to centrifugal force, and will naturally suspend to the outside of the curve. In the following diagram, the train is moving away from the viewer and turning left, so the inside rail is on the left and the the outside rail is on the right:

The cant is 150 mm, and the cant deficiency is held to be 150 mm as well, but the carbody sways a few degrees (about 3) to the outside of the curve, which adds to the perceived lateral acceleration, increasing it from 1 m/s^2 to about 1.5. This is typical of a modern passenger train; the old FRA regulations on the matter were based on an experiment from the 1950s using New Haven Railroad trains with unusually soft suspension, tilting so far to the outside of the curve that even 3″ cant deficiency was enough to produce about 1.5 m/s^2 of lateral force felt by the passengers.

By the same token, a train with theoretically perfectly rigid suspension could have 225 mm of cant deficiency and satisfy regulators, but such a train doesn’t quite exist.

Here comes tilt. Tilt is a mechanism that shifts the springs so that the carbody leans not to the outside of the curve but to its inside. The Pendolino technology is theoretically capable of 300 mm of cant deficiency, and practically of 270. This does not mean passengers feel 1.8-2 m/s^2 of lateral acceleration; the train’s bogies feel that, but are designed to be capable of running safely, while the passengers feel far less. In fact the Pendolino had to limit the tilt just to make sure passengers would feel some lateral acceleration, because it was capable of reducing the carbody centrifugal force to zero and this led to motion sickness as passengers saw the horizon rise and fall without any centrifugal force giving motion cues.

Two lower cant deficiency-technology than Pendolino-style tilt are notable, as those are not technological dead-ends, and in fact remain in production. Those are the Talgo and the Shinkansen active suspension. The Talgo has no axles, and incorporates a gravity-based pendular system in which the train is sprung not from the bottom up but from the top down; this still isn’t enough to permit 225 mm of cant deficiency, but high-speed versions like the AVRIL permit 180, which is respectable. The Shinkansen active suspension is computer-controlled, like the Pendolino, but only tilts 2 degrees, allowing up to 180 mm of cant deficiency.

What is the use case of tilting, then?

Well, the speed is higher. How much higher the speed is depends on the underlying cant. The active tilt systems developed for the Pendolino, the Advanced Passenger Train, and ICE T are fundamentally designed for mixed-traffic lines. On those lines, there is no chance of superelevating the curves 200 mm – one freight locomotive at cant excess would demolish the inner track, and the freight loads would shift unacceptably toward the inner rail. A more realistic cant if there is much slow freight traffic is 80 mm, in which case the difference between 150 and 300 mm of cant deficiency corresponds to a speed ratio of $\sqrt{(80+300)/(80+150)} = 1.285$.

Note that the square root in the formula, coming from the fact that acceleration formula contains a square of the speed, means that the higher the cant, the less we care about cant deficiency. Moreover, at very high speed, 300 mm of cant deficiency, already problematic at medium speed (the Pendolino had to be derated to 270), is unstable when there is significant wind. Martin Lindahl’s thesis, the first link in the introduction, runs computer simulations at 350 km/h and finds that, with safety margins incorporated, the maximum feasible cant deficiency is 250 mm. On dedicated high-speed track, the speed ratio is then $\sqrt{(200+250)/(200+130)} = 1.168$, a more modest ratio than on mixed track.

The result is that for very high-speed rail applications, Pendolino-level tilting was never developed. The maximum cant deficiency on a production train capable of running at 300 km/h or faster is 9″ (230 mm) on the Avelia Liberty, a bespoke train that cost about double per car what 300 km/h trains cost in Europe. To speed up legacy Shinkansen lines, JR Central and JR East have developed active suspension, stretching the 2.5 km curves of the Tokaido Shinkansen from the 1950s and 60s to allow 285 km/h with the latest N700 trains, and allowing 360 km/h on the 4 km curves of the Tohoku Shinkansen.

What happened to the Pendolino?

