Theoretical and Applied Climatology

, Volume 107, Issue 1–2, pp 131–141 | Cite as

Eigen analysis of tree-ring records: part 2, posing the eigen problem

  • Bao Yang
  • Dmitry M. Sonechkin
  • Nina M. Datsenko
  • Nadezda N. Ivashchenko
  • Jingjing Liu
  • Chun Qin
Original Paper

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.

Supplementary material

704_2011_468_Fig8_ESM.jpg (22 kb)
Figure S1

Chronologies of the Dulan ring-width extra sample reconstructed using only one principal component from PC(1) through PC(5). (JPEG 21 kb)

704_2011_468_MOESM1_ESM.tif (1.7 mb)
High Resolution (TIFF 1721 kb)
704_2011_468_Fig9_ESM.jpg (23 kb)
Figure S2

Chronologies of the Dulan ring-width extra sample reconstructed using only one principal component from PC(6) through PC(10). (JPEG 23 kb)

704_2011_468_MOESM2_ESM.tif (1.7 mb)
High Resolution (TIFF 1736 kb)
704_2011_468_Fig10_ESM.jpg (22 kb)
Figure S3

Chronologies of the Dulan ring-width extra sample reconstructed using only one principal component from PC(11) through PC(15). (JPEG 22 kb)

704_2011_468_MOESM3_ESM.tif (1.7 mb)
High Resolution (TIFF 1736 kb)
704_2011_468_MOESM4_ESM.doc (70 kb)
ESM 4(DOC 70 kb)

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • Bao Yang
    • 1
  • Dmitry M. Sonechkin
    • 2
  • Nina M. Datsenko
    • 3
  • Nadezda N. Ivashchenko
    • 3
  • Jingjing Liu
    • 1
  • Chun Qin
    • 1
  1. 1.Cold and Arid Regions Environmental and Engineering Research InstituteChinese Academy of SciencesLanzhouChina
  2. 2.P.P. Shirshov Oceanology InstituteRussian Academy of SciencesMoscowRussia
  3. 3.Hydrometeorological Research Centre of RussiaMoscowRussia

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