Biological traits can be characterized in many ways.  Common characterizations include fecundity vs. longevity as well as higher competitive abilities in high densities vs. dispersal to lower densities.  In their paper, Bertram and Masel unified these common characterizations by introducing a novel approach to the classic lottery model.  The classic lottery model was first developed in the 1980s by Chesson and Warner, and has been described as a stochastic model for “space-limited communities”. This models competition between types of a population, considers three phases (birth, contest, and death) and requires infinite reproduction. Bertram and Masel’s work generalizes the classic lottery model to variable density, which allows for finite reproduction, among other differences. In this talk,  I aim to explore the mathematical underpinnings of Bertram and Masel's model in comparison to Chesson and Warner's original model, and possibly even touch upon what the future may hold for the lottery model.

Place: Hybrid: Math, 402/
Zoom:  https://arizona.zoom.us/j/83541348598 
Password:  BB2022