Physics – Biological Physics
Scientific paper
1997-05-21
Physics
Biological Physics
6 pages LaTeX source with 2 figures. Submitted to PRL (Jan. 97)
Scientific paper
10.1103/PhysRevLett.79.1413
We consider a continuum version of a previously introduced and numerically studied model of macroevolution (PRL 75, 2055, (1995)) in which agents evolve by an optimization process in a rugged fitness landscape and die due to their competitive interactions. We first formulate dynamical equations for the fitness distribution and the survival probability. Secondly we analytically derive the $t^{-2}$ law which characterizes the life time distribution of biological genera. Thirdly we discuss other dynamical properties of the model such as the rate of extinction and conclude with a brief discussion.
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