2. References

Please acknowledge the program author on any publication of scientific results based in part on the use of the program and cite the following article in which the program was described:

Mingsong Li, Linda Hinnov, Lee Kump. 2019. Acycle: Time-series analysis software for paleoclimate projects and education, Computers & Geosciences, https://doi.org/10.1016/j.cageo.2019.02.011

If you publish results using the correlation coefficient (COCO or eCOCO) method, please also cite this paper:

• Li, Mingsong, Kump, Lee, Hinnov, Linda, Mann, Michael, 2018. Tracking variable sedimentation rates and astronomical forcing in Phanerozoic paleoclimate proxy series with evolutionary correlation coefficients and hypothesis testing. Earth and Planetary Science Letters 501, 165-179.

Bayesian Changepoint method:

• Ruggieri, E., 2013. A Bayesian approach to detecting change points in climatic records. International Journal of Climatology 33, 520-528.

Evolutionary fast Fourier Transform (evoFFT) method:

• Kodama, K.P., Hinnov, L., 2015. Rock Magnetic Cyclostratigraphy. Wiley-Blackwell.

eTimeOpt method:

• Meyers, S.R., 2019. Cyclostratigraphy and the problem of astrochronologic testing. Earth-Science Reviews 190, 190-223.

Filtering method (Gauss and Taner filter):

• Kodama, K.P., Hinnov, L., 2015. Rock Magnetic Cyclostratigraphy. Wiley-Blackwell.

Power decomposition analysis (pda.m):

• Li, Mingsong, Huang, Chunju, Hinnov, Linda, Ogg, James, Chen, Zhong-Qiang, Zhang, Yang, 2016. Obliquity-forced climate during the Early Triassic hothouse in China. Geology 44, 623-626. doi: 10.1130/G37970.1

Red noise model:

• Mann, M.E., Lees, J.M., 1996. Robust estimation of background noise and signal detection in climatic time series. Climatic Change 33, 409-445. [Robust AR(1)]

• Husson, D., 2014. MathWorks File Exchange: RedNoise_ConfidenceLevels, http://www.mathworks.com/matlabcentral/fileexchange/45539-rednoise-confidencelevels/content/RedNoise_ConfidenceLevels/RedConf.m. [Conventional AR(1)]

Sedimentary noise model for sea-level (DYNOT or ρ1 methods):

• Li, Mingsong, Hinnov, Linda, Huang, Chunju, Ogg, James, 2018. Sedimentary noise and sea levels linked to land–ocean water exchange and obliquity forcing. Nature communications 9, 1004. Doi: 10.1038/s41467-018-03454-y

TimeOpt method:

• Meyers, S.R., 2015. The evaluation of eccentricity‐related amplitude modulation and bundling in paleoclimate data: An inverse approach for astrochronologic testing and time scale optimization. Paleoceanography. doi: 10.1002/2015PA002850