The Pendolino and similar trains, such as the ICE T, have faced high maintenance costs. Active tilting taxes the train’s mechanics, and it’s inherently a compromise between maintenance costs and cant deficiency – this is why the Pendolino runs at 270 mm where it was originally capable of 300 mm. The Shinkansen’s active suspension is explicitly a compromise between costs and speed, tilted toward lower cant deficiency because the trains are used on high-superelevation lines. The Talgo’s passive tilt system is much easier to maintain, but also permits a smaller tilt angle.

The Pendolino itself is a fine product, with the tilt removed. Alstom uses it as its standard 250 km/h train, at lower cost than 350 km/h trains. It runs in China as CRH5, and Poland bought a non-tilting Pendolino fleet for its high-speed rail service.

Other medium-speed tilt trains still run, but the maintenance costs are high to the point that future orders are unlikely to include tilt. Germany has a handful of tilt trains included in the Deutschlandtakt, but the market for them is small. Sweden is happy with the X2000, but its next speedup of intercity rail will not involve tilting trains on mostly legacy track as Lindahl’s thesis investigated, but conventional non-tilting high-speed trains on new 320 km/h track to be built at a cost that is low by any global standard but still high for how small and sparsely-populated Sweden is.

In contrast, trainsets with 180 mm cant deficiency are still going strong. JR Central recently increased the maximum speed on the Tokaido Shinkansen from 270 to 285 km/h, and Talgo keeps churning out equipment and exports some of it outside Spain.

# High-Speed Rail and the Pacific Northwest

The Pacific Northwest seems like the perfect region for high-speed rail: its cities form a neat line from Vancouver to Portland and points south, grow at high rates with transit-oriented development, and have sizable employment cores around the train station. And yet, when I generated my high-speed rail maps, I could only include it as a marginal case, and even that inclusion was charitable:

(Full-size image is available here.)

There’s been a lot of criticism over why I’m including Atlanta-Jacksonville but not Vancouver-Seattle-Portland, and I’d like to explain why the model says this.

Density

The population density in the Western United States is very low. What this means in practice is that cities are far apart – the best example is Denver, a large metropolitan area that is 537 km from the nearest million-plus metro area (Albuquerque). A high-speed line can connect two cities, maybe three, but will not form the multi-city trunk that one sees in Germany or Italy, or even Spain or France. Lines can still make sense if they serve enormous cities like Los Angeles, but otherwise there just isn’t much.

This relates to Metcalfe’s law of network effects. In a dense region, the 500-800 km radius around a city will have so many other cities that network effects are obtained as the system grows. Even Florida, which isn’t dense by European standards, has cities placed closely enough that a medium-size system can connect Miami, Orlando, Tampa, and Jacksonville, and then with a 500 km extension reach Atlanta. The I-85 corridor can likewise accrete cities along the way between Washington and Atlanta and get decent ridership.

In the Pacific Northwest, any intercity infrastructure has to live off Vancouver, Seattle, and Portland – that’s it. Spokane is small, orthogonal to the main line, and separated by mountains; Salem and Eugene are small and Salem is technically in the Portland combined statistical area; California’s cities are very far away and separated by mountains that would take a base tunnel to cross at speed. And Seattle is just not that big – the CSA has 5 million people, about the same as Berlin, which has within 530 km every German metropolitan area.

The model

The model thinks that with Vancouver (2.6)-Seattle (5) at 220 km and Seattle-Portland (3.2) at 280, ridership is as follows, in millions of passengers per year in both directions combined:

