Checking the stability of correlation of chronologies over time: an example on Pinus pinea L. rings widths

Authors

  • Sergio Camiz CNR – ISPC, Rome
  • Francesco Spada University of Rome, La Sapienza

DOI:

https://doi.org/10.12899/asr-2455

Keywords:

Evolutionary Principal Component Analysis, Evolutionary Hierarchical Factor Classification , Pinus pinea L. , chronologies

Abstract

An exploratory study concerning the variation over time of multidimensional time series allows to check to what extent factors and dendrograms issued by ordination and classification methods, keep stable over time or change – even dramatically. In this paper, using five chronologies of Pinus pinea L. growth rings from literature, principal components analysis and hierarchical factor classification are applied on a ten years window, moving along time-series. These may be resumed through graphics showing the variation of the eigenvalues issued by the principal component analyses and of the correlations between time-series and principal components, through their corresponding time series, as well as through an animation and a compact representation of the time series of dendrograms. The results show that the studied period could be partitioned in seven intervals different in both correlations and groups structure, some of them highly stable: this suggests a second study, where two time intervals, identified as more homogeneous, showed really different structures.

References

Aluja-Banet T., Morineau A., Sanchez G. 2018 - Principal Component Analysis for Data Science. [Online]. Available: https://pca4ds.github.io [September 2023].

Büntgen U., Frank D.C., Kaczka R.J., Verstege A., Zwijacz-Kozica T., Esper J. 2007 - Growth responses to climate in a multi-species tree-ring network in the Western Carpathian Tatra Mountains, Poland and Slovakia. Tree Physiology 27: 689–702. DOI: 10.1093/treephys/27.5.689.

Caliński T., Harabász J. 1974 - A dendrite method for cluster analysis. Communications in Statistics 3(1): 1–27. DOI: 10.1080/03610927408827101.

Camiz S. 2021 - Exploratory classification of time-series. In: “Handbook of Research on Emerging Theories, Models, and Applications of Financial Econometrics”, Mercangöz B.A. Ed., Springer Nature, Cham (CH): 1–29. DOI: 10.1007/978-3-030-54108-8_1.

Camiz S., Diblasi A. 2013 - Evolutionary principal component analysis. In: “Trabajos Completos, XLI Coloquio Argentino de Estadística”, 16-18 Octubre 2013, Universidad de Cuyo en Mendoza (Argentina, on CD-ROM): 680–685.

Camiz S., Maulucci R., Roig F.A. 2010 - Exploratory analysis methods applied to dendrochronological series. In: “Actas E-ICES 5”, Malargüe (Mendoza, Argentina), 24-27 Octubre 2009, Mendoza, Papu O. Ed., Comisión Nacional de Energía Atómica: 61–67.

Camiz S., Roig F.A. 2011 - Evolutionary analysis applied to tree-ring chronologies series. In: “Actas E-ICES 6”, CNEA 2011, Malargüe (Mendoza, Argentina), 4-8 Octubre 2010, Buenos Aires, Comisión Nacional de Energía Atómica: 30–37.

Camiz S., Spada F., Denimal J.-J., Piraino S. 2020 - Hierarchical factor classification of dendrochronological time-series. Annals of Silvicultural Research 45: 62–75. DOI: 10.12899/asr-1968.

Denimal J.-J. 2001 - Hierarchical Factorial Analysis. In: “Actes du 10th International Symposium on Applied Stochastic Models and Data Analysis”, Compiègne, 12-15 Juin 2001.

Denimal J.-J. 2007 - Classification hiérarchique optimisée d’un tableau de mesures. Revue de Statistique Appliquée 148: 29–61.

Felsenstein J. 2021 - The Newick tree format. [Online]. Available: https://evolution.genetics.washington.edu/phylip/newicktree.html. [August 19, 2021].

Fisher W.D. 1958 - On grouping for maximum homogeneity. Journal of the American Statistical Association 53(284): 789–798.

Frank D., Esper J. 2005 - Characterization and climate response patterns of a high-elevation, multi-species tree-ring network in the European Alps. Dendrochronologia 22(2): 107–121. DOI: 10.1080/01621459.1958.10501479.

Jolliffe I. 2002 - Principal Component Analysis. Springer, Berlin. ISBN: 978-1-4757-1904-8.

Lebart L., Piron M., Morineau A. 2006 - Statistiques exploratoire multidimensionnelle: Visualisations et inférences en fouille de données. Paris, Dunod.

Leland C., Pederson N., Hessl A., Nachin B., Davi N., D’Arrigo R., Jacoby G. 2013 - A hydroclimatic regionalization of central Mongolia as inferred from tree rings. Dendrochronologia 31(3): 205–215. DOI: 10.1016/j.dendro.2012.11.003.

Peters K., Jacoby G.C., Cook E.R. 1981 - Principal components analysis of tree-ring sites. Tree-Ring Bulletin 41: 1–19.

Piraino S., Camiz S., Filippo A.D., Piovesan G., Spada F. 2013 - A dendrochronological analysis of Pinus pinea L. on the italian mid-tyrrhenian coast. Geochronometria 40: 77–89. DOI: 10.2478/s13386-012-0019-z.

Robinson D.F., Foulds L.R. 1979 - Comparison of weighted labelled trees. In: “Combinatorial Mathematics 6”, Horadam A.F., Wallis W.D. Eds., Lecture Notes in Mathematics, Springer, Berlin 748: 119–126. DOI: 10.1007/BFb0102690.

Robinson D.F., Foulds L.R. 1981 - Comparison of phylogenetic trees. Mathematical Biosciences 53(1-2): 131–147. DOI: 10.1016/0025-5564(81)90043-2.

Wikipedia contributors 2021 - Newick format. Wikipedia, the free encyclopedia. [Online]. Available: https://en.wikipedia.org/wiki/Newick_format. [August 19, 2021].

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Published

2023-10-16 — Updated on 2023-10-17

How to Cite

Camiz, S., & Spada, F. (2023). Checking the stability of correlation of chronologies over time: an example on Pinus pinea L. rings widths. Annals of Silvicultural Research, 49(1), 13–23. https://doi.org/10.12899/asr-2455

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