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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
series length,
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)

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)

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)

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)