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Theory of the Punctuated Equilibrium Model

Chapter

Abstract

The reader who is not mathematically and analytically inclined may skip most of this chapter, in which we take a brief look into the mathematical analytical theory of the punctuated equilibrium model, except for the final section, which points out an insightful analogy between evolution and earthquakes. It is important not to skip this section because the main point of this book is to prepare the ground for, and to develop, relevant analytical insight into the behavior of the model, and hence into the underlying physical processes. The main reason for dealing with grossly oversimplified toy models is that we can study them not only with computer simulations but also with mathematical methods. This puts our results on a firmer ground, so that we are not confined to general grandiose, philosophical claims.

Keywords

Fault Plane Fringe Benefit Nature Work Avalanche Size Landau Institute 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Boettcher, S. and Paczuski, M. Exact Results for Spatio-Temporal Correlations in a Self-Organized Critical Model of Punctuated Equilibrium. Physical Review Letters 76 (1996) 348.CrossRefGoogle Scholar
  2. Deboer, J., Derrida, B., Flyvbjerg, H., Jackson, A., and Wettig, T Simple Model of Self-Organized Biological Evolution. Physical Review Letters 73 (1994) 906.Google Scholar
  3. Flyvbjerg, H., Sneppen, K., and Bak, P Mean Field Theory for a Simple Model of Evolution. Physical Review Letters 71 (1993) 4087.CrossRefGoogle Scholar
  4. Ito, Keisuke. Punctuated Equilibrium Model of Biological Evolution is also a Self- Organized Critical Model of Earthquakes. Physical Review E 52 (1995)3232.Google Scholar
  5. Maslov, S., Paczuski, M., and Bak, P Avalanches and l/f Noise in Evolution and Growth Models. Physical Review Letters 73 (1994) 2162.CrossRefGoogle Scholar
  6. Paczuski, M., Maslov, S., and Bak, PField Theory fora Model ofSelf-Organized Criticality Europhysics Letters 27 (1994) 97.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Per Bak

There are no affiliations available

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