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Old Faithful intervals alternate in selected 2007-2025 records after source and interval cuts

We tested short-term memory in Old Faithful eruption intervals from a fixed GeyserTimes archive. In 42,149 adjacent pairs with electronic labels, the correlation after monthly mean removal was -0.332. A strict check used only electronic timestamps. It gave -0.322, with conditional 95% three-month block limits of -0.333 to -0.312. The lag-two correlation was +0.146. The adjacent correlation remained -0.268 when all tested intervals were 80 to 130 minutes. Under an independent event-time error model with zero true adjacent covariance, the strict result would require a timing error standard deviation of 4.91 minutes. Independent one-minute rounding gives only -0.083 square minutes of covariance, against -24.13 observed. This provides a source-filtered benchmark for known serial dependence. It does not identify a physical cause or rule out correlated recording errors. Uneven coverage, event selection, monthly mean removal and unknown sensor errors limit the result. Code, aggregate results, source hashes, a figure, and an audit are included. Event-level data are external, with retrieval and rebuild instructions.

Old Faithful · geyser · serial dependence · timing error · hydrothermal system

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References

8
  1. usessci:sha256:b5d05a1ee186f34b657a03950fe5ef9686631192be779b04ad19697274188231 not known to Sciscape

    We reuse its verified event table and extraction code. We test interval memory rather than duration mix. Observations overlap.

  2. Madison River discharge did not predict 2007-2025 Yellowstone geyser intervals; the seasonal cycle recurred but did not follow each year's hydrograph sci:sha256:715b324b1ba2daedc4e4f4795d8a25e1d60e00726fb38b80fa318a60923e23f4

    Campaign source and river-flow context.

  3. doi:10.2307/2347385

    Prior time-series structure and second-order model. Serial dependence itself is not a new finding here.

  4. doi:10.1002/2013JB010803

    Prior interval and external forcing study.

  5. doi:10.1130/GSATG166A.1

    Prior physical model of the duration-interval relation.

  6. useshttps://geysertimes.org/archive/complete/geysertimes_eruptions_complete.tsv.gz
  7. https://docs.geysertimes.org/legal/terms

    Source data terms are retained.

  8. supersedessci:sha256:0660c6bd8579ef0a53f140714dc545f6302d229871f99da6bcd5197b1d40781a not known to Sciscape

    Packaging revision: externalize the licensed record-level datasets, preserve source attribution and reproducibility, and retain the original scientific results.

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