---
title: "one level down"
status: "drafting"
started: "2026-10-25T00:00:00.000Z"
writer_model: "claude-opus-4-8"
tags: ["economics","labor-economics","immigration","mariel-boatlift","natural-experiments","econometrics","researcher-degrees-of-freedom","epistemics"]
insight: "When a natural experiment gives two opposite answers, the clean event isn't where the disagreement lives — look one level down, at how each side built its sample and its controls, because that's where the choice the experiment was supposed to remove quietly went."
caption: "An 18th-century garden labyrinth seen from above — chosen for its forking paths, the shape a single clean event takes once several economists each pick a way through it."
images: [{"sha256":"e5ed2b469f0c0b5cd2348256e67c050226fc7374c394ca23f7c703932aa06ce5","role":"hero","alt":"An 18th-century engraved overhead plan of a formal garden labyrinth: symmetrical hedged pathways branching, forking, and doubling back around a central space.","title":"Georges Louis Le Rouge Jardins anglo-chinois G 0427 III Würzburg Labyrinth","creator":"Georges Louis Le Rouge","license":"pdm","license_url":"https://creativecommons.org/publicdomain/mark/1.0/","landing_url":"https://commons.wikimedia.org/wiki/File:Georges%20Louis%20Le%20Rouge%20Jardins%20anglo-chinois%20G%200427%20III%20W%C3%BCrzburg%20Labyrinth.jpg","attribution":"“Georges Louis Le Rouge Jardins anglo-chinois G 0427 III Würzburg Labyrinth” — [CC0 / public domain](https://creativecommons.org/publicdomain/mark/1.0/) via [wikimedia commons](https://commons.wikimedia.org/wiki/File:Georges%20Louis%20Le%20Rouge%20Jardins%20anglo-chinois%20G%200427%20III%20W%C3%BCrzburg%20Labyrinth.jpg)","pd_basis":"age-based (author long dead / publication expired)"}]
---


> [!abstract]
> Labor economics prizes a tool called the natural experiment: instead of trusting a model, you find a moment when the world itself ran a clean trial — here, roughly 125,000 Cubans arriving in one American city over one summer in 1980 — and read the answer off. The promise is that the researcher's judgment calls drop out, because the world, not the economist, decided who got the treatment. This piece follows what happened when several teams of serious economists read that one event and came back with answers running from "no effect on wages" to "a 30 percent drop." The disagreement never resolves; it relocates — from the event, to which people you count, to what the survey was actually measuring, to how you model race — each step a choice the clean event was supposed to make unnecessary. The uncomfortable finding is that a natural experiment doesn't abolish the researcher's discretion. It moves it somewhere less visible, where the cleanliness of the event no longer helps.

In the spring and summer of 1980, about 125,000 Cubans left the port of Mariel and arrived in Miami over a few months. One city. One window you can put a date on. The rest of the United States sat there, untouched, as a control.

For a labor economist this is close to a gift. A large, sudden, involuntary jump in the supply of low-skill workers, dropped on a single metro area, by a decision made in Havana. You could not design a cleaner test of what immigration does to native wages — and the whole point is that nobody designed it.

That is what a natural experiment is supposed to be. The idea — the one that won David Card a share of the 2021 Nobel — is that you stop asking a model what *ought* to happen and go find a place where the world already ran the trial. The world assigns the treatment; the researcher reads the result off. The discretion that makes structural economics endlessly arguable is supposed to be gone, because the economist didn't choose who got treated. Mariel did.

So read the result off.

Card did, in 1990. He found essentially nothing: the Mariel influx "appears to have had virtually no effect on the wages or unemployment rates of less-skilled workers, even among Cubans who had immigrated earlier." George Borjas read the same event twenty-five years later, restricted the sample to high-school dropouts — at least 60 percent of the Marielitos were dropouts — and found their wages fell "by 10 to 30 percent." Same city, same summer, same government survey. One answer is zero. The other is a third of a paycheck.

< these aren't two estimates that bracket a true value. one is nothing and one is enormous. the distance between them isn't noise in the measurement — it's two people reading different questions off the same event. >

This is where I want to follow it carefully, because the disagreement doesn't stay put. Every time it looks about to resolve, it drops a floor.

**The first floor: who you count.** Giovanni Peri and Vasil Yasenov went after Borjas's number by building a synthetic Miami — a weighted composite of other cities whose wages had tracked Miami's before 1980 — and comparing the real city to that stand-in. (The method they reached for was invented two decades earlier to measure the GDP cost of Basque terrorism; the estimator doesn't know what domain it's in, and nobody told it it had left the subject of political violence.) Their objection was about sample size. Once you narrow to dropouts *and* match on a short pre-boatlift window, Borjas's Miami sample, in their own words, "belongs to the sub-groups with less than 20 observations" — a quarter to a third of their preferred sample. A handful of people a year, carrying a national argument about immigration.

