Costs Per Rider and Willingness to Build
At the Transit Costs Project, we study the costs of urban rail lines per kilometer. This, with our usual controls, is a rough indicator of how efficient a city’s infrastructure construction program is. However, cost-effectiveness is different from efficiency, and is better measured not by just the cost but also the benefits, which are measured by ridership. Thus, cost-effectiveness is best measured by the cost of each project per rider. So what does it mean to compare different cities by their costs per rider, rather than per kilometer?
The answer is, “not much,” at least not as far as efficiency or good decisionmaking. In fact, while some projects persistently have costs per rider that are too high to be cost-effective (for example, it’s endemic to airport extensions), some cities have costs per rider that are too low, such as Berlin. The issue here is that if municipal or state decisionmaking is healthy, it will build cost-effective lines; if a line under discussion has a very high benefit-cost ratio, or equivalently a very low cost per rider, it means it should have been built long ago, and it speaks poorly to the local decisionmaking that it hasn’t been built already, as is unfortunately the case in Berlin.
Cost per rider and cost-effectiveness
As always, let’s start with Second Avenue Subway Phase 1, the project that launched my interest in construction costs and the Transit Costs Project writ large. The projected daily ridership is 202,000; the line came close to it in 2019, reaching about 163,000 (see data here; I’m taking boardings for the three new stations, adding the growth in ridership at Lexington/63rd, and multiplying by two to account for disembarkings), and would have likely reached projection by now but for the pandemic. The cost, in 2023 dollars, was $6.23 billion, or about $31,000 per projected weekday trip.
For another anchoring number, let’s use the Stockholm Metro’s entire construction from the 1940s to the 1970s. This is useful because in addition to costs per rider, there is a published ex post benefit-cost ratio, thanks to the work of Maria Börjesson. The cost of that system, in 2023 PPP dollars, was $3.7 billion, with a ridership of 1,265,900 per workday in 2019, or $2,900/rider, while the benefit-cost ratio is 6 without taking agglomeration into account, or 8.5 with. This does not mean that the value of a rider is only about $24,900; this was the value in the economic situation of postwar Sweden, a country that was substantially poorer than the Sweden of today. In 2023 PPP terms, Sweden’s GDP per capita in 1965, about midway through the opening of the original system, was about $19,400; today, Sweden is 3.5 times richer, and the US is 17% richer than Sweden.
The benefits of urban travel are largely proportional to GDP per capita. The economic benefits of agglomeration are proportional to the value of the economy writ large, and so are the benefits of reduced travel time, which in benefit-cost analyses are usually taken to be proportional to the average hourly wage. Conversely, the ability of a government to spend money on desired outcomes is proportional to its tax base, i.e. the size of its economy. All of this is approximate, but all we’re doing is first-order approximate analysis anyway, and so correcting for GDP per capita is valuable.
As it is, the difference between American and Swedish GDP per capita boils down entirely to working hours. Swedes work shorter hours than Americans, as they, like nearly everyone else in Europe, get much longer vacation time; as of 2022, Sweden’s GDP per hour worked was, by a rounding error, slightly higher than the US’s. However, at the same time, the daily ridership numbers for Sweden are specifically drawn from winter workday ridership, to avoid reporting figures from when ridership is lower during the summer vacation season, and the same is true for daily ridership counts in France. If we give Sweden and France credit by looking at ridership when people aren’t on vacation, we must compare the cost per rider with GDP per capita and not GDP per hour.
The upshot is that countries should be building metros up to a maximum capital cost per rider that’s about as large as their GDP per capita. The $24,900 computation for 1960s’ Sweden is ex post, and usually the ex ante benefit-cost ratio must be at least 1.2 or 1.3 for the project to go ahead due to risk. For light rail the allowable cost should be lower, and for bus projects it should be lower still, due to the higher lifetime operating costs; but for metros and metro-like urban rail projects (such as largely grade-separated light rail, or commuter rail tunnels like Citybanan), this analysis should hold. Second Avenue Subway Phase 1, which opened in a United States with a GDP of $73,300/capita in 2023 prices, is thus very cost-effective; Phase 2, budgeted at something like $70,000/rider in today’s prices, is marginal but makes it (in 2022, US GDP per capita in 2023 prices was $80,300).
Some more costs per rider
Our database of construction costs per km is largely complete, but we don’t have much ridership data. Worse, the costs per rider we do have have some biases. We have better information for the US and Canada than elsewhere, and for Europe than the rest of the non-North American world. Costs are also likeliest to be reported for megaprojects with notable delays or cost overruns and thus an incomplete database will be biased upward; large, international cities have better reporting in English than the rest and this introduces another upward bias in incomplete data (these are typically wealthy and therefore capable of affording a high cost per rider).
With that in mind, here are some (again, incomplete) examples:
- Crossrail cost $24 billion in 2023 PPP terms; ridership in late 2023 was 4.3 million a week, which is usually about 700,000/weekday, said to be above projections, with long-term projections rising to a million/weekday; on current ridership it’s $34,000/rider, and on future projections it’s $24,000.
