Embed Size (px)
Citation preview
The Population Dynamics of Zindernoodleland-O-Rama
Brought To You By the Shark Team: Amy, Colin, Danielle, Michelle, Tanner
The ZindernoodlesGiven the dynamics of a Zindernoodle population, it was possible to construct a model to determine the behavior of Zindernoodles as a function of time based on the given parameters.As an r-selected species, we assumed that the Zindernoodles would reach their carrying capacity quickly and with catastrophic resultsThrough the use of our model, we determined
that the Zindernoodle Population would collapse between 4995-5010 days
Zindernoodle Growth
0.0
50000.0
100000.0
150000.0
200000.0
250000.0
300000.0
0 2000 4000 6000 8000
Time (Days)
# of
Zin
dern
oodl
es
Zindernoodles
Carrying Capacity
Zindernoodle Population Growth (Inc. Rainfall)
0.0
50000.0
100000.0
150000.0
200000.0
250000.0
300000.0
0 2000 4000 6000 8000 10000 12000
Time(Days)
# of Z
inde
rnoo
dles
Is Rainfall a Factor?By adjusting our model we determined that relatively small rainfall amounts have little or no significant effect on the time period till Zindernoodle CollapseThe calculated time for collapse again was 4995-5010 days
The Blade-Munchers
By adding 100 predators to the Zindernoodle system, our model predicts a catastrophic collapse of both species within 60-75 days.By manipulating the model it was not possible to utilize the Blade-Muncher as some
sort of control agent for the Zindernoodle population.
The Introduction…
-200
0
200
400
600
800
1000
12000 75
120
165
225
ZNBM
Attempts to Maintain Equilibrium
0
200
400
600
800
1000
12000 75
120
165
225
ZNBM
The ZardhogsWith the introduction of Zardhogs into the system, there is no way to maintain an equilibrium of Zindernoodles in the habitat. The number of Zardhogs that produced the longest survival of the system was 4, with a time of 210-225 days. The Zardhogs decimate the entire population of Blade-Munchers within this period, and presumably they follow while the Zindernoodles continue on with there explosive growth.
The Effect of Zardhog Introduction
0
200
400
600
800
1000
1200
0 75 120
165
225
270
315
360
405
450
ZindernoodlesBlade-MunchersZardhog
Hunting Is Not The Answer
By maintaining a constant Zardhog population through hunting, it is not possible to stabilize the system.
time ZN BM ZH0 1000.0 40 3
45 829.0 53 360 752.5 97 375 610.0 185 390 335.5 361 3
105 0.0 713 3120 0.0 0 3135 0.0 0 3150 0.0 0 3165 0.0 0 3180 0.0 0 3195 0.0 0 3210 0.0 0 3225 0.0 0 3
Pop. Dynamics With Hunting
0.0
200.0
400.0
600.0
800.0
1000.0
1200.0
0 50 100 150 200 250 300 350
Time(days)
# of
Indi
vidu
als Zindernoodles
Blade-Muncher
Zardhog
The Intervention of Sunshine Moonbeam…
Following Sunshine Moonbeam’s edict, the Zardhogs die of starvation within 45 days, and the Zindernoodle population again explodes.There is not enough time for the Blade-Muncher population to establish itself before being exterminated by the Zardhogs.
Pop. Dynamics W/ Intervention
0.0
2000.0
4000.0
6000.0
8000.0
10000.0
0 500 1000 1500 2000 2500
Time (Days)
# of
Indi
vidu
als
Zindernoodles
Blade-Munchers
Zardhogs
In Summary
Nature is extremely complicated to model.Given the current system dynamics, developing a model to simulate the predator-prey relationship between species becomes a near impossible task.Achieving any state of equilibrium with the given species was not possible.
