Fraction fish harvested p year( [(0,0)-(30,0.1)],(0,0),(5,0),(10,0),(15,0),(20,0),(25,0),(30,0)) ~ 1/year ~ | Food fish harvest= Food fish*Fraction fish harvested p year(Time) ~ fish/year ~ | Ratio of food fish to predators= Average food fish pop/"Average shark & skate pop" ~ ~ | Sharks and skates= INTEG ( "Shark & skate net births" - Shark and skate harvest, 20) ~ fish ~ | Average food fish pop= INTEG ( chng in avg food fish pop, Food fish) ~ fish ~ | "Average shark & skate pop"= INTEG ( "chng in avg shark & skate pop", 25) ~ fish ~ | chng in avg food fish pop= (Food fish - Average food fish pop)/time to avg populations ~ fish/year ~ | "chng in avg shark & skate pop"= (Sharks and skates - "Average shark & skate pop")/time to avg populations ~ fish/year ~ | time to avg populations= 12 ~ year ~ | Food fish= INTEG ( Food fish net births - Food fish harvest, 1000) ~ fish ~ | Shark and skate harvest= Sharks and skates*Fraction fish harvested p year(Time) ~ fish/year ~ | "Shark & skate net births"= "shark & skate nbf"*Sharks and skates ~ fish/year ~ | Food fish net births= food fish nbf*Food fish ~ fish/year ~ | "shark & skate nbf" = "shark & skate nbf LOOKUP"(Food fish) ~ fish/fish/year ~ | "shark & skate nbf LOOKUP"( (0, -0.3), (200, -0.24), (400, -0.18), (600, -0.12), (800\ , -0.06), (1000, 0), (1200 , 0.06), (1400, 0.12), (1600, 0.18), (1800, 0.24), (2000, 0.3) ) ~ fish/fish/year ~ | food fish nbf = food fish nbf LOOKUP(Sharks and skates) ~ fish/fish/year ~ | food fish nbf LOOKUP( (0, 2), (5, 1.54), (10, 1.16), (15, 0.76), (20, 0.38), (25, 0),\ (30, -0.42), (35, -0.82 ), (40, -1.22), (45, -1.64), (50, -2) ) ~ fish/fish/year ~ | INITIAL TIME = 0 ~ year ~ | FINAL TIME = 30 ~ year ~ | TIME STEP = 0.25 ~ year ~ | SAVEPER = 0.25 ~ year ~ | \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *Predator & prey interactions $192-192-192,0,Comic Sans MS|18||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|72,72 10,1,Food fish,402,103,47,26,3,3,0,32,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 10,2,food fish nbf,237,238,57,14,8,3,2,33,0,0,0,0,128-128-128,0-0-0,Comic Sans MS|14||0-0-0 10,3,Sharks and skates,321,324,50,28,3,3,0,32,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 10,4,food fish nbf LOOKUP,130,168,58,25,8,3,3,1,0,0,0,0,128-128-128,0-0-0,|14||0-0-0 10,5,"shark & skate nbf",479,226,90,17,8,3,2,33,0,0,0,0,128-128-128,0-0-0,Comic Sans MS|14||0-0-0 10,6,"shark & skate nbf LOOKUP",636,301,79,25,8,3,3,1,0,0,0,0,128-128-128,0-0-0,|14||0-0-0 1,7,3,2,1,2,0,0,1,0,0,0-0-255,|18||0-0-0,1|(255,294)| 1,8,4,2,0,3,0,0,1,0,0,0-0-255,|18||0-0-0,1|(185,204)| 1,9,6,5,0,3,0,0,1,0,0,0-0-255,|18||0-0-0,1|(555,262)| 1,10,1,5,1,2,0,0,1,0,0,0-0-255,|18||0-0-0,1|(448,142)| 12,11,48,209,106,8,8,0,3,0,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,12,14,1,4,0,0,22,0,0,0,-1--1--1,,1|(325,105)| 1,13,14,11,100,0,0,22,0,0,0,-1--1--1,,1|(250,105)| 11,14,48,289,105,6,8,34,3,0,0,1,0,0,0 10,15,Food fish net births,289,138,58,25,40,3,0,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,16,2,15,1,2,0,0,1,64,0,0-0-255,|18||0-0-0,1|(244,188)| 1,17,1,15,1,1,0,0,1,64,0,0-0-255,|18||0-0-0,1|(364,167)| 12,18,48,500,326,8,8,0,3,0,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,19,21,3,4,0,0,22,0,0,0,-1--1--1,,1|(408,328)| 1,20,21,18,100,0,0,22,0,0,0,-1--1--1,,1|(475,328)| 11,21,48,452,328,6,8,34,3,0,0,1,0,0,0 10,22,"Shark & skate net births",452,364,72,28,40,3,0,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,23,5,21,1,2,0,0,1,64,0,0-0-255,|18||0-0-0,1|(477,286)| 1,24,3,21,1,1,0,0,1,64,0,0-0-255,|18||0-0-0,1|(396,278)| 12,25,48,586,104,8,8,0,3,4,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,26,28,25,4,4,0,22,0,0,0,-1--1--1,,1|(551,104)| 1,27,28,1,100,4,0,22,0,0,0,-1--1--1,,1|(481,104)| 11,28,48,519,104,6,8,34,3,4,0,1,0,0,0 10,29,Food fish harvest,519,137,42,25,40,3,4,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 