5#1

Diversity Evolution

Russell K. Standish
School of Mathematics, University of New South Wales
2052, Sydney, Australia
R.Standish@unsw,.edu.au
http://parallel.hpc.unsw.edu.au/rks

Abstract:

Bedau     has developed a general set of evolutionary statistics that quantify the adaptive component of evolutionary processes. On the basis of these measures, he has proposed a set of 4 classes of evolutionary system. All artificial life sytems so far looked at fall into the first 3 classes, whereas the biosphere, and possibly the human economy belongs to the 4th class. The challenge to the artificial life community is to identify exactly what is difference between these natural evolutionary systems, and existing artificial life systems. At ALife VII, I presented a study using an artificial evolutionary ecology called Eco Lab.  Bedau's statistics captured the qualitative behaviour of the model. Eco Lab exhibited behaviour from the first 3 classes, but not class 4, which is characterised by unbounded growth in diversity. Eco Lab exhibits a critical surface given by an inverse relationship between connectivity and diversity, above which the model cannot tarry long. Thus in order to get unbounded diversity increase, there needs to be a corresponding connectivity reducing (or food web  pruning) process. This paper reexamines this question in light of two possible processes that reduce ecosystem  connectivity: a tendency for specialisation  and increase in biogeographic  zones through continental drift.



Russell Standish
2002-11-13