breed [a1] breed [a2] breed [b1] breed [b2] breed [c1] breed [c2] globals [ po1 po2 ] ;; -_-_-_-_-_-_-_-_-_-_-_-_-_- SETUP -_-_-_-_-_-_-_-_-_-_-_-_-_- to Setup clear-all initial setup-patches setup-turtles reset-ticks ask patches with [ pxcor = 0 ][ set pcolor yellow] end to setup-patches ask patches [ set pcolor green ] end to initial set po1 1 set po2 1 end to setup-turtles create-a1 Splitting_A [ set shape "sheep" set color blue ] ask a1 [ setxy random-xcor random-ycor if xcor > 0 [ set xcor xcor - max-pxcor ] if int(xcor) = 0 [ set xcor -1 ] ] create-a2 (Ewes_A - Splitting_A) [ set shape "sheep" set color blue ] ask a2 [ setxy random-xcor random-ycor if xcor < 0 [ set xcor xcor + max-pxcor ] if int(xcor) = 0 [ set xcor 1 ] ] create-b1 Splitting_B [ set shape "sheep" set color grey ] ask b1 [ setxy random-xcor random-ycor if xcor > 0 [ set xcor xcor - max-pxcor ] if int(xcor) = 0 [ set xcor -1 ] ] create-b2 (Ewes_B - Splitting_B) [ set shape "sheep" set color grey ] ask b2 [ setxy random-xcor random-ycor if xcor < 0 [ set xcor xcor + max-pxcor ] if int(xcor) = 0 [ set xcor 1 ] ] create-c1 Splitting_C [ set shape "sheep" set color red ] ask c1 [ setxy random-xcor random-ycor if xcor > 0 [ set xcor xcor - max-pxcor ] if int(xcor) = 0 [ set xcor -1 ] ] create-c2 (Ewes_C - Splitting_C) [ set shape "sheep" set color red ] ask c2 [ setxy random-xcor random-ycor if xcor < 0 [ set xcor xcor + max-pxcor ] if int(xcor) = 0 [ set xcor 1 ] ] end ;; _-_-_-_-_-_-_-_-_-_-_-_- END SETUP -_-_-_-_-_-_-_-_-_-_-_-_ turtles-own[energy] ;; _-_-_-_-_-_-_-_-_-_-_-_-_-_- GO -_-_-_-_-_-_-_-_-_-_-_-_-_-_ to go move-turtles eat-grass reproduce check-death regrow-grass tick end to move-turtles ask turtles [ right random 360 forward 1 set energy energy - 1 ] ask a1 [ if xcor >= 0 [ set xcor (xcor - max-pxcor)]] ask a2 [ if xcor <= 0 [ set xcor (xcor + max-pxcor)]] ask b1 [ if xcor >= 0 [ set xcor (xcor - max-pxcor)]] ask b2 [ if xcor <= 0 [ set xcor (xcor + max-pxcor)]] ask c1 [ if xcor >= 0 [ set xcor (xcor - max-pxcor)]] ask c2 [ if xcor <= 0 [ set xcor (xcor + max-pxcor)]] end to eat-grass ask turtles [ if pcolor = green [ set pcolor lime - 3 set energy energy + 10 ] ] if Active_simulation [ if po1 = 1 [ if ( count a1 / (count a1 + count b1 + count c1 ) ) * 100 >= Quota_for_appropriation [ if po2 = 1 [ create-b2 (count b1) [ set shape "sheep" set color grey ] create-c2 (count c1) [ set shape "sheep" set color red ] ] ask b1 [die] ask c1 [die] output-print "A encloses field 1!" set po1 0 ] if ( count b1 / (count a1 + count b1 + count c1 ) ) * 100 >= Quota_for_appropriation [ if po2 = 1 [ create-a2 (count a1) [ set shape "sheep" set color blue ] create-c2 (count c1) [ set shape "sheep" set color red ] ] ask a1 [die] ask c1 [die] output-print "B encloses field 1!" set po1 0 ] if ( count c1 / (count a1 + count b1 + count c1 ) ) * 100 >= Quota_for_appropriation [ if po2 = 1 [ create-b2 (count b1) [ set shape "sheep" set color grey ] create-a2 (count a1) [ set shape "sheep" set color blue ] ] ask b1 [die] ask a1 [die] output-print "C encloses field 1!" set po1 0 ] ] if po2 = 1 [ if ( count a2 / (count a2 + count b2 + count c2 ) ) * 100 >= Quota_for_appropriation [ if po1 = 1 [ create-b1 (count b2) [ set shape "sheep" set color grey ] create-c1 (count c2) [ set shape "sheep" set color red ] ] ask b2 [die] ask c2 [die] output-print "A encloses field 2!" set po2 0 ] if ( count b2 / (count a2 + count b2 + count c2 ) ) * 100 >= Quota_for_appropriation [ if po1 = 1 [ create-a1 (count a2) [ set shape "sheep" set color blue ] create-c1 (count c2) [ set shape "sheep" set color red ] ] ask a2 [die] ask c2 [die] output-print "B encloses field 2!" set po2 0 ] if ( count c2 / (count a2 + count b2 + count c2 ) ) * 100 >= Quota_for_appropriation [ if po1 = 1 [ create-b1 (count b2) [ set shape "sheep" set color grey ] create-a1 (count a2) [ set shape "sheep" set color