Fractals and Multifractals in Ecology and Aquatic Science

ISBN: 9780849327827 出版年：2009 页码：366 Seuront, Laurent CRC Press

Introduction About Geometries and Dimensions From Euclidean to Fractal Geometry Dimensions Self-Similar Fractals Self-Similarity, Power Laws, and the Fractal Dimension Methods for Self-Similar Fractals Self-Affine Fractals Several Steps toward Self-Affinity Methods for Self-Affine Fractals Frequency Distribution Dimensions Cumulative Distribution Functions and Probability Density Functions The Patch-Intensity Dimension, Dpi The Korcak Dimension, DK Fragmentation and Mass-Size Dimensions, Dfr and Dms Rank-Frequency Dimension, Drf Fractal-Related Concepts Some Clarifications Fractals and Deterministic Chaos Fractals and Self-Organization Fractals and Self-Organized Criticality Estimating Dimensions with Confidence Scaling or Not Scaling? That Is the Question Errors Affecting Fractal Dimension Estimates Defining the Confidence Limits of Fractal Dimension Estimates Performing a Correct Analysis From Fractals to Multifractals A Random Walk toward Multifractality Methods for Multifractals Cascade Models for Intermittency Multifractals: Misconceptions and Ambiguities Joint Multifractals Intermittency and Multifractals: Biological and Ecological Implications