Speaker: Laura Storch, Postdoctoral Scholar , Coastal Oregon Marine Experiment Station, OSU
Topic: Analyzing patterns and critical transitions in spatially distributed populations with computational topology
Predicting critical transitions in ecological systems is an active area of research. Understanding and predicting dynamical changes in spatially extended systems is particularly challenging due to their complex dynamics and high dimensionality. Here, using topological data analysis, we explore critical transitions (e.g., an extinction event) in a spatially extended population model with Ricker map growth and coupled patch dispersal. Using computational topology, we calculate "Betti numbers", β1 and β0, for binary images of the two-dimensional population distribution. We then construct Betti number time series and observe the change in Betti numbers corresponding with the change in population distribution patterns en route to an extinction event. Preliminary results indicate a characteristic change in Betti numbers that occur during an extinction event. We hope this technique will eventually be incorporated into the critical transition prediction “toolbox".
Thursday, September 26 at 3:30pm to 4:30pm
Hatfield Marine Science Center, Guin Library Seminar Room
2030 SE Marine Science Dr, Newport, OR 97365