patches-own [ chemical ;; amount of chemical on this patch ground ;; color of ground food ;; amount of food on this patch (1 or 2) nest? ;; true on nest patches, false elsewhere nest-scent ;; number that is higher closer to the nest food-source-number ;; number (1, 2, 3, or 4) to identify the food sources ] ;;;;;;;;;;;;;;;;;;;;;;;; ;;; Setup procedures ;;; ;;;;;;;;;;;;;;;;;;;;;;;; to setup clear-all set-default-shape turtles "ant" ;; makes them look like ants resize-world -40 40 -40 40 ;;resize-world -30 30 -30 30 crt population [ set size 3 ;; easier to see set color red ] ;; red = not carrying food setup-patches do-plotting end to setup-patches ask patches [ setup-nest ;;setup-food create-food recolor-patch set pcolor 65 ] end to setup-nest ;; patch procedure ;; set nest? variable to true inside the nest, false elsewhere set nest? (distancexy 0 0) < 4 ;; spread a nest-scent over the whole world -- stronger near the nest set nest-scent 200 - distancexy 0 0 end to create-food if (distancexy (0.85 * max-pxcor) 0) < 6 [ set food-source-number 1 ] ;; setup food source two on the lower-left if (distancexy (-0.6 * max-pxcor) (-0.6 * max-pycor)) < 5 [ set food-source-number 2 ] ;; setup food source three on the upper-left if (distancexy (-0.7 * max-pxcor) (0.7 * max-pycor)) < 6 [ set food-source-number 3 ] ;; set "food" at sources to either 1 or 2, randomly if food-source-number > 0 [ set food one-of [1 2] ] end to recolor-patch ;; patch procedure ;; give color to nest and food sources ifelse nest? [ set pcolor brown ] ;; Color the nest Brown [ ifelse food > 0 ;; Color food [ if food-source-number = 1 [ set pcolor cyan ] if food-source-number = 2 [ set pcolor sky ] if food-source-number = 3 [ set pcolor blue ] if food-source-number = 4 [ set pcolor red ] ] ;; scale color to show chemical concentration [ ifelse chemical <= Chem-Low-Threshold [ set pcolor 65 ] [ ifelse chemical >= Chem-Upper-Threshold [ set pcolor white ] ;; if chemical <= Chem-Low-Threshold and chemical >= Chem-Upper-Threshold [ set pcolor scale-color green chemical Chem-Low-Threshold Chem-Upper-Threshold ] ] ] ] end ;;;;;;;;;;;;;;;;;;;;; ;;; Go procedures ;;; ;;;;;;;;;;;;;;;;;;;;; to go ;; forever button ask turtles [ if who >= ticks [ stop ] ;; delay initial departure ifelse color = red [ look-for-food ] ;; not carrying food? look for it [ return-to-nest ] ;; carrying food? take it back to nest fd 1 ] diffuse chemical (diffusion-rate / 100) ask patches [ set chemical chemical * (100 - evaporation-rate) / 100 ;; slowly evaporate chemical recolor-patch ] ask patches [ add-food ] ;add-ants tick do-plotting end to return-to-nest ;; turtle procedure if return-wiggle [ wiggle ] if not can-move? 1 [ rt 180 ] ifelse nest? [ ;; drop food and head out again set color red rt 180 ] [ set chemical chemical + 60 ;; drop some chemical uphill-nest-scent ] ;; head toward the greatest value of nest-scent end to look-for-food ;; turtle procedure wiggle if not can-move? 1 [ rt 180 ] if food > 0 [ set color 0 + 1 ;; pick up food set food food - 1 ;; and reduce the food source rt 180 ;; and turn around stop ] ;; go in the direction where the chemical smell is strongest if (chemical >= Chem-Low-Threshold) and (chemical < Chem-Upper-Threshold) [ uphill-chemical ] end ;; sniff forward, left, and right, and go where the strongest smell is to uphill-chemical ;; turtle procedure let scent-ahead chemical-scent-at-angle 0 let scent-right chemical-scent-at-angle LoS let scent-left chemical-scent-at-angle (LoS * -1) if (scent-right > scent-ahead) or (scent-left > scent-ahead) [ ifelse scent-right > scent-left [ rt LoS ] [ lt LoS ] ] end ;; sniff left and right, and go