We study a discretized, size-structured matrix model which calculates population in a marine community over time. A portion of this model is a discretized version of the McKendrick-von Foerster equation, so we spend some time studying the process of discretizing that equation. We implement a mini model containing 10 size categories instead of the original 50, and we looked at how the marine community behaves over 40 years. We discuss some of the challenges when implementing this model.
Swanson, Courtney, "Understanding Changes in Marine Communities Through a Discretized, Size-Structured Matrix Model" (2021). Senior Seminars and Capstones. 3.
The Changes in Marine Communities Through a Discrete, Size-Structured Matrix Model Presentation
Swanson_Mini Model - 10 Size Classes.pdf (17747 kB)
Mini-Model - 10 Size Classes PDF
Swanson_Mini Model - 10 Size Classes.nb (4351 kB)
Mini-Model - 10 Size Classes NB File