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6.3.2 Data Treatment of Stable Isotope Time Series
One of the great advantages of stable isotopes over the traditional growth proxies is
that there appear to be no long-term age-related trends in stable isotope time series.
The evidence for this conclusion is good for carbon (e.g., Gagen et al. 2007 ) , but
less certain for oxygen and hydrogen. If confirmed, this conclusion would mean
that statistical detrending is not required, and the attendant problems of loss of low-
frequency climate signals can be avoided. The 'segment length curse' (Cook et al.
1995 ) , therefore, would not apply.
Stable carbon isotope series may require some treatment, to remove a 'juve-
nile effect' and to deal with the effect of changing atmospheric composition since
industrialization.
The juvenile effect, seen as depleted but rising values for the first few decades
of a tree's life (Fig. 6.2 ) , varies with site and species, but magnitudes of ~2‰ are
common over 20-40 years (e.g., Bert et al. 1997 ; Duquesnay et al. 1998 ; McCarroll
and Pawellek 2001 ; Anderson et al. 2002 ; Arneth et al. 2002 ; Gagen et al. 2004 ;
Raffalli-Delerce et al. 2004 ) . In Fig. 6.2 , the averaged series reveal the dramatic
juvenile trend in
13 C after atmospheric correction), which lasts
for different periods of time at the two sites. After a few decades the series no longer
show sharply rising
13 C corr (tree-ring
δ
δ
13 C corr values but do continue to show variability. However,
crucially, there is no long-term trend pattern after the juvenile period. Over very
long timescales, the presence or absence of long-term trends in
δ
13 C has not yet
been assessed, but there is good evidence for the lack of age-dependent trends in the
post-juvenile period.
Theories on the cause of the juvenile trend include recycling of respired CO 2 ,
changes in hydraulic conductivity with height gain, and changes in light levels
(Schleser and Jayasekera 1985 ; Heaton 1999 ; McDowell et al. 2002 ) . The effects
can simply be removed by linear detrending (e.g., Wilson and Grinsted 1977 ) or
by using methods such as regional curve standardization (Briffa et al. 1992 , 1996 ;
Gagen et al. 2008 ) , but the simplest solution is to remove the juvenile portion from
each tree prior to analysis (e.g., Tans and Mook 1980 ; Arneth et al. 2002 ) . It is
advisable, at any new site, to analyze a few trees to pith, in order to correctly gauge
the length of the juvenile period for a particular species and site.
Because fossil fuel-derived CO 2 is depleted in 13 C (Freyer and Belacy 1983 ) ,
there is a nonlinear decline in the
δ
13 C atm ) since about
AD 1850. Fractionation is additive (Farquhar et al. 1982 ) , so any change in the
isotopic ratio of CO 2 is incorporated into the isotopic ratio of the cellulose produced
within the tree. Thus, all tree-ring
13 C of atmospheric CO 2 (
δ
δ
13 C series, whether or not they display any trend
over the industrial period, must be corrected for changes in the isotopic ratio of
atmospheric CO 2 . Since annual values of
δ
13 C atm are available (e.g., McCarroll and
δ
13 C values can be corrected to a preindustrial (AD 1850)
Loader 2004 ) , tree-ring
δ
13 C cor ) by using:
standard value of
6.4‰ (
δ
13 C cor = δ
13 C plant
13 C atm +
δ
(
δ
6.4)
(6.4)
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