EvoLudoLab: Fixation probabilities on the star graph - Revision history

Hauert at 21:35, 12 August 2024

2024-08-12T21:35:45Z

← Older revision		Revision as of 14:35, 12 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 10 --view Statistics_-_Fixation_probability --timestep 10 --popupdate B --popsize 96 --geometry s --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 10 --view Statistics_-_Fixation_probability --timestep 10 --popupdate B --popsize 96 --geometry s --init mutant 1,0 --fitness 1,2"\|
	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. The fixation probability for the original Moran process is shown as a dark red line for reference.		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.}}

Hauert at 23:40, 9 August 2024

2024-08-09T23:40:03Z

← Older revision		Revision as of 16:40, 9 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 10 --view Statistics_-_Fixation_probability --~~reportfreq~~ 10 --popupdate B --popsize 96 --geometry s --~~init~~ 1,0 ~~--inittype mutant --mutation 0 --basefit 1 --selection 1~~ --fitness 1,2"\|		options="--module Moran --run --delay 10 --view Statistics_-_Fixation_probability --timestep 10 --popupdate B --popsize 96 --geometry s --inittype mutant 1,0 --fitness 1,2"\|
	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. The fixation probability for the original Moran process is shown as a dark red line for reference.		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.}}

Hauert at 17:29, 12 October 2023

2023-10-12T17:29:19Z

← Older revision		Revision as of 10:29, 12 October 2023
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --~~initfreqs~~ 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|		options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	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. The fixation probability for the original Moran process is shown as a dark red line for reference.		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.}}

Hauert at 04:48, 18 December 2018

2018-12-18T04:48:34Z

← Older revision		Revision as of 21:48, 17 December 2018
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	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 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	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. The fixation probability for the original Moran process is shown as a dark red line for reference.		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.}}

Hauert at 00:30, 27 August 2016

2016-08-27T00:30:45Z

← Older revision		Revision as of 17:30, 26 August 2016
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	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.}}

Hauert at 00:16, 27 August 2016

2016-08-27T00:16:02Z

← Older revision		Revision as of 17:16, 26 August 2016
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, 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.

	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.}}

Hauert: Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --initfreqs 0:1 --m..."

2016-08-27T00:11:44Z

Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 10 --view Statistics_-_Fixation_probability --reportfreq 10 --popupdate B --popsize 96 --geometry s --initfreqs 0:1 --m..."

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{{EvoLudoLab:Moran|
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|
doc=Note that the fixation probabilities are not the same for all vertices. In particular, if the mutant is placed in the hub, it almost certainly gets wiped out in the very first update. For symmetry reasons, all other vertices have the same fixation probabilities.

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.}}