Published August 20, 2026 | Version 0.3.3-candidate
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What a Finite Expected Spectrum Can Identify (unrefereed candidate)

Authors/Creators

Description

A bounded theorem and replayable package for exact expected-SFS identification, sharp calendar targets and folded-SFS estimands. This additive version repairs the PDF presentation and records a formula-first priority correction: Myers, Fefferman and Patterson (2008) already establish calendar/genetic-time separation, positive same-spectrum histories and exponential projection structure; Bhaskar and Song (2014) supply the finite Laplace coordinates, SFS bridge, scale equivalence and folded parity. The target-specific sharp-window synthesis is not presented as a first discovery. The result does not identify complete linked genomic laws or adjudicate the ancient human bottleneck. Producer replay, 120 tests and hostile controls establish bounded internal consistency, not unaffiliated reproduction, formal verification, specialist review or editorial peer review.

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Additional details

Cites
10.1016/j.tpb.2008.01.001 (DOI)
10.1214/14-AOS1264 (DOI)
10.1073/pnas.1503717112 (DOI)
10.1016/j.tpb.2014.12.002 (DOI)
10.1016/j.tpb.2018.11.004 (DOI)
10.1126/science.abq7487 (DOI)
Is new version of
10.5281/zenodo.21907269 (DOI)
Is supplement to
https://github.com/ipitchford/sfs-identifiability-audit/releases/tag/v0.3.3-candidate (URL)

References

  • Myers, S., Fefferman, C., & Patterson, N. (2008). Can one learn history from the allelic spectrum? Theoretical Population Biology, 73(3), 342–348. https://doi.org/10.1016/j.tpb.2008.01.001
  • Bhaskar, A., & Song, Y. S. (2014). Descartes' rule of signs and the identifiability of population demographic models from genomic variation data. Annals of Statistics, 42(6), 2469–2493. https://doi.org/10.1214/14-AOS1264
  • Terhorst, J., & Song, Y. S. (2015). Fundamental limits on the accuracy of demographic inference based on the sample frequency spectrum. PNAS, 112(25), 7677–7682. https://doi.org/10.1073/pnas.1503717112
  • Kim, J., Mossel, E., Rácz, M. Z., & Ross, N. (2015). Can one learn a population's history from its genetic data? Theoretical Population Biology, 100, 26–38. https://doi.org/10.1016/j.tpb.2014.12.002
  • Johndrow, J. E., & Palacios, J. A. (2019). Exact limits of inference in coalescent models. Theoretical Population Biology, 125, 75–93. https://doi.org/10.1016/j.tpb.2018.11.004
  • Hu, W., et al. (2023). Genomic inference of a severe human bottleneck during the Early to Middle Pleistocene transition. Science, 381(6661), 979–984. https://doi.org/10.1126/science.abq7487