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Correlation coefficients for three chronologies over the common period of 1910–2016_
| Original (n=107) | High-frequency (n=95) | Low frequency (n=95) | |||||||
|---|---|---|---|---|---|---|---|---|---|
| AMA | KBZ | BSK | AMA | KBZ | BSK | AMA | KBZ | BSK | |
| AMA | 1 | 0.783 Significant at p<0.001. | 0.660 Significant at p<0.001. | 1 | 0.842 Significant at p<0.001. | 0.682 Significant at p<0.001. | 1 | 0.641 Significant at p<0.001. | 0.683 Significant at p<0.001. |
| KBZ | / | 1 | 0.624 Significant at p<0.001. | / | 1 | 0.759 Significant at p<0.001. | / | 1 | 0.388 Significant at p<0.001. |
| BSK | / | / | 1 | / | / | 1 | / | / | 1 |
Statistics of split-sample calibration-verification tests for the NDVI reconstruction_
| Statistic | Calibration (1982–1994) | Verification (1995–2006) | Calibration (1994–2006) | Verification (1982–1993) | Full calibration (1982–2006) |
|---|---|---|---|---|---|
| r | 0.67 | 0.41 | 0.44 | 0.68 | 0.58 |
| R2 | 0.43 | 0.17 | 0.19 | 0.46 | 0.33 |
| 0.38 | / | 0.12 | / | 0.30 | |
| RE | / | 0.10 | / | 0.35 | / |
| CE | / | 0.09 | / | 0.34 | / |
| t | / | 3.01 | / | 3.49 | / |
Statistical characteristics of chronologies over the common period of 1900–2010
| Statistic | AMA | KBZ | BSK | ARC |
|---|---|---|---|---|
| Standard deviation (SD) | 0.198 | 0.224 | 0.414 | 0.208 |
| Mean sensitivity (MS) | 0.180 | 0.186 | 0.379 | 0.180 |
| First-order autocorrelation (AC1) | 0.396 | 0.496 | 0.577 | 0.458 |
| Interseries correlation (trees) | 0.417 | 0.484 | 0.738 | 0.418 |
| Interseries correlation (all series) | 0.431 | 0.488 | 0.753 | 0.422 |
| Mean within-tree correlation | 0.786 | 0.805 | 0.961 | 0.808 |
| Signal-to-noise ratio (SNR) | 9.858 | 62.012 | 18.293 | 62.025 |
| Expressed population signal (EPS) | 0.908 | 0.984 | 0.948 | 0.984 |
| The first principal component (PC#1) | 0.492 | 0.518 | 0.799 | 0.461 |
| First year EPS >0.85 | 1910 | 1850 | 1880 | 1850 |
Verification results from the Leave-one-out and Bootstrap tests for the NDVI reconstruction_
| Statistic | Calibration | Leave-one-out Mean (Range) | Bootstrap (100 Iterations) Mean (Range) |
|---|---|---|---|
| r | 0.58 | 0.58 (0.52–0.63) | 0.57 (0.34–0.77) |
| Squared multiple correlation (R2) | 0.33 | 0.33 (0.27–0.40) | 0.34 (0.12–0.60) |
| Adjusted squared multiple correlation ( | 0.30 | 0.30 (0.24–0.37) | 0.31 (0.08–0.58) |
| Standard error (SE) | 0.017 | 0.017 (0.015–0.018) | 0.16 (0.11–0.19) |
| F-value (F) | 11.45 | 11.06 (8.10–14.56) | 13.21 (3.17–32.39) |
| Durbin-Watson (D/W) | 1.82 | 1.84 (1.60–2.05) | 1.22 (0.49–1.95) |
Correlation coefficients between the NDVI and climatic reconstructions over the common period of 1850–2005_
| Original(n = 156) | High-frequency (n = 144) | Low-frequency (n = 144) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| SKZ | PNL | PIL | PAK | SKZ | PNL | PIL | PAK | SKZ | PNL | PIL | PAK | |
| NAM | 0.507 | 0.460 Significant at p < 0.01 | 0.371 Significant at p < 0.01 | 0.197 Significant at p < 0.05 | 0.580 Significant at p < 0.01 | 0.508 Significant at p < 0.01 | 0.332 Significant at p < 0.01 | 0.189 Significant at p < 0.05 | 0.498 Significant at p < 0.01 | 0.326 Significant at p < 0.01 | 0.452 Significant at p < 0.01 | 0.190 Significant at p < 0.05 |