In operating profits in millions of dollars per year, this is,

This is $135 million a year. It’s actually more optimistic than the official WSDOT study, which thinks the line can’t make an operating profit at all, due to an error in converting between miles and kilometers. The WSDOT study also thinks the cost of the system is$24-42 billion, which is very high. Nonetheless, a normal cost for Vancouver-Portland HSR is on the order of $15 billion, a bit higher than the norm because of the need for some tunnels and some constrained urban construction through I-5 in Seattle. It isn’t even close. The financial ROI is 0.9%, which is below the rate of return for government debt in the very long run. Even with social benefits included, the rate is very low, maybe 2.5% – and once social benefits come into play, the value of capital rises because competing government investment priorities have social benefits too so it’s best to use the private-sector cost of capital, which is 4-5%. This exercise showcases the value of density to intercity rail networks. You don’t need Dutch density, but Western US density is too low – the network effects are too weak except in and around California. It would be mad to build Atlanta-Jacksonville as a high-speed rail segment on its own, but once the Florida network and the I-85 network preexist, justified by their internal ridership and by the Piedmont’s connections to the Northeast, connecting Atlanta and Jacksonville becomes valuable. Growth The one saving grace of the Pacific Northwest is growth. That’s why it’s even included on the map. Lines in the 1.5-1.8% ROI region are not depicted at all, namely Houston-New Orleans and Dallas-Oklahoma City-Kansas City-St. Louis, both discounted because none of the cities connected has local public transportation or a strong city center. The Pacific Northwest is not discounted, and also benefits from strong growth at all ends. The gravity model says that ridership is proportional to the 0.8th power of the population of each city connected. To get from 0.9% to 2% requires a factor of 2.2 growth, which requires each city to grow by a factor of 2.2^0.625 = 1.65. Is such growth plausible? Yes, in the long run. In 2006-16, Metro Vancouver grew 16%; in 2010-9, the core three-county Seattle metro area (not CSA) grew 16% as well, and the core Portland metro area (again, not CSA) grew 12%. At 16% growth per decade, the populations will rise by the required factor in 34 years, so building for the 20-year horizon and then relying on ridership growth in the 2050s and 60s isn’t bad. But then that has a lot of risk embedded in it – the growth of Seattle is focused on two companies in a similar industry, and that of Vancouver is to a large extent the same industry too. Moreover, the region’s relative YIMBYism can turn into NIMBYism fast. Metro Vancouver’s housing growth is healthy, but the region is fast running out of developable non-residential areas closer in than Surrey, which means it will need to replace single-family housing on the West Side with apartment buildings, which it hasn’t done so far. Growing construction costs are also threatening the ability of both Vancouver and Seattle to feed commuters into their central business districts by rail – Seattle may have built U-Link for costs that exist in Germany, but the Ballard/West Seattle line is$650 million/km and mostly above-ground, and the Broadway subway in Vancouver, while only C$500 million/km, is still on the expensive side by non-Anglo standards. It’s useful to plan around future growth and safeguard the line, but not to build it just on the promise of future growth, not at this stage. # No Cafe Cars, Please European and American intercity train planning takes it as a given that every train must have a car dedicated to cafeteria service. This is not the only way to run trains – the Shinkansen doesn’t have cafe cars. Cafe cars waste capacity that could instead be carrying paying passengers. This is the most important on lines with capacity limitations, like the Northeast Corridor, the West Coast Main Line, the LGV Sud-Est, and the ICE spine from the Rhine-Ruhr up to Frankfurt and Mannheim. Future high-speed train procurement should go the Shinkansen route and fill all cars with seats, to maximize passenger space. How much space do cafe cars take? Typically, one car in eight is a cafe. The standard European high-speed train is 200 meters long, and then two can couple to form a 400-meter train, with two cafes since the two 200-meter units are separate and passengers can’t walk between them. In France, the cars are shorter than 25 meters, but a TGV has two locomotives and eight coaches in between, so again one eighth of the train’s potential passenger space does not carry passengers but rather a support service. Occasionally, the formula is changed: the ICE4 in Germany is a single 12-car, 300-meter unit, so 1/12 of the train is a cafe, and in the other direction, the Acela has six coaches one of which is a cafe. A 16-car Shinkansen carries 1,323 passengers; standard class has 5-abreast seating, but even with 4-abreast seating, it would be 1,098. The same length of a bilevel TGV is 1,016, and a single-level TGV is 754. The reasons include the Shinkansen’s EMU configuration compared with the TGV’s use of locomotives, the lack of a cafe car in Japan, somewhat greater efficiency measured in seat rows per car for a fixed train pitch, and a smaller share of the cars used for first class. An intermediate form is the Velaro, which is an EMU but has a cafe and three first-class cars in eight rather than the Shinkansen’s three in 16; the Eurostar version has 902 seats over 16 cars, and the domestic version 920. The importance of the first- vs. second-class split is that removing the cafe from a European high-speed train means increasing seated capacity by more than just one seventh. The bistro car is an intermediate car rather than an end car with streamlining and a driver’s cab, and if it had seats they’d be second- and not first-class. A German Velaro with the bistro replaced by a second-class car would have around 1,050 seats in 16 cars, almost even with a 4-abreast Shinkansen even with four end cars rather than two and with twice as many first-class cars. How valuable are cafes to passengers? The tradeoff is that passengers prefer having a food option on the train. But this preference is not absolute. It’s hard to find a real-world example. The only comparison I am aware of is on Amtrak between the Regional (which has a cafe) and the Keystone (which doesn’t), and Regional fares are higher on the shared New York-Philadelphia segment but those are priced to conserve scarce capacity for profitable New York-Washington passengers, and at any rate the shared segment is about 1:25, and perhaps this matters more on longer trips. Thankfully, the Gröna Tåget project in Sweden studied passenger preferences in more detail in order to decide how Sweden’s train of the future should look. It recommends using more modern seats to improve comfort, making the seats thinner as airlines do in order to achieve the same legroom even with reduced pitch, and a number of other changes. The question of cafes in the study is presented as unclear, on PDF-p. 32: Put another way, the extra passenger willingness to pay for a cafeteria compared with nothing, 14%, is approximately equal to the increase in capacity on a Velaro coming from getting rid of the bistro and replacing it with a second-class car. The extra over a Shinkansen-style trolley is 3%. Of course, demand curves slope down, so the gain in revenue from increasing passenger capacity by 14% is less than 14%, but fares are usually held down to a maximum regulatory level and where lines are near capacity the increase in revenue is linear. Station food Instead of a bistro car, railroads should provide passengers with food options at train stations. In Japan this is the ekiben, but analogs exist at major train stations in Europe and the United States. Penn Station has a lot of decent food options, and even if I have to shell out$10 for a pastrami sandwich, I don’t think it’s more expensive than a Tokyo ekiben, and at any rate Amtrak already shorts me \$90 to travel to Boston. The same is true if I travel out of Paris or Berlin.

