; EVO: A framework for modeling evolution ; by Jon Pearce patches-own [ ] turtles-own [ age fitness asexual? ] globals [ ;le ; life expectancy generation ; # of current generation ;offspring ; # of offspring produced proximity ; how close do mates need to be ] ;=================== Initializing the Model =================================== to init-model ca init-globals init-patches init-turtles end to init-globals set life-expectancy 100 set generation 1 random-seed new-seed set proximity 10 end to init-patches ask patches [init-patch] end to init-turtles crt init-population ask turtles [init-turtle] end to init-patch end to init-turtle setxy random-xcor random-ycor set fitness random 100 set age random life-expectancy set color scale-color green fitness 0 100 set asexual? false end ;==================== Updating the Model ================================== to update-model if finished? [ print "Simulation halted" stop ] tick update-globals update-patches update-turtles end to update-globals if 0 = ticks mod life-expectancy [set generation generation + 1] end to update-patches ask patches [update-patch] end to update-turtles ask turtles [update-turtle] end to-report finished? report not any? turtles end to update-patch end to update-turtle ifelse age < life-expectancy [ set age age + 1 if fitness = 0 [die stop] move update-fitness ] [ if threshold <= fitness [reproduce] die ] end to move rt random 360 fd random 1 end to update-fitness let competitor one-of other turtles with [distance myself < proximity] if competitor != nobody [ let my-score random fitness let competitor-score random ([fitness] of competitor) let reward 1 ifelse my-score < competitor-score [ set fitness max (list 0 (fitness - reward)) ask competitor [set fitness fitness + reward] ] [ set fitness fitness + reward ask competitor [set fitness max (list 0 (fitness - reward))] ] ] end to reproduce ifelse asexual? [ reproduce-asexually ] [ reproduce-sexually ] end to reproduce-sexually let fit-turtles turtles with [threshold <= fitness and distance myself <= proximity] let spouse one-of other fit-turtles if spouse != nobody [ move-to spouse hatch offspring [ set fitness ([fitness] of myself + [fitness] of spouse) / 2 set color scale-color green fitness 0 100 setxy random-xcor random-ycor ] ask spouse [die] ] die end to reproduce-asexually hatch offspring [ set fitness [fitness] of myself set color scale-color green fitness 0 100 setxy random-xcor random-ycor ] end to-report avg-fitness report sum ([fitness] of turtles) / count turtles end @#$#@#$#@ GRAPHICS-WINDOW 124 22 563 482 16 16 13.0 1 10 1 1 1 0 1 1 1 -16 16 -16 16 0 0 1 ticks CC-WINDOW 5 496 951 591 Command Center 0 BUTTON 18 34 93 68 init init-model NIL 1 T OBSERVER NIL NIL NIL NIL BUTTON 17 80 94 113 update update-model T 1 T OBSERVER NIL NIL NIL NIL MONITOR 17 140 100 193 generation generation 5 1 13 MONITOR 18 215 99 268 population count turtles 17 1 13 MONITOR 17 298 100 351 avg fitness avg-fitness 2 1 13 SLIDER 593 37 765 70 init-population init-population 0 500 100 10 1 NIL HORIZONTAL SLIDER 593 86 765 119 threshold threshold 0 100 75 5 1 NIL HORIZONTAL SLIDER 595 142 767 175 offspring offspring 0 10 2 1 1 NIL HORIZONTAL SLIDER 594 196 766 229 life-expectancy life-expectancy 0 100 100 1 1 NIL HORIZONTAL TEXTBOX 792 82 942 114 minimum fitness needed to reporduce 13 0.0 1 TEXTBOX 792 137 942 169 number of offspring produced by mating 13 0.0 1 @#$#@#$#@ WHAT IS IT? ----------- Evo is a framework for modeling evolution. HOW IT WORKS ------------ The model is controlled by five globals: | init-population = initial population size | life-expectancy = # ticks until a turtle mates, if fit, and dies. | generation = # of current generation = # of generations so far | threshold = minimum fitness needed to reproduce | offspring = # of offspring produced by single mating In addition, each turtle has a fitness attribute, which is initially set to a random integer between 0 and 100, an age, which is intially a random number between 0 and life-expectancy, and a flag, asexual?, which is intially false and determines if the turtle reproduces asexually or not. The turtles are repeatedly updated. If the age of the turtle is less that its life expectancy, then the turtle updates its fitness. For example, the update-fitneess procedure might set the fitness of the turtle to a random integer between 0 and 100: | to update-fitness | set fitness random 100 | end In a customization of the framework, this procedure would be redfeined to do something more interesting. If the turtle has reached the end of its life, if the turtle's fitness is less than the fitness threshold, it dies. If the turtle's fitness is greater than or equal to the fitness threshold, then the turtle reproduces. In sexual reproduction the turtle chooses a mate from among the other nearby turtles with fitness greater than or equal to the fitness threshold. The number of offspring produced by the coupling is controlled by the offspring global. Each offspring is endowed with a fitness equal to the average of the fitness of each parent. After mating, both parents die. In asexual reproduction, the reproducing turtle is replaced by an offspring with the same fitness. HOW TO USE IT ------------- Pressing the init button initializes the model. Pressing the update button starts, pauses, or resumes updating the model. The init-population, threshold, offspring, and life-expectency sliders allow the user to vary the values of the corresponding global variables (described above). The generation monitor shows the number of the current generation. This is also the number of generations that have existed. This number is the number of ticks divided by the life expectancy, le. The populatin monitor shows the number of turtles. The avg fitness monitor shows the average fitness of all turtles. THINGS TO NOTICE ---------------- All