The Smoothing Spline: A New Approach to Standardizing Forest Interior Tree-Ring Width Series for Dendroclimatic Studies

Persistent Link:
http://hdl.handle.net/10150/261038
Title:
The Smoothing Spline: A New Approach to Standardizing Forest Interior Tree-Ring Width Series for Dendroclimatic Studies
Author:
Cook, Edward R.; Peters, Kenneth
Affiliation:
Lamont-Doherty Geological Observatory, Palisades, New York
Issue Date:
1981
Rights:
Copyright © Tree-Ring Society. All rights reserved.
Collection Information:
This item is part of the Tree-Ring Research (formerly Tree-Ring Bulletin) archive. It was digitized from a physical copy provided by the Laboratory of Tree-Ring research at The University of Arizona. For more information about this peer-reviewed scholarly journal, please email the Editor of Tree-Ring Research at editor@treeringsociety.org.
Publisher:
Tree-Ring Society
Journal:
Tree-Ring Bulletin
Citation:
Cook, E.R., Peters, K. 1981. The smoothing spline: a new approach to standardizing forest interior tree-ring width series for dendroclimatic studies. Tree-Ring Bulletin 41:45-53.
Abstract:
A new approach to removing the non-climatic variance of forest interior tree-ring width series, using the smoothing spline, is described. This method is superior to orthogonal polynomials because it makes no assumptions about the shape of the curve to be used for standardization. Also, because the spline curve can range continuously from a linear least squares fit to cubic interpolation through the data, it is far more flexible than polynomials and provides a more "natural" fit. For computing the spline, we found that specifying the Lagrange multiplier p which appears in the calculus of variation solution rather than the residual variance as suggested by Reinsche was both practical and more efficient. In effect, the smoothing spline is a one-parameter family of low-pass filters defined by p. We describe the general characteristics of these filters in the time and frequency domains and compute the response functions for several of them. The smoothing spline is an excellent tree-ring standardization method because its filtering characteristics are well defined. Its utility for dendroclimatology should be considerable since, outside of semiarid environments, sites similar to forest interiors predominate.
Keywords:
Dendrochronology; Tree Rings; Dendroclimatology; Statistical Analysis
ISSN:
0041-2198
Additional Links:
http://www.treeringsociety.org

Full metadata record

DC FieldValue Language
dc.language.isoen_USen_US
dc.titleThe Smoothing Spline: A New Approach to Standardizing Forest Interior Tree-Ring Width Series for Dendroclimatic Studiesen_US
dc.contributor.authorCook, Edward R.en_US
dc.contributor.authorPeters, Kennethen_US
dc.contributor.departmentLamont-Doherty Geological Observatory, Palisades, New Yorken_US
dc.date.issued1981-
dc.rightsCopyright © Tree-Ring Society. All rights reserved.en_US
dc.description.collectioninformationThis item is part of the Tree-Ring Research (formerly Tree-Ring Bulletin) archive. It was digitized from a physical copy provided by the Laboratory of Tree-Ring research at The University of Arizona. For more information about this peer-reviewed scholarly journal, please email the Editor of Tree-Ring Research at editor@treeringsociety.org.en_US
dc.publisherTree-Ring Societyen_US
dc.identifier.journalTree-Ring Bulletinen_US
dc.identifier.citationCook, E.R., Peters, K. 1981. The smoothing spline: a new approach to standardizing forest interior tree-ring width series for dendroclimatic studies. Tree-Ring Bulletin 41:45-53.en_US
dc.description.abstractA new approach to removing the non-climatic variance of forest interior tree-ring width series, using the smoothing spline, is described. This method is superior to orthogonal polynomials because it makes no assumptions about the shape of the curve to be used for standardization. Also, because the spline curve can range continuously from a linear least squares fit to cubic interpolation through the data, it is far more flexible than polynomials and provides a more "natural" fit. For computing the spline, we found that specifying the Lagrange multiplier p which appears in the calculus of variation solution rather than the residual variance as suggested by Reinsche was both practical and more efficient. In effect, the smoothing spline is a one-parameter family of low-pass filters defined by p. We describe the general characteristics of these filters in the time and frequency domains and compute the response functions for several of them. The smoothing spline is an excellent tree-ring standardization method because its filtering characteristics are well defined. Its utility for dendroclimatology should be considerable since, outside of semiarid environments, sites similar to forest interiors predominate.en_US
dc.subjectDendrochronologyen_US
dc.subjectTree Ringsen_US
dc.subjectDendroclimatologyen_US
dc.subjectStatistical Analysisen_US
dc.identifier.citationCook, E.R., Peters, K. 1981. The smoothing spline: a new approach to standardizing forest interior tree-ring width series for dendroclimatic studies. Tree-Ring Bulletin 41:45-53.en_US
dc.identifier.issn0041-2198-
dc.identifier.urihttp://hdl.handle.net/10150/261038-
dc.identifier.journalTree-Ring Bulletinen_US
dc.typeArticleen_US
dc.relation.urlhttp://www.treeringsociety.orgen_US
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