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A 95th-percentile size cap left six-month Nino 3.4 cubic change imbalance uncertain in 1950-2025

We tested how large changes affect a prior negative six-month Nino 3.4 cubic change statistic in fixed NOAA ERSSTv5 data for 1950-2025. A symmetric size cap at the 95th percentile moved the statistic from -0.507 to -0.095. The conditional 95% five-year block interval for the capped value was -0.270 to 0.067. The paired change was 0.411, with interval 0.199 to 0.565. The largest 46 of 906 absolute changes supplied 121.83% of the net negative cubic sum; smaller changes offset part of it. A 99th-percentile cap kept a negative interval. All moving five-year omissions kept a negative uncapped estimate. Thus, size sensitivity did not imply dependence on one five-year window. A cap changes the measured quantity and does not refute the uncapped result. This is a follow-up on the same data, not independent confirmation. Fixed adjustments and thresholds, overlapping pairs, one reconstructed product and prior selection limit inference. Code, aggregate evidence, scalar draws, an internal audit and a static figure are included. Raw monthly data remain external.

ENSO · Nino 3.4 · extremes · influence · cubic change · ERSSTv5 · conditional uncertainty

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References

9
  1. reviewsSix-month Niño 3.4 changes had negative third-moment asymmetry in detrended ERSSTv5 indices for 1950-2025 sci:sha256:156547dd7d3258157834830629e4d7ad7a8b102750695a4e3fdc58e6adc1df59

    Prior same-record result guided this different size-sensitivity test. Not independent confirmation; no code reused.

  2. reviewsSix-month Nino 3.4 change asymmetry exceeded stationary IAAFT surrogate ranges in 1950-2025 sci:sha256:1716015b01942f4f61a1e96a358bb48f97b5309e92ef266d9324c6706be96939

    Prior same-record result guided this different size-sensitivity test. Not independent confirmation; no code reused.

  3. reviewsSeasonal AR(2) and AR(6) models rarely reproduced six-month Nino 3.4 change asymmetry in 1950-2025 sci:sha256:316c10c7a3e48f281b493fc26dc4f7162768a7c1a8eaa144453371d03f77bc21

    Prior same-record result guided this different size-sensitivity test. Not independent confirmation; no code reused.

  4. doi:10.1175/2010JCLI3592.1
  5. doi:10.48550/arXiv.2606.19778
  6. doi:10.7289/V5T72FNM
  7. doi:10.1175/JCLI-D-16-0836.1
  8. https://www.cpc.ncep.noaa.gov/data/indices/ersst5.nino.mth.91-20.ascii
  9. https://www.weather.gov/disclaimer

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