Deer Killed per Predator = WITH LOOKUP ( Deer Density/Initial Deer Density, ((0,0),(1,2),(2,4),(4,6),(5,6) )) ~ Deer/(year*lion) ~ When density is equal to 0, the deer killed are 0. Point (0.0). When the \ Deer Density is equal to the Initial Deer Density each predator hunts 2 \ deer each year. Point (1,2). | Deer Predation Rate= Deer Killed per Predator*Predator Population ~ Deer/year ~ | Initial Deer Density= 200 ~ acre/Deer ~ 1,000,000 acres / 5,000 deer | Growth Rate Factor= 0.2 ~ 1/year ~ Here we work with the net growth rate of the deer population. This means \ birth minus deceases. If every female had a fawn, the rate will be 0.50% \ But there are female too old and too young to have fawns, so we reduce \ this amount to the 0.30%. Now we need to consider the life expectancy, may \ be 10 years. This is - 0.10% due to deceases. So we assume the Net Growth \ Rate Factor equal to 0.2 | Area= 1e+006 ~ acre ~ | Deer Population= INTEG ( +Deer Net Growth Rate-Deer Predation Rate, 5000) ~ Deer ~ Initial amount of deers is 5,000 and remains constant. | Deer Density= Area/Deer Population ~ acre/Deer ~ This is the amount of acres per deer | Deer Net Growth Rate= Deer Population*Growth Rate Factor ~ Deer/year ~ | Predator Population= 500 ~ lion ~ We assume that Net Growth Rate was 1000 deer, so Deer Predation Rate must \ be also 1000 deer. In Table 1 we define that with a density of 0.005 \ deer/acre are killed 2 deer/predator, so we have 1000 (deer) /2 \ (deer/predator) = 500 predators | ******************************************************** .Control ********************************************************~ Simulation Control Paramaters | FINAL TIME = 1950 ~ year ~ The final time for the simulation. | INITIAL TIME = 1900 ~ year ~ The initial time for the simulation. | SAVEPER = 1 ~ year ~ The frequency with which output is stored. | TIME STEP = 1 ~ year ~ The time step for the simulation. | \\\---/// Sketch information - do not modify anything except names V300 Do not put anything below this section - it will be ignored *View 1 $192-192-192,0,Times New Roman|12||0-0-0|0-0-0|0-0-255|-1--1--1|-1--1--1|96,96 10,1,Deer Population,287,97,40,20,3,3,0,0,0,0,0,0 12,2,48,43,92,10,8,0,3,0,0,-1,0,0,0 1,3,5,1,4,0,0,22,0,0,0,-1--1--1,,1|(192,92)| 1,4,5,2,100,0,0,22,0,0,0,-1--1--1,,1|(89,92)| 11,5,48,132,92,6,8,34,3,0,0,1,0,0,0 10,6,Deer Net Growth Rate,132,111,72,11,32,3,0,0,-1,0,0,0 12,7,48,535,94,10,8,0,3,0,0,-1,0,0,0 1,8,10,7,4,0,0,22,0,0,0,-1--1--1,,1|(470,94)| 1,9,10,1,100,0,0,22,0,0,0,-1--1--1,,1|(365,94)| 11,10,48,410,94,6,8,34,3,0,0,1,0,0,0 10,11,Deer Predation Rate,410,113,64,11,32,3,0,0,-1,0,0,0 10,12,Growth Rate Factor,86,228,63,11,0,3,0,0,0,0,0,0 10,13,Deer Density,299,198,42,11,0,3,0,0,0,0,0,0 10,14,Predator Population,535,150,63,11,0,3,0,0,0,0,0,0 10,15,Area,246,256,17,11,0,3,0,0,0,0,0,0 1,16,1,6,1,0,0,0,0,64,0,-1--1--1,,1|(225,154)| 1,17,1,13,1,0,0,0,0,64,0,-1--1--1,,1|(283,149)| 1,18,14,11,1,0,0,0,0,64,0,-1--1--1,,1|(458,118)| 1,19,15,13,1,0,0,0,0,64,0,-1--1--1,,1|(283,238)| 1,20,12,6,1,0,0,0,0,64,0,-1--1--1,,1|(93,144)| 10,21,Deer Killed per Predator,440,195,50,19,8,3,0,0,0,0,0,0 1,22,13,21,1,0,0,0,0,64,0,-1--1--1,,1|(353,235)| 1,23,21,11,1,0,0,0,0,64,0,-1--1--1,,1|(445,149)| 10,24,Initial Deer Density,557,244,35,18,8,3,0,0,0,0,0,0 1,25,24,21,1,0,0,0,0,64,0,-1--1--1,,1|(487,242)| ///---\\\ :L<%^E!@ 1:Current.vdf 9:Current 15:0,0,0,0,0,0 19:100,0 27:2, 4:Time 5:Deer Population 24:1900 25:1950 26:1950