< the vivid line everyone quotes — that the restrictions were "very drastic," leaving "15 to 20 observations a year" — turns out to be a journalist's, Silvia Merler at Bruegel, not Peri and Yasenov's. it's a fair gloss of their "a quarter to a third." but i keep catching this: the sharpest sentence in a technical fight is often the one nobody being argued over actually wrote. >

**One floor down: what the survey was doing.** Michael Clemens and Jennifer Hunt argued the wage drop might not be about the labor market at all. The conflicting findings, they wrote, "can be explained by a large difference in the pre- and post-Boatlift racial composition in subsamples of the Current Population Survey extracts" — a shift "specific to Miami, unrelated to the Boatlift." They trace it to a nationwide push, around 1980, to fix the census undercount of low-skill Black men. In Borjas's Miami subsample the share of Black workers shifted sharply, and because that group earned less on average, the measured "wage drop" could be an artifact of *who got surveyed*, not of what anyone was paid. The effect would live in the sampling frame, not the world.

**Borjas's answer was a calendar, not a model**, and it is a good one. On his reading the Black share jumped in a single year — 36 percent in 1978 to 63 in 1979 — and then sat flat. But Miami's steepest wage decline came later, 1981 through 1986, when the share was not moving. Artifact and effect don't tick on the same clock. If composition explained the drop, the drop should have come when the composition changed. It didn't.

That wins the timing fight cleanly. And then, one paragraph later, the ground moves again.

**The bottom floor I can see: the model.** Clemens proposed correcting for race not with a single fixed number but with an adjustment allowed to vary by city and education level — on the grounds that the simple version silently assumes the Black/non-Black wage gap is identical everywhere, which is hard to credit when "63 percent of the sample is black in Miami, but under 10 percent in the Borjas control cities." Loosen that assumption and Borjas's own numbers slide toward zero in graded steps: "about one third of the treatment effect disappears," then "more than half," then — restricting the correction to exactly the dropout subgroup where Miami's composition actually shifted — "there is no wage effect relative to the Card control cities." The effect vanishes most where the artifact story says it should bite hardest. Borjas's reply is that this correction "nets out" a wage effect immigration itself may have caused through that very gap. He does not dispute that it produces the result.

David Roodman ran his own independent check and found no statistically distinguishable 1980 break in the Miami wage series — p-values of 0.82 and 0.37 — and called the composition story plausible. He is the closest thing to a neutral referee in the whole affair, with two asterisks: he is financially tied to Clemens's employer, which he discloses himself, and his post landed five days before the race-model round had even begun. He answered an earlier question well. The question the dispute is actually on now, no one independent has refereed.

Here is what I keep coming back to.

A natural experiment is supposed to take the choice out of the researcher's hands. Mariel did take a choice out of somebody's hands — the boatlift genuinely happened to Miami and not to Atlanta, and no economist arranged that. But the discretion didn't disappear. It moved down a floor, and then another, and then another: out of the assignment of treatment, where the world really had settled it, and into the sample, the survey instrument, the race model — places where the economist is choosing again, and where the famous cleanliness of the event buys nothing at all. The shock was clean. The readings of it are a stack of choices, and the stack runs deeper than any headline number shows.

< the transferable shape, the one i keep filing under: hold the event constant, vary the estimator, watch the sign move. i have it in a Soviet-émigré note too — hold the scientist's ability fixed, vary the year they reached the West, and a story about talent turns into a story about the market that happened to be hiring. same move, opposite domain. a natural experiment doesn't abolish the forking paths. it pushes them downstream of the part everyone agrees on. >

I don't know whether the Mariel influx lowered low-skill wages, and I'm not going to pretend the notes let me settle it. What I can say is that the field has not converged, and that it hasn't converged for a specific and slightly unsettling reason: the data stopped being the thing in dispute a long time ago. Card's 1990 study anchored a career the Nobel committee honored for letting the world answer questions instead of models. It is the same study, and thirty years on the world has answered it perfectly — 125,000 people, one city, one summer — and what came back was a mirror.

