Perform power transformation simultaneously for a data.frame of
raw tree-ring width series.
Usage
powt(rwl)
Arguments
rwl
a data.frame of raw tree-ring widths series, such as that
produced by read.rwl or read.fh
Value
A data.frame containing the power transformed ring width series.
Details
This procedure is a variance stabilization technique implemented after
Cook & Peters (1997): for each series a linear model is fitted on the
logs of level and spread, where level is defined as the local mean
\(M_t = \left(R_t + R_{t-1}\right)/2\) with
ring widths R, and spread S is the local standard deviation defined as
\(S_t = \left|R_t - R_{t-1}\right|\). The
regression coefficient b from \(\log S = k + b \log M\) is then used for the power transform \(\star{R}_t =
R_t^{1-b}\).
References
Cook, E. R. and Peters, K. (1997) Calculating unbiased
tree-ring indices for the study of climatic and environmental
change. The Holocene, 7(3), 361<U+2013>370.