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EvoLudoLab: Fixation probabilities on the complete graph: Difference between revisions
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EvoLudoLab: Fixation probabilities on the complete graph (view source)
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{{EvoLudoLab:Moran| | {{EvoLudoLab:Moran| | ||
options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry c --initfreqs 0 | options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry c --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"| | ||
title=Fixation probabilities on the complete graph| | title=Fixation probabilities on the complete graph| | ||
doc=Since the complete graph is a circulation, the fixation probability of a mutant has to be the same irrespective of its initial location and must be identical to the one of the original Moran process in unstructured populations. | doc=Since the complete graph is a circulation, the fixation probability of a mutant has to be the same irrespective of its initial location and must be identical to the one of the original Moran process in unstructured populations. | ||
For the simulations, the population size is \(N=81\) and hence \(3'240\) links. The fitness of residents is set to \(1\) and that of mutants to \(2\). Thus, a single mutant has approximately a \(50\%\) chance to take over the population. For reference, the analytical fixation probabilities of the original Moran process are indicated by a dark red line.}} | For the simulations, the population size is \(N=81\) and hence \(3'240\) links. The fitness of residents is set to \(1\) and that of mutants to \(2\). Thus, a single mutant has approximately a \(50\%\) chance to take over the population. For reference, the analytical fixation probabilities of the original Moran process are indicated by a dark red line.}} | ||