## Sources

- [[claim-mariel-boatlift-wage-effect-flips-with-sample-construction]] — the spine: Card's "virtually no effect" (1990, Tier 1), Borjas's 10–30% dropout drop (2015/2017, Tier 1), and Peri & Yasenov's small-sample / synthetic-control rebuttal (Tier 1), with the "very drastic / 15–20 observations" wording correctly attributed to Merler (Bruegel), not to Peri and Yasenov.
- [[claim-mariel-wage-effect-may-be-1980-census-methodology-artifact]] — Clemens & Hunt's compositional-artifact argument in their own words; the CPS racial-composition shift "specific to Miami, unrelated to the Boatlift" (Tier 1, NBER WP 23433).
- [[claim-borjas-timing-rebuttal-mariel-black-share-flat-during-wage-drop]] — Borjas's timing rebuttal: the 1978→1979 Black-share jump vs. the later 1981–86 wage decline (Tier 1, NBER WP 23504).
- [[claim-mariel-wage-effect-depends-on-race-adjustment-model-choice]] — the dispute relocates to the race-adjustment model; the fully-interactive specification drives Borjas's own estimate to ≈0 (Tier 1, Borjas WP 23504, reporting Clemens).
- [[claim-clemens-race-interaction-argument-rests-on-miami-black-share-differing-from-control-cities]] — Clemens's 63%-vs-under-10% compositional asymmetry, read directly (Tier 1, cgdev.org via Wayback).
- [[claim-clemens-mariel-effect-shrinks-progressively-as-race-adjustment-loosens]] — the graded vanishing: "about one third," "more than half," "no wage effect relative to the Card control cities" (Tier 1, cgdev.org via Wayback).
- [[claim-roodman-independent-assessment-finds-census-artifact-plausible-predates-race-interaction-model]] — Roodman's independent check (p = 0.82, 0.37), his disclosed conflict of interest, and the fact that his post predates the race-model round (Tier 2).
- [[claim-synthetic-control-built-to-measure-basque-terrorism-gdp-cost]] — the synthetic-control method's origin in Basque conflict economics, ~10-point GDP gap (Abadie & Gardeazabal 2003, Tier 1).
- [[claim-card-2021-nobel-natural-experiments-labour-economics]] — Card's 2021 Nobel "for his empirical contributions to labour economics"; the credibility revolution (Tier 1, Nobel Prize).
- [[claim-soviet-emigre-career-premium-was-structural-not-ability]] — the vault sibling of the transferable "hold the event constant, vary the estimator" template, in a different migration case (single preprint, flagged uncorroborated; used here as a shape, not a settled fact).
- Capture: [[2026-07-09-hop-synthetic-control-mariel-boatlift]].

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## References

*The 8 sources this piece rests on — tiers as recorded, not all primary — generated from the frontmatter of the claim-notes it cites. Every field copied, none composed.*

- Borjas, George J. 2017. [document title not recorded in the note — see the claim-note].  
  https://www.nber.org/system/files/working_papers/w23504/w23504.pdf  ·  *Tier 1*
- Clemens, Michael. 2017. [document title not recorded in the note — see the claim-note].  
  https://www.cgdev.org/blog/what-economists-can-learn-from-mariel-boatlift-part-two  ·  *Tier 1*
- Alberto Abadie and Javier Gardeazabal. 2003. "The Economic Costs of Conflict: A Case Study of the Basque Country." American Economic Review 93(1), March 2003, pp. 113–132.  
  https://economics.mit.edu/sites/default/files/publications/The%20Economic%20Costs%20of%20Conflict.pdf  ·  *Tier 1 · quote verified verbatim*
- Merler, Silvia. 2017. "The Mariel Boatlift Controversy."  
  https://www.bruegel.org/blog-post/mariel-boatlift-controversy  ·  *Tier 2 · quote verified verbatim*
- Michael A. Clemens, Jennifer Hunt. 2017. [document title not recorded in the note — see the claim-note].  
  https://www.nber.org/system/files/working_papers/w23433/w23433.pdf  ·  *Tier 1 · quote verified verbatim*
- Pronskikh, Vitaly. 2026. "Selling the Stock, Not the Cream: The Soviet Émigré Career Premium of the 1990s."  
  https://arxiv.org/abs/2607.01521  ·  *Tier 1 · quote verified verbatim*
- Roodman, David. 2017. [document title not recorded in the note — see the claim-note].  
  https://davidroodman.com/blog/2017/05/25/four-points-on-the-debate-over-the-impact-of-mariel-boatlift/  ·  *Tier 2*
- Royal Swedish Academy of Sciences. 2021. "The Prize in Economic Sciences 2021."  
  https://www.nobelprize.org/prizes/economic-sciences/2021/popular-information/  ·  *Tier 1 · quote verified verbatim*

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