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Fractal Analysis

Fractal Analysis

April 2010 | 112 pages | SAGE Publications, Inc
A specialized presentation of fractal analysis oriented to the social sciences

This primer uses straightforward language to give the reader step-by-step instructions for identifying and analyzing fractal patterns and the social process that create them. By making fractals accessible to the social science students, this book has a significant impact on the understanding of human behavior.

This is the only book designed to introduce fractal analysis to a general social science audience.

About the Authors
Series Editor's Introduction
Chapter 1. Introduction to Fractal Analysis

What Are Fractals?

Fractal Dimension: Quantifying Fractal Properties

The Formal Definition of Fractals


Chapter 2. Fractal Analysis of Frequency Distributions
Power Laws


Chapter 3. Fractal Patterns Embedded in Two Dimensions
Estimating the Fractal Dimension of Empirical Data

Summary and Discussion

Chapter 4. Social Processes That Generate Fractals
How We Do Our "To Do" Lists: Preferential Priorities

How We Kill: Attendant Causes, Self-Organized Criticality, and Agent-Based Models

How We Network: Preferential Attachment

How We Decide Where to Live: Diffusion Limited Aggregation

How We Look for Food: Lévy Flights

How We Live Together: Balancing Cohesive and Disruptive Forces

Summary and Discussion

Chapter 5. Advanced Topics in Fractal Analysis
Multiscaling Fractal Patterns

Patterns Embedded in Three Dimensions

Self-Affine Fractals

Fractal Time Series




Chapter 6. Final Considerations
Should I Try Fractal Analysis?

Author Index
Subject Index
Key features
  • Detailed examples help readers learn and understand the analytical methods presented.
  • Matlab codes for programs allow users to implement, on their own, some of the techniques described in the text. Visit for more details.
  • Clear and logical explanations of fractals and their analysis enable the instructor to easily teach and the student to easily learn the material.

For instructors

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ISBN: 9781483343129

ISBN: 9781412971652

This title is also available on SAGE Research Methods, the ultimate digital methods library. If your library doesn’t have access, ask your librarian to start a trial.