globals [popsize cullsize started bark-color dark-color light-color dom-color rec-color] breed [moths moth] breed [birds bird] breed [couples couple] breed [exes ex] moths-own [chromosome1 chromosome2 doomed? active? chosen? flapping? partner targetx targety] birds-own [target sated?] couples-own [cross-type] to-report get-cross-text [moth1 moth2] let result "" let tmp1 [chromosome1] of moth1 + [chromosome2] of moth1 let tmp2 [chromosome1] of moth2 + [chromosome2] of moth2 let g1 max list tmp1 tmp2 let g2 min list tmp1 tmp2 ifelse g1 = 0 [ set result word result "bb x " ][ ifelse g1 = 1 [set result word result "Bb x "][set result word result "BB x "] ] ifelse g2 = 0 [ set result word result "bb" ][ ifelse g2 = 1 [set result word result "Bb"][set result word result "BB"] ] report result end to setup clear-all set-default-shape moths "butterfly" set dark-color 1 set light-color 8 ifelse dominant-allele = "dark" [ set dom-color dark-color set rec-color light-color ][ set dom-color light-color set rec-color dark-color ] set started 1 set popsize 50 set cullsize 10 lighten-bark create-moths popsize ask moths [ set shape "butterfly" setxy random-pxcor random-pycor set size 3 set doomed? false set active? false set chosen? false set flapping? false set color dark-color set chromosome1 0 set chromosome2 0 if random 2 = 0 [set chromosome1 1 set chromosome2 1] ifelse chromosome1 + chromosome2 > 0 [set color dom-color][set color rec-color] ] do-labels do-plot end to lighten-bark import-drawing "bark_light.png" set bark-color "light" end to darken-bark import-drawing "bark_dark.png" set bark-color "dark" end to mate ask n-of (int ((count moths) / 2 )) moths [set chosen? true] ask moths with [chosen?][ ask one-of moths with [not active? and not chosen?][ set active? true set partner myself if distance partner > 0 [set heading towards partner] ] ] while [count moths > 1] [ ask moths with [active?][ ifelse distance partner > 2 [ forward 2 ;wait 0.01 ifelse flapping? [set shape "butterfly"][set shape "butterfly-flapping"] set flapping? (not flapping?) ] [ move-to partner hatch 1 [ set breed couples set cross-type (get-cross-text myself ([partner] of myself)) set shape "heart" set heading 0 set label cross-type set size 1 wait 0.05 set size 2 wait 0.05 set size 3 ] ask partner [die] die ] ; end ifelse ]] while [count moths < popsize] [ ask one-of couples [ if cross-type = "BB x BB" [ hatch 1 [ set breed moths set chromosome1 1 set chromosome2 1 ]] if cross-type = "bb x bb" [ hatch 1 [ set breed moths set chromosome1 0 set chromosome2 0 ]] if cross-type = "BB x Bb" [ hatch 1 [ set breed moths set chromosome1 1 ifelse random 2 = 0 [set chromosome2 0][set chromosome2 1] ]] if cross-type = "Bb x bb" [ hatch 1 [ set breed moths set chromosome1 0 ifelse random 2 = 0 [set chromosome2 0][set chromosome2 1] ]] if cross-type = "Bb x Bb" [ hatch 1 [ set breed moths ifelse random 2 = 0 [set chromosome1 0][set chromosome1 1] ifelse random 2 = 0 [set chromosome2 0][set chromosome2 1] ]] if cross-type = "BB x bb" [ hatch 1 [ set breed moths set chromosome1 1 set chromosome2 0 ]] ] ] do-labels mutate do-plot ask couples [set size 3] ask moths [ set active? false set chosen? false set shape "butterfly" set flapping? false set doomed? false set size 2 ifelse chromosome1 + chromosome2 > 0 [set color dom-color][set color rec-color] ; set targetx random-pxcor ; set targety random-pycor ] ; while [any? moths with [distancexy targetx targety > 2]] [ ; ask moths with [distancexy targetx targety > 2] [ ; set heading towardsxy targetx targety ; forward 2 ; wait 0.001 ;ifelse flapping? [set shape "butterfly"][set shape "butterfly-flapping"] ;set flapping? (not flapping?) ;set flapping? false ;set shape "butterfly" ; ] ; ] foreach [1 2 3 4][ask moths [set heading random 360 fd 3 wait 0.001]] ask couples [die] ask moths [set size 3] wait 0.5 end to select let cryptic-color dark-color if bark-color = "light" [set cryptic-color light-color] while [count moths with [doomed?] < cullsize] [ ifelse any? moths with [color != cryptic-color and not doomed?] and any? moths with [color = cryptic-color and not doomed?][ ifelse random 10 < 2 [ask one-of moths with [color = cryptic-color][set doomed? true]] [ask one-of moths with [color != cryptic-color][set doomed? true]] ][ ask one-of moths [set doomed? true] ] ] ask moths with [doomed?] [ hatch 1 [ set breed exes set shape "x" set heading 0 ifelse [color] of myself = light-color[set color 16][set color 14] set size 4 ] ] wait 2 ask moths with [doomed?][die] ask exes [die] wait 0.5 end to do-plot let dom-pen-name "dark allele" let rec-pen-name "light allele" if dominant-allele = "light" [set dom-pen-name "light allele" set rec-pen-name "dark allele"] let dom-freq ((count moths with [chromosome1 = 1]) + (count moths with [chromosome2 = 1])) / (2 * count moths) set-current-plot-pen dom-pen-name plotxy ticks dom-freq set-current-plot-pen rec-pen-name plotxy ticks (1.0 - dom-freq) end to do-labels ifelse genotype-labels [ ask moths [ set label-color red let tmp chromosome1 + chromosome2 ifelse tmp = 0 [set label "bb"] [ifelse tmp = 1 [set label "Bb"][set label "BB"]] ] ] [ask moths [set label ""] ] end to mutate ask moths [ if random 100 = 0 [ ifelse random 2 = 0 [ifelse chromosome1 = 0 [set chromosome1 1][set chromosome1 0]] [ifelse chromosome2 = 0 [set chromosome2 1][set chromosome2 0]] ] ] end to go-once tick ifelse started = 0 [ ask patch 0 0 [set plabel "Please set up first."] ][ do-labels select mate ] end @#$#@#$#@ GRAPHICS-WINDOW 378 10 817 470 16 16 13.0 1 10 1 1 1 0 1 1 1 -16 16 -16 16 0 0 1 ticks CC-WINDOW 5 484 826 579 Command Center 0 BUTTON 90 356 153 389 light lighten-bark NIL 1 T OBSERVER NIL NIL NIL NIL BUTTON 15 355 78 388 dark darken-bark NIL 1 T OBSERVER NIL NIL NIL NIL BUTTON 14 36 160 161 set up (do this first) setup NIL 1 T OBSERVER NIL NIL NIL NIL BUTTON 174 37 295 93 go once go-once NIL 1 T OBSERVER NIL NIL NIL NIL SWITCH 131 408 272 441 genotype-labels genotype-labels 0 1 -1000 CHOOSER 15 404 107 449 dominant-allele dominant-allele "dark" "light" 0 PLOT 14 172 367 338 allele frequencies time frequency 0.0 10.0 0.0 1.0 true true PENS "dark allele" 1.0 0 -16777216 true "light allele" 1.0 0 -7500403 true BUTTON 174 106 297 162 go repeatedly / stop go-once T 1 T OBSERVER NIL NIL NIL NIL @#$#@#$#@ WHAT IS IT? ----------- This is a simple simulation of natural selection in a trait controlled by a single gene with two alleles. It is modeled on evolution of color-morphs of the peppered moth Biston betularia. Peppered moths rest on tree trunks. In England in the early 19th century, the most commonly seen of these moths had light-gray, speckled wings. They were well camouflaged against the light-gray lichens and bark. Occasionally one saw dark-winged morphs, but these were poorly camouflaged and tended to be eaten by birds. As the Industrial Revolution progressed, air pollution killed many of the lichens and darkened the tree trunks with soot. As the previously cryptic light-winged moths became visible to predators -- and the dark-winged morphs became better camouflaged -- the dark-winged trait became more common. HOW IT WORKS ------------ Each moth has a single-gene, two-allele genotype. There are two phenotypes -- light and dark -- and the user can specify whether light or dark is the dominant trait. In every generation, the simulation starts with a population of fifty moths. Selection eliminates ten of them, preferentially eliminating dark moths if the bark is light and light moths if the bark is dark. The surviving moths then pair off and mate. Pairs produce offspring whose genotypes are determined probabilistically by simple Mendelian genetics. Offspring phenotypes follow from their genotypes. The plot then records the new generation's allele frequencies. HOW TO USE IT ------------- First, SET UP. This creates the first generation of moths. Your first time playing with the simulation, leave all the settings at their defaults. Click GO ONCE. Watch selection eliminate moths, and note that the poorly-camouflaged moths are preferentially killed. (Selection is indicated by X's. Dark moths have dark-red X's, and light moths have light-red X's, so it's easy to make a quick visual assessment of the selection bias.) If you have the genotype-labels turned on, watch the genotypes of the offspring as they emerge from the crosses. Either way, get a general feel for whether you see more or fewer dark moths emerging. Click GO ONCE again, or click GO REPEATEDLY. (Click GO REPEATEDLY again to stop. Note that the simulation won't stop immediately; it will stop at the end of the current generation.) Watch the trajectories of the allele frequencies. THINGS TO NOTICE ---------------- When the bark is light, you should see the dark allele decrease in frequency. When the bark is dark, you should see the light allele decline. It doesn't happen particularly straightforwardly, though. Does one of the elleles decline more quiickly than the other? Why? (Look at http://people.brynmawr.edu/twong/models/completedominance.html for a hint.) THINGS TO TRY ------------- The default settings have the light allele as recessive to dark. Try setting the light as dominant. With light bark, does the dark allele decline more or less quickly than before? (Remember, you can't make conclusions on the basis of single trials. Try running the simulation to fixation several times for each set of settings, and compare averages.) RELATED MODELS -------------- http://people.brynmawr.edu/twong/models/completedominance.html http://people.brynmawr.edu/twong/models/incompletedominance.html http://faculty.ccp.edu/faculty/twong/demos/drift.html CREDITS AND REFERENCES ---------------------- This simulation was built by Ted Wong, November 2009. It is hosted as a web applet at http://faculty.ccp.edu/faculty/twong/demos/simple_selection.html More detailed information on peppered-moth evolution can be found at http://en.wikipedia.org/wiki/Peppered_moth_evolution @#$#@#$#@ 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 bird true 0 Polygon -7500403 true true 135 165 90 270 120 300 180 300 210 270 165 165 Rectangle -7500403 true true 120 105 180 237 Polygon -7500403 true true 135 105 120 75 105 45 121 6 167 8 207 25 257 46 180 75 165 105 Circle -16777216 true false 128 21 42 Polygon -7500403 true true 163 116 194 92 212 86 230 86 250 90 265 98 279 111 290 126 296 143 298 158 298 166 296 183 286 204 272 219 259 227 235 240 241 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