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Conditional Defection (cooperate for the spread).nlogox
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1378 lines (1264 loc) · 58.7 KB
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<?xml version="1.0" encoding="utf-8"?>
<model version="NetLogo 7.0.0" snapToGrid="false">
<code><![CDATA[breed [plants plant]
breed [foragers forager]
foragers-own
[eattype
energy
flockmates
mypatch
strategy]
patches-own [
is-gap?
seedpatch?
seedpatchnum
foodpatch?
foodpatchnum
assortindex
resource]
globals
[patch-width
gap
foodpatchlist
growth-rate
carryingcap
costchild
]
to setup
clear-all
set patch-width Size-Resource-Areas
set gap Distance-Resource-Areas
set growth-rate 0.2
set carryingcap 10
setup-plants
setup-frgs
set costchild 10
reset-ticks
end
to setup-plants
foreach [ 0 1 2 3 4 5 6 7 8 9 10 11 12 13]
[ x ->
foreach [ 0 1 2 3 4 5 6 7 8 9 10 11 12 13] [ y ->
ask patches with [ pxcor = ( gap / 2 ) + (x * ( gap + (patch-width ))) and pycor = ( gap / 2 ) + (y * (gap + (patch-width))) ]
[set seedpatch? true
sprout-plants 1 [set hidden? true]
set seedpatchnum [who] of plants-here
]
]
]
ask patches with [seedpatch? = true]
[ let localpatch (patch-set self patches in-radius patch-width)
ask localpatch
[ set resource carryingcap
if resource = 0 [set resource 0.1]
set pcolor scale-color brown resource 0 (carryingcap + 10)
set foodpatch? true
set foodpatchnum [seedpatchnum] of localpatch with [seedpatch? = true]
]
]
set foodpatchlist ( [who] of plants )
end
to setup-frgs
ask n-of (Number-Agents * Percent-Sustainables / 100) patches with [foodpatch? = true]
[sprout-foragers 1
[
set eattype "low"
set strategy "cooperator"
set color green
set mypatch [foodpatchnum] of patch-here ]
]
ask n-of (Number-Agents * ( 100 - Percent-Sustainables) / 100) patches with [foodpatch? = true]
[sprout-foragers 1
[
set eattype "high"
set strategy "defector"
set color red
set mypatch [foodpatchnum] of patch-here
]
]
ask foragers [
if Agents = "People" [ set shape "person"]
if Agents = "Bacteria" [ set shape "bacteria" ]
if Agents = "Cows" [ set shape "cow"]
if Agents = "Cells" [ set shape "cell"]
set size 2
set energy Living-costs]
ask foragers
[ ask patches in-radius patch-width [ set is-gap? false ] ]
end
to go
ask foragers [ flock ]
ask foragers [
if Agents = "People" [ set shape "person"]
if Agents = "Bacteria" [ set shape "bacteria" ]
if Agents = "Cows" [ set shape "cow"]
if Agents = "Cells" [ set shape "cell"]]
move
eat
if Evolution? [reproduce]
expend-energy
if Evolution? [death]
ask patches with [foodpatch? = true]
[regrow
recolor]
tick
end
to flock
find-flockmates
end
to find-flockmates
set flockmates other foragers in-radius group-dispersal-range with [strategy = [strategy] of myself]
end
to move
ask foragers
[let local ( patch-set patch-here ( patches in-radius 2 with [not any? foragers-here] ))
if local != nobody
[let local-max ( max-one-of local [resource] )
ifelse local-max != nobody and [resource] of local-max >= Living-costs
[face local-max
move-to local-max
set mypatch [foodpatchnum] of patch-here
]
[if any? ( patches in-radius 2 with [not any? foragers-here] )
[move-to one-of ( patches in-radius 2 with [not any? foragers-here] )]]
if is-gap? != false and (count flockmates >= 1) [set energy (energy - (dispersal-costs / (count flockmates + 1)) )]
if is-gap? != false and (count flockmates = 0) [set energy (energy - dispersal-costs)]
]
]
end
to eat
ask foragers
[ifelse eattype = "low"
[ set energy energy + ([resource] of patch-here * 0.5)
ask patch-here [set resource resource / 2]]
