globals [ bugs-stride ;; how much a bug moves in each simulation step bug-size ;; the size of the shape for a bug bug-reproduce-age ;; age at which bug reproduces bugs-born ;; number of bugs born bugs-died ;; number of bugs that died max-bugs-age min-reproduce-energy-bugs ;; how much energy, at minimum, bug needs to reproduce max-bugs-offspring ;; max offspring a bug can have max-plant-energy ;; the maximum amount of energy a plant in a patch can accumulate sprout-delay-time ;; number of ticks before grass starts regrowing grass-level ;; a measure of the amount of grass currently in the ecosystem grass-growth-rate ;; the amount of energy units a plant gains every tick from regrowth bugs-color grass-color dirt-color ] breed [ bugs bug ] breed [ disease-markers a-disease-marker] ;; visual cue, red "X" that bug has a disease and will die breed [ embers ember] ;; visual cue that a grass patch is on fire turtles-own [ energy current-age max-age female? #-offspring] patches-own [ fertile? plant-energy countdown] ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; setup procedures ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; to setup clear-all set bugs-born 0 set bugs-died 0 set bug-size 1.2 set bugs-stride 0.3 set bug-reproduce-age 20 set min-reproduce-energy-bugs 10 set max-bugs-offspring 2 set max-bugs-age 100 set grass-level 0 set sprout-delay-time 25 set grass-growth-rate 10 set max-plant-energy 100 set bugs-color (violet ) set grass-color (green) set dirt-color (white) set-default-shape bugs "bug" set-default-shape embers "fire" reset-ticks add-starting-grass add-bugs reset-ticks end to add-starting-grass let number-patches-with-grass (floor (amount-of-grassland * (count patches) / 100)) ask patches [ set fertile? false set plant-energy 0 ] ask n-of number-patches-with-grass patches [ set fertile? true set plant-energy max-plant-energy / 2 ] ask patches [color-grass] end to add-bugs create-bugs initial-number-bugs ;; create the bugs, then initialize their variables [ set color bugs-color set size bug-size set energy 20 + random 20 - random 20 ;; randomize starting energies set current-age 0 + random max-bugs-age ;; start out bugs at different ages set max-age max-bugs-age set #-offspring 0 setxy random world-width random world-height ] end ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; runtime procedures ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; to go if ticks >= 1000 and constant-simulation-length? [stop] ask bugs [ bugs-live reproduce-bugs ] ask patches [ set countdown random sprout-delay-time grow-grass ] ;; only the fertile patches can grow grass fade-embers age-disease-markers tick end to remove-a-%-of-bugs ;; procedure for removing a percentage of bugs (when button is clicked) let number-bugs count bugs ask n-of floor (number-bugs * bugs-to-remove / 100) bugs [ hatch 1 [ set current-age 0 set breed disease-markers set size 1.5 set color red set shape "x" ] set bugs-died (bugs-died + 1) die ] end to start-fire let current-grass-patches patches with [fertile?] let current-burn-patches n-of floor ( (count current-grass-patches) * grass-to-burn-down / 100) current-grass-patches ask current-burn-patches [ set countdown sprout-delay-time set plant-energy 0 color-grass create-ember ] end to create-ember ;; patch procedure sprout 1 [ set breed embers set current-age (round countdown / 4) set color [255 255 0 255] set size 1 ] end to age-disease-markers ask disease-markers [ set current-age (current-age + 1) set size (1.5 - (1.5 * current-age / 20)) if current-age > 25 or (ticks = 999 and constant-simulation-length?) [die] ] end to fade-embers let ember-color [] let transparency 0 ask embers [ set shape "fire" set current-age (current-age - 1) set transparency round floor current-age * 255 / sprout-delay-time ;; show transparency set ember-color lput transparency [255 155 0] ;; show ember-color if current-age <= 0 [die] set color ember-color ] end to bugs-live move-bugs set energy (energy - 1) ;; bugs lose energy as they move set current-age (current-age + 1) bugs-eat-grass death end to move-bugs rt random 50 - random 50 fd bugs-stride end to bugs-eat-grass ;; bugs procedure ;; if there is enough grass to eat at this patch, the bugs eat it ;; and then gain energy from it. if plant-energy > amount-of-food-bugs-eat [ ;; plants lose ten times as much energy as the bugs gains (trophic level assumption) set plant-energy (plant-energy - (amount-of-food-bugs-eat * 10)) set energy energy + amount-of-food-bugs-eat ;; bugs gain energy by eating ] ;; if