EvoLudoLab: Fixation probabilities on random regular graphs - Revision history

Hauert at 21:30, 12 August 2024

2024-08-12T21:30:53Z

← Older revision		Revision as of 14:30, 12 August 2024
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 50 --view Statistics_-_Fixation_probability --timestep 1 --popupdate B --popsize 81 --geometry r4 --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_probability --timestep 1 --popupdate B --popsize 81 --geometry r4 --init mutant 1,0 --fitness 1,2"\|
	title=Fixation probabilities on random regular graphs \|		title=Fixation probabilities on random regular graphs \|
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert at 18:27, 4 August 2024

2024-08-04T18:27:33Z

← Older revision		Revision as of 11:27, 4 August 2024
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 50 --view Statistics_-_Fixation_probability --~~reportfreq~~ 1 --popupdate B --popsize 81 --geometry r4 --~~init~~ 1,0 ~~--inittype mutant --mutation 0 --basefit 1 --selection 1~~ --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_probability --timestep 1 --popupdate B --popsize 81 --geometry r4 --inittype mutant 1,0 --fitness 1,2"\|
	title=Fixation probabilities on random regular graphs \|		title=Fixation probabilities on random regular graphs \|
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert at 07:15, 12 October 2023

2023-10-12T07:15:38Z

← Older revision		Revision as of 00:15, 12 October 2023
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --init 1:0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Fixation probabilities on random regular graphs \|		title=Fixation probabilities on random regular graphs \|
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert at 06:58, 12 October 2023

2023-10-12T06:58:47Z

← Older revision		Revision as of 23:58, 11 October 2023
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --~~initfreqs~~ 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --init 1:0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Fixation probabilities on random regular graphs \|		title=Fixation probabilities on random regular graphs \|
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert at 04:22, 18 December 2018

2018-12-18T04:22:31Z

← Older revision		Revision as of 21:22, 17 December 2018
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --~~resident~~ 1 ~~--mutant~~ 2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	title=Fixation probabilities on random regular graphs \|		title=Fixation probabilities on random regular graphs \|
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert at 23:33, 30 August 2016

2016-08-30T23:33:55Z

← Older revision		Revision as of 16:33, 30 August 2016
Line 4:		Line 4:
	doc=Since random regular graphs are circulations, 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 random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(~~120~~\) links ~~(note that the population size of \(N=81\), which was used to illustrate fixation probabilities on the other graphs as for the other graphs~~. 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(162\) 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.}}

Hauert: Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --initfreqs 0:1 --m..."

2016-08-30T23:06:00Z

Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --initfreqs 0:1 --m..."

New page

{{EvoLudoLab:Moran|
options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 81 --geometry r4 --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
title=Fixation probabilities on random regular graphs |
doc=Since random regular graphs are circulations, 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 \(N=81\) with \(k=4\) neighbours, which results in a total of \(120\) links (note that the population size of \(N=81\), which was used to illustrate fixation probabilities on the other graphs as for the other graphs. 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.}}