Multivariate Techniques for Specifying Tree-Growth and Climate Relationships and for Reconstructing Anomalies in Paleoclimate

Abstract

Ring widths from trees on certain sites reflect climatic variation. Therefore, long time series derived from replicated and precisely dated ring -width chronologies may be utilized to extend climatic records into prehistoric times. Multivariate analyses of tree -ring chronologies from western North America are used to derive response functions from which one can ascertain what climatic information each ring -width chronology contains.In addition, multivariate analyses are utilized to calibrate a large number of ring -width chronologies of diverse response functions and from widely dispersed sites with a large number of regional climatic variables. A series of transfer functions are derived which allow estimates of anomalous climatic variation from tree -ring records.Reconstructions of anomalous variation in atmospheric circulation for portions of the northern hemisphere back to A.D. 1700 are obtained by applying the transfer functions to tree -ring data for time periods when ring data are available but climatic data are not.

The Role of Microhabitat in Structuring Desert Rodent Communities

“…Vegetation principle components and their significance levels are in Table 4 components 4 through 10) usually are discarded prior to using their amplitudes in multiple regressions (Fritts et al 1971), this was not done here because rodents may not have confined their attention to fea tures that contribute major amounts to over-all patterns of variation in vegetation. Indeed, the regressions show that in some cases an insig nificant principle component correlated significantly with rodent density P_.…”

“…The matrix of significant regression coefficients of principle components was then converted to a new set of coefficients associated with each of the original microhabitat variables by multiplying the regression co efficients by their corresponding principle components. This technique is identical to that described in detail by Fritts et al (1971) in analyzing tree ring-climate relationships.…”

Variations of Climate-Growth Response of Major Conifers at Upper Distributional Limits in Shika Snow Mountain, Northwestern Yunnan Plateau, China

“…The response function is a linear multiple regression technique that uses the principal components of monthly climatic variables to estimate tree-ring growth and is usually applied in climate-growth analyses [37]. We also used a 32-year moving window with Forward evolutionary intervals to study the temporal stability of climate-growth relationships, carried out with the Evolutionary and Moving…”

An integrated approach to the estimation of streamflow drought quantiles / Une méthode intégrée d’estimation des quantiles de sécheresse hydrologique

“…The procedure is regression based and is used to estimate monthly streamflow values based on annual growth rings from a set of tree ring data. The methodology outlined below follows, in part, that presented by Fritts (1976) and Cook & Kairiukstis (1989).…”

“…Fritts (1971Fritts ( , 1976) was a leader in this area and defined the principles for climate reconstructions. Fritts et al (1971) were the first to discuss the use of multivariate statistics in tree ring climate reconstructions.…”