Mathematics Colloquia and Seminars

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Empirical and theoretical evidence have shown us that ecological systems present a variety of different complex dynamics such as alternative stable states, chaotic dynamics, or long transient dynamics. One of these ecosystems with complex dynamics is the rocky reefs in temperate coastal waters. These rocky reefs exhibit different alternative stable states, of which the kelp forest and urchin barrens are the most studied. Kelp forests generally are highly productive and diverse ecosystems, whereas urchin barrens generally are not. This has made the question of how to manage these ecosystems to preserve current kelp forests an important one. Furthermore, we can use mathematical models to provide important and relevant information for management. In this talk I will present some of the results of my dissertation where I use mathematical models to identify possible long transients and how hysteresis can affect restoration efforts in the short term.