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Data availability
All datasets used in this study are in public repositories as cited or from the Source Figure Data of J23. The diffusion-length estimates from ref. 13 were digitized from the figure data.
Code availability
The code and data to reproduce the results are available via Zenodo at https://doi.org/10.5281/zenodo.1328524719 (ref. 19).
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Acknowledgements
This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme Starting Grant SPACE (grant agreement number 716092). T.M. was supported by the Informationsinfrastrukturen Grant of the Helmholtz Association as part of the DataHub Earth and Environment and F.S. was supported by the European Unions Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement no. 955750.
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All authors collaborated on the design of the study, the interpretation of the results and the writing of the manuscript. T.L. led the study and performed the numerical analyses.
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Extended data figures and tables
Extended Data Fig. 1 Loss of seasonal cycle amplitude shown in the spectral domain.
Power spectral density of reanalysis daily surface air temperature at the coring site6, the WDC δD data covering the same time-period7 and as an example for the deeper ice record, the diffusion corrected and raw J23 WDC δD data of a time-window of the same length 5ka BP (as in J23, Fig. 1a). Shading indicates 90% confidence intervals. The ratio of the variance in the frequency band around the annual cycle (1/1.2-1.2) yr−1 (vertical dashed lines) is 0.222 (1979-2005) and 0.212 (5ka BP diffusion corrected) showing that only about 20% of the amplitude is preserved. The results are not sensitive to the choice of the time-window.
Extended Data Fig. 2 J23 seasonal amplitudes in δD8 (black) and WDC accumulation rate7 (blue), show a similar temporal evolution over the Holocene.
Shown are 1000 year running mean values as used in J23.
Extended Data Fig. 3
Comparison of the diffusion length used in J23 (black) and the diffusion length derived from the ratio of the corrected and uncorrected J23 annual variance (red) calculated on 140 yr windows every 70 years. Gray shading is ±1sd range of the estimation uncertainties as provided by J23.
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Laepple, T., Münch, T., Hirsch, N. et al. Limitations of ice cores in reconstructing temperature seasonality. Nature 637, E1–E6 (2025). https://doi.org/10.1038/s41586-024-08181-7
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DOI: https://doi.org/10.1038/s41586-024-08181-7