EvoLudoLab: Fixation times on the rectangular lattice - Revision history

Hauert at 21:31, 12 August 2024

2024-08-12T21:31:59Z

← Older revision		Revision as of 14:31, 12 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 50 --view Statistics_-_Fixation_time --timestep 1 --popupdate B --popsize 9x9 --geometry n --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_time --timestep 1 --popupdate B --popsize 9x9 --geometry n --init mutant 1,0 --fitness 1,2"\|
	title=Fixation times on the rectangular lattice \|		title=Fixation times on the rectangular lattice \|
	doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.		doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.

	For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}		For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}

Hauert at 18:33, 4 August 2024

2024-08-04T18:33:22Z

← Older revision		Revision as of 11:33, 4 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 50 --view Statistics_-_Fixation_time --~~reportfreq~~ 1 --popupdate B --popsize 9x9 --geometry n --~~init~~ 1,0 ~~--inittype mutant --mutation 0 --basefit 1 --selection 1~~ --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_time --timestep 1 --popupdate B --popsize 9x9 --geometry n --inittype mutant 1,0 --fitness 1,2"\|
	title=Fixation times on the rectangular lattice \|		title=Fixation times on the rectangular lattice \|
	doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.		doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.

	For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}		For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}

Hauert at 07:03, 12 October 2023

2023-10-12T07:03:05Z

← Older revision		Revision as of 00:03, 12 October 2023
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --~~initfreqs~~ 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Fixation times on the rectangular lattice \|		title=Fixation times on the rectangular lattice \|
	doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.		doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.

	For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}		For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}

Hauert at 04:23, 18 December 2018

2018-12-18T04:23:45Z

← Older revision		Revision as of 21:23, 17 December 2018
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --~~resident~~ 1 ~~--mutant~~ 2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	title=Fixation times on the rectangular lattice \|		title=Fixation times on the rectangular lattice \|
	doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.		doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.

	For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}		For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times 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_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation..."

2016-08-30T23:15:43Z

Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation..."

New page

{{EvoLudoLab:Moran|
options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
title=Fixation times on the rectangular lattice |
doc=Even though fixation probabilities are the same on the rectangular lattice as on any other circulation, the corresponding fixation and absorption times can be vastly different. The diameter of rectangular lattices (every vertex can be reached with a few steps from every other one) scales with \(\sqrt{N}\) and hence fixation times are longer than on complete graphs or in unstructured populations.

For the simulations, the population size is \(N=9\times9=81\) 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 and absorption times of the original Moran process are indicated by a dark red line.}}