The climate reconstructions derived from tree rings tend to show erroneous long-term oscillations. The aim of our paper is to describe the phenomenon and to uncover its reasons. In order to derive formulae describing the long-term error, the dependence of the tree rings on the age is not used in the reconstruction. The erroneous oscillations turn out to be due to data paucities over the years. Accordingly, such long-term errors can be present in any tree ring analysis with such paucities.
The climate reconstructions derived from tree rings tend to show erroneous long-term...
Received: 27 Feb 2016 – Accepted for review: 19 Mar 2016 – Discussion started: 23 Mar 2016
Abstract. Recently it has been shown that climate estimates derived from tree rings often tend to show erroneous long-term oscillations, i.e. there are spectral biases at low frequencies. The result is independent of parameter studied (precipitation or temperature) or measured proxy (tree ring widths or maximum latewood densities). In order to find reasons for such universal errors, a new reconstruction method is introduced where no age dependence of the tree rings is determined. The aim, however, is not to generate better reconstructions but to study error variances of long-term oscillations. It is shown that paucities and data gaps due to missing trees increase the risk for erroneous low-frequency variability. A general approximate formula is introduced in order to estimate the presence of such a risk. A case study using Torneträsk data from Northern Sweden illustrates how longer periods with missing trees cause paucities and gaps leading to erroneous climatic oscillations. Systematic underestimation of the temperature around AD 1600 and after 1950 (“divergence”) is in the study case explained by such data gaps and paucities.
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The climate reconstructions derived from tree rings tend to show erroneous long-term oscillations. The aim of our paper is to describe the phenomenon and to uncover its reasons. In order to derive formulae describing the long-term error, the dependence of the tree rings on the age is not used in the reconstruction. The erroneous oscillations turn out to be due to data paucities over the years. Accordingly, such long-term errors can be present in any tree ring analysis with such paucities.
The climate reconstructions derived from tree rings tend to show erroneous long-term...