globals [ percent-similar ;; on the average, what percent of a turtle's neighbors ;; are the same color as that turtle? percent-unhappy ;; what percent of the turtles are unhappy? ] turtles-own [ happy? ;; for each turtle, indicates whether at least %-similar-wanted percent of ;; that turtles' neighbors are the same color as the turtle ] patches-own [ reds-nearby ;; how many neighboring patches have a red turtle? greens-nearby ;; ditto for green turtles total-nearby ;; sum of previous two variables ] to setup ca cct number [ setxy (random screen-size-x) ;; randomize the turtle locations (random screen-size-y) ifelse who < (number / 2) ;; turn half the turtles red, the others green [ set color red ] [ set color green ] if any other-turtles-here ;; make sure each turtle is in its own patch [ old-find-new-spot ] ] update-variables do-plots end to old-find-new-spot rt random 360 fd random 10 if any other-turtles-here [ old-find-new-spot ] end to go move-unhappy-turtles update-variables do-plots if not any turtles with [not happy?] [ stop ] end to move-unhappy-turtles ask turtles [ if not happy? [ find-new-spot ] ] end to find-new-spot ;; turtle procedure locals [ tempid tempx tempy ] ;; check to see if there is an open patch in any of the turtle's 8 neighbors ;; if an opening exists, move towards it (or a random one if there are multiple) ;; if not, swap positions with a random neighbor ifelse jumping? [ old-find-new-spot ] [ without-interruption [ ifelse ((any neighbors with [not any turtles-here]) and (random 5 > 0)) ;; to avoid 'traps' where a turtle gets stuck in an enclosed gap ;; we will swap positions with a neighbor 20 percent of the time ;; even if there is an open space next to us [ move (turtle who) (random-one-of neighbors with [not any turtles-here]) ] [ ask random-one-of neighbors with [ any turtles-here ] [ set tempid who-of random-one-of turtles-here set tempx pxcor set tempy pycor ] move (turtle tempid) patch-here move (turtle who) (patch tempx tempy) ] ] ] end to move [ moving-turtle destination ] ask moving-turtle [ set xcor pxcor-of destination set ycor pycor-of destination ] end to update-variables update-patches update-turtles update-globals end to update-patches ask patches [ ;; in next two lines, we use "neighbors" to test the eight patches surrounding ;; the current patch set reds-nearby count neighbors with [any turtles-here with [color = red]] set greens-nearby count neighbors with [any turtles-here with [color = green]] set total-nearby reds-nearby + greens-nearby ] end to update-turtles ask turtles [ if color = red [ set happy? reds-nearby >= ( %-similar-wanted * total-nearby / 100 ) ] if color = green [ set happy? greens-nearby >= ( %-similar-wanted * total-nearby / 100 ) ] ] end to update-globals locals [ similar-neighbors total-neighbors ] set similar-neighbors sum values-from turtles with [color = red] [reds-nearby] + sum values-from turtles with [color = green] [greens-nearby] set total-neighbors sum values-from turtles [total-nearby] set percent-similar (similar-neighbors / total-neighbors) * 100 set percent-unhappy (count turtles with [not happy?]) / (count turtles) * 100 end to do-plots set-current-plot "Percent Similar" plot percent-similar set-current-plot "Percent Unhappy" plot percent-unhappy end ; *** NetLogo Model Copyright Notice *** ; ; This model was created as part of the project: CONNECTED MATHEMATICS: ; MAKING SENSE OF COMPLEX PHENOMENA THROUGH BUILDING OBJECT-BASED PARALLEL ; MODELS (OBPML). The project gratefully acknowledges the support of the ; National Science Foundation (Applications of Advanced Technologies ; Program) -- grant numbers RED #9552950 and REC #9632612. ; ; Copyright 1998 by Uri Wilensky. All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Uri Wilensky. ; Contact Uri Wilensky for appropriate licenses for redistribution for ; profit. ; ; This model was converted to NetLogo as part of the project: ; PARTICIPATORY SIMULATIONS: NETWORK-BASED DESIGN FOR SYSTEMS LEARNING IN ; CLASSROOMS. The project gratefully acknowledges the support of the ; National Science Foundation (REPP program) -- grant number REC #9814682. ; Converted from StarLogoT to NetLogo, 2001. Updated 2002. ; ; To refer to this model in academic publications, please use: ; Wilensky, U. (1998). NetLogo Segregation model. ; http://ccl.northwestern.edu/netlogo/models/Segregation. ; Center for Connected Learning and Computer-Based Modeling, ; Northwestern University, Evanston, IL. ; ; *** End of NetLogo Model Copyright Notice *** @#$#@#$#@ GRAPHICS-WINDOW 311 18 617 324 25 25 6.0 1 10 0 0 CC-WINDOW 264 388 662 494 Command Center MONITOR 477 328 590 377 Percent Unhappy percent-unhappy 1 1 MONITOR 353 328 461 377 Percent Similar percent-similar 1 1 PLOT 5 125 254 318 Percent Similar time % 0.0 25.0 0.0 100.0 true false PENS "percent" 1.0 0 -65536 true PLOT 6 318 255 517 Percent Unhappy time % 0.0 25.0 0.0 100.0 true false PENS "percent" 1.0 0 -11352576 true SLIDER 12 52 224 85 number number 500 2500 2000 10 1 NIL SLIDER 12 89 224 122 %-similar-wanted %-similar-wanted 0.0 100.0 45.0 1.0 1 % BUTTON 12 17 92 50 setup setup NIL 1 T OBSERVER BUTTON 97 17 177 50 go go T 1 T OBSERVER SWITCH 180 17 294 50 jumping? jumping? 