Even better, if the station is well-designed and placed in a central area of the city, then passengers can get from the street to the platform very quickly. At Gare de l’Est, it takes maybe two minutes, including time taken to print the ticket. This means that there is an even broader array of possible food options by buying on the street, as I would when traveling out of Paris. In that case, prices and quality approach what one gets on an ordinary street corner, without the premium charged to travelers when they are a captive market. The options are then far better than what any bistro car could produce, without taking any capacity away from the train at all.

# Poor Rich Countries and Isomorphic Mimicry

A curious pattern can be found in subway construction costs around the world, based on GDP per capita. On the one hand, poor countries that have severe cultural cringe, such as former colonies, have high construction costs, and often the worst projects are the ones that most try to imitate richer countries, outsourcing design to Japan or perhaps China. On the other hand, poor-rich countries, by which I mean countries on the periphery of the developed world, have similar cultural cringe and self-hate for their institutions, and yet their imitation of richer countries has been a success; for example, Spain copied a lot of rail development ideas from Germany and France. This can be explained using the development economic theory of isomorphic mimicry; the rub here is that a poor country like India or Ethiopia is profoundly different from the richer countries it tries to imitate, whereas a poor-rich country like Spain is actually pretty similar to Germany by global standards.

What is isomorphic mimicry?

In the economic development literature, the expression isomorphic mimicry refers to when a poor country sets up institutions that aim to imitate those of richer countries in hope that through such institutions the country will become rich too, but the imitation is too shallow to be useful. A common set of examples is well-meaning regulations on safety, labor, environmental protection, and anti-corruption that are not enforced due to insufficient state capacity. Here is a review of the concept by Andrews, Pritchett, and Woolcock, with examples from Mozambique, Uganda, and India, as well as some history from the American private sector. More examples using the theory can be found in Turczynowicz, Gautam, Rénique, Yeap, and Sagues concerning Peru’s one laptop per child program, in Evans’ interpretation of Bangladesh’s domestic violence laws, and in Rajagopalan and Tabarrok on India’s poor state of public services.