- Paris Métro Line 14’s original section, opened by 2007, cost $2.44 billion in 2023 PPP terms; ridership in 2019, before more recent extensions and before corona, was 92 million, so around 320,000 per workday, which is $7,600/rider.
- Grand Paris Express was projected in 2021 to cost (in 2023 PPP dollars) around $65 billion, with a ridership projection of 2 million/day from 2022, and 2.3-2.4 million/day from 2012, for around $32,000/rider, or $28,000 if the older ridership projection is used.
- Milan Metro Line 5 cost $2.2 billion in 2023 PPP terms to date, and was said to carry 180,000 daily passengers in 2019, for $12,000/rider.
- Milan Metro Line 4 cost $2.63 billion, and was expected to carry 235,000 riders per day when complete, which would be $11,000/rider; it will be completed this year, but ridership so far is for only the half of the line that has opened so far ans is also still somewhat suffering from corona.
- The U-Bahn extensions in Berlin that are currently in development hell include U8 to Märkisches Viertel projected at 13,160€/rider (around $21,000 in 2023 PPP terms), a U6 extension to the former Tegel Airport projected at 27,200€/rider (around $43,000), and a U7 extension to the current BER airport projected at 23,000€/rider (around $36,000), among others brought up by the new coalition.
Willingness to build and Berlin’s problem
The above numbers should not be taken to mean that Italy and Germany are more cost-effective about metro construction. To the contrary, they indicate that they are leaving value on the table by not building.
Germany has a GDP per capita of $66,000 in PPP terms. The benefit-cost ratios of the U-Bahn extensions in Berlin that are being discussed but not actually brought forward and built are very high, and the U8 extension to Märkisches Viertel is scratching a ratio of 4. It is irresponsible that there isn’t a massive construction plan not just under discussion but in design and soon physical construction. This must include not just those lines but also others to be added until the benefit-cost ratio of the marginal line falls to slightly more than the minimum that deserves funding.
Italy has the same problem. No matter how pessimistic one’s view of the future of the economy of Italy is, the metro lines it is currently building, at least in Milan, are so cost-effective that there have to be more of them. In the 2010s, Italy was in a budget crunch and ended up using public-private partnerships to keep debt off-books, at very high implied interest rate based on the rate of payment to the concessionaire, about 8%. Today, fundamentally, even a stagnant economy with a GDP per capita of $55,000, which may finally overtake its 2007 peak this year, should be building more if the current extensive margin of Milan Metro construction is not even in the teens of thousands of dollars. Perhaps the benefit-cost ratios for Sweden rely not just on Sweden’s GDP per capita of the 1960s but on that of today, after 60 years of growth; but then even absent any of this growth, 55/3.5 > 12.
Paris showcases a healthier situation: the success of M14 endeared the region to driverless metros with longer interstations than the older metro lines but shorter ones than the RER, and with further growth in the region, the state decided to build the 200 km Grand Paris Express to improve circumferential rail service and add more fast radial connections from the suburbs to the city not along the RER. France’s GDP per capita is around $58,000 in PPP dollars; some elements of GPE may be marginal, but the project writ large has a solid benefit-cost-ratio starting with a 2.
Spain is like France in that when it can build, as it could before the Great Recession and as it can now after having recovered, it does. This is the right way to do it: low costs per km should translate to massive subway expansion. If you’re Madrid, you can build lines that would be completely ridiculous anywhere else in terms of land use, like MetroSur, because it’s cheap.
A Paris or Berlin cannot be so profligate as Madrid. Building a line like MetroSur here, which in the Spanish context looks silly but does pass cost-effectiveness muster, would be an economic albatross. But medium-cost cities can still cover most of the built-up area with subway and commuter rail lines; Paris is doing so but Berlin is not.
The problem for Berlin is not quite austerity, which afflicted Southern Europe last decade, producing negative economic growth. In the last coalition, it was the two most left-wing parties, the Greens and Die Linke, which opposed U-Bahn construction. In their view, trams are preferable; they complain about the high construction costs of subways, but don’t meaningfully engage with why they’re still necessary for fast urban transport beyond the range of the handful of inner neighborhoods where people vote for the Greens.
That said, in the current coalition, there’s no real political left. SPD is in it, but under an atypically conservative leader in Franziska Giffey, and the more left-wing faction in the party, including the youth league Jusos, is sidelined. Both parties in the coalition, CDU and SPD, are committed to building those U-Bahn extensions. But then nothing is happening; Giffey is not competent enough to do it, and CDU is too wrapped up in anti-environmental populism to do something that pisses off some environmentalists but makes others happy.
This way, the low costs per rider projected for Berlin U-Bahn expansion are not a testimony to cost-effectiveness. They’re a testimony to political unwillingness to build, for largely petty reasons. It is wasteful to build a subway line with a very high projected cost per rider relative to the country’s wealth, but it is equally wasteful not to build one with a low projected cost per rider, and the latter is what is happening in Berlin, unfortunately.





