Eigen analysis of tree-ring records: part 2, posing the eigen problem |
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Authors: | Bao Yang Dmitry M. Sonechkin Nina M. Datsenko Nadezda N. Ivashchenko Jingjing Liu Chun Qin |
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Affiliation: | 1. Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, 320 Donggang West Road, 730000, Lanzhou, China 2. P.P. Shirshov Oceanology Institute, Russian Academy of Sciences, Nakhimowskii Prospect 36, 117997, Moscow, Russia 3. Hydrometeorological Research Centre of Russia, Bolshoy Predtechensky Lane 9/11, 123242, Moscow, Russia
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Abstract: | The technique of expanding meteorological fields on eigenvectors of the field covariation matrix is popular. In this paper, we propose for the first time to use a mathematically similar technique to solve the main problem of dendrochronology: classifying variations in tree-ring records as either age- and microenvironment-dependent or climate-induced. Applying this technique to a sample of very long-lived Qilian junipers (Sabina przewalskii Kom.) from the Dulan region in western China, we demonstrate that the ring-width variations projected on the first eigenvector are age-dependent, but those projected on several of the first subsequent vectors are mainly climate-induced. In particular, the second and third projections capture multi-centennial climatic variations, and the variations projected on the fourth through seventh eigenvectors show periodic variations that are probably induced by the 178-year solar cycle. The projections on the smallest eigenvectors seem to be negligible. |
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