1997/02/19 by Kei Tokita, Tokita, Kei, Ayumu Yasutomi +1
Earth and Planetary Sciences · Physics and Astronomy · #Paleontology and Stratigraphy of Fossils #Advanced Thermodynamics and Statistical Mechanics #Origins and Evolution of Life
paper · pdf · doi:10.48550/arxiv.adap-org/9702004
Introducing the effect of extinction into the so-called replicator equations in mathematical biology, we construct a general model of ecosystems. The present model shows mass extinction by its own extinction dynamics when the system initially has a large number of species ( diversity). The extinction dynamics shows several significant features such as a power law in basin size distribution, induction time, etc. The present theory can be a mathematical foundation of the species-area effect in the paleontologic theory for mass extinction.