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Table II
Autocorrelation and partial autocorrelations (acf and pacf), and the coefficients (AR model) and fit (root mean square, RSQ) of the autoregressive model of the measured (raw data) chronology based on the common years of height and radial growth measurements of each tree.
Growth | Series | Lag | ||||||||||
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series | length, |
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years | t − 1 | t − 2 | t − 3 | t − 4 | t − 5 | t − 6 | t − 7 | t − 8 | t − 9 | t − 10 | ||
Radial | 150 | acf | 0.798 | 0.707 | 0.659 | 0.601 | 0.557 | 0.545 | 0.549 | 0.464 | 0.433 | 0.417 |
pacf | 0.798 | 0.194 | 0.142 | 0.029 | 0.036 | 0.103 | 0.117 | –0.175 | 0.024 | 0.033 | ||
95% c.l. | 0.149 | 0.225 | 0.270 | 0.304 | 0.330 | 0.350 | 0.369 | 0.386 | 0.399 | 0.409 | ||
AR model | 0.607 | 0.124 | 0.132 | RSQ 0.662) | ||||||||
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Height | 150 | acf | 0.737 | 0.645 | 0.610 | 0.544 | 0.586 | 0.552 | 0.522 | 0.485 | 0.471 | 0.447 |
pacf | 0.737 | 0.223 | 0.176 | 0.022 | 0.244 | 0.022 | 0.039 | –0.033 | 0.075 | –0.027 | ||
95% c.l. | 0.149 | 0.216 | 0.255 | 0.286 | 0.308 | 0.332 | 0.352 | 0.369 | 0.383 | 0.396 | ||
AR model | 0.532 | 0.123 | 0.179 | (RSQ 0.583) | ||||||||
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Radial | 50 | acf | 0.469 | 0.419 | 0.406 | 0.348 | 0.164 | 0.440 | 0.309 | 0.210 | 0.297 | 0.336 |
pacf | 0.469 | 0.256 | 0.191 | 0.081 | –0.162 | 0.390 | –0.002 | –0.095 | 0.126 | 0.070 | ||
95% c.l. | 0.277 | 0.333 | 0.371 | 0.404 | 0.426 | 0.431 | 0.464 | 0.480 | 0.487 | 0.501 | ||
AR model | 0.255 | 0.233 | 0.215 | (RSQ 0.338) | ||||||||
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Height | 50 | acf | 0.341 | 0.057 | 0.064 | –0.164 | –0.252 | 0.102 | 0.037 | –0.149 | 0.081 | 0.044 |
pacf | 0.341 | –0.067 | 0.075 | –0.238 | –0.132 | 0.274 | –0.089 | –0.177 | 0.135 | –0.013 | ||
95% c.l. | 0.277 | 0.308 | 0.309 | 0.310 | 0.316 | 0.331 | 0.334 | 0.334 | 0.339 | 0.341 | ||
AR model | 0.344 | (RSQ 0.123) |