Speaker
Namiko Mitarai
(NBI)
Description
Foodwebs represents the species interactions in a local
habitat. When a new species invade a local habitat, their
competitive interaction with resident species may result in
cascade of extinction of resident species, but the condition
for extinction and the evolution of foodweb under such
invasion events are not well understood. We here present a
study on the dynamics of invasion and extinction using the
generalized Lotka-Volterra equations. When the foodweb has a
tree-structure, we prove that there is a unique, globally
stable solution that determine the species that will extinct
and the species that coexist stably. Using this, we propose
a protocol that describes the repetition of invasion and
extinction events in a foodweb, and analyze the dynamics and
the resulting foodweb structure. We further simplify the
process to the Invasion Extinction Model, which gives a
power low distribution of the species life time, consistent
with the simulated invasion extinction dynamics.
Reference: J. O. Haeter, N. Mitarai, and K. Sneppen, Plos
Comp. Biol. 12 (2016): e1004727; J. O. Haeter, N. Mitarai,
and K. Sneppen doi: https://doi.org/10.1101/097907; J. O.
Haeter, N. Mitarai, and K. Sneppen, under review.
