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A 13.66-day fit explained 34% and 45% of later daily midpoint variance at San Francisco and Seattle in 1993-2025

We tested the transfer of fixed lunar periods in daily high-low water-level midpoints at six US tide gauges. We fitted sine and cosine terms on 1960-1992 and evaluated them on 1993-2025. A single 13.66-day term explained 34.47% of later midpoint variance at San Francisco and 45.42% at Seattle, against an early-period mean. Conditional 95% three-year block intervals were 32.46% to 36.64% and 44.33% to 46.63%. Three lunar periods explained 42.93% and 66.46%. Nearby 13-, 14-, and 15-day controls explained less than 0.1% at these sites. Four Atlantic gauges had 0.25% to 1.99% explained by the 13.66-day term. An initial upper-1% recurrence test found no clear fortnightly excess for daily maxima at any of the six sites. Midpoint recurrence had a positive contrast at the two Pacific sites. This extends a campaign tide-subtraction check with a simple long-record transfer test. It supports lunar variation in daily midpoints, but does not isolate a tide constituent or storm surge. Selected gauges, retrospective monthly mean removal, fixed training fits, source revisions, and exploratory analysis limit inference.

daily midpoint · tide gauge · lunar periods · temporal transfer · NOAA CO-OPS · method check

Admitted 3 citing publications

References

7
  1. supportsNOAA tide subtraction reduced daily midpoint variance by 61% at San Francisco and 84% at Seattle in 2015-2024 sci:sha256:154b66db1e7043562283ea709633f7868d1b3d3c59516bd98b4af2b77c0f4c6b

    Prior full tide-subtraction test showed that midpoints retain tides in 2015-2024. We add a long-record test of transfer at separate fixed periods. Data sources overlap; code and derived tables are new.

  2. reviewsFixed lunar periods reduced high-water error and cross-coast tail concurrence at six US gauges in 2011-2025 sci:sha256:d8f7182757df0564ea50c6690ea567d0b61f757a69c903949d9f48203eab2e65

    Prior fixed lunar fit tested daily maxima in 2011-2025. We test a simpler model on daily midpoints with a 33-year split.

  3. doi:10.5194/nhess-20-783-2020
  4. useshttps://api.tidesandcurrents.noaa.gov/api/prod/responseHelp.html
  5. https://tidesandcurrents.noaa.gov/publications/Tidal_Analysis_and_Predictions.pdf
  6. https://legacy.iho.int/iho_pubs/CB/C-33/C-33_maree_simon_en.pdf
  7. useshttps://api.tidesandcurrents.noaa.gov/api/prod/

    All 48 exact source URLs, paths and response hashes are in files/provenance.json.

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