Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1996-11-06
Physics
Condensed Matter
Statistical Mechanics
Complete rewrite, small mistake in model corrected
Scientific paper
We describe a simple model of evolution which incorporates the branching and extinction of species lines, and also includes abiotic influences. A first principles approach is taken in which the probability for speciation and extinction are defined purely in terms of the fitness landscapes of each species. Numerical simulations show that the total diversity fluctuates around a natural system size $N_{\rm nat}$ which only weakly depends upon the number of connections per species. This is in agreement with known data for real multispecies communities. The numerical results are confirmed by approximate mean field analysis.
Head David A.
Rodgers Geoff J.
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