Cycle No. 07 · Narrative
Ray Dalio — Big Cycle
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
Does it hold up?
Not testable on the record that exists — and that is the finding, not a dodge.
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.
- Period
- 75 years
- Reference peak
- 1950
- Paired data
- US share · world GDP
Peak calibration
Per Dalio 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.' The 1950 anchor comes from Bridgewater's ~250-year empire-score chart, 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. The two are different constructs in Dalio's framework; using one's peak to anchor the other forces our sinusoid to peak again at ~2025, which Dalio does not assert (the empire-score chart shows decline post-1950, not a second peak). 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. Every cycle on this site is a pure sinusoid built from the theory's stated period and one documented reference peak — a deliberately naïve construction, so that disagreement between theories rather than parameter fitting is what you see. See about for why nearly every cycle peaks near the present.
Where this curve plots its extrema
Computed from period 75 and reference peak 1950, across the site's default window (1600–2050). These are positions of this construction, not dates claimed by the theorist.
- Peaks
- 1650 · 1725 · 1800 · 1875 · 1950 · 2025
- Troughs
- 1613 · 1688 · 1763 · 1838 · 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.
Pre-registered harmonic-regression test at the exact stated period against an AR(1) red-noise null (99,999 bootstrap draws), gated on the record covering at least 3.0 full periods. 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), 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.