1st Edition
Fractals and Multifractals in Ecology and Aquatic Science
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
Biography
Laurent Seuront is a Professor in Biological Oceanography at the Flinders University (Adelaide, Australia) and a Senior Research Scientist at the South Australian Research and Development Institute (West Beach, Australia). Prior to his present position, he was a research fellow of the Japanese Society for the Promotion of Science at the Tokyo University of Fisheries (1999-2000) and a research scientist at the Centre National de la Recherche Scientifique (CNRS) in France (2001-2008). Among multiple awards, he recently received the CNRS Bronze Medal in France (2007) in recognition of his early career achievements, and a prestigious Australian Professorial Fellowship from the Australian Research Council.