red ] ] ask b2 [die] ask a2 [die] output-print "C encloses field 2!" set po2 0 ] ] ] end to reproduce ifelse Interaction [ ask a1 [ if energy > 50 [ if random-float 1 < ( Arrogance_A * ( count a1 / (count a1 + count b1 + count c1 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ask a2 [ if energy > 50 [ if random-float 1 < ( Arrogance_A * (count a2 / (count a2 + count b2 + count c2 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ask b1 [ if energy > 50 [ if random-float 1 < ( Arrogance_B * ( count b1 / (count a1 + count b1 + count c1 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ask b2 [ if energy > 50 [ if random-float 1 < ( Arrogance_B * (count b2 / (count a2 + count b2 + count c2 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ask c1 [ if energy > 50 [ if random-float 1 < ( Arrogance_C * ( count c1 / (count a1 + count b1 + count c1 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ask c2 [ if energy > 50 [ if random-float 1 < ( Arrogance_C * (count c2 / (count a2 + count b2 + count c2 ) ) ) [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] ] [ ask turtles [ if random 100 < Reproduction_sheep [ hatch 1 [ set energy 50 ] set energy energy - 50 ] ] ] end to check-death ask turtles [ if energy <= 0 [ die ] ] end to regrow-grass ask patches [ if pxcor < 0 [ if random 100 < Growth_grass_field_1 [ set pcolor green ] ] if pxcor > 0 [ if random 100 < Growth_grass_field_2 [set pcolor green ] ] ] end @#$#@#$#@ GRAPHICS-WINDOW 239 10 886 522 24 18 13.0 1 10 1 1 1 0 0 0 1 -24 24 -18 18 0 0 1 ticks 30.0 BUTTON 150 10 236 43 Setup Setup NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 63 10 150 43 Go Go T 1 T OBSERVER NIL NIL NIL NIL 0 INPUTBOX 0 46 64 111 Ewes_A 4 1 0 Number INPUTBOX 0 115 64 180 Ewes_B 4 1 0 Number INPUTBOX 0 184 64 249 Ewes_C 4 1 0 Number SLIDER 64 46 236 79 Splitting_A Splitting_A 0 Ewes_A 3 1 1 NIL HORIZONTAL SLIDER 64 115 236 148 Splitting_B Splitting_B 0 Ewes_B 2 1 1 NIL HORIZONTAL SLIDER 64 184 236 217 Splitting_C Splitting_C 0 Ewes_C 1 1 1 NIL HORIZONTAL SLIDER 0 253 236 286 Growth_grass_field_1 Growth_grass_field_1 0 50 3 0.5 1 % HORIZONTAL MONITOR 1281 10 1331 55 A 1 count a1 * 100 / (count a1 + count b1 + count c1) 2 1 11 MONITOR 1281 191 1331 236 A 2 count a2 * 100 / (count a2 + count b2 + count c2) 2 1 11 PLOT 888 10 1281 190 Field 1 Time % sheep 0.0 10.0 0.0 100.0 true false "" "" PENS "default" 1.0 0 -13345367 true "" "plot ( count a1 / (count a1 + count b1 + count c1 ) ) * 100" "pen-1" 1.0 0 -7500403 true "" "plot ( count b1 / (count a1 + count b1 + count c1 ) ) * 100" "pen-2" 1.0 0 -2674135 true "" "plot ( count c1 / (count a1 + count b1 + count c1 ) ) * 100" "pen-3" 1.0 0 -10899396 true "" "plot (count patches with [pxcor < 0] with [pcolor = green ]) * 100 / ( ( (2 * max-pycor) + 1 ) * max-pxcor)" PLOT 888 191 1281 371 Field 2 Time % sheep 0.0 10.0 0.0 100.0 true false "" "" PENS "default" 1.0 0 -13345367 true "" "plot ( count a2 / (count a2 + count b2 + count c2 ) ) * 100" "pen-1" 1.0 0 -7500403 true "" "plot ( count b2 / (count a2 + count b2 + count c2 ) ) * 100" "pen-2" 1.0 0 -2674135 true "" "plot ( count c2 / (count a2 + count b2 + count c2 ) ) * 100" "pen-3" 1.0 0 -10899396 true "" "plot (count patches with [pxcor > 0] with [pcolor = green ]) * 100 / ( ( (2 * max-pycor) + 1 ) * max-pxcor)" TEXTBOX 45 48 60 73 ❶\n 18 105.0 1 TEXTBOX 45 116 60 141 ❷ 18 5.0 1 TEXTBOX 45 185 60 210 ❸ 18 15.0 1 MONITOR 1281 55 1331 100 B 1 count b1 * 100 / (count a1 + count b1 + count c1) 2 1 11 MONITOR 1281 236 1331 281 B 2 count b2 * 100 / (count a2 + count b2 + count c2) 2 1 11 MONITOR 1281 100 1331 145 C 1 count c1 * 100 / (count a1 + count b1 + count c1) 2 1 11 MONITOR 1281 281 1331 326 C 2 count c2 * 100 / (count a2 + count b2 + count c2) 2 1 11 SLIDER 64 78 236 111 Arrogance_A Arrogance_A 0 3 1 0.01 1 NIL HORIZONTAL SLIDER 64 147 236 180 Arrogance_B Arrogance_B 0 3 1 0.01 