plant-energy is negative, make it positive if plant-energy <= amount-of-food-bugs-eat [set countdown sprout-delay-time ] end to reproduce-bugs ;; bugs procedure let number-new-offspring (random (max-bugs-offspring + 1)) ;; set number of potential offpsring from 1 to (max-bugs-offspring) if (energy > ((number-new-offspring + 1) * min-reproduce-energy-bugs) and current-age > bug-reproduce-age) [ set energy (energy - (number-new-offspring * min-reproduce-energy-bugs)) ;;lose energy when reproducing --- given to children set #-offspring #-offspring + number-new-offspring set bugs-born bugs-born + number-new-offspring hatch number-new-offspring [ set size bug-size set color bugs-color set energy min-reproduce-energy-bugs ;; split remaining half of energy amongst litter set current-age 0 set #-offspring 0 rt random 360 fd bugs-stride ] ;; hatch an offspring set it heading off in a a random direction and move it forward a step ] end to death ;; die when energy dips below zero (starvation), or get too old if (current-age > max-age) or (energy < 0) [ set bugs-died (bugs-died + 1) die ] end to grow-grass ;; patch procedure set countdown (countdown - 1) ;; fertile patches gain 1 energy unit per turn, up to a maximum max-plant-energy threshold if fertile? and countdown <= 0 [set plant-energy (plant-energy + grass-growth-rate) if plant-energy > max-plant-energy [set plant-energy max-plant-energy] ] if not fertile? [set plant-energy 0] if plant-energy < 0 [set plant-energy 0 set countdown sprout-delay-time] color-grass end to color-grass ifelse fertile? [ ifelse plant-energy > 0 ;; scale color of patch from whitish green for low energy (less foliage) to green - high energy (lots of foliage) [set pcolor (scale-color green plant-energy (max-plant-energy * 2) 0)] [set pcolor dirt-color] ] [set pcolor dirt-color] end ; Copyright 2011 Uri Wilensky. ; See Info tab for full copyright and license. @#$#@#$#@ GRAPHICS-WINDOW 405 13 932 561 23 23 11.0 1 10 1 1 1 0 1 1 1 -23 23 -23 23 1 1 1 ticks 30.0 BUTTON 23 17 113 50 setup setup NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 116 17 208 50 go/pause go T 1 T OBSERVER NIL NIL NIL NIL 1 PLOT 5 207 399 414 Population Size vs. Time time population size 0.0 1000.0 0.0 1200.0 true true "" "set grass-level ( sum [plant-energy] of patches / (max-plant-energy ))" PENS "bugs" 1.0 0 -8630108 true "" "plot count bugs" "grass" 1.0 0 -10899396 true "" "plot grass-level" MONITOR 287 416 361 461 bugs count bugs 3 1 11 SLIDER 5 135 231 168 initial-number-bugs initial-number-bugs 1 300 30 1 1 NIL HORIZONTAL SLIDER 6 98 231 131 amount-of-grassland amount-of-grassland 0 100 100 1 1 % HORIZONTAL SLIDER 5 170 229 203 amount-of-food-bugs-eat amount-of-food-bugs-eat 0 8 4 .1 1 NIL HORIZONTAL SWITCH 6 62 230 95 constant-simulation-length? constant-simulation-length? 0 1 -1000 BUTTON 239 55 398 88 burn down the grass start-fire NIL 1 T OBSERVER NIL NIL NIL NIL 1 BUTTON 238 143 397 176 remove bugs remove-a-%-of-bugs NIL 1 T OBSERVER NIL NIL NIL NIL 1 SLIDER 236 18 398 51 grass-to-burn-down grass-to-burn-down 1 100 75 1 1 % HORIZONTAL SLIDER 238 109 396 142 bugs-to-remove bugs-to-remove 1 100 50 1 1 % HORIZONTAL PLOT 5 412 246 558 Distribution of Bug Values Selected Bug Value # bugs 0.0 100.0 0.0 10.0 true false "" "set-histogram-num-bars 10\nif graph-values-for = \"energy of bugs\" [ \n set-plot-x-range 0 100\n histogram [ energy ] of bugs ]\n if graph-values-for = \"age of bugs\" [ \n set-plot-x-range 0 100\n histogram [ current-age ] of bugs ]\n if graph-values-for = \"# of offspring of bugs\" [ \n set-plot-x-range 0 10\n histogram [ #-offspring ] of bugs ]" PENS "default" 1.0 1 -16777216 true "" "" CHOOSER 247 512 401 557 graph-values-for graph-values-for "energy of bugs" "age of bugs" "# of offspring of bugs" 0 MONITOR 247 464 321 509 bugs died bugs-died 17 1 11 MONITOR 326 463 404 508 bugs born bugs-born 17 1 11 @#$#@#$#@ ## WHAT IS IT? This model explores the stability of consumer producer ecosystems and how temporary disturbances and more sustained environmental changes affect the stability of the population and the ecosystem. ## HOW IT WORKS Bugs wander randomly around the landscape. Each step each bug loses one unit of energy and they must consume a food source (grass) to replenish their energy. When they run out of energy, they die. To allow the population to continue, each bug must have enough energy to have an offspring. When that threshold is reached, the offspring and parent split the energy amongst themselves. Grass grows at a fixed rate, and when it is eaten, a fixed amount of grass energy is deducted from the patch (square) where the grass was eaten. Different disturbances can be tested in this system, including temporary removal of grass (simulating a fire) and removal of some of the bugs (simulating disease). ## HOW TO USE IT 1. Adjust the slider parameters (see below), or use the default settings. 