Dendroclimatic calibration in R: The bootRes package for response and correlation function analysis

Abstract To understand the effect of climate on tree-ring features, such as width or density, tree-ring data have to be calibrated against instrumental records. The high degree of multicollinearity among monthly time series of climate data violates the assumption of independent predictor variables in ordinary least squares regression. Bootstrapped confidence intervals of parameter estimates via regression against the principle components of the predictor variables are a possible solution to that problem. Package bootRes for R implements a flexible interface for bootstrapped response and correlation function analysis and tackles some shortcomings of currently available software. Given the increasing popularity of the free R software for statistical analysis, bootRes should facilitate both using R as a computational environment among tree-ring scientists and implementing new approaches to dendroclimatic calibration.

[1]  Bo Christiansen Reconstructing the NH Mean Temperature: Can Underestimation of Trends and Variability Be Avoided? , 2011 .

[2]  Harold C. Fritts,et al.  Multivariate Techniques for Specifying Tree-Growth and Climate Relationships and for Reconstructing Anomalies in Paleoclimate , 1971 .

[3]  John J. Clague,et al.  A multi‐species dendroclimatic reconstruction of Chilko River streamflow, British Columbia, Canada , 2010 .

[4]  Franco Biondi,et al.  Climate change and oak growth decline: Dendroecology and stand productivity of a Turkey oak (Quercus cerris L.) old stored coppice in Central Italy , 2010, Annals of Forest Science.

[5]  Robert Tibshirani,et al.  Bootstrap Methods for Standard Errors, Confidence Intervals, and Other Measures of Statistical Accuracy , 1986 .

[6]  F. Lebourgeois,et al.  Spatial variation and temporal instability in climate-growth relationships of sessile oak (Quercus petraea [Matt.] Liebl.) under temperate conditions , 2011, Plant Ecology.

[7]  Paolo Cherubini,et al.  On the 'Divergence Problem' in Northern Forests: A review of the tree-ring evidence and possible causes , 2008 .

[8]  Gregory A. Ruark,et al.  PRINCIPAL COMPONENTS REGRESSION TO MITIGATE THE EFFECTS OF MULTICOLLINEARITY , 1991 .

[9]  Friedrich Leisch,et al.  Sweave: Dynamic Generation of Statistical Reports Using Literate Data Analysis , 2002, COMPSTAT.

[10]  F. Lebourgeois,et al.  Size-mediated climate–growth relationships in temperate forests: a multi-species analysis , 2011 .

[11]  Andrew G. Bunn,et al.  A dendrochronology program library in R (dplR) , 2008 .

[12]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[13]  Logan T. Berner,et al.  A latitudinal gradient in tree growth response to climate warming in the Siberian taiga , 2011 .

[14]  E. Cook,et al.  THE SMOOTHING SPLINE: A NEW APPROACH TO STANDARDIZING FOREST INTERIOR TREE -RING WIDTH SERIES FOR DENDROCLIMATIC STUDIES , 1981 .

[15]  Christian Zang,et al.  Zur Baumarteneignung bei Klimawandel : Ableitung der Trockenstress-Anfälligkeit wichtiger Waldbaumarten aus Jahrringbreiten , 2011 .

[16]  Peter John Huybers,et al.  A Bayesian Algorithm for Reconstructing Climate Anomalies in Space and Time. Part I: Development and Applications to Paleoclimate Reconstruction Problems , 2010 .

[17]  J. Guiot,et al.  The Bootstrapped Response Function , 1991 .

[18]  Christian S. Zang,et al.  Size-dependent responses to summer drought in Scots pine, Norway spruce and common oak , 2012, Trees.

[19]  Harold C. Fritts,et al.  Reconstructing large-scale climatic patterns from tree-ring data: t diagnostic analysis. , 1991 .

[20]  Frederick Mosteller,et al.  Data Analysis and Regression , 1978 .

[21]  H. Fritts,et al.  Tree Rings and Climate. , 1978 .

[22]  David Frank,et al.  Climate signal age effects—Evidence from young and old trees in the Swiss Engadin , 2008 .

[23]  Franco Biondi,et al.  Are Climate-Tree Growth Relationships Changing in North-Central Idaho, U.S.A.? , 2000 .

[24]  Franco Biondi,et al.  DENDROCLIM2002: A C++ program for statistical calibration of climate signals in tree-ring chronologies , 2004, Comput. Geosci..

[25]  D. Nychka,et al.  The Value of Multiproxy Reconstruction of Past Climate , 2010 .

[26]  John Philip Cropper,et al.  Multicollinearity within Selected Western North American Temperature and Precipitation Data Sets , 1984 .

[27]  Chris S. M. Turney,et al.  Non-uniform interhemispheric temperature trends over the past 550 years , 2010 .