Application of multifractals to the analysis of vegetation pattern

作者: István Scheuring , Rudolf H. Riedi

DOI: 10.2307/3235975

关键词: EcologyFractal analysisStatistical physicsVegetation (pathology)FractalInformation theoryMultifractal systemComputer scienceScale (map)Landscape ecologyFractal dimension

摘要: . A method of characterizing the geometry and statistical nature vegetation patterns for studying their fractal dimension is proposed. The utilizes concept multifractals, especially suited to description complex patterns. properties multifractals role in detecting scale are explained. We suggest an extension term multifractal use landscape ecology coenology connected with many different kinds points. Relationships between information-statistical functions dimensions introduced shown. computer-simulated example demonstrates illustrates its applicability science.

参考文章(25)
B. T. Milne, Lessons from applying fractal models to landscape patterns Ecological studies. ,vol. 82, pp. 199- 235 ,(1991)
E. H. Lloyd, H. E. Hurst, R. P. Black, Y. M. Simaika, Long-Term Storage: An Experimental Study. Journal of the Royal Statistical Society. Series A (General). ,vol. 129, pp. 591- 593 ,(1966) , 10.2307/2982267
Susanna C. Manrubia, Ricard V. Solé, Bartolome Luque, Multifractals in Rainforest Ecosystems: Modelling and Simulation Proceedings of the Second IFIP Working Conference on Fractals in the Natural and Applied Sciences. pp. 397- 408 ,(1993)
Benoit B. MANDELBROT, SELF-AFFINE FRACTAL SETS, I: THE BASIC FRACTAL DIMENSIONS Fractals in Physics. pp. 3- 15 ,(1986) , 10.1016/B978-0-444-86995-1.50004-4
Michael F Barnsley, Robert L Devaney, Benoit B Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F Voss, Richard F Voss, None, Fractals in nature: From characterization to simulation The Science of Fractal Images. pp. 21- 70 ,(1988) , 10.1007/978-1-4612-3784-6_1
István Scheuring, The fractal nature of vegetation and the species-area relation Theoretical Population Biology. ,vol. 39, pp. 170- 177 ,(1991) , 10.1016/0040-5809(91)90034-D
Harold M. Hastings, Richard Pekelney, Richard Monticciolo, David Vun Kannon, Diane Del Monte, Time scales, persistence and patchiness Biosystems. ,vol. 15, pp. 281- 289 ,(1982) , 10.1016/0303-2647(82)90043-0
Bruce T. Milne, Spatial Aggregation and Neutral Models in Fractal Landscapes The American Naturalist. ,vol. 139, pp. 32- 57 ,(1992) , 10.1086/285312
John W. Crawford, Iain M. Young, A multiple scaled fractal tree Journal of Theoretical Biology. ,vol. 145, pp. 199- 206 ,(1990) , 10.1016/S0022-5193(05)80125-0