[ set energy energy + ([resource] of patch-here * 0.99)
ask patch-here [set resource resource - (0.99 * resource) ]]
]
end
to reproduce
ask foragers
[ let birthrate 0.0005 * energy
if energy > costchild and random-float 1 < birthrate [
let destination one-of neighbors with [not any? turtles-here]
if destination != nobody [
hatch 1 [
move-to destination
mutate
set energy costchild ]
set energy (energy - costchild)
]
]
]
end
to mutate
if random-float 1 < Mutation-rate
[
let new-strategy one-of ["cooperator" "defector"]
set strategy new-strategy
ifelse strategy = "cooperator"
[set eattype "low"]
[set eattype "high"]
update-color
]
end
to expend-energy
ask foragers [set energy energy - Living-costs ]
end
to death
ask foragers
[if energy <= 0 [die]
]
end
to regrow
ifelse resource >= 0.1
[set resource precision (resource + ((growth-rate * resource) * (1 - (resource / carryingcap )))) 3]
[set resource 0.1]
end
to recolor
set pcolor scale-color brown resource 0 (carryingcap + 10)
end
to update-color
if strategy = "cooperator" [set color green]
if strategy = "defector" [set color red]
end
to calcassort
foreach (foodpatchlist) [ x ->
let foodpatch patches with [foodpatchnum = x]
let lowfrgs count foragers with [eattype = "low" and mypatch = x]
let frgs count foragers with [ mypatch = x]
ask patches with [seedpatch? = true and seedpatchnum = x]
[ set assortindex (lowfrgs / frgs) ]
]
end
to-report avenhigh
report sum [energy] of foragers with [eattype = "high"] / count foragers with [eattype = "high"]
end
to-report avenlow
report sum [energy] of foragers with [eattype = "low"] / count foragers with [eattype = "low"]
end
to-report gensim-pop
report ( count patches with [seedpatch? = true] - 1) / (count foragers - 1)
end
to-report avassort
report sum [assortindex] of patches with [seedpatch? = true] / count patches with [seedpatch? = true]
end]]></code>
<widgets>
<view x="293" wrappingAllowedX="false" y="10" frameRate="30.0" minPycor="0" height="564" showTickCounter="true" patchSize="5.0" fontSize="10" wrappingAllowedY="false" width="564" tickCounterLabel="Iterations" maxPycor="111" updateMode="0" maxPxcor="111" minPxcor="0"></view>
<button x="15" y="10" height="40" disableUntilTicks="false" forever="false" kind="Observer" width="97" display="Setup">setup</button>
<button x="15" y="101" height="40" disableUntilTicks="false" forever="true" kind="Observer" width="96" display="Start">go</button>
<button x="15" y="55" height="40" disableUntilTicks="false" forever="false" kind="Observer" width="97" display="Once">go</button>
<slider x="14" step="1" y="354" max="100" width="173" display="Percent-Sustainables" height="50" min="0" direction="Horizontal" default="90.0" variable="Percent-Sustainables"></slider>
<slider x="15" step="1" y="284" max="count patches with [foodpatch? = true] / 2" width="172" display="Number-Agents" height="50" min="0" direction="Horizontal" default="80.0" variable="Number-Agents"></slider>
<plot x="867" autoPlotX="true" yMax="10.0" autoPlotY="true" y="10" xMin="0.0" height="221" legend="true" xMax="10.0" yMin="0.0" width="385" display="Average Energy of Agents">
<setup></setup>
<update></update>
<pen interval="1.0" mode="0" display="Sustainable" color="-10899396" legend="true">
<setup></setup>
<update>carefully [plot avenlow][plot 0]</update>
</pen>
<pen interval="1.0" mode="0" display="Greedy" color="-2674135" legend="true">
<setup></setup>
<update>carefully [plot avenhigh] [plot 0]</update>
</pen>
</plot>
<plot x="867" autoPlotX="true" yMax="100.0" autoPlotY="true" y="236" xMin="0.0" height="227" legend="true" xMax="10.0" yMin="0.0" width="383" display="Trait frequencies (global, %)">
