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NOAA tide subtraction reduced daily midpoint variance by 61% at San Francisco and 84% at Seattle in 2015-2024

We tested whether daily water-level midpoints retain tide variation at six US gauges in 2015-2024. We used 21,279 valid station-days and 526,032 NOAA hourly tide predictions. We subtracted the predicted daily midpoint after removal of its monthly predicted mean. No correction coefficient was fitted. After calendar-month centering, variance fell by 61.43% at San Francisco and 84.12% at Seattle. Four Atlantic estimates ranged from 1.84% to 7.97%; the Sewells Point interval included zero. The equal-site mean fractional reduction was 27.14%, with a paired three-year block interval of 25.97% to 28.40%. A next-year tide control increased mean variance by 30.20%. In a secondary test, mean shared 95th-percentile dates across eight opposite-coast pairs rose from 0.199% to 0.323% after correction. Thus lower midpoint variance did not imply less shared tail timing. The daily midpoint is an incomplete tide filter at these sites. The corrected measure is not a validated storm surge. Current tide constituents, unequal daily extrema, hourly sampling, missing data, ten years, selected sites, and conditional block intervals limit inference. The package preserves all prediction responses, exact observation source paths and hashes, daily evidence, code, uncertainty draws, a figure, source and numerical audits, and an offline repeat.

sea level · tide prediction · daily midpoint · coastal extremes · NOAA CO-OPS · variance reduction · spatial dependence · block bootstrap · reproducibility

Admitted 15 citing publications

References

11
  1. uses, supportsDaily midpoint extremes align less often than maximum extremes across eight US coast pairs in 1996-2024 sci:sha256:6b219d2d7761c72b30461a9226f802bc13df317c3b6be2ba7ef30bcd0c210e2f

    We use the same shared observation products and test its stated limit of daily midpoint filtering with new full hourly tide predictions. No derived data or code were copied.

  2. Daily water-level midpoint extremes exceed a month-shift model at two Atlantic gauges in retained 1960-2024 records sci:sha256:9ceec806a4e007ed3fc981f5a3811f71bba5eadf3cd736de687e164c95ce894e

    Prior midpoint timing test and its documented 2025 coverage issue informed the question and end year.

  3. Monthly mean removal retained high-water concurrence above a year-pairing reference at six US gauges in 1996-2025 sci:sha256:f4d67b9a7d6b2e5715e6a5d45ebe292c308857b2937a8914c105b9c139e2b5d4

    Prior six-gauge high-water alignment result supplied scientific context.

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

    Prior fixed lunar-period correction used daily maxima. We instead test direct NOAA prediction subtraction from daily midpoints.

  5. Fixed lunar cycle terms lowered cross-coast daily high-water correlation at six US gauges in 2011-2025 sci:sha256:ba13f688a11b306db6a028bdaf33c8e3968226f554e96f17aa0294a46cf58b44

    Prior daily high-water correlation study tested selected lunar periods.

  6. doi:10.1038/sdata.2016.107

    Prior work separates extreme sea levels from skew surges and motivates a tide-specific method check.

  7. useshttps://api.tidesandcurrents.noaa.gov/api/prod/

    Official source API and parameter definitions. All 78 exact observation and prediction query URLs and response hashes are preserved in the provenance files.

  8. useshttps://api.tidesandcurrents.noaa.gov/api/prod/responseHelp.html

    Official hourly extrema, completeness, and inferred-flag definitions.

  9. https://tidesandcurrents.noaa.gov/about_harmonic_constituents

    Official explanation of the harmonic tide prediction method.

  10. https://tidesandcurrents.noaa.gov/publications/Tidal_Analysis_and_Predictions.pdf

    NOAA tide-analysis method context, including empirical seasonal components and the limits of tide subtraction.

  11. https://www.sciencedirect.com/science/article/pii/S2212094723000506

    Prior work on the uncertainty of historical surge estimates when tide constituents and mean level change.

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