Table A.1

Linear Regression correlation coefficients, R, cTSI, ctime, and probability of zero hypothesis, PTSI. The number of independent points is given by a 15-year interval and the fitted time interval (except for the last row including years before 1400, for which several 15-year averages with less than 10 historic records have been omitted). The values of column σ are the standard deviations of the differences to the predicted relation.

Regression Location Correlation R Nr. c TSI σ P TSI c time
epoch range to obs. °C/(W/m2) °C °C/yr
1650–1890 Edo bay Kyoto 0.62 17 0.62
1650–1890 Edo bay Kyoto, time 0.88 17 0.40 0.0065
1650–1890 <K. & E.> TSI 0.82 17 0.25 ± 0.05 0.31 0.005%
1650–1890 Edo bay TSI 0.82 17 0.36 ± 0.06 0.46 0.005%
1650–1890 Kyoto TSI 0.60 17 0.14 ± 0.05 0.34 1.1%
1605–1890 Kyoto TSI, time 0.65 20 0.18 ± 0.05 0.35 0.26% −0.0018
1500–1890 Kyoto TSI, time 0.56 27 0.20 ± 0.06 0.43 0.29% −0.0012
1410–1890 Kyoto TSI, time 0.60 33 0.19 ± 0.07 0.50 0.75% −0.0031
1230–1890 Kyoto TSI, time 0.54 38 0.14 ± 0.06 0.52 1.6% −0.0019

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