While the theory regarding institutions is new, analogs of it for tangible goods are older. Postwar developmental states engaged in extensive isomorphic mimicry, building dams, steel plants, and coal plants hoping that it would transform them into wealthy states like the United States, Western Europe, and Japan; for the most part, they had lower economic growth than did the developed world until the 1980s. The shift within international development away from tangible infrastructure and toward trying to fix institutions came about because big projects like the Aswan Dam failed to create enduring economic growth and often had ill side effects on agriculture, the environment, or human rights.

How does isomorphic mimicry affect public transportation?

The best example of isomorphic mimicry leading to bad transit that I know of is the Addis Ababa light rail system. This is funded by China, whose ideas of global development are similar to those of the postwar first and second worlds, that is providing tangible physical things, like railroads. Unfortunately, usage is low, because of problems that do not exist in middle-income or rich countries but are endemic to Ethiopia. Christina Goldbaum, the New York Times’ transit reporter, who lived in East Africa and reported from Addis Ababa, mentioned four problems:

1. Electricity is unreliable, so the trains sometimes do not work. In early-20th century America, electric railroads and streetcar companies built their own power supply and were sometimes integrated concerns providing both streetcar and power service; but in more modern countries, there is reliable power for urban rail to tap.
2. Not many people work in city center rather than in the neighborhood they live in. This, again, has historical analogs – there were turn-of-the-century Brooklynites who never visited Manhattan. Thus, a downtown-centric light rail system won’t get as much ridership as in a more developed city.
3. The train is expensive relative to local incomes, so many people stick with buses or ride without paying.
4. The railroad cuts through streets at-grade, to save money, and blocks off pedestrian paths that people use.

The Addis Ababa light rail system at least had reasonable costs. A more typical case for countries that poor is to build urban rail at premium cost, and the poorer the country, the higher the cost. The reason is most likely that such countries tend to build with Chinese or Japanese technical assistance, depending on geopolitics, and therefore import expensive capital for which they pay with weak currencies.

In India, the most functional and richest of the countries in question, there is much internal and external criticism that its economic growth is not labor-intensive, that is the most productive firms are not the ones employing the most people, and this stymies social development and urban growth. I suspect that this also means there is reluctance to use labor-intensive construction methods, that is cut-and-cover with headcounts that would be typical in New York, Paris, and Berlin in the early 20th century, or perhaps mid-20th century Milan and Tokyo. International consultancies are centered on the rich world and recommend capital-intensive methods to avoid hiring too many sandhogs at a fully laden employment cost of perhaps 8,000€ a month; in India, that is the PPP-adjusted gross salary of an experienced construction worker per year, and if capital is imported then multiply its cost by 3 to account for the rupee’s exchange rate value.

Poor-rich countries

Poor-rich countries are those on the margin of the developed world, such as the countries of Eastern and Southern Europe, Turkey, Israel, to a lesser extent South Korea, and the richer countries of Latin America such as Chile. These are clearly poorer than the United States or Germany. Their residents, everywhere I’ve asked, believe that they are poorer and institutionally inferior; convincing a Spaniard or an Italian that their country can do engineering better than Germany is a difficult task. Thus, these countries tend to engage in mimicry of those countries that they consider the economic center, which could be Germany in Southern Europe, Japan in South Korea, or the US or Spain in Spanish America.

However, being a poor-rich country is not the same as being a poor country. Italy is, by American or German standards, poor. Wages there are noticeably lower and living standards are visibly poorer, and not just in the South either. But those wages remain in the same sphere as American and German wages. The labor-capital cost ratios in Southern Europe are sufficiently similar to those of Northern Europe that it’s not difficult to imitate. Spain even mixed and matched, using French TGV technology for early high-speed rail but preferring the more advanced German intercity rail signaling system, LZB, to the French one.

