Acycle logo


Time series analysis plays a fundamental role in the natural sciences. In growing important geoscience application, recognition and interpretation of climate signals in proxy records can be time consuming and subjective.

Three reasons motivated the development of the Acycle time series analysis program:

(1) There is a need to broaden and encourage the experience of time series analysis in the geosciences, especially in paleoclimatology and cyclostratigraphy.

(2) There is a need to speed the process for the time-series analysis steps, which can be very time-consuming.

(3) There is a need to provide objective methods for the analysis of paleoclimate signals as reproducibility becomes a major challenge.

We acknowledge our inspiring freeware predecessors: Analyseries, Arand, and Astrochron.


Mingsong Li

Peking University
msli {at} pku.edu.cn ; limingsonglms {at} gmail.com

Linda Hinnov


, Lee Kump


, Jacques Laskar

Astronomical Solutions

, Richard Zeebe

Astronomical Solutions

, Jonathan Levine


, Peter Huybers


, Stephen Meyers


, Matthias Sinnesael

Spectral Moments

, Nicolas Thibault

Dynamic Filtering

, Giovanni Rizzi

Dynamic Filtering

, Christopher Torrence


, Gilbert Compo


, Yonggang Liu


, Aslak Grinsted


, Jeffrey Park

Multitaper Adaptive Weighting, Harmonic F-Test

, Eric Ruggieri

Bayesian Change Point


Feng Cheng, Jitao Chen, Anne-Christine Da Silva, Jaume Dinarès-Turell, Hewei Duan, Zheng Gong, Zhengtang Guo, Yanan Fang, Marco Franceschi, Daniel R. Franco, Frits Hilgen, Xiaoni Hu, Dorothée Husson, Arsenio Muñoz Jiménez, Ilja Kocken, Lee R. Kump, Dongyang Liu, Kunyuan Ma, Mathieu Martinez, James Ogg, Paul Olsen, J. Fred Read, Chen Shen, Victor A. Piedrahita Velez, Chuanyue Wang, Meng Wang, Yujing Wu, Deke Xu, Yuzhen Yan, Xu Yao, Tan Zhang, Qiyan Zhang, Haotian Zhang, Xiaoyu Zhang, Yang Zhang, Hanyu Zhu, Christian Zeeden


National Natural Science Foundation of China


, Heising-Simons Foundation


, Pennsylvania State University


, Peking University


, George Mason University



  • Acycle v2.4.1

    MatLab RUNTIME 2020b

    Dec. 12, 2021

    • 1. Interpolation Pro (New!)

      2. Wavelet coherence

      3. Wavelet cross spectrum

      4. Plot - Convert to sound

  • Acycle v2.4

    MatLab RUNTIME 2020b

    Nov. 22, 2021

    • 1. Newly designed Wavelet GUI

      2. Wavelet coherence and cross-spectrum

      3. Milankovitch Calculator (Waltham, 2015)

  • Acycle v2.3

    MatLab RUNTIME 2020b

    May 30, 2021

    • 1. Circular spectral analysis: Added.

      2. Sort listbox based on size/date/name.

    • 3. Bug fixed.

  • acycle.org

    New official website

    Feb. 4, 2021

    • acycle.org

  • Acycle v2.2

    MatLab RUNTIME 2019a

    June 6, 2020

    • 1. Power spectral analysis: Updated.

      2. Add curve fitting method for robust AR1 confidence level estimations.

    • 3. Add a new tool: Basic Series -> Length-of-day & day-of-year.

  • Acycle v2.1

    MatLab RUNTIME 2019a

    Feb. 23, 2020

    • 1. Update Spectral Moments section.

      2. Include f-test and amplitude spectrum.

  • Acycle v2.0

    MatLab RUNTIME 2019a

    Sept 2, 2019

    • 1. Completely redesign the GUI for the COCO and eCOCO

      2. Add the "Spectral Moments" tool.

  • Acycle v1.3

    MatLab RUNTIME 2015b

    Aug 6, 2019

    • 1. Update the Spectral Analysis toolbox.

      2. Automatic update.

  • Acycle v1.2

    MatLab RUNTIME 2015b

    May 20, 2019

    • 1. Signal/Noise generator.

      2. Evolutionary spectral analysis: add one option for zero-padding top and bottom of series.

      3. COCO: detect test limits of sedimentation rate automatically.

  • Acycle v1.1

    MatLab RUNTIME 2015b

    April 6, 2019

    • 1. eCOCO: save optimal sed. rate as a text file.

      2. Mini-robot GUI.

  • Acycle 1.0

    MatLab RUNTIME 2015b

    Mar. 8, 2019

    • 1. Acycle paper has been accepted:

      Mingsong Li, Linda Hinnov, Lee Kump. 2019. Acycle: Time-series analysis software for paleoclimate projects and education, Computers & Geosciences, 127: 12-22

    • 2. Refine GUIs of Detrending, Spectral Analysis, Evolutionary Spectral Analysis, Filtering, etc.