2. Press the SETUP button. 4. Press the GO button to begin the model run. 5. View the POPULATION SIZE VS. TIME plot to watch the bug and grass populations fluctuate over time 6. View the DISTRIBUTION OF BUG VALUES plot to watch how variation in energy levels, ages, or reproduction within in population changes over time. 7. View the BUGS DIED and BUGS BORN monitors to keep track of the total number of new bugs that have been born since the model run started and the number of bugs that have died. Initial Settings: CONSTANT-SIMULATION-LENGTH: When turned "on" the model run will automatically stop at 1000 ticks. When turned "off" the model run will continue without automatically stopping. AMOUNT-OF-GRASSLAND: The percentage of patches in the world & view that produce grass. INITIAL-NUMBER-BUGS: The initial size of bug population. AMOUNT-OF-FOOD-BUGS-EAT: Sets the amount of energy that a bugs gains from eating grass at a patch as well as the amount of energy deducted from that grass. GRASS-TO-BURN-DOWN: Sets the % of grassland patches that will have all their grass immediately removed when the BURN THE DOWN GRASS button is pressed. These patches will grow back grass with time. BUGS-TO-REMOVE: Sets the % of existing bug population that will be removed when the REMOVE BUGS button is pressed. GRAPH-VALUES-FOR: Sets the x-axis values of the bugs that are graphed in the DISTRIBUTION OF BUG VALUES histogram. Options include "energy of the bugs", "age of the bugs", and "# of offspring of bugs". ## THINGS TO NOTICE Watch as the grass and bug populations fluctuate. How are increases and decreases in the sizes of each population related? Pressing REMOVE BUGS or BURN THE GRASS DOWN affects the size of the populations in the short term, but not in the long term. What causes this behavior? Different AMOUNT-OF-GRASSLAND values affect the carrying capacity (average values) for both the bugs and grass. Why? ## THINGS TO TRY Try adjusting the parameters under various settings. How sensitive is the stability of the model to the particular parameters. Does the parameter setting affect the amount of fluctuations, the average values of bugs and grass, or does it lead to the collapse of the ecosystem (death of all the bugs)? ## EXTENDING THE MODEL In this model, all the bugs are identical to each other and follow the same rules. Try modeling variation in the bug population that would make it easier for some bugs to get food. Try extending the model by introducing a predator that eats the bugs, or a competing population that also eats grass. ## NETLOGO FEATURES The visualization of fire embers uses the transparency value for the color to gradually fade out the color of the fire and let the background show through, before the embers disappear completely. ## RELATED MODELS Wolf Sheep Predation and Rabbits Weeds Grass are other examples of interacting predator/prey populations with different rules. Refer to Bug Hunt Predators for extensions of this model that include predators (birds that eat bugs) and an invasive species (another population of consumers). ## CREDITS AND REFERENCES This model is a part of the BEAGLE curriculum (http://ccl.northwestern.edu/simevolution/beagle.shtml) ## HOW TO CITE If you mention this model in a publication, we ask that you include these citations for the model itself and for the NetLogo software: * Novak, M. and Wilensky, U. (2011). NetLogo Bug Hunt Consumers model. http://ccl.northwestern.edu/netlogo/models/BugHuntConsumers. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. * Wilensky, U. (1999). NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL. ## COPYRIGHT AND LICENSE Copyright 2011 Uri Wilensky. ![CC BY-NC-SA 3.0](http://i.creativecommons.org/l/by-nc-sa/3.0/88x31.png) This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. Commercial licenses are also available. To inquire about commercial licenses, please contact Uri Wilensky at uri@northwestern.edu. @#$#@#$#@ 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 Line -7500403 true 150 100 80 30 Line -7500403 true 150 100 220 30 butterfly true 0 Polygon -7500403 true true 150 165 209 199 225 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