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<br />W05415 <br /> <br />WOODHOUSE ET AL.: UPDATED COLORADO RIVER RECONSTRUCTIONS <br /> <br />W05415 <br /> <br /> X 104 <br /> 2.4 <br /> 2.2 <br /> 2 <br />(0) <br /><DE 1.8 <br />0 <br />~ <br />~ 1.6 <br />0 <br />u:: <br /> 1.4 <br /> 1.2 <br /> 1 <br /> 1500 1550 1600 <br /> <br /> <br />1700 1750 1800 <br />Ending Year <br /> <br />Figure 10. Twenty-year running means of four alternative reconstructions of the annual flow of the <br />Colorado River at Lees Ferry for common period 1520-1961. Lees-A is our updated reconstruction from <br />residual chronologies. Lees-D is our updated reconstruction from PCs of standard chronologies (see text). <br />SJ 1976 is the mean of two reconstructions generated by equations 2 and 3 of Stockton and Jacoby [1976, <br />p. 24). HPD2000 is the PC-based reconstruction of Hidalgo et al. [2000). The horizontal lines are the <br />1906-2004 observed mean (solid line) and the lowest observed 20-year running mean of the 1906-2004 <br />period (dash-dotted line). <br /> <br />1650 <br /> <br />different chronologies were used as predictors. Two of <br />Stockton and Jacoby's [1976] original sites were recollected, <br />but it is not evident that any of the same trees were sampled. <br />Gauge data were different as well, and both the tree ring <br />data and gauge data in previous efforts resulted in a <br />calibration period nearly half the length of the calibration <br />period used in this study. Differences could also result from <br />data processing and decisions in detrending the raw ring <br />widths. SJ\976 and HDP2000 used standard chronologies, <br />and models with PCs of lagged chronologies as predictors. <br />Over the common period 1906-1961, the SJ\976 recon- <br />struction showed a lag 1 autocorrelation of 0.36 and <br />HDP2000 0.41, which are similar to the 0.22 and 0.31 for <br />the models from this study that were based on standard <br />chronologies. All of these lag 1 values are also consistent <br />with values for the gauge record (0.2S). The inclusion of <br />lagged predictors may have the effect of enhancing the <br />persistence in the extreme low flow years. The reliance on <br />just seven tree ring chronologies to sample the runoff <br />variations over the entire Upper Colorado River Basin, as <br />with updated reconstruction Lees-A, might also present a <br />case of potential undersampling of the watershed. However, <br />we note that the Lees-A is closely tracked by Lees-D, a <br />PC-based reconstruction with weights on 31 chronologies <br />distributed over the watershed (Figure 4). <br /> <br />Table 9. Comparative Statistics of Lees Ferry Reconstructions <br />Calibrationb <br /> <br />1850 <br /> <br />1950 <br /> <br />2000 <br /> <br />1900 <br /> <br />[40] We can rule out the choice of calibration period as a <br />major source of differences among the reconstructions; <br />recalibrating our model Lees-A on 1914-1961 (following <br />SJl976) instead of 1906-1995 did not appreciably affect <br />the inferred magnitudes of past droughts. The accuracy of <br />the naturalized flow values is clearly important to the <br />estimated severity of reconstructed droughts: SJl976 <br />reported important differences in drought severity and in <br />long-term mean reconstructed flow depending on the ver- <br />sion of the natural flow record (several existed at that time) <br />used to calibrate their reconstruction model. <br /> <br />5. Recent Drought (2000-2004) in a <br />Multicentury Perspective <br />[41] To assess the long-term standing of the most recent <br />drought on the Colorado River, the observed natural flows <br />at Lees Ferry averaged over the heart of the recent drought <br />(water years 2000-2004) can be compared with 5-year <br />running means of the Lees Ferry reconstruction. Because of <br />the unexplained variance in the regression however, we <br />must allow for the possibility that the true 5-year mean for <br />any reconstructed period may have been lower than the <br />reconstructed 5-year mean. For this assessment, error bars <br />were placed on the reconstructed 5-year running means. <br /> <br />ReconstmctionC <br /> <br />Model" Period Nc R2 Lowest 20-year Mean Long-Term Mean <br />Lees- A 1906-1995 7 0.81 15.6 I 1.2 BCM (12.6 I 0.9 MAF) 18.1 I 0.2 BCM (14.7 I 0.2 MAF) <br />Lees-D 1906-1995 30 0.77 12.8 "' 1.1 BCM (10.4 I 0.9 MAF) 17.6 I 0.2 BCM (14.3 "' 0.2 MAF) <br />SJl976 1914-1961 17 0.78d 13.5 BCM (10.9 MAF) 16.7 BCM (13.5 MAF) <br />HPD2000 1914-1961 6 0.82 11.2 I 1.0 BCM (9.1 "' 0.8 MAF) 16.3 "'0.2 BCM (13.2 "' 0.2 MAF) <br /> <br />aReconstruction model (see text). <br />bCalibration period, number of contributing chronologies, and proportion of variance explained by regression model. <br />CStatistics of long-term reconstruction. expressed in units ofbiJlion cubic meters and million acre-feet along with 95% contidence interval estimated from <br />the cross-validation root-mean square error (see tex~; statistics for common period 1520-1961. <br />dSJl 976 is a mean of two reconstmctions with R- values of 0.78 and 0.87 [Stockton and Jacoby, 1976]; no cross-validation was performed for these <br />models. <br /> <br />12 of 16 <br />