where the strongest smell is to uphill-nest-scent ;; turtle procedure let scent-ahead nest-scent-at-angle 0 let scent-right nest-scent-at-angle LoS let scent-left nest-scent-at-angle (LoS * -1) if (scent-right > scent-ahead) or (scent-left > scent-ahead) [ ifelse scent-right > scent-left [ rt LoS ] [ lt LoS ] ] end to wiggle ;; turtle procedure rt random-normal 0 amount-of-wiggle ;; lt random-normal 0 amount-of-wiggle ;; if not can-move? 1 [ rt 180 ] end to-report nest-scent-at-angle [angle] let p patch-right-and-ahead angle 1 if p = nobody [ report 0 ] report [nest-scent] of p end to-report chemical-scent-at-angle [angle] let p patch-right-and-ahead angle 1 if p = nobody [ report 0 ] report [chemical] of p end to Add-food ;; patch procedure ;; setup food source one on the right if mouse-down? [ ask patch mouse-xcor mouse-ycor [ if (distancexy mouse-xcor mouse-ycor) < 5 [ set food-source-number 4 set food 2 set pcolor red ] ] ] end ;to add-ants ; ask patch ; [ ; ;end ;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; Plotting procedures ;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;; to do-plotting if not plot? [ stop ] set-current-plot "Food in each pile" ;; since the plot? switch can be turned on and off at ;; any time, we must use PLOTXY to make sure points are ;; plotted with the proper x coordinates set-current-plot-pen "food-in-pile1" plotxy ticks sum [food] of patches with [pcolor = cyan] set-current-plot-pen "food-in-pile2" plotxy ticks sum [food] of patches with [pcolor = sky] set-current-plot-pen "food-in-pile3" plotxy ticks sum [food] of patches with [pcolor = blue] end ;; Credit to 1997 Uri Wilensky for frame of program @#$#@#$#@ GRAPHICS-WINDOW 257 10 834 608 40 40 7.0 1 10 1 1 1 0 0 0 1 -40 40 -40 40 0 0 1 ticks BUTTON 32 10 112 43 NIL setup NIL 1 T OBSERVER NIL NIL NIL NIL SLIDER 18 94 208 127 diffusion-rate diffusion-rate 0.0 99.0 33 3 1 NIL HORIZONTAL SLIDER 19 136 209 169 evaporation-rate evaporation-rate 0.0 12 2 1.0 1 NIL HORIZONTAL BUTTON 122 10 197 43 NIL go T 1 T OBSERVER NIL NIL NIL NIL SWITCH 81 582 171 615 plot? plot? 0 1 -1000 SLIDER 18 54 208 87 population population 0.0 200.0 159 1.0 1 NIL HORIZONTAL PLOT 8 381 251 577 Food in each pile time food 0.0 100.0 0.0 120.0 true false PENS "food-in-pile1" 1.0 0 -11221820 true "food-in-pile2" 1.0 0 -13791810 true "food-in-pile3" 1.0 0 -13345367 true SLIDER 28 177 200 210 amount-of-wiggle amount-of-wiggle 0 180 24 3 1 NIL HORIZONTAL SLIDER 28 214 200 247 LoS LoS 0 180 39 3 1 NIL HORIZONTAL SWITCH 45 334 191 367 return-wiggle return-wiggle 0 1 -1000 SLIDER 28 251 200 284 Chem-Low-Threshold Chem-Low-Threshold 0 1 0.2 .1 1 NIL HORIZONTAL SLIDER 29 293 218 326 Chem-Upper-Threshold Chem-Upper-Threshold 0 20 7 .5 1 NIL HORIZONTAL @#$#@#$#@ WHAT IS IT? ----------- This is an extention "Ants", a model included in the default model library of NetLogo. In this project, a colony of ants forages for food. Though each ant follows a set of simple rules, the colony as a whole acts in a sophisticated way. HOW IT WORKS ------------ When an ant finds a piece of food, it carries the food back to the nest, dropping a chemical as it moves. When other ants "sniff" the chemical, they follow the chemical toward the food. As more ants carry food to the nest, they reinforce the chemical trail. HOW TO USE IT ------------- Click the SETUP button to set up the ant nest (in violet, at center) and three piles of food. Click the GO button to start the simulation. The chemical is shown in a green-to-white gradient. The EVAPORATION-RATE slider controls the evaporation rate of the chemical. The DIFFUSION-RATE slider controls the diffusion rate of the