Ecological data and identifiability

Prediction is a persistent challenge in ecology, particularly in connection with the frequency and quality of available data. We are interested in the statistical and dynamic tools that efficiently use available data, as well as how to design experiments to target specific hypotheses and model-fitting goals. I early work, we explored sampling strategies to minimize uncertainty in parameter estimates in greenhouse mesocosm experiments. Similar methods and concerns were also addressed as review, emerging from a workshop on transient dynamics. Recently, we have studied identifiability in an epidemiological context, as part of a mathematics resesarch community.

The key contribution of this work is in determining the conditions under which data can meaningfully inform mathematical models. We explore some of the following ideas:

  • Model sensitivity to changing parameters
  • Constraints due to observable data or cost of data collection
  • Temporal variation in sensitivity and noise
  • Information lost through reduced sampling strategies
  • Connecting uncertainty with results from mathematical analysis
  • Methods of assessing parameter identifiability

Ongoing work on this project includes applying similar methods to experimental/data-driven problems as they arise.

Publication List