Cycle No. 07 · Narrative
Is Ray Dalio's Big Cycle peaking?
Ray Dalio · Does it hold up?
Not testable on the record that exists — and that is the finding, not a dodge.
This page draws one period of a wave around the peak year this site uses for Ray Dalio's cycle. It is not a forecast, and not evidence for or against the cycle.
The paired record (US Share of World GDP) runs 152 years: 2.0 of the 3.0 full periods this site requires before it will run a test on a 75-year claim. Roughly 73 more years of that measurement would reach the floor.
This is not a verdict about this theory in particular: 0 of the 9 paired constructions on this site clear that floor. Long-cycle claims are hard to test because the records are short, not because the theorists are careless.
75-year sinusoid US share · world GDP: the record the verdict counts, drawn below on its own scale. A shape that looks alike is not a test.
Big Cycle of imperial rise and fall: rising → top → declining → reset, tracked through debt, reserve-currency status, and internal order. Dalio puts long-term debt cycles at about 50–75 years; this curve uses 75, the top of his range. He also describes a longer ~250-year empire arc
- Period
- 75 years
- Reference peak
- 1950
- Paired data
- US share · world GDP
Peak calibration
Move the peak yourself: calibrate this cycle →
Dalio's empire-score chart shows US decline after 1950, not a second peak. At the published settings, the one period this site draws around that 1950 peak runs about 1913–1988, with no crest after it. The curve joins two different Dalio constructs. The 1950 anchor comes from Bridgewater's ~250-year empire-score chart (Ch. 5: 'these measures of the United States' powers relative to its own history reached their peaks in the 1950s immediately after the Allies won World War II'), while the 75-year period is this project's selection from the 'about 50 to 75 years' range Dalio states for long-term debt cycles - he does not assert 75 specifically. Joining them into one sine wave is this site's choice, not Dalio's. Treat this curve as a forced single-cycle reduction of two stacked Dalio cycles. Separately, our paired data (US share of world GDP) peaks at 1945 because of war-production effects; the cycle and the data deliberately differ by ~5 years, reflecting the difference between Dalio's composite empire score and a single GDP-share series.
Confidence classification: Narrative — an interpretive reading of history — no statistical fitting behind the period. It grades the theorist's own evidence for the period; a paired data series is a separate comparison this site added. Every cycle on this site is drawn as at most one period of a pure sinusoid, cut at today where that period has not ended yet, built from one documented period and one documented reference peak, each taken from the theory or, where it gives none, chosen by this site — a deliberately naïve construction, so that disagreement between theories rather than parameter fitting is what you see. See about for why this site draws each cycle once, not as a repeating wave.
Where this curve plots its extrema
Computed from period 75 and reference peak 1950, over the one period this site draws (1913–1988). These are positions of this construction, not dates claimed by the theorist.
- Peaks
- 1950
- Troughs
- 1913 · 1988
Paired data series
US Share of World GDP
% of world GDPUS GDP as share of all-countries GDP in the Maddison Project Database (2011 PPP $); trimmed to 1870+ (earlier years have too-sparse country coverage, and the covered-country denominator keeps growing after 1870 - see methods). Upstream country estimates reach back to year 1; this project uses 1870–2022
Why this pairingImperial-arc proxy. The data peaks at 1945 at ~32% of world GDP (war-production driven); Dalio's composite empire-score peaks ~1950 by his own statement, so the cycle and the data deliberately differ by ~5 years.
- Source
- Maddison Project Database 2023 (Bolt & van Zanden, 2024, J. Econ. Surveys, DOI 10.1111/joes.12618)
- License
- CC BY 4.0
Spectral verdict
Insufficient data — no test possible · 2.0 of 3.0 required periods
The US Share of World GDP record spans 152 years — 2.0 of the 3.0 full periods this site requires before testing a 75-year claim. No test was run and no p-value exists: the honest verdict is that the record is too short to test the claim at all.
“Insufficient data” is an eligibility outcome under the site's pre-registered 3.0-period rule - the test is declined, not failed - and is not evidence for or against the theory.
This pairing has no p-value. Separately, this site's secondary cross-grid panel borrows a theory's period and sets it against a record that theory is not paired with, so none of its re-pairings is this theory's own claim. Its 75-year period was set against 1 other record long enough for the 3.0-period rule: US Liberal Democracy Index (V-Dem) (lowest p 0.149). This page's record, US Share of World GDP, was set against 2 other theories' periods: Schlesinger Jr.'s 30 years and Turchin's 50 years (lowest p 0.137). None of these 3 reached p < 0.05 under either noise model. All 19 re-pairings, cell by cell →
Target period 75 years · Insufficient data — no test possible · 2.0 of 3.0 required periods
Swipe sideways for the whole figure
Wider than this window: use the arrows at its edges to see the rest, or click it to open it full size
No test was run: this record covers 2.0 of the 3.0 full periods the pre-registered test requires, so the spectrum in the figure is descriptive only. Had the record qualified, the test would be a harmonic regression at the exact stated period against an AR(1) red-noise null (99,999 bootstrap draws). Read the protocol under spectral testing on the methods page, or fetch the machine-readable verdicts.json.
Reuse this
Kooi, D. (2026). Sinusoidal History: Ray Dalio — Big Cycle. https://sinusoidalhistory.com/cycles/dalio · DOI 10.5281/zenodo.21998618. Paired data series: US Share of World GDP (Maddison Project Database 2023 (Bolt & van Zanden, 2024, J. Econ. Surveys)), CC BY 4.0.
Our code and the original chart files are MIT-licensed as our own work. The plotted data stay under their upstream terms, listed above: CC BY series carry their attribution requirement with them, and a series with no explicit license is shown here without any grant we can pass on. Reuse our figures and code with attribution; honour the data terms for the plotted series.
Open this cycle in the interactive chart to calibrate its peak and period against the data, or compare it with the other nine on one axis.