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Fractal analysis of leaves: are all leaves self-similar along the cane?

   | Aug 24, 2013

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Borkowski, W. (1999). Fractal dimension based features are useful descriptors of leaf complexity and shape. Can.J. For.Res., 29, 1301−1310. DOI:10.1139/cjfr-29-9-1301.10.1139/cjfr-29-9-1301Search in Google Scholar

Bradbury, R.H., Reichelt, R.E. & Green D.G. (1984). Fractals in ecology: methods and interpretation. Mar. Ecol. Prog. Ser., 14, 295−296. DOI:10.3354/meps014295.10.3354/meps014295Search in Google Scholar

Bruno, O.M., Plotze, R.D., Falvo, M. & de Castro M. (2008). Fractal dimension applied to plant identification. Inf. Sci. (NY), 178, 2722−2733. DOI:10.1016/j.ins.2008.01.023.10.1016/j.ins.2008.01.023Search in Google Scholar

Dicke, M. & Burrough P.A. (1988). Using fractal dimensions for characterizing tortuosity of animal trails. Physiol. Entomol., 13, 393−398. DOI:10.1111/j.1365-3032.1988.tb01122.x.10.1111/j.1365-3032.1988.tb01122.xSearch in Google Scholar

Fitter, A.H. & Stickland T.S. (1992). Fractal characterization of root system architecture. Funct. Ecol., 6, 632−635. DOI:10.2307/2389956.10.2307/2389956Search in Google Scholar

Gastner, M.T., Oborny B., Zimmermann, D.K. & Pruessner G. (2009). Transition from connected to fragmented vegetation across an environmental gradient: scaling laws in ecotone geometry. Am. Nat., 174, E23−E39. DOI:10.1086/599292.10.1086/59929219426110Search in Google Scholar

Gazda, A. (1996). The geometry of fractal and its applications in ecology. Wiad. Ekol., 62, 163−178.Search in Google Scholar

Hastings, H.M. & Sugihara G. (1993). Fractals − a user‘s guide for the natural sciences. Oxford, UK: Oxford University Press.Search in Google Scholar

Jonckheere, I., Nackaerts, K., Muys, B., van Aardt, J. & Coppin P. (2006). A fractal dimension-based modelling approach for studying the effect of leaf distribution on LAI retrieval in forest canopies. Ecol. Modell., 197, 179−195. DOI:10.1016/j.ecolmodel.2006.02.036.10.1016/j.ecolmodel.2006.02.036Search in Google Scholar

Kalliokoski, T., Sievanen, R. & Nygren P. (2010). Tree roots as self-similar branching structures: axis differentiation and segment tapering in coarse roots of three boreal forest tree species. Trees, 24, 219-236. DOI:10.1007/ s00468-009-0393-1.10.1007/s00468-009-0393-1Search in Google Scholar

Kincaid, D.T. & Schneider R.B. (1983). Quantification of leaf shape with a microcomputer and Fourier transform. Can. J. Bot., 61, 2333−2342. DOI:10.1139/b83-256.10.1139/b83-256Search in Google Scholar

Mandelbrot, B.B. (1983). The fractal geometry of nature. New York: WH Freeman & Co.Search in Google Scholar

Morse, D.R., Lawton, J.H., Dodson, M.M. & Williamson M.H. (1985). Fractal dimension of vegetation and the distribution of arthropod body lengths. Nature, 314, 731−733. DOI:10.1038/314731a0.10.1038/314731a0Search in Google Scholar

Palmer, M.W. (1988). Fractal geometry: a tool for describing spatial pattern of plant communities. Vegetatio, 75, 91−102. DOI:10.1007/BF00044631.10.1007/BF00044631Search in Google Scholar

Peitgen, H.-O. & Soupe D. (1988). The science of fractal images. Berlin, Heidelberg, New York, Tokyo: Springer- Verlag.Search in Google Scholar

Prusinkiewicz, P., Lindenmayer, A. & Hanan J. (1988). Developmental models of herbaceous plants for computer imagery purposes. Computer Graphics, 22, 141−150. DOI:10.1145/378456.378503.10.1145/378456.378503Search in Google Scholar

Siso, S., Camarero, J.J. & Gil-Pelegrin E. (2001). Relationship between hydraulic resistance and leaf morphology in broadleaf Quercus species: a new interpretation of leaf lobation. Trees, 15, 341-345. DOI:10.1007/ s004680100110.10.1007/s004680100110Search in Google Scholar

Sugihara, G. & May M.M. (1990). Applications of fractals in ecology. Trends Ecol. Evol., 5, 79−86. DOI: 10.1016/0169-5347(90)90235-6.10.1016/0169-5347(90)90235-6Search in Google Scholar

Tokarski, R. (1992). FAN Fractal analyzer − manual. Manuscript.Search in Google Scholar

Tutin, T.G., Heywood, V.H., Burges, N.A., Moore, D.M., Valentine, D.H., Walters S.M. & Webb D.A. (1968). FloraEuropaea. Vol. 2. Cambridge: Cambridge University Press.Search in Google Scholar

Vlcek, J. & Cheung E. (1986). Fractal analysis of leaf shapes. Can. J. For. Res., 16, 124−127. DOI:10.1139x86-020.Search in Google Scholar

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Life Sciences, Ecology, other, Chemistry, Environmental Chemistry, Geosciences, Geography