BYU

Abstract by Tyler Mansfield

Personal Infomation


Presenter's Name

Tyler Mansfield

Degree Level

Undergraduate

Abstract Infomation


Department

Mathematics

Faculty Advisor

Ben Webb

Title

Modeling Taylor’s Law with Exponential Growth and Migration

Abstract

Taylor’s Law is an empirically observed phenomena that relates the mean size of n populations to the respective variance by a power law relationship. This empirical formula has been observed in hundreds of species, as well as in non-ecological systems such as cancer metastasis, spread of disease, gene structures, and the distribution of prime numbers. In modeling population dynamics, previous mathematical research has shown that exponential growth is a contributing factor to this law holding. We build upon this by introducing migration between these populations and discuss the factors that predict whether Taylor’s Law will hold for a given pattern (network) of migration within our model.