EvoLudoLab: Fixation probabilities on the rectangular lattice - Revision history

Hauert at 21:30, 12 August 2024

2024-08-12T21:30:37Z

← Older revision		Revision as of 14:30, 12 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 50 --view Statistics_-_Fixation_probability --timestep 1 --popupdate B --popsize 9x9 --geometry n --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_probability --timestep 1 --popupdate B --popsize 9x9 --geometry n --init mutant 1,0 --fitness 1,2"\|
	title=Fixation probabilities on the rectangular lattice \|		title=Fixation probabilities on the rectangular lattice \|
	doc=Since the rectangular lattice 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 rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 18:26, 4 August 2024

2024-08-04T18:26:39Z

← Older revision		Revision as of 11:26, 4 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 50 --view Statistics_-_Fixation_probability --~~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_probability --timestep 1 --popupdate B --popsize 9x9 --geometry n --inittype mutant 1,0 --fitness 1,2"\|
	title=Fixation probabilities on the rectangular lattice \|		title=Fixation probabilities on the rectangular lattice \|
	doc=Since the rectangular lattice 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 rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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

2023-10-12T06:58:10Z

← Older revision		Revision as of 23:58, 11 October 2023
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --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_probability --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Fixation probabilities on the rectangular lattice \|		title=Fixation probabilities on the rectangular lattice \|
	doc=Since the rectangular lattice 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 rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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

2018-12-18T04:22:12Z

← Older revision		Revision as of 21:22, 17 December 2018
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --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_probability --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	title=Fixation probabilities on the rectangular lattice \|		title=Fixation probabilities on the rectangular lattice \|
	doc=Since the rectangular lattice 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 rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 23:32, 30 August 2016

2016-08-30T23:32:18Z

← Older revision		Revision as of 16:32, 30 August 2016
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --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_probability --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"\|
	title=~~Evolutionary dynamics~~ on the rectangular lattice \|		title=Fixation probabilities on the rectangular lattice \|
	doc=Since the rectangular lattice 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 rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with four neighbours to the north, east, south and west~~, 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 \(N=9\times9=81\) and arranged on a rectangular lattice with periodic boundary conditions such that each vertex has four neighbours to the north, east, south and west (von Neumann neighbourhood). The resulting graph has 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 9x9 --geometry n --initfreqs 0:1 --m..."

2016-08-30T22:59:14Z

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

New page

{{EvoLudoLab:Moran|
options="--game Moran --run --delay 50 --view Statistics_-_Fixation_probability --reportfreq 1 --popupdate B --popsize 9x9 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
title=Evolutionary dynamics on the rectangular lattice |
doc=Since the rectangular lattice 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 \(N=9\times9=81\) and arranged on a rectangular lattice with four neighbours to the north, east, south and west, 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.}}