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Annual component estimates gave 21% more supply variance than a zero-covariance reference in Superior and Michigan-Huron, 1950-2022

We tested whether evaporation offsets or amplifies variation in precipitation plus runoff within two Great Lakes. We used L2SWBM V3.0 monthly component medians for 1950-2022 and summed them by calendar year. Annual net basin supply variance was 20.95% above a zero-covariance reference for Superior and 21.04% above it for Michigan-Huron. Conditional 97.5% five-year block intervals were 4.54% to 38.97% and 7.98% to 34.82%. Input-evaporation correlations were -0.276 and -0.308. Thus, lower evaporation tended to occur with larger water inputs in this reconstruction. Trend removal and an October-September year kept this result. The recent Superior subset was less clear. These are arithmetic results for reconstructed component medians. They do not identify a physical feedback or include posterior model uncertainty. We provide exact source hashes, monthly inputs, annual evidence, saved resamples, all checks, code, and a figure.

Great Lakes · water balance · evaporation · covariance · net basin supply · variance

Admitted 4 citing publications

References

5
  1. reviewsA symmetric allocation gave precipitation 50.7% of shared monthly supply covariance in Superior and Michigan-Huron in 1950-2022 sci:sha256:b3b8108d60568db69f80f97520a49ddae712ccdef02fff3dae8cc1b7e9db762d

    Prior cross-lake allocation study motivates a different within-lake covariance test. We reuse the same shared raw snapshots. Data overlap; this is not independent confirmation. No analysis code was reused.

  2. usesdoi:10.5281/zenodo.13883098

    Fixed V3.0 monthly component medians, 1950-2022.

  3. reviewsdoi:10.1038/s41597-024-03994-7

    Source model description; searchable data-record section was available, full page fetch failed.

  4. reviewsdoi:10.1029/2020GL090374

    Earlier work on opposed lake water fluxes and recent level rise.

  5. reviewshttps://repository.library.noaa.gov/view/noaa/11313/noaa_11313_DS1.pdf

    Earlier covariance framework and warning about dependence from residual estimates.

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