J. For. Sci., 2011, 57(11):491-499 | DOI: 10.17221/134/2010-JFS

Detrending ability of several regression equations in tree-ring research: a case study based on tree-ring data of Norway spruce (Picea abies [L.])

M. Bošeľa1,2, L. Kulla1, R. Marušák2
1 National Forest Centre - Forest Research Institute in Zvolen, Zvolen, Slovakia
2 Faculty of Forestry and Wood Sciences, Czech University of Life Sciences Prague, Prague, Czech Republic

The aim of this study was to investigate tree-ring width variability and to distinguish groups of trees with similar growth trends in order to study tree growth responses to various stand and site conditions. The methods of cluster analysis were employed for this purpose. Four distinct groups of trees were identified. For each group, the mean tree-ring curve was calculated in order to look for the main signals that distinguish the groups from one another. The idea behind this was to divide the samples into homogeneous groups with similar growth trends, representing typical examples of variability of the studied Norway spruce population. In the next step, several regression functions were studied and compared for their ability to fit the ring-width-age data applied to the mean ring-width curve of each group. Fischer's F-test was used to test the differences in goodness of fit between the equations in each group. From all examined/applied equations, smoothing spline, polynomial of degree 5, and Šmelko-Burgan functions were found to be the most universal and suitable for detrending of all examined ring width curves. Hugershoff function was found to be suitable for curves with one local maximum only. Exponential and Korf's functions were unsatisfactory for the purposes of tree ring curves detrending.

Keywords: radial increment; growth functions; empirical fitting; tree-ring indices; dendroclimatology

Published: November 30, 2011  Show citation

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Bošeľa M, Kulla L, Marušák R. Detrending ability of several regression equations in tree-ring research: a case study based on tree-ring data of Norway spruce (Picea abies [L.]). J. For. Sci. 2011;57(11):491-499. doi: 10.17221/134/2010-JFS.
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    References