Such imitation leads to learning. Spain imported German and French engineering ideas but not French tolerance for casual rioting or German litigiousness, and therefore can build infrastructure with less NIMBYism. Turkey invited Italian consultants to help design the early lines of the Istanbul Metro, but subsequently refined their ideas domestically in order to build more efficiently, for example shrinking station footprint and tunnel diameter to reduce costs. Seoul has a subway system that looks like Tokyo’s in many ways, but has a cleaner network shape, with far fewer missed connections between lines. As a result, all three countries – Spain, Turkey, Korea – now have innovative domestic programs of rail construction and can even export their expertise elsewhere, as Spain is in Ecuador.

Openness to novelty

Andrews-Pritchett-Woolcock stress the importance of openness to novelty in the public sector, and cite examples of failure in which bureaucrats at various levels refused to implement any change, even one that was proven to be positive, because their goal was not to rock the boat.

Cultural cringe is in a way a check on that. Isomorphic mimicry is an attempt to combine agenda conformity and closeness to novelty with a desire to have what the richest countries have. But in poor-rich countries, isomorphic mimicry is real imitation – there is ample state penetration in a country like Spain or Turkey rather than outsourcing of state capacity to traditional heads of remote villages, and education levels are high enough that many people know how Germany works and interact with Germany regularly. A worker who earns 2,000€ a month net and a worker who earns 3,000€ a month can exchange tips about how to apply for jobs, how to prepare food, what brands of consumer goods to buy, and where to go on vacation. They cannot have this conversation with a worker who earns 10,000€ a month net.

Within the rich world, what matters then is the realization that something is wrong and the solution is to look abroad. It doesn’t matter if it’s a generally poor-rich region like Southern Europe or a region with a poor-rich public sector like the United States – there’s enough private knowledge about how successful places work, but what’s needed is a public acknowledgement and social organization encouraging imitation and lifting voices that are most expert in implementing it.

And for all the jokes about how the United States or Britain is like a third-world country, they really aren’t. Their public-sector dysfunctions are real, but are still firmly within the poor-rich basket; remember, for example, that despite its antediluvian signaling capacity, the New York City Subway manages to run 24 trains per hour per track at the peak, which is better than Shanghai’s 21. Health and education outcomes in the United States are generally better than those of middle-income and poor countries on every measure. This is a public sector that compares poorly with innovation centers in Continental Europe and democratic East Asia, but it still compares; to try to do the same comparison in a country like Nigeria would be nonsensical.

The upshot then is that implementing best practices in developed countries that happen to be bad at one thing, in this case public transportation in the United States, can work smoothly, much like Southern Europe’s successful assimilation of and improvements on Northern European engineering, and unlike the failures in former colonies in Africa and Asia. But people need to understand that they need to do it – that the centers of innovation are abroad and are in particular in countries that speak English non-natively.

# Sorry Eno, the US Really Has a Construction Cost Premium

There’s a study by Eno looking at urban rail construction costs, comparing the US to Europe. When it came out last month I was asked to post about it, and after some Patreon polling in which other posts ranked ahead, here it goes. In short: the study has some interesting analysis of the American cost premium, but suffers from some shortcomings, particularly with the comprehensiveness of the non-American data. Moreover, while most of the analysis in the body of the study is solid, the executive summary-level analysis is incorrect. Streetsblog got a quote from Eno saying there is no US premium, and on a panel at Tri-State a week ago T4A’s Beth Osborne cited the same study to say that the US isn’t so bad by European standards, which is false, and does not follow from the analysis. The reality is that the American cost premium is real and large – larger than Eno thinks, and in particular much larger than the senior managers at Eno who have been feeding these false quotes to the press think.

What’s the study?

