Document Type
Article
Publication Date
11-2000
Publication Title
Water Resources Research
Volume
36
Issue
11
First page number:
3241
Last page number:
3249
Abstract
Streamflow reconstruction using tree ring information (dendrohydrology) has traditionally used principal components analysis (PCA) and stepwise regression to form a transfer function. However, PCA has several procedural choices that may result in very different reconstructions. This study assesses the different procedures in PCA-based regression and suggests alternative procedures for selection of variables and principal components. Cross-validation statistics are presented as an alternative for independently testing and identifying the optimal model. The objective is to use these statistics as a measure of the model's performance to find a conceptually acceptable model with a low prediction error and the fewest number of variables. The results show that a parsimonious model with a low mean square error can be obtained by using strict rules for principal component selection and cross-validation statistics. Additionally, the procedure suggested in this study results in a model that is physically consistent with the relationship between the predictand and the predictor. The alternative PCA-based regression models presented here are applied to the reconstruction of the Upper Colorado River Basin streamflow and compared with results of a previous reconstruction using traditional procedures. The streamflow reconstruction proposed in this study shows more intense drought periods, which may influence the future allocation of water supply in the Colorado River Basin.
Keywords
Floods--Computer simulation; North America--Colorado River Watershed; Streamflow--Analysis; Streamflow--Mathematical models; Water-supply--Planning; Watershed hydrology
Disciplines
Environmental Engineering | Environmental Sciences | Hydrology | Numerical Analysis and Computation | Water Resource Management
Language
English
Permissions
Copyright 2000 by the American Geophysical Union
Repository Citation
Hidalgo, H. G.,
Piechota, T. C.,
Dracup, J. A.
(2000).
Alternative principal components regression procedures for dendrohydrologic reconstructions.
Water Resources Research, 36(11),
3241-3249.
http://dx.doi.org/10.1029/2000WR900098
Included in
Environmental Engineering Commons, Hydrology Commons, Numerical Analysis and Computation Commons, Water Resource Management Commons