<setup></setup>
<update></update>
<pen interval="1.0" mode="0" display="Sustainable" color="-10899396" legend="true">
<setup></setup>
<update>carefully [plot ( count foragers with [eattype = "low"] / count foragers ) * 100][plot 0]</update>
</pen>
<pen interval="1.0" mode="0" display="Greedy" color="-2674135" legend="true">
<setup></setup>
<update>carefully [plot (count foragers with [eattype = "high"] / count foragers ) * 100] [plot 0]</update>
</pen>
</plot>
<switch x="871" y="494" height="40" on="true" variable="Evolution?" width="112" display="Evolution?"></switch>
<chooser x="13" y="464" height="60" variable="Agents" current="1" width="138" display="Agents">
<choice type="string" value="People"></choice>
<choice type="string" value="Bacteria"></choice>
<choice type="string" value="Cells"></choice>
<choice type="string" value="Cows"></choice>
</chooser>
<slider x="12" step="2" y="529" max="40" width="184" display="Distance-Resource-Areas" height="50" min="8" direction="Horizontal" default="20.0" variable="Distance-Resource-Areas"></slider>
<slider x="11" step="1" y="584" max="20" width="184" display="Size-Resource-Areas" height="50" min="1" direction="Horizontal" default="4.0" variable="Size-Resource-Areas"></slider>
<slider x="11" step="0.5" y="639" max="5" width="183" display="Living-costs" height="50" min="0" direction="Horizontal" default="1.0" variable="Living-costs"></slider>
<note x="1266" y="14" backgroundDark="0" fontSize="11" width="168" markdown="false" height="126" textColorDark="-1" textColorLight="-16777216" backgroundLight="0">Resource carrying capacity: 10
Resource growth rate: 0.2
Resource consumption of sustainables:
50% of resources of a patch
Resource consumption of greedy:
99% of resources of a patch</note>
<slider x="11" step="0.1" y="694" max="10" width="186" display="Mutation-rate" height="50" min="0" direction="Horizontal" default="0.0" variable="Mutation-rate" units="%"></slider>
<plot x="1020" autoPlotX="true" yMax="100.0" autoPlotY="true" y="468" xMin="0.0" height="175" legend="false" xMax="10.0" yMin="0.0" width="230" display="Agent Population">
<setup></setup>
<update></update>
<pen interval="1.0" mode="0" display="default" color="-16777216" legend="true">
<setup></setup>
<update>plot count foragers</update>
</pen>
</plot>
<note x="872" y="543" backgroundDark="0" fontSize="11" width="129" markdown="false" height="42" textColorDark="-1" textColorLight="-16777216" backgroundLight="0">Agents reproduce with a probability of
(0.0005 * Energy)</note>
<slider x="13" step="1" y="409" max="200" width="172" display="group-dispersal-range" height="50" min="0" direction="Horizontal" default="70.0" variable="group-dispersal-range"></slider>
<slider x="13" step="0.5" y="409" max="10" width="172" display="dispersal-costs" height="50" min="0" direction="Horizontal" default="8.0" variable="dispersal-costs"></slider>
<monitor x="140" precision="17" y="219" height="60" fontSize="11" width="100" display="greedy">count foragers with [eattype = "high"]</monitor>
<monitor x="15" precision="17" y="194" height="60" fontSize="11" width="100" display="total">count foragers</monitor>
<slider x="11" step="10" y="749" max="200" width="172" display="group-dispersal-range" height="50" min="0" direction="Horizontal" default="70.0" variable="group-dispersal-range"></slider>
<monitor x="142" precision="17" y="151" height="60" fontSize="11" width="100" display="cooperators">count foragers with [eattype = "low"]</monitor>
</widgets>
<info>## WHAT IS IT?
