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University of Minnesota Morris Digital Well

2021

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Understanding Changes In Marine Communities Through A Discretized, Size-Structured Matrix Model, Courtney Swanson Jan 2021

Understanding Changes In Marine Communities Through A Discretized, Size-Structured Matrix Model, Courtney Swanson

Senior Seminars and Capstones

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.