turtles are green. The shade of green reflects its fitness. More fit turtles are a a lighter shade of green. Less fit turtles are a darker shade of green. The rate of growth of the population (increasing, stable, decreasing) depends on all of the slider variables. The average fitness increases, as Darwin predicted. THINGS TO TRY ------------- Try modifying some of the initial values of the globals. EXTENDING THE MODEL ------------------- The model is extended by redefining the update-fitness procedure. For example: | to update-fitness | let competitor one-of other turtles with [distance myself < proximity] | if competitor != nobody [ | let my-score random fitness | let competitor-score random ([fitness] of competitor) | let reward 1 | ifelse my-score < competitor-score | [ | set fitness max (list 0 (fitness - reward)) | ask competitor [set fitness fitness + reward] | ] | [ | set fitness fitness + reward | ask competitor [set fitness max (list 0 (fitness - reward))] | ] | ] | end In this test the turtle selects a random nearby competitor. Each turtle produces a random score less than his or her fitness. The fitness of the turtle with the higher score is incremented by a bonus amount. The loser's fitness is decremented by this amount. PROJECT: GENETIC PROGRAMMING --------------- In genetic programming each turtle is supplied with a description attribute. A description is a length N list of traits. A trait is a number between 0 and max-trait. The sexual-reproduction procedure spawns a new turtle from a description generated from the parent's descriptions by recombination and mutation. In recombination a random integer 0 <= M < N is chosen. The new description consists of the first M traits of the father's description prepended to the last N - M traits of the mother's description. In mutation another random integer 0 <= K < N is chosen, and the trait at position K is incremented by 1 mod max-traits. In the update-fitness procedure, the traits of turtle t are used to determine the turtle's score. PROJECT: LEARNING AND EVOLUTION --------------- In this model we equate fitness with knowledge. We suppose each turtle has an inherited capacity to learn, icl, and an inherited capacity to teach, ict. Initially fitness (knowledge) is a random integer between 0 and 100, icl is a random float between 0 and 1, and ict is a random float between -1 and 1. Instead of competing with other turtles in the update-fitness procedure, a turtle learns from other turtles. When turtle t1 learns from turtle t2, t1's fitness is incremented by icl1 * f2 * ict2 where icl1 is t1's inherited capacity to learn, f2 is t2's fitness, and ict2 is t2's inherited capacity to teach. Also, t2's fitness is decremented by a fixed cost if ict2 > 0 and incremented by this cost if ict2 < 0. In other words, there is a cost to taking time out to teach t1 new tricks and a possible advantage if t2 gains an edge over t1 by passing on bad information. The offspring of a fit turtle have initial fitness 0 and icl and ict that are equal to the average of the parent's icl and ict values respectively (if reproducing sexually) or the icl and ict of the single parent if reproducing asexually. Plot the change in the mean value of icl and ict. What happens when smart turtles are near other smart turtles and dumb turtles are near other dumb turtles? PROJECT: EVOGOD ---------------- Evogod is a model developed by James Dow to model the evolution of societies that communicate two types of information: real and unreal. For example, real information might be information about the environment that increases the fitness of agents. Unreal information might be supernatural information that decreases the fitness of agents. See http://jasss.soc.surrey.ac.uk/11/2/2.html for the complete paper. In the NetLogo version of this model turtles have both inherited propensities to communicate real and unreal information (ipr and ipu) and learned propensities to communicate real and unreal information (cpr and cpu). The update-fitness procedure has two phases. In the learn-real-info phase turtle t1 selects a number of teachers. Teacher t2 increases t1's fitness by an amount proportional to cpr1, t1's propensity to communicate real information. Also, cpr1 is incremented by an amount proportional to ipr1, T1's inherited propensity to communicate real information. In the learn-unreal-info phase turtle t1 again selects a number of teachers. Teacher t2 decreases t1's fitness by an amount proportional to cpu1, t1's propensity to communicate unreal information. Also, cpu1 is incremented by an amount proportional to ipu1, T1's inherited propensity to communicate unreal information. Reproduction is asexual. The offspring receives the ipr and ipu of the parent. cpr and cpu are reset to some initial value. The mean values of ipr and ipu are plotted. NETLOGO FEATURES ---------------- See Sample Models/Biology/Evolution RELATED MODELS -------------- CREDITS AND REFERENCES ---------------------- Created by Jon Pearce (http://www.cs.sjsu.edu/faculty/pearce/pearce.html) @#$#@#$#@ default true 0 Polygon -7500403 true true 150 5 40 250 150 205 260 250 airplane true 0 Polygon -7500403 true true 150 0 135 15 120 60 120 105 15 165 15 195 120 180 135 240 105 270 120 285 150 270 180 285 210 270 165 240 180 180 285 195 285 165 180 105 180 60 165 15 arrow true 0 Polygon -7500403 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150 box false 0 Polygon -7500403 true true 150 285 285 225 285 75 150 135 Polygon -7500403 true true 150 135 15 75 150 15 285 75 Polygon -7500403 true true 15 75 15 225 150 285 150 135 Line -16777216 false 150 285 150 135 Line -16777216 false 150 135 15 75 Line -16777216 false 150 135 285 75 bug true 0 Circle -7500403 true true 96 182 108 Circle -7500403 true true 110 127 80 Circle -7500403 true true 110 75 80 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