1 1 -1000 @#$#@#$#@ WHAT IS IT? ------------ This project models the behavior of two types of turtles in a mythical pond. The red turtles and green turtles get along with one another. But each turtle wants to make sure that it lives near some of "its own." That is, each red turtle wants to live near at least some red turtles, and each green turtle wants to live near at least some green turtles. The simulation shows how these individual preferences ripple through the pond, leading to large-scale patterns. This project was inspired by Thomas Schelling's writings about social systems (such as housing patterns in cities). HOW TO USE IT -------------- Click the SETUP button to set up the turtles. There are equal numbers of red and green turtles. The turtles move around until there is at most one turtle on a patch. Click GO to start the simulation. If turtles don't have enough same-color neighbors, they jump to a nearby patch. The JUMPING? switch controls whether or not turtles are allowed to jump multiple spaces in a single move. With JUMPING? turned on the model works exactly the same as the original Segregation model. With JUMPING? turned off the turtles can only move one space at a time. A turtle is only allowed to move into an unoccupied space or swap locations with an adjacent neighbor. The NUMBER slider controls the total number of turtles. (It takes effect the next time you click SETUP.) The %-SIMILAR-WANTED slider controls the percentage of same-color turtles that each turtle wants among its neighbors. For example, if the slider is set at 30, each green turtle wants at least 30% of its neighbors to be green turtles. The "Percent Similar" monitor shows the average percentage of same-color neighbors for each turtle. It starts at about 0.5, since each turtle starts (on average) with an equal number of red and green turtles as neighbors. The "Percent Unhappy" monitor shows the percent of turtles that have fewer same-color neighbors than they want (and thus want to move). Both monitors are also plotted. THINGS TO NOTICE ---------------- When you execute SETUP, the red and green turtles are randomly distributed throughout the pond. But many turtles are "unhappy" since they don't have enough same-color neighbors. The unhappy turtles jump to new locations in the vicinity. But in the new locations, they might tip the balance of the local population, prompting other turtles to leave. If a few red turtles move into an area, the local green turtles might leave. But when the green turtles move to a new area, they might prompt red turtles to leave that area. Over time, the number of unhappy turtles decreases. But the pond becomes more segregated, with clusters of red turtles and clusters of green turtles. In the case where each turtle wants at least 30% same-color neighbors, the turtles end up with (on average) 70% same-color neighbors. So relatively small individual preferences can lead to significant overall segregation. THINGS TO TRY ------------ Try different values for %-SIMILAR-WANTED. How does the overall degree of segregation change? If each turtle wants at least 40% same-color neighbors, what percentage (on average) do they end up with? NETLOGO FEATURES ---------------- In the UPDATE-GLOBALS procedure, note the use of SUM, COUNT, VALUES-FROM, and WITH to compute the percentages displayed in the monitors and plots. In FIND-NEW-SPOT notice the use of WITHOUT-INTERRUPTION. This is critical to correct behavior of turtles during movement. CREDITS AND REFERENCES ---------------------- Schelling, T. (1978). Micromotives and Macrobehavior. New York: Norton. Seee also a recent Atlantic article: Rauch, J. (2002). Seeing Around Corners; The Atlantic Monthly; April 2002;Volume 289, No. 4; 35-48. http://www.theatlantic.com/issues/2002/04/rauch.htm To refer to this model in academic publications, please use: Wilensky, U. (1998). NetLogo Segregation model. http://ccl.northwestern.edu/netlogo/models/Segregation. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. @#$#@#$#@ default true 0 Polygon -7566196 true true 150 5 40 250 150 205 260 250 arrow true 0 Polygon -7566196 true true 150 0 0 150 105 150 105 293 195 293 195 150 300 150 box true 0 Polygon -7566196 true true 45 255 255 255 255 45 45 45 spacecraft true 0 Polygon -7566196 true true 150 0 180 135 255 255 225 240 150 180 75 240 45 255 120 135 thin-arrow true 0 Polygon -7566196 true true 150 0 0 150 120 150 120 293 180 293 180 150 300 150 turtle true 0 Polygon -7566196 true true 138 75 162 75 165 105 225 105 225 142 195 135 195 187 225 195 225 225 195 217 195 202 105 202 105 217 75 225 75 195 105 187 105 135 75 142 75 105 135 105 person false 0 Circle -7566196 true true 155 20 63 Rectangle -7566196 true true 158 79 217 164 Polygon -7566196 true true 158 81 110 129 131 143 158 109 165 110 Polygon -7566196 true true 216 83 267 123 248 143 215 107 Polygon -7566196 true true 167 163 145 234 183 234 183 163 Polygon -7566196 true true 195 163 195 233 227 233 206 159 truck-down false 0 Polygon -7566196 true true 225 30 225 270 120 270 105 210 60 180 45 30 105 60 105 30 Polygon -8716033 true false 195 75 195 120 240 120 240 75 Polygon -8716033 true false 195 225 195 180 240 180 240 225 truck-right false 0 Polygon -7566196 true true 180 135 75 135 75 210 225 210 225 165 195 165 Polygon -8716033 true false 210 210 195 225 180 210 Polygon -8716033 true false 120 210 105 225 90 210 truck-left false 0 Polygon -7566196 true true 120 135 225 135 225 210 75 210 75 165 105 165 Polygon -8716033 true false 90 210 105 225 120 210 Polygon -8716033 true false 180 210 195 225 210 210 circle true 0 Circle -7566196 true true 35 35 230 @#$#@#$#@ NetLogo 1.2beta2 @#$#@#$#@ @#$#@#$#@ @#$#@#$#@