Like our research group at Marron, Eno is comparing American urban rail construction costs per kilometer with other projects around the world. Three key differences are notable:

1. Eno looks at light rail and not just rapid transit. We have included a smattering of projects that are called light rail but are predominantly rapid transit, such as Stadtbahns, the Green Line Extension in Boston, and surface portions of some regional rail lines (e.g. in Turkey), but the vast majority of our database is full rapid transit, mostly underground and not elevated. This means that Eno has a mostly complete database for American urban rail, which is by construction length mostly light rail and not subways, whereas we have gaps in the United States.
2. Eno only compares the United States with other Western countries, on the grounds that they are the most similar. There is a fair amount of Canada in their database, one Australian line, and a lot of Europe, but no high-income Asia at all. Nor do they look at developing countries, or even upper-middle-income ones like Turkey.
3. Eno’s database in Europe is incomplete. In particular, it looks by country, including lines in Britain, Spain, Italy, Germany, Austria, the Netherlands, and France, but even there it has coverage gaps, and there is no Switzerland, little Scandinavia (in particular, no ongoing Stockholm subway expansion), and no Eastern Europe.

The analysis is similar to ours, i.e. they look at average costs per km controlling for how much of the line is underground. They include one additional unit of analysis that we don’t, which is station spacing; ex ante one expects closer station spacing to correlate with higher costs, since stations are a significant chunk of the cost and this is especially notable for very expensive projects.

The main finding in the Eno study is that the US has a significant cost premium over Europe and Canada. The key here is figure 5 on takeaway 4. All costs are in millions of PPP dollars per kilometer.

However, the study lowballs the US premium in two distinct ways: poor regression use, and upward bias of non-US data.

Regression and costs

The quotes saying the US has no cost premium over Europe come from takeaways 2 and 3. Those are regression analyses comparing cost per km to the tunnel proportion (takeaway 3) or at-grade proportion (takeaway 2). There are two separate regression lines for each of the two takeaways, one looking at US projects and one at non-US ones. In both cases, the American regression line is well over the European-and-Canadian line for tunneled projects but the lines intersect roughly when the line goes to 0% underground. This leads to the conclusion that the US has no premium over Europe for light rail projects. Moreover, because the US has outliers in New York, the study concludes that there is no US premium outside New York. Unfortunately, these conclusions are both false.

The reason the regression lines intersect is that regression is a linear technique. The best fit line for the US construction cost per km relative to tunnel proportion has a y-intercept that is similar to the best fit line for Europe. However, visual inspection of the scattergram in takeaway 3 shows that at 0% underground, most US projects are somewhat more expensive than most European projects; this is confirmed in takeaway 4. All this means that the US has an unusually large premium for tunneled projects, driven by the fact that the highest-cost part of the US, New York, builds fully-underground subways and not els or light rail. If instead of Second Avenue Subway and the 7 extension New York had built high-cost els, for example the plans for a PATH extension to Newark Airport, then a regression line would show a large US premium for elevated projects but not so much for tunnels.

I tag this post “good/interesting studies” and not just “shoddy studies” because the inclusion of takeaway 4 makes this clear: there is a US premium for light rail, it’s just smaller than for subways, and then regression analysis can falsely make this premium disappear. This is an error, but an interesting one, and I urge people who use statistics and data science to study the difference between takeaways 2 and 3 and takeaway 4 carefully, to avoid making the same error in their own work.

Upward bias

Eno has a link to its dataset, from which one can see which projects are included. It’s notable that Eno is comprehensive within the United States, but not in Europe. Unfortunately, this introduces a bias into the data, because it’s easier to find information about expensive projects than about cheap ones. Big projects are covered in the media, especially if there are cost overruns to report. There is also a big-city premium because it’s more complicated to build line 14 of a metro system than to build line 1, and this likewise biases incomplete data because it’s easier to find what goes on in Paris than to find what goes on in a sleepy provincial town like Besançon. Yonah Freemark thankfully has good coverage of France and includes low-cost Besançon, but Eno does not – its French light rail database is heavy on Paris and has big gaps in the provinces. French Wikipedia in fact has a list, and all of the listed systems, which are provincial, have lower costs than Paris.

There is also no coverage of German tramways; we don’t have such coverage either, since there are many small projects and they’re in small cities like Bielefeld, but my understanding is that they are not very expensive. Traditionally German rail advocates held the cost of a tramway to be €10 million/km, which is clearly too low for the 2010s, but it should lower the median cost compared to the Paris-heavy, Britain-heavy Eno database.