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Filtering by: Advisor Koslicki, David Degree Field Mathematics

The Mathematics of Critical Shifts in Ecological Networks with Alternative Stable State Theory, A Potential Framework for Early Warning Indicators

Creator:

Kupperman, Michael D.

Abstract:

A long running problem in mathematical biology is the prediction of extinction events, a specialized case of the larger global stability problem found in differential equations and dynamical systems theory. A central technical question is how to introduce the randomness observed in real ecological systems not accounted for in deterministic...

Resource Type:

Honors College Thesis

Full Text:

: David Koslicki A long running problem in mathematical biology is the prediction of extinction events, a
Wasserstein β-Diversity Metrics over Graphs: Derivation, Efficient Computation and Applications

Creator:

McClelland, Jason

Abstract:

Microbial ecology has been transformed by metagenomics, the study of the genetic in-formation in entire communities of organisms. In the following we develop metagenomic tools arising from the classic Wasserstein metric as applied to questions regarding the diversity between microbial communities. We provide a novel proof of the characteriza-tion of...

Resource Type:

Dissertation

Full Text:

of my education. I would �rst like to thank my advisor, David Koslicki. Without his patience