Berlin 2015 – scientific program
SOE 11.4: Talk
Tuesday, March 17, 2015, 14:45–15:00, MA 001
Counterintuitive findings for evolution on networks — •Laura Hindersin and Arne Traulsen — Max Planck Institute for Evolutionary Biology, Plön, Germany
How does spatial population structure affect the fixation time of a novel mutation?
In the framework of evolutionary graph theory, individuals inhabit the nodes of a network. We study the Moran birth-death process, where reproduction happens with probability proportional to fitness. The links of a node determine which other individuals can be replaced by the offspring of that individual.
Intuitively, one might assume that adding a link to a given network would always decrease fixation time.
However, a simple counter-example disproves this intuition.
We show analytically for small networks, that adding a link can increase the fixation time.
Simulating the stochastic process on larger lattices, we find a similar result.
By adding links to a 2D-lattice without boundary conditions, the fixation time can increase as well.
This shows the validity of our counterintuitive result even for larger populations.
 Hindersin L, Traulsen A. 2014 Counterintuitive properties of the fixation time in network-structured populations. J. R. Soc. Interface 11: 20140606. http://dx.doi.org/10.1098/rsif.2014.0606