Anonymous

EvoLudoLab: Moran process on the Frucht graph: Difference between revisions

From EvoLudo
no edit summary
mNo edit summary
No edit summary
Line 1: Line 1:
{{EvoLudoLab:Moran|
{{EvoLudoLab:Moran|
options="--game Moran --run --delay 200 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --geometry 0 --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
options="--game Moran --run --delay 200 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --geometry 0 --init 0,1 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"|
title=Fixation and absorption times on the Frucht graph|
title=Fixation and absorption times on the Frucht graph|
doc=On the Frucht graph the expected times until a single mutant has fixed in the population, or until either one of the absorbing states is reached (homogenous population of residents or mutants), depends on which vertex the initial mutant arose. In fact, due to the lack of further structural symmetries (in addition to regularity) the fixation times are different for each vertex. The histogram shows the statistics for the conditional fixation times of a single mutant, i.e. the expected time it takes for a mutant to take over the population, the expected time for the mutant to go extinct (fixation of resident), as well as the expected time to reach an absorbing states for each vertex where the initial mutant was placed. The initial mutant is sequentially placed on every vertex. For reference, the corresponding fixation times for the original [[Moran process]], or, equivalently, for the [[spatial Moran process]] on [[Spatial Moran process#Circulation graphs|circulations]] is indicated by a dark red line (may not be visible if its outside the range of displayed values).
doc=On the Frucht graph the expected times until a single mutant has fixed in the population, or until either one of the absorbing states is reached (homogenous population of residents or mutants), depends on which vertex the initial mutant arose. In fact, due to the lack of further structural symmetries (in addition to regularity) the fixation times are different for each vertex. The histogram shows the statistics for the conditional fixation times of a single mutant, i.e. the expected time it takes for a mutant to take over the population, the expected time for the mutant to go extinct (fixation of resident), as well as the expected time to reach an absorbing states for each vertex where the initial mutant was placed. The initial mutant is sequentially placed on every vertex. For reference, the corresponding fixation times for the original [[Moran process]], or, equivalently, for the [[spatial Moran process]] on [[Spatial Moran process#Circulation graphs|circulations]] is indicated by a dark red line (may not be visible if its outside the range of displayed values).
860

edits