"The Ideal Free Distribution with travel costs: Migration of blufin tuna"Krivan, VlastimilThis talk presents the effect of travel costs on population distribution in a patchy environment. The Ideal Free Distribution with travel costs is defined as the distribution under which it is not profitable for individuals to move (Krivan and Cressman, 2024), i.e., the movement between patches ceases. It is shown that depending on the travel costs between patches, there are either infinitely many possible Ideal Free Distributions or no Ideal Free Distribution exists. In the latter case, animal distribution can converge to an equilibrium of distributional dynamics where individuals disperse, but the net movement between patches ceases. This game theoretic foundation is then applied to model the migration network of bluefin tuna (Mariani et al. 2016). References: V. Krivan and R. Cressman. The ideal free distribution with travel costs. Journal of Theoretical Biology, 579:111717, 2024. P. Mariani, V. Krivan, B. R. MacKenzie, and C. Mullon. The migration game in habitat network: the case of tuna. Theoretical Ecology, 9:219–232, 2016. |
« back