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We study a lattice model of a multi-species prey-predator system. Numericalresults show that for a small mutation rate the model develops irregularlong-period oscillatory behavior with sizeable changes in a number of species.The periodicity of extinctions on Earth was suggested by Raup and Sepkoski butso far is lacking a satisfactory explanation. Our model indicates that this isa natural consequence of the ecosystem dynamics, not the result of anyextraterrestrial cause.Comment: 4 pages, accepted in Phys.Rev.

Periodicity of mass extinctions without an extraterrestrial cause