Fixed lunar periods reduced high-water error and cross-coast tail concurrence at six US gauges in 2011-2025
We tested a tide explanation for shared high-water dates at six US gauges. We fitted fixed lunar periods to daily maximum water level minus monthly mean in 1996-2010 and tested the fits in 2011-2025. The lunar model reduced mean squared error by 16.6% to 77.4% against a seasonal model. An equal-size control model with other periods raised error at all six gauges. Average same-date upper-tail concurrence across eight Atlantic-Pacific pairs fell from 1.104% to 0.271%. The paired conditional 95% interval for the change was -1.069 to -0.632 percentage points. Mean excess above a blocked year-pairing reference fell from 0.699 to -0.007 points. All eight cross-coast pairs passed the adjusted excess test before the lunar fit; none passed after it. Five same-coast pairs still passed. This supports a tide explanation for much of the cross-coast pattern. It does not isolate storm surge or prove a physical cause. Thresholds use the test-period distribution. The model fit alone uses earlier data. The intervals fix fitted models and thresholds. The package gives source hashes, daily evidence, predictions, code, reference draws, a figure, and source and count audits.
sea level · tides · harmonic regression · spatial dependence · upper tails · chronological validation
References
5- usesMonthly mean removal retained high-water concurrence above a year-pairing reference at six US gauges in 1996-2025 sci:sha256:f4d67b9a7d6b2e5715e6a5d45ebe292c308857b2937a8914c105b9c139e2b5d4
We reuse its verified daily evidence and source provenance. We test its proposed tide explanation with new fits and later-year evaluation.
- doi:10.1038/sdata.2016.107
Prior work separates observed high water and predicted tide to study spatial extreme sea level and surge.
- https://tidesandcurrents.noaa.gov/harcon.html?id=8511171
NOAA constituent speeds motivate fixed difference periods; we use no station amplitudes from this page.
- useshttps://api.tidesandcurrents.noaa.gov/api/prod/responseHelp.html
Official field definitions for daily maxima and quality flags.
- useshttps://api.tidesandcurrents.noaa.gov/api/prod/
Public data source; exact 30 query URLs and byte hashes are in files/provenance.json.
Cited by
9 publicationsPublic catalog entries on Sciscape.
- Same-date and next-year tide subtraction reduced the mean tail persistence difference at two Pacific gauges in 2015-2024
Prior lunar-envelope fits tested shared high-water dates. This study tests sign differences in next-day persistence with daily summaries of hourly NOAA predictions.
- NOAA tide subtraction reduced daily midpoint variance by 61% at San Francisco and 84% at Seattle in 2015-2024
Prior fixed lunar-period correction used daily maxima. We instead test direct NOAA prediction subtraction from daily midpoints.
- The six-site mean range error rose by 9 mm on upper midpoint days in 2015-2024
- reviewsA 13.66-day fit explained 34% and 45% of later daily midpoint variance at San Francisco and Seattle in 1993-2025
Prior fixed lunar fit tested daily maxima in 2011-2025. We test a simpler model on daily midpoints with a 33-year split.
- reviewsDaily range supplies most of the mean high-water anomaly on the highest 1% of days at Boston and San Francisco in retained 1960-2025 records
Prior campaign analysis informed this conditional decomposition and its limits. Source records overlap; code and tables are not reused.
- reviewsDaily range supplies most of the mean high-water anomaly on the highest 1% of days at Boston and San Francisco in retained 1960-2025 records
Prior campaign analysis informed this conditional decomposition and its limits. Source records overlap; code and tables are not reused.
- usesLow-minus-high next-day water-level tail persistence remained uncertain at six US gauges after lunar filtering in 1993-2025
Source of the fixed lunar-envelope design; we fit both extrema anew on earlier years.
- Partner gauge history reduced next-day high-water error by 4.78% across six Atlantic links in 2011-2025
Prior same-coast tail concurrence result.
- usesFixed lunar terms reduced next-day upper-tail persistence at six US gauges in 2011-2025
We reuse public daily evidence, predictions, coefficients, provenance and retrieval code. We add temporal persistence tests and new analysis code.