Persistent Link:
http://hdl.handle.net/10150/300060
Title:
Augmenting Annual Runoff Records Using Tree-Ring Data
Author:
Stockton, Charles W.; Fritts, Harold C.
Affiliation:
Laboratory of Tree-Ring Research, The University of Arizona, Tucson, Arizona, 85721
Issue Date:
23-Apr-1971
Rights:
Copyright ©, where appropriate, is held by the author.
Collection Information:
This article is part of the Hydrology and Water Resources in Arizona and the Southwest collections. Digital access to this material is made possible by the Arizona-Nevada Academy of Science and the University of Arizona Libraries. For more information about items in this collection, contact anashydrology@gmail.com.
Publisher:
Arizona-Nevada Academy of Science
Journal:
Hydrology and Water Resources in Arizona and the Southwest
Abstract:
Statistical analyses of existing hydrologic records suffer from the problem that such records are of relatively short duration, and therefore may not necessarily be random samples of the infinite population of events. On the hypothesis that tree-ring series and runoff series respond to a common climatic signal or signals that permit prediction of annual runoff from annual ring-width index, tree-ring data are used to extend available runoff records backwards in time to permit more accurate estimates of the 3 most common statistics used in hydrology: the mean, the variance and the 1st order correlation. It is assumed that both series are generated by the climatic parameters of precipitation, temperature, evapotranspiration, seasonal regime and spatial distribution. Of major concern in the reconstruction of annual runoff series from tree-ring records was the difference in persistence within each of the 2 series. A matrix of the tree-ring data was constructed, lagged up to 3 times and principal components were extracted. The covariation in this matrix was then decomposed by extracting the Eigen-vectors, and multiple regression was then used to weight the respective series and the differences in persistence were determined. This method was applied to watersheds of diverse characteristics and improved estimates of the mean and variance were obtained.
Keywords:
Water resources development -- Arizona.; Hydrology -- Arizona.; Hydrology -- Southwestern states.; Water resources development -- Southwestern states.; Runoff; Statistical models; Mathematical studies; Climatic data; Watersheds (basins); Arizona; New Mexico; Precipitation (atmospheric); Temperature; Evapotranspiration; Seasonal; Spatial distribution; Time series analysis; Sampling; Correlation analysis; Regression analysis; Variability; Arid lands; Hydrologic data; Analysis of covariance; Principal components analysis
ISSN:
0272-6106

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleAugmenting Annual Runoff Records Using Tree-Ring Dataen_US
dc.contributor.authorStockton, Charles W.en_US
dc.contributor.authorFritts, Harold C.en_US
dc.contributor.departmentLaboratory of Tree-Ring Research, The University of Arizona, Tucson, Arizona, 85721en_US
dc.date.issued1971-04-23-
dc.rightsCopyright ©, where appropriate, is held by the author.en_US
dc.description.collectioninformationThis article is part of the Hydrology and Water Resources in Arizona and the Southwest collections. Digital access to this material is made possible by the Arizona-Nevada Academy of Science and the University of Arizona Libraries. For more information about items in this collection, contact anashydrology@gmail.com.en_US
dc.publisherArizona-Nevada Academy of Scienceen_US
dc.identifier.journalHydrology and Water Resources in Arizona and the Southwesten_US
dc.description.abstractStatistical analyses of existing hydrologic records suffer from the problem that such records are of relatively short duration, and therefore may not necessarily be random samples of the infinite population of events. On the hypothesis that tree-ring series and runoff series respond to a common climatic signal or signals that permit prediction of annual runoff from annual ring-width index, tree-ring data are used to extend available runoff records backwards in time to permit more accurate estimates of the 3 most common statistics used in hydrology: the mean, the variance and the 1st order correlation. It is assumed that both series are generated by the climatic parameters of precipitation, temperature, evapotranspiration, seasonal regime and spatial distribution. Of major concern in the reconstruction of annual runoff series from tree-ring records was the difference in persistence within each of the 2 series. A matrix of the tree-ring data was constructed, lagged up to 3 times and principal components were extracted. The covariation in this matrix was then decomposed by extracting the Eigen-vectors, and multiple regression was then used to weight the respective series and the differences in persistence were determined. This method was applied to watersheds of diverse characteristics and improved estimates of the mean and variance were obtained.en_US
dc.subjectWater resources development -- Arizona.en_US
dc.subjectHydrology -- Arizona.en_US
dc.subjectHydrology -- Southwestern states.en_US
dc.subjectWater resources development -- Southwestern states.en_US
dc.subjectRunoffen_US
dc.subjectStatistical modelsen_US
dc.subjectMathematical studiesen_US
dc.subjectClimatic dataen_US
dc.subjectWatersheds (basins)en_US
dc.subjectArizonaen_US
dc.subjectNew Mexicoen_US
dc.subjectPrecipitation (atmospheric)en_US
dc.subjectTemperatureen_US
dc.subjectEvapotranspirationen_US
dc.subjectSeasonalen_US
dc.subjectSpatial distributionen_US
dc.subjectTime series analysisen_US
dc.subjectSamplingen_US
dc.subjectCorrelation analysisen_US
dc.subjectRegression analysisen_US
dc.subjectVariabilityen_US
dc.subjectArid landsen_US
dc.subjectHydrologic dataen_US
dc.subjectAnalysis of covarianceen_US
dc.subjectPrincipal components analysisen_US
dc.identifier.issn0272-6106-
dc.identifier.urihttp://hdl.handle.net/10150/300060-
dc.identifier.journalHydrology and Water Resources in Arizona and the Southwesten_US
dc.typetexten_US
dc.typeProceedingsen_US
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