Table 2: βI and βD values for coral, ice core, speleothem, and tree ring cellulose sites, simulated vs. observed for all case studies and the PAGES2k Database. βI is calculated as the mean slope between 2 and 8 years (interannual), and βD is the mean slope between 20 and 200 years (decadal to centennial). Mean PAGES2k vs. PSM simulated overall β values for Coral, Ice Core, and Tree Ring PAGES2k sites with test statistics for difference-of-mean Mann-Whitney/Wilcoxon Rank-Sum tests are given alongside case studies. For TRW, β values were calculated for the four tree ring width sites listed in Table 1, simulated vs. observed, using the Modified Negative Exponential (negex) detrending method and simply calculating the slope after simulating the TRW using the forward model VS-Lite (no detrending). We report difference of means test statistics for the PAGES2k data only, as we have a full distribution of values for these data as opposed to the single-point case studies, where a difference of means test is not appropriate. See SI Table S6 for a comparison of six different detrending methods including RCS, Modified Negative Exponential (negex), Linear, Spline, Hugershoff.
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