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EvoLudoLab: Moran process on the Star graph: Difference between revisions
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EvoLudoLab: Moran process on the Star graph (view source)
Revision as of 18:46, 17 December 2018
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{{EvoLudoLab:Moran| | {{EvoLudoLab:Moran| | ||
options="--game Moran --run --delay 10 --view Strategies_-_Structure --reportfreq 10 --popupdate B --popsize 498 --geometry s --initfreqs 0 | options="--game Moran --run --delay 10 --view Strategies_-_Structure --reportfreq 10 --popupdate B --popsize 498 --geometry s --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"| | ||
title=Evolutionary dynamics on the star graph| | title=Evolutionary dynamics on the star graph| | ||
doc=The invasion dynamics of a beneficial mutation typically occurs in three phases: (i) first, rare mutants increase at a slower rate; (ii) once established, mutants quickly take over the majority of the population; (iii) during the last phase it takes a long time until the last remaining resident has been replaced. Extinction of mutants almost always happens in the first phase and the mutant fails to establish itself in the population. | doc=The invasion dynamics of a beneficial mutation typically occurs in three phases: (i) first, rare mutants increase at a slower rate; (ii) once established, mutants quickly take over the majority of the population; (iii) during the last phase it takes a long time until the last remaining resident has been replaced. Extinction of mutants almost always happens in the first phase and the mutant fails to establish itself in the population. | ||
For the simulations, the population size is \(N=498\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Thus, a single mutant has approximately a \(75\%\) chance to take over the population - a significant increase when compared to a \(50\%\) chance in the original Moran process. Typically it takes between \(4'500-6'500\) generations for the mutant to reach fixation.}} | For the simulations, the population size is \(N=498\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Thus, a single mutant has approximately a \(75\%\) chance to take over the population - a significant increase when compared to a \(50\%\) chance in the original Moran process. Typically it takes between \(4'500-6'500\) generations for the mutant to reach fixation.}} | ||