12,30,48,122,325,8,8,0,3,4,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,31,33,30,4,4,0,22,0,0,0,-1--1--1,,1|(160,325)| 1,32,33,3,100,4,0,22,0,0,0,-1--1--1,,1|(236,325)| 11,33,48,196,325,6,8,34,3,4,0,1,0,0,0 10,34,Shark and skate harvest,196,358,71,25,40,3,4,32,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 1,35,1,28,1,4,0,0,1,64,0,0-0-255,|18||0-0-0,1|(453,58)| 1,36,3,34,1,4,0,0,1,64,0,0-0-255,|18||0-0-0,1|(290,396)| 10,37,Fraction fish harvested p year,666,174,75,25,8,3,4,32,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|14||0-0-0 10,38,Fraction fish harvested p year,177,440,79,25,8,2,4,33,-1,0,0,0,128-128-128,0-0-0,Comic Sans MS|14||128-128-128 1,39,37,29,0,4,0,0,1,64,0,0-0-255,|18||0-0-0,1|(582,153)| 1,40,38,34,0,4,0,0,1,64,0,0-0-255,|18||0-0-0,1|(184,405)| 10,41,Time,672,106,30,14,8,2,8,3,-1,0,0,0,128-128-128,0-0-0,|18||128-128-128 1,42,41,29,0,8,0,0,0,64,0,-1--1--1,,1|(608,118)| 10,43,Time,77,389,40,20,8,2,8,3,-1,0,0,0,128-128-128,0-0-0,|18||128-128-128 1,44,43,34,0,8,0,0,0,0,0,-1--1--1,,1|(114,379)| \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *Average populations $192-192-192,0,Times New Roman|12||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|72,72 10,1,Food fish,183,137,48,14,8,2,0,41,-1,0,0,0,128-128-128,0-0-0,Comic Sans MS|18||128-128-128 10,2,Sharks and skates,170,371,53,25,8,2,0,41,-1,0,0,0,128-128-128,0-0-0,Comic Sans MS|18||128-128-128 10,3,Average food fish pop,480,135,58,27,3,3,0,40,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 10,4,"Average shark & skate pop",485,351,57,31,3,3,0,40,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 12,5,48,288,133,8,8,0,3,0,40,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 1,6,8,3,4,0,0,22,0,0,0,-1--1--1,,1|(385,133)| 1,7,8,5,100,0,0,22,0,0,0,-1--1--1,,1|(316,133)| 11,8,48,342,133,6,8,34,3,0,0,1,0,0,0 10,9,chng in avg food fish pop,342,166,70,25,40,3,0,40,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 12,10,48,282,349,8,8,0,3,0,40,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 1,11,13,4,4,0,0,22,0,0,0,-1--1--1,,1|(387,349)| 1,12,13,10,100,0,0,22,0,0,0,-1--1--1,,1|(312,349)| 11,13,48,341,349,6,8,34,3,0,0,1,0,0,0 10,14,"chng in avg shark & skate pop",341,387,78,30,40,3,0,40,-1,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 10,15,time to avg populations,286,253,97,14,0,3,0,40,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 1,16,15,9,0,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(306,220)| 1,17,15,13,0,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(312,298)| 1,18,3,8,1,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(403,75)| 1,19,4,13,1,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(412,289)| 1,20,2,14,1,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(254,395)| 1,21,1,9,1,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(264,165)| 10,22,Food fish,503,208,48,14,8,2,8,43,-1,0,0,0,128-128-128,0-0-0,Comic Sans MS|18||128-128-128 1,23,22,3,0,8,0,0,0,0,1,-1--1--1,,1|(495,184)| 10,24,Sharks and skates,571,446,53,25,8,2,8,43,-1,0,0,0,128-128-128,0-0-0,Comic Sans MS|18||128-128-128 10,25,Ratio of food fish to predators,595,233,89,25,8,3,0,40,0,0,0,0,0-0-0,0-0-0,Comic Sans MS|18||0-0-0 1,26,3,25,0,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(532,179)| 1,27,4,25,0,0,0,0,1,64,0,0-0-255,|12||0-0-0,1|(537,294)| ///---\\\ :GRAPH STATE_SPACE :TITLE STATE_SPACE :X-AXIS Sharks and skates :X-DIV 4 :Y-DIV 4 :SCALE :VAR Food fish :GRAPH DYNAMICS :TITLE DYNAMICS :WIP :X-DIV 4 :MAX-POINTS 2000 :SCALE :VAR Sharks and skates :Y-MIN 0 :LINE-WIDTH 1 :SCALE :VAR Food fish :Y-MIN 0 :LINE-WIDTH 2 :GRAPH :TITLE :X-DIV 4 :SCALE :VAR Food fish :LINE-WIDTH 2 :VAR Average food fish pop :LINE-WIDTH 3 :GRAPH AVG_SHARK_&_SKATE_POPULA :TITLE Avg Shark & Skate Populations :X-DIV 4 :SCALE :VAR Sharks and skates :LINE-WIDTH 2 :VAR "Average shark & skate pop" :LINE-WIDTH 3 :L<%^E!@ 1:volterra.vdf 1:lotka.vdf 9:volterra 15:0,0,0,1,0,0 19:100,1 27:0, 4:Time 5:Ratio of food fish to predators 24:0 25:30 26:30