MMEE2024

Mathematical Models in Ecology and Evolution

July 15-18, 2024
Vienna, AUSTRIA

"Biological modelling: some average research"

Broom, Mark

In this talk I will explore the potential pitfalls in calculating averages appropriately in different biological scenarios and suggest how to approach the problem in general. I consider averaging in foraging models, revisiting the “fallacy of averages” debate where different methods of working out payoff in foraging scenarios was considered. I will also look at related models including group sizes and how to measure them appropriately, and the problem of “length-biased” sampling from renewal theory. All of these problems are inter-related, with the correct selection of probability distributions central to the problem.

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