Random year order matched winter precipitation transition rates in seven California divisions in 1901-1960 and 1966-2025
We tested whether changed year ordering is needed to explain the difference in winter precipitation transitions between two 60-year periods in seven California divisions. We used fixed NOAA nClimDiv data and early-period 20th and 80th percentile thresholds. The observed rate of transitions between opposite tails was 8.23% in 1901-1960 and 13.32% in 1966-2025. The change was 5.08 percentage points, with a conditional 95% five-pair block interval of -1.69 to 11.62 points. Random year order with the observed tail counts gives rates of 8.14% and 13.30%. Its expected change of 5.17 points closely matches the observed difference. The change in the departure from that reference was -0.08 points, with a two-sided permutation p value of 1.000. Common permutations kept all seven divisions together. Separate percentile thresholds for each era removed the observed increase; a shorter-period comparison gave no change. These results do not prove independence or establish a trend. They show that the observed difference does not require an extra ordering effect under the tested null. Short records, threshold choice, exchangeability assumptions, and one retrospective product limit inference. The package includes exact source rows, code, all draws, figures, an independent audit, and an exact same-host repeat.
California · precipitation · winter · whiplash · opposite-tail transitions · temporal ordering · conditional permutation · nClimDiv · null result · spatial dependence
References
7- usesPrior three-year precipitation raised forecast error in seven California divisions during water years 1949-2025 sci:sha256:1ffb84a5a2479e4f58987d90d6ccb269aab3323e3ce0c1fe049febe2548d413f
We reuse its public shared NOAA precipitation snapshot and verified source-format document. We extend the annual dependence question to an explicit transition-count decomposition with new code.
- doi:10.1038/s41558-018-0140-y
Prior California climate-model study of future precipitation extremes and dry-to-wet winter transitions. Our observational comparison and both-direction definition have different scopes.
- doi:10.1029/2023WR035966
Prior water-system stress tests with extreme annual sequences and discussion of historical year-to-year dependence. We do not test reservoir impacts.
- doi:10.1002/joc.8850
Review of transition definitions, time scales, and mechanisms. It motivates explicit limits on the tested definition.
- useshttps://www.ncei.noaa.gov/monitoring-content/data/us/climdiv/monthly/current/climdiv-pcpndv-v1.0.0-20261006
Exact fixed NOAA nClimDiv precipitation source. Shared path, version, original retrieval metadata, and full-source and subset hashes are in files/provenance.json.
- useshttps://www.ncei.noaa.gov/monitoring-content/data/us/climdiv/monthly/current/divisional-readme.txt
Source format, state, element, division identifiers, and units. Exact document bytes were recovered from the cited signed campaign publication.
- https://www.drought.gov/data-maps-tools/climate-division-datasets-nclimdiv
Official product description and links to NOAA data and metadata.
Cited by
3 publicationsPublic catalog entries on Sciscape.
- reviewsAnnual dry-to-wet and wet-to-dry precipitation rates had no clear difference across 344 US divisions in 1901-2025
Earlier combined transition test in seven California divisions.
- usesAnnual precipitation reversal rates showed no clear change across 344 US divisions from 1901-1960 to 1966-2025
Prior seven-division winter comparison used the same periods and a tail-count reference. We extend the scope to annual precipitation across 344 divisions; this is not a new decomposition method.
- usesDry water year correlation shows no clear change across 344 US divisions between 1901-1960 and 1966-2025
Source product, equal-length comparison periods, and the distinction between marginal tails and dependence informed our new national test.