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- Background
- Chronologies
- Reconstructions
- Case Study
- Resources
Sacramento River, CA (Four Rivers Index)
| Principal
Investigator |
David Meko, University
of Arizona - dmeko@ltrr.arizona.edu |
| Gage record source |
California DWR |
| Calibration/validation |
1906-1977 |
| Full reconstruction |
901-1977 |
Predictor chronologies
|
see note below |
| Explained variance |
62% (901-1299); 67% (1300-1607); 80% (1608-1977) |
|
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| Time-series graphs |
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Note: The
full Sacramento River reconstruction described here consists of three
sub-period reconstruction models (901-1299; 1300-1607; 1608-1977), with
each reconstruction calibrated against the gage record (1906-1977) using
a different but overlapping set of tree-ring data. This was done because
the number of tree-ring chronologies declines going back in time, and
so each sub-period reconstruction takes advantage of all the tree-ring
data available for that period. A total of 7 chronologies were used to
develop the 901-1299 model, 13 chronologies (including those 7) were used
to develop the 1300-1607 model, and 28 chronologies (including those 10
of those 13) were used to develop the 1608-1977 model.

Gaged (blue)
and reconstructed (green) records over the calibration/validation period
(1906-1977). The 1608-1977 sub-period reconstruction is shown; the other
two sub-period reconstructions have slightly worse fits to the gage
record, as indicated by the validation statistics.

Full reconstruction
(901-1977), with annual values (green) and a 5-year running mean (black).

Total sample depth (typically, two measured series per tree) for the reconstruction.
The steps at 1300 and 1608 reflect the use of additional chronologies
in the sub-period reconstruction models that start in those years.
Validation Statistics
(See Blue River Case Study for detailed explanation)
901-1299 Sub-Period Reconstruction:
| |
| |
Rcal |
Rval |
| calibration model |
0.80 |
|
| PRESS validation |
|
0.77 |
|
|
| |
R2cal |
RE(val) |
| calibration model |
0.62 |
|
| PRESS validation |
|
0.55 |
|
|
| |
standard error of estimate |
RMSE |
| calibration model |
0.122* |
|
| PRESS validation |
|
0.128*
|
|
1300-1607 Sub-period Reconstruction
| |
| |
Rcal |
Rval |
| calibration model |
0.82 |
|
| PRESS validation |
|
0.77 |
|
|
| |
R2cal |
RE(val) |
| calibration model |
0.67 |
|
| PRESS validation |
|
0.59 |
|
|
| |
standard error of estimate |
RMSE |
| calibration model |
0.114* |
|
| PRESS validation |
|
0.122*
|
|
1608-1977 Sub-period Reconstruction
| |
| |
Rcal |
Rval |
| calibration model |
0.89 |
|
| PRESS validation |
|
0.84 |
|
|
| |
R2cal |
RE(val) |
| calibration model |
0.80 |
|
| PRESS validation |
|
0.70 |
|
|
| |
standard error of estimate |
RMSE |
| calibration model |
0.093* |
|
| PRESS validation |
|
0.105*
|
|
* The units for RMSE are log-10 million acre-feet, because of log-transformation
of the gage record prior to calibration of the reconstruction model.