Abstract by Clark Brown
Modeling Taylor’s Law with Exponential Growth and Migration
Taylor’s law is an ecological phenomenon that relates the mean density and variance of n populations by a power law relationship. This phenomenon is also observed in epidemiology, genetics, statistical physics, and number theory. Previous research has demonstrated that Taylor’s Law holds for population dynamics modeled by exponential growth. We have built upon this model by introducing migration between these populations. We show that Taylor's Law typically holds in this case as well and discuss our efforts to reduce and refine the conditions under which this holds.