* This model examines the conditional cooperation of selfish agents, who typically act as defectors but temporarily cooperate when migration or dispersal is necessary. It is based on the first model described in this article, Ibrahim, A.M. The conditional defector strategies can violate the most crucial supporting mechanisms of cooperation. Sci Rep 12, 15157 (2022). https://doi.org/10.1038/s41598-022-18797-2
* Key finding: The model highlights how agents that would usually overexploit common resources can still form temporary alliances to share the costs of migration, thereby overcoming spatial structure mechanisms and group (multilevel) selection that would otherwise enhance cooperation, thereby threatening the evolutionary stability of cooperating strategies.
## HOW IT WORKS
* Agents (turtles) are normally defectors, i.e., they harvest resources greedily.
* However, when migration becomes necessary (e.g., when local resources decline), these selfish agents adopt a conditional rule:
* They temporarily cooperate with other defectors to migrate as a group.
* The dispersal costs are shared, allowing them to colonize new areas.
* Once settled in a new patch, they revert to selfish harvesting.
* The cycle of overexploitation → cooperation for dispersal → settlement repeats, creating complex evolutionary dynamics.
* Group dispersal range is the spatial radius within which selfish agents can share the costs of migration.
* The larger the dispersal range, the more potential selfish agents are available to share migration costs.
* If the dispersal range is very small or zero, selfish agents cannot share costs with neighbors. In this case, they behave like traditional defectors.
* The group dispersal range is not confined to greedy agents but applies to all agents. Therefore, it represents the case of the wild-type cooperators who can also cooperate for the spread.
## HOW TO USE IT
* Sliders and parameters allow control of:
* Number of agents
* Carrying capacity of patches
* Costs of migration
* Growth rate of resources
* Mutation rate of agents
* Group dispersal range (defines the neighborhood radius within which agents can cooperate for migration)
* Setup initializes the world with agents and resource patches.
* Go runs the simulation step by step.
* Agents are colored according to their role (defectors vs. cooperators).
* Plots show population changes, average energy, and resource dynamics over time.
## THINGS TO NOTICE
* Watch how defectors normally go extinct but survive and dominate when they form successful migratory groups
* Larger group dispersal range promotes conditional defectors, while smaller or zero range eliminates it, turning conditional defectors back into traditional defectors.
* Group dispersal events can preserve selfish populations that would otherwise collapse.
## THINGS TO TRY
* Change the group dispersal range and observe how it alters the ability of defectors to cooperate for migration.
* Adjust the migration cost to see whether individuals can migrate alone or must rely on others.
## EXTENDING THE MODEL
* Introduce punishment or monitoring (from the second model of the paper) and observe interactions.
* Vary the dispersal radius to see if conditional defectors still dominate when movement options change.
## KEY RESULTS
* Conditional defectors who succeed in dispersal by splitting the costs of migration manage to:
* Outcompete cooperators.
* Undermine multilevel selection, group selection, and spatial structure mechanisms that normally support cooperation.
* The strategy of “cooperate only for dispersal” provides a powerful evolutionary advantage to selfish agents, especially when the group dispersal range is large enough to facilitate cost sharing.
## NETLOGO FEATURES
* Uses agent-based conditional rules where strategies switch depending on context.
* Implements group migration as a collective action problem among selfish individuals.
* Resource regeneration and patch-based carrying capacity reflect ecological constraints.
## RELATED MODELS
* Evolution of Cooperation (NetLogo Models Library)
* Commons Dilemma models
* The second model in the same paper (conditional defection via “Pay for the escape”).
## CREDITS AND REFERENCES
* Based on: Ibrahim, A.M. The conditional defector strategies can violate the most crucial supporting mechanisms of cooperation. Sci Rep 12, 15157 (2022). https://doi.org/10.1038/s41598-022-18797-2
* NetLogo version: (specify your version, e.g., 6.1).
Original model implementation adapted from the authors’ supplementary material.
For the NetLogo-Software:
* Wilensky, U. (1999). NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.
## Licence

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License. http://creativecommons.org/licenses/by-nc-sa/4.0/</info>
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