Click here to go back to Evolutionary Systems Home Home  |   Course Information  |   Experimental Programs  |   FAQ  |   Glossary
 
CourseInformation
Course Info Home
Description
Outline
Final Exam
Prerequisites
Registration
Requirements
Syllabus - pdf
Test Information
Text Books

Download Adobe Acrobat Reader
Experimental Programs
Programs Home
Faculty
Lynn S. Fichter
fichtels@jmu.edu
Steve J. Baedke
baedkesj@jmu.edu
Will Frangos
frangowx@jmu.edu
© Lynn S. Fichter

Mailing Address:
Geology &
Environmental Science
MSC 7703
Harrisonburg, VA 22807
Phone Contact:
540.568.6130

Updated: 08/19/2008

Bak-Sneppen Evolutionary Model

  • Download Bak-Sneppen


  • This version of the Bak-Sneppen model was programmed by Steve Baedke, with documentation by Lynn S. Fichter, both of the Dept. of Geology and Environmental Science, James Madison University.


  • This program is copyrighted, but may be downloaded and used by anyone for personal or education purposes as long as the source is acknowledged. Commercial distribution of the program is prohibited.


  • Program is based on a description in: Bak, Per and Kim Sneppen, 1993, Punctuated Equilibrium and Criticality in a Simple Model of Evolution: Physical Review Letters, Vol. 71, No. 24, p 4083-4086
     The Bak-Sneppen (B-S) evolutionary model is an "ecosystem" in which the fitness of each "species" changes because of its relationships with other "species", following two simple rules.
     Rule One - find the species with the lowest fitness and randomly change its fitness.
     Rule Two - at the same time the lowest fit species is changed, also randomly change the fitness of the species to the immediate left and right.

     The model was developed to test the punctuated equilibrium theory of Eldredge and Gould, and to demonstrate self organized criticality. For all its simplicity the model has a lot of robustness and subtlety.
     Bak, Flyvbjerg, and Sneppen in a 1994 paper in the New Scientist (March 12) titled "Can We Model Darwin" explore some of the larger implications of B-S model of evolution.
  1. "We have studied many different versions of this model, and in all cases we found self-organized criticality. The behavior is robust - as it must be to represent real evolution since our models will certainly differ from the real thing when it comes to details."


  2. "But, the most interesting feature of the model is its extreme simplicity and robustness; it has no subtle structure. We believe that only a few conditions need to be satisfied for the model to work. The picture which seems to emerge from our model is that while evolution does take ecology to the critical point by its self-organizing dynamics, the fitness of that point is not particularly high."


  3. "In the critical state the species are connected at all scales, as illustrated by the power law distribution of avalanches. Since all species belonging to a single avalanche become extinct together, they might as well be viewed as a single organism. We thus have a hierarchical organization of organisms, up to and including the total ecology; thus one may speculate that the whole system in the self-organizing critical state acts as one interconnected organism, as suggested by Lovelock's Gaia hypothesis."



     We provide three separate documentations for the model. One is a description of the model and how it behaves. The second are the implications and applications of the model for evolution. The third is a short documentation we hand out to students in classes where we use the model to illustrated punctuated equilibrium and criticality.
 

Download Bak-Sneppen

Documentation

Description - rtf Word, pdf

Applications - rtf Word, pdf

Short Version - rtf Word, pdf

Lab Experiment - pdf

 



   Evolutionary Systems   |   JMU   |   College of Science and Math   |   Dept. of Geology and Environmental Science