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ABSTRACTS

Mass extinctions: living in a big flock can be bad for you!

 

Rinaldo Schinazi

Department of  Mathematics

University of Colorado at Colorado Springs

 

We introduce a spatial stochastic process to model mass extinctions. We assume that a given species lives in flocks and that a new flock is started only when the parent flock reaches a given maximum size. Our model shows that, at least in theory, there is a critical maximum flock size above which a species is certain to disappear and below which it may survive.