Document Type

Article

Publication Date

2021

Faculty Adviser

Mercredi Chasman

Abstract

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.

Comments

In addition to the paper, this submission includes a presentation titled "The Changes in Marine Communities Through a Discrete, Size-Structured Matrix Model" and the code used to make the model discussed in the paper.

Swanson_presentation.pdf (313 kB)
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

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