    1. Adams H.D., Kolb T.E. (2005): Tree growth response to drought and temperature in a mountain land-scape in northern Arizona, USA. Journal of Biogeography, 32: 1629-1640. Go to original source...
    2. Akaike H. (1974): A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19: 716-723. Go to original source...
    3. Andalo C., Beaulieu J., Bosquet J. (2005): The impact of climate change on growth of local white spruce populations in Quebec. Canadian Forest Ecology Management, 205: 169-182. Go to original source...
    4. Bijak S. (2010): Tree-ring chronology of silver fir and its dependence on climate of the Kaszubskie Lakeland (Northern Poland). Geochronometria, 35: 91-94. Go to original source...
    5. Bolli J.C., Rigling A., Bugmann H. (2007): The influence of changes in climate and land-use on regeneration dynamics of Norway spruce at the treeline in the Swiss Alps. Silva Fennica, 41: 55-70. Go to original source...
    6. Bouriaud O., Popa I. (2008): Comparative dendroclimatic study of Scot pine, Norway spruce, and silver fir in the Vrancea Range, Eastern Carpathian Mountains. Trees, 23: 95-106. Go to original source...
    7. Bräker O.U. (1981): Der Alterstrend bei Jahrringdichten und Jahrringbreiten von Nadelhölzern und sein Ausgleich. Mitteilungen der Forstlichen Bundesversuchsanstalt, 142: 75-102.
    8. Brienen R.J.W., Zuidema P.A. (2005): Relating tree growth to rainfall in Bolivian rain forests: a test for six species using tree ring analysis. Oecologia, 146: 1-12. Go to original source... Go to PubMed...
    9. Burgan K. (1983): Modeling of the Selected Biometric Relationships in Forest Stands. [Ph.D. Thesis.] Zvolen, Technical University in Zvolen: 133. (in Slovak)
    10. 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. Go to original source... Go to PubMed...
    11. Carrer M., Urbinati C. (2006): Long-term change in the sensitivity of tree-ring growth to climate forcing in Larix deciduas. New Phytologist, 170: 861-872. Go to original source... Go to PubMed...
    12. Cook E., Briffa K. (1992): Data analysis, introduction. In: Cook E., Kairiukstis L. (eds): Methods of Dendrochronology: Application in the Environmental Sciences. Dordrecht, Kluwer Academic Publishers: 397.
    13. Cook E.R., Peters K. (1981): The smoothing spline: A new approach to standardizing forest interior tree-ring width series for dendroclimatic studies. Tree-Ring Bulletin, 41: 45-53.
    14. Cook E. R., Kairiukstis L.A. (1990): Methods of Dendrochronology: Application in the Environmental Sciences. Dordrecht, Kluwer Academic Publishers.
    15. Fang K., Gou X., Peters K., Li J., Zhang F. (2010): Removing biological trends from tree-ring series: testing modified Hugershoff curves. Tree-Ring Research, 66: 51-59. Go to original source...
    16. Fritts H.C. (1976): Tree Rings and Climate. New York, Academic Press: 567.
    17. Fritts H.C., Vaganov E.A., Sviderskaya I.V., Shashkin A.V. (1991): Climatic variation and tree-ring structure in conifers: empirical and mechanistic models of tree-ring width, number of cells, cell-wall thickness and wood density. Climate Research, 1: 97-116. Go to original source...
    18. Gray S.T., Fastie Ch.L., Jackson S.T., Betancourt J.L. (2004): Tree-ring-based reconstruction of precipitation in the Bighorn Basin, Wyoming, since 1260 A.D. Journal of Climate, 17: 3855-3865. Go to original source...
    19. Holmes R.L., (1994): DPL-Dendrochronology Program library. Tucson, University of Arizona.
    20. Korf V. (1961): Growth process of forest stands and general increment equation. Lesnictví, 7: 231-256. (in Czech)
    21. Melvin T.M. (2004): Historical growth rates and changing climate sensitivity of boreal conifers. [PhD Thesis.] Norwich, University of East Anglia.
    22. Pérez P.J., Kahle H.P., Spiecker H. (2005): Growth trends and relationships with environmental factors for scots pine [Pinus sylvestris (L.)] in Brandenburg. Investigación Agraria: Sistemas y Recursos Forestales, 14: 64-78. Go to original source...
    23. Podlaski R. (2002): Radial growth trends of fir (Abies alba Mill.), beech (Fagus sylvatica L.) and pine (Pinus sylvestris L.) in the Świętokrzyski National Park (Poland). Journal of Forest Science, 48: 377-387. Go to original source...
    24. Pretzsch H. (2009): Forest Dynamics, Growth and Yield: From Measurement to Model. Berlin; Heidelberg, Springer: 664. Go to original source...
    25. Ricker M., Guiterrez-Garcia G., Daly D.C. (2007): Modeling long-term tree growth curves in response to warming climate: test cases from a subtropical mountain forest and a tropical rainforest in Mexico. The Canadian Journal of Forest Research, 37: 977-989. Go to original source...
    26. Ruppert D., Wand M.P., Carroll R.J. (2003): Semiparametric Regression. Cambridge, Cambridge University Press: 386. Go to original source...
    27. Schweingruber F.H. (1996): Tree Rings and Environment: Dendroecology. Swiss Federal Institute for Forest, Snow and Landscape Research and Paul Haupt Verlag: 609.
    28. StatSoft, Inc. (2009): STATISTICA (data analysis software system). Version 9.0., Available at www. statsoft.com
    29. Su H.X., Sang W.G., Wang Y.X., Ma K.P. (2007): Simulating Picea schrenkiana forest productivity under climatic changes and atmospheric CO2 increase in Tianshan Mountains, Xinjiang Autonomous Region China. Forest Ecology Management, 246: 273-284. Go to original source...
    30. Šmelko Š., Wenk G., Antanaitis V. (1992): Growth, Structure and Production of Forest. Bratislava, Príroda: 342. (in Slovak)
    31. Vyskot M., Doležal B., Jurča J., Korf V., Korpeľ Š., Macháč D., Polák L., Priesol A., Řehák J., Wolf J. (1971): Bases of Growth and Production of Forests. Praha, SZN: 440. (in Czech)
    32. Waren W.G. (1980): On removing the growth trend from dendrochronological data. Tree-Ring Bulletin, 40: 35-44
    33. Wilson R.J.S., Hopfmueller M. (2001): Dendrochronological investigations of Norway spruce along an elevation transect in the Bavarian Forest, Germany. Dendrochronologia, 19: 67-79.

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