860
edits
EvoLudoLab: Fixation probabilities on the star graph: Difference between revisions
From EvoLudo
EvoLudoLab: Fixation probabilities on the star graph (view source)
Revision as of 17:30, 26 August 2016
, 26 August 2016no edit summary
mNo edit summary |
mNo edit summary |
||
| Line 2: | Line 2: | ||
options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"| | options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"| | ||
title=Fixation probabilities on the star graph| | title=Fixation probabilities on the star graph| | ||
doc=Note that the fixation probabilities are not the same for all vertices. In particular, if the mutant is placed in the hub (vertex \(0\)), it almost certainly gets wiped out in the very first update. For symmetry reasons, all other vertices have the same fixation probabilities. | doc=Note that the fixation probabilities are not the same for all vertices. In particular, if the mutant is placed in the hub (vertex \(0\)), it almost certainly gets wiped out in the very first update. For symmetry reasons, all other vertices have the same fixation probabilities. The fixation probability for the original Moran process is shown as a dark red line for reference. | ||
For the simulations, the population size is \(N=96\). The fitness of residents is set to \(1\) and that of mutants to \(2\). Note that the overall fixation probability of mutants is systematically less than the analytical prediction of \(75\%\). The deviations are due to different kinds of finite size effects but primarily because the mutant may arise in the hub and almost certainly go extinct. This alone accounts for \(1\%\) of the deviation.}} | For the simulations, the population size is \(N=96\). The fitness of residents is set to \(1\) and that of mutants to \(2\). Note that the overall fixation probability of mutants is systematically less than the analytical prediction of \(75\%\). The deviations are due to different kinds of finite size effects but primarily because the mutant may arise in the hub and almost certainly go extinct. This alone accounts for \(1\%\) of the deviation.}} | ||