chemical. There is an on-off PLOT? switch. Turning off the plotting lets the model run faster. If you want to change the number of ants, move the POPULATION slider before pressing SETUP. The original sliders were teaked a little to add functionality. You can click the screen to add food. AMOUNT-OF-WIGGLE is a parameter that controls how much the ants divate from a straight path. It randomly chooses a number from a normal distribution and tells the ant to step slightly in that direction. The slider adjusts the standard deviation. If this slider is set to 0, the ants will walk in straight lines. If it is set higher than 100, the ants pretty much act like Brownian motion. Optimal wiggle is about 20. LoS is an abbreviation for Line of Sight. This parameter tells the ant how far to the left and right it should ‘sniff’. Optimal value is about 40. Anything under 15 and over 150 seems to be dysfunctional. CHEM-LOW-THRESHOLD tells the ant to ignore scents that are below this threshold. Setting this number to 0 lets the ants smell infinitely small amounts of pheromone. The optimal value for this seems to be dependent on the food source, amount of ants, evaporation-rate and diffusion-rate. CHEM-UPPER-THRESHOLD tells the ants to ignore the difference in scent for pheromone over this threshold. The optimal value for this seems to be dependent on the food source and the amount of ants. RETURN-WIGGLE is a switch that when on lets ants with food wiggle as much as ants without food. When this is switched off, ants returning with food walk in a straight line towards the nest. THINGS TO NOTICE ---------------- The ant colony generally exploits the food source in order, starting with the food closest to the nest, and finishing with the food most distant from the nest. It is more difficult for the ants to form a stable trail to the more distant food, since the chemical trail has more time to evaporate and diffuse before being reinforced. Once the colony finishes collecting the closest food, the chemical trail to that food naturally disappears, freeing up ants to help collect the other food sources. The more distant food sources require a larger "critical number" of ants to form a stable trail. The consumption of the food is shown in a plot. The line colors in the plot match the colors of the food piles. EXTENDING THE MODEL ------------------- Try different placements for the food sources. What happens if two food sources are equidistant from the nest? When that happens in the real world, ant colonies typically exploit one source then the other (not at the same time). In this project, the ants use a "trick" to find their way back to the nest: they follow the "nest scent." Real ants use a variety of different approaches to find their way back to the nest. Try to implement some alternative strategies. ORIGINAL COPYRIGHT NOTICE ---------------- Copyright 1997 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 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. This model was developed at the MIT Media Lab using CM StarLogo. See Resnick, M. (1994) "Turtles, Termites and Traffic Jams: Explorations in Massively Parallel Microworlds." Cambridge, MA: MIT Press. Adapted to StarLogoT, 1997, as part of the Connected Mathematics Project. This model was converted to NetLogo as part of the projects: PARTICIPATORY SIMULATIONS: NETWORK-BASED DESIGN FOR SYSTEMS LEARNING IN CLASSROOMS and/or INTEGRATED SIMULATION AND MODELING ENVIRONMENT. The project gratefully acknowledges the support of the National Science Foundation (REPP & ROLE programs) -- grant numbers REC #9814682 and REC-0126227. 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