EvoLudoLab: Fixation times on the linear chain graph - Revision history

Hauert at 21:34, 12 August 2024

2024-08-12T21:34:42Z

← Older revision		Revision as of 14:34, 12 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--module Moran --run --delay 50 --view Statistics_-_Fixation_time --timestep 0.5 --popupdate B --popsize 100 --geometry l0,1f --~~inittype~~ mutant 1,0 --fitness 1,2"\|		options="--module Moran --run --delay 50 --view Statistics_-_Fixation_time --timestep 0.5 --popupdate B --popsize 100 --geometry l0,1f --init mutant 1,0 --fitness 1,2"\|
	title=Fixation times on the linear chain graph\|		title=Fixation times on the linear chain graph\|
	doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).		doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

	For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}		For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}

Hauert at 23:37, 9 August 2024

2024-08-09T23:37:01Z

← Older revision		Revision as of 16:37, 9 August 2024
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--~~game~~ Moran --run --delay 50 --view Statistics_-_Fixation_time --~~reportfreq~~ 0.5 --popupdate B --popsize 100 --geometry l0,1f --~~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 0.5 --popupdate B --popsize 100 --geometry l0,1f --inittype mutant 1,0 --fitness 1,2"\|
	title=Fixation times on the linear chain graph\|		title=Fixation times on the linear chain graph\|
	doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).		doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

	For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}		For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}

Hauert at 16:35, 12 October 2023

2023-10-12T16:35:26Z

← Older revision		Revision as of 09:35, 12 October 2023
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry af --~~initfreqs~~ 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry l0,1f --init 1,0 --inittype mutant --mutation 0 --basefit 1 --selection 1 --fitness 1,2"\|
	title=Fixation times on the linear chain graph\|		title=Fixation times on the linear chain graph\|
	doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).		doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

	For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}		For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}

Hauert at 04:46, 18 December 2018

2018-12-18T04:46:01Z

← Older revision		Revision as of 21:46, 17 December 2018
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	{{EvoLudoLab:Moran\|		{{EvoLudoLab:Moran\|
	options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry af --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --~~resident~~ 1 ~~--mutant~~ 2"\|		options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry af --initfreqs 1:0 --mutation 0 --basefit 1 --selection 1 --fitness 1:2"\|
	title=Fixation times on the linear chain graph\|		title=Fixation times on the linear chain graph\|
	doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).		doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

	For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}		For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}

Hauert at 04:15, 29 August 2016

2016-08-29T04:15:29Z

← Older revision		Revision as of 21:15, 28 August 2016
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	doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).		doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

	For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}		For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). Similarly, the absorption time of vertex \(1\) is almost twice that of the root vertex \(0\). As a reference, the fixation times for the corresponding 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 0.5 --popupdate B --popsize 100 --geometry af --initfreqs 0:1 --mutat..."

2016-08-29T04:11:04Z

Created page with "{{EvoLudoLab:Moran| options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry af --initfreqs 0:1 --mutat..."

New page

{{EvoLudoLab:Moran|
options="--game Moran --run --delay 50 --view Statistics_-_Fixation_time --reportfreq 0.5 --popupdate B --popsize 100 --geometry af --initfreqs 0:1 --mutation 0 --basefit 1 --selection 1 --resident 1 --mutant 2"|
title=Fixation times on the linear chain graph|
doc=The fixation time of mutants is zero for all vertices except for the root (vertex \(0\)) because the fixation probabilities are zero. For the root vertex the fixation time is proportional to \(r N\), the mutant's fitness \(r\) times the length of the chain \(N\). The fixation time of residents (and because of the corresponding fixation probabilities also the absorption times) is zero for the root and linearly decreases with distance from the root. More specifically, the fixation time for a mutant in vertex \(i\) is proportional to \(N-i\).

For the simulations, the population size is \(N=100\), the fitness of residents is set to \(1\) and that of mutants to \(2\). Hence the fixation time of the mutant in the root must be almost half the time until the residents reach fixation after a mutant occurred in the adjacent vertex \(1\). As a reference, the fixation times for the corresponding original [[Moran process]] are indicated by a dark red line.}}