1 NIL HORIZONTAL SLIDER 64 216 236 249 Arrogance_C Arrogance_C 0 3 1 0.01 1 NIL HORIZONTAL SWITCH 103 350 236 383 Active_simulation Active_simulation 0 1 -1000 SLIDER 0 383 236 416 Quota_for_appropriation Quota_for_appropriation 0 100 90 0.5 1 % HORIZONTAL PLOT 888 373 1331 522 Total amount of sheep Time % sheep 0.0 10.0 0.0 100.0 true false "" "" PENS "default" 1.0 0 -13345367 true "" "plot ( count a1 + count a2 ) * 100 / count turtles" "pen-1" 1.0 0 -7500403 true "" "plot ( count b1 + count b2 ) * 100 / count turtles" "pen-2" 1.0 0 -2674135 true "" "plot ( count c1 + count c2 ) * 100 / count turtles" "pen-3" 1.0 0 -13840069 true "" "plot ( count patches with [ pcolor = green ] ) / count patches" MONITOR 0 423 79 468 A || Total count a1 + count a2 17 1 11 MONITOR 79 423 158 468 B || Total count b1 + count b2 17 1 11 MONITOR 158 423 237 468 C || Total count c1 + count c2 17 1 11 TEXTBOX 1286 13 1326 31 ● ● 11 105.0 1 TEXTBOX 1286 58 1325 76 ● ● 11 5.0 1 TEXTBOX 1285 104 1324 122 ● ● 11 15.0 1 TEXTBOX 1287 147 1328 165 ● ● 11 65.0 1 MONITOR 1281 326 1331 371 Grass count patches with [ pxcor > 0 ] with [pcolor = green ] 17 1 11 TEXTBOX 1287 194 1326 212 ● ● 11 105.0 1 TEXTBOX 1286 240 1325 258 ● ● 11 5.0 1 TEXTBOX 1287 284 1327 302 ● ● 11 15.0 1 OUTPUT 0 468 237 522 12 SLIDER 0 285 236 318 Growth_grass_field_2 Growth_grass_field_2 0 50 3 0.5 1 % HORIZONTAL MONITOR 1281 145 1331 190 Grass count patches with [pcolor = green] with [pxcor < 0] 17 1 11 SWITCH 0 350 103 383 Interaction Interaction 1 1 -1000 SLIDER 0 317 236 350 Reproduction_sheep Reproduction_sheep 0 100 3 1 1 NIL HORIZONTAL @#$#@#$#@ ## WHAT IS IT The model represents two fields in 19th's century England, before the industrial revolution. Three sheep farmers [A, B, C] pastures their animals [blue, gray, red]. Each of them wants to put the most of sheep as possible. They (in the model) start placing a fixed number of animals, sharing them out between the two fields. Sheep can reproduce, eat grass and die (if they don't find enough grass). When a farmer become "important" enough (i.e. he has much more sheep than any other farmer) he can enclose the field and chase away sheep that he does not own. ## HOW TO USE IT SPLITTING: You can share sheep of a farmer between the two fields. REPRODUCTION SHEEP: It is the probability of a sheep reproducing at each time step (only in INTERACTION_OFF - read on) GROWTH GRASS FIELD: How long it takes for grass to regrow once it is eaten. INTERACTION --- Off: Sheep reproduce independently of other animals; On: We suppose the sheep be very, very, prolific. The farmer can place in the field only few animals, according to the percentage of sheep he has and his ARROGANCE. ACTIVE SIMULATION --- Off: Model go on as long as you want. On: When the percentage of sheep of a farmer reach the QUOTA FOR APPROPRIATION, he encloses the field. The sheep of another color go in the adjoining field or die. ## HOW IT WORKS The model starts with a fixed number of sheep, shared between two fields. At each tick sheep wander randomly, using their energy. If a sheep arrives on a "patch of grass" it eats and increases its energy. If the energy is 0, the sheep dies. If INTERACTION is OFF, sheep can reproduce according to the growth-tax REPRODUCTION SHEEP. If INTERACTION in ON, sheep "born" when they have a place in the field. The formula used in INTERACTION_ON is: Probability of maintaining a sheep = ARROGANCE * no. of sheep / total amount of sheep NOTE: When the probability is >1 (considering that it does not exist) in the model it is actually 1. ## CREDITS AND REFERENCES Julia Schindler (2012) Rethinking the Tragedy of the Commons: The Integration of Socio-Psychological Dispositions Journal of Artificial Societies and Social Simulation 15 (1) 4 @#$#@#$#@ 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 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