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Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles

Publication ,  Journal Article
Xu, T; Katul, G; Hu, S
Published in: Geophysical Research Letters
January 16, 2026

Glacial cycles emerged with a 41-kyr period after the Pliocene and later intensified with a 100-kyr period in the mid-Pleistocene, which were attributed to Earth's orbital variations. However, no significant changes in the orbital forcing were found at the two transitions, and the forcing was too small to drive these cycles. Here, a stochastic resonance model is proposed to resolve these two issues. Earth's radiative imbalance varies with temperature but is modulated by non-stationary greenhouse gas concentrations leading to a persisting warm state (the inter-glacials) and a colder state (the glacials) only in the Pleistocene. A noise that encodes volcanic eruptions and short-term climate variations acts to trigger glacial-interglacial jumps modulated by periodic orbital variations. The mid-Pleistocene transition to the 100 kyr world is shown to be favored by a weakened noise amplitude. This formulation offers a unified view of Pliocene-Pleistocene evolution that can be extended to hothouse and snowball climates.

Duke Scholars

Published In

Geophysical Research Letters

DOI

EISSN

1944-8007

ISSN

0094-8276

Publication Date

January 16, 2026

Volume

53

Issue

1

Related Subject Headings

  • Meteorology & Atmospheric Sciences
 

Citation

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Xu, T., Katul, G., & Hu, S. (2026). Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles (Accepted). Geophysical Research Letters, 53(1). https://doi.org/10.1029/2025GL118862
Xu, T., G. Katul, and S. Hu. “Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles (Accepted).” Geophysical Research Letters 53, no. 1 (January 16, 2026). https://doi.org/10.1029/2025GL118862.
Xu T, Katul G, Hu S. Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles (Accepted). Geophysical Research Letters. 2026 Jan 16;53(1).
Xu, T., et al. “Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles (Accepted).” Geophysical Research Letters, vol. 53, no. 1, Jan. 2026. Scopus, doi:10.1029/2025GL118862.
Xu T, Katul G, Hu S. Stochastic Resonance Elucidates the Emergence and Periodicity Transition of Glacial Cycles (Accepted). Geophysical Research Letters. 2026 Jan 16;53(1).
Journal cover image

Published In

Geophysical Research Letters

DOI

EISSN

1944-8007

ISSN

0094-8276

Publication Date

January 16, 2026

Volume

53

Issue

1

Related Subject Headings

  • Meteorology & Atmospheric Sciences