Simple model of self-organized biological evolution.

We give an exact solution of a recently proposed self-organized critical model of biological evolution. We show that the model has a power law distribution of durations of coevolutionary "avalanches" with a mean field exponent 3/2. We also calculate analytically the finite size effects which cut off this power law at times of the order of the system size.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  K. F. Riley,et al.  Mathematical methods for the physical sciences , 1975 .

[3]  Stuart A. Kauffman,et al.  ORIGINS OF ORDER , 2019, Origins of Order.