EvoLudoLab: Moran process on the rectangular lattice - Revision history

Hauert at 07:37, 19 February 2026

2026-02-19T07:37:54Z

← Older revision		Revision as of 00:37, 19 February 2026
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 100 --view ~~Strategies_~~-~~_Structure~~ --timestep 1 --popupdate B --popsize 100x100 --geometry n --init mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 100 --view Traits_-_2D_Structure --timestep 1 --popupdate B --popsize 100x100 --geometry n --init mutant 1,0 --fitness 1,2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert at 21:28, 12 August 2024

2024-08-12T21:28:50Z

← Older revision		Revision as of 14:28, 12 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 100 --view Strategies_-_Structure --timestep 1 --popupdate B --popsize 100x100 --geometry n --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 100 --view Strategies_-_Structure --timestep 1 --popupdate B --popsize 100x100 --geometry n --init mutant 1,0 --fitness 1,2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert at 18:22, 4 August 2024

2024-08-04T18:22:38Z

← Older revision		Revision as of 11:22, 4 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 100 --view Strategies_-_Structure --~~reportfreq~~ 1 --popupdate B --popsize 100x100 --geometry n --~~init~~ 1,0 ~~--inittype mutant --mutation 0 --basefit 1 --selection 1~~ --fitness 1,2"\|		options="--module Moran --run --delay 100 --view Strategies_-_Structure --timestep 1 --popupdate B --popsize 100x100 --geometry n --inittype mutant 1,0 --fitness 1,2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert at 06:54, 12 October 2023

2023-10-12T06:54:44Z

← Older revision		Revision as of 23:54, 11 October 2023
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --~~initfreqs~~ 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|		options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert at 04:20, 18 December 2018

2018-12-18T04:20:34Z

← Older revision		Revision as of 21:20, 17 December 2018
Line 1:		Line 1:
	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --~~resident~~ 1 ~~--mutant~~ 2"\|		options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert at 22:31, 30 August 2016

2016-08-30T22:31:47Z

← Older revision		Revision as of 15:31, 30 August 2016
Line 2:		Line 2:
	options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"\|		options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"\|
	title=Evolutionary dynamics on the complete graph\|		title=Evolutionary dynamics on the complete graph\|
	doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.		doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

	For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}		For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}

Hauert: Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutatio..."

2016-08-30T22:30:45Z

Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutatio..."

New page

{{EvoLudoLab:Moran|
options="--game Moran --run --delay 100 --view Strategies_-_Structure --reportfreq 1 --popupdate B --popsize 100x100 --geometry n --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
title=Evolutionary dynamics on the complete graph|
doc=For the rectangular (or 2D) lattice with four neighbours (von Neumann neighbourhood) and periodic boundary conditions, mutants typically invade by forming a a compact, expanding cluster with a frazzled boundary. The width of the frazzled zone increases for decreasing fitness differences between residents and mutants. This also increases the chance that the initial cluster of mutants gets split into several smaller ones.

For the simulations, the population size is \(N=100\times100=10'000\). 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. Typically it takes around \(140\) generations for the mutant to reach fixation.}}