The Blue TeamGroup Project 2

Allie, Katie, Amanda, Beth, Karmen, and Robby

Zinder-what?

Assumptions…•Zindernoodles grow instantaneously on the day nutrients become available

•Zindernoodles always live to their full potential (1000 days)

•Zindernoodles die and lead to new growth on the same day

•Zindernoodles are evenly distributed across the landscape

•Blade-munchers never die

•Blade-munchers begin to reproduce on day 1

•On the day of maturity reproduction and consumption occur- not before

•Zardhogs mate for life. (If there are 3 Zardhogs there will only be 2 offspring)

•Zardhogs die the first day no food is available to consume

•Amount of precipitation is equal every day

Zindernoodle

Question 1

Initial conditions:

1000 Zindernoodles over 1000 acres of land, annual average rainfall equal to 10 inches.

When will the demise of the Zindernoodles

occur?

Death occurs when 1,000,000 plants are present in 1000 acres

Ultimate demise occurs on day 5000.

Day 5000: 1,087,383 plants y =1000*45 + 44(4000/5) + 43(3000/5) + 42(2000/5) +

4(1000/5) + (5000/5)

Day 4999: 319,383 plants

Note: 500 Zindernoodle plants represented by one picture for

following graphic slides

Day 1

1000 plants

Day 1500

4500 plants

Day 250019300 plants

Day 350077900 plants

Day 4500

312500 plants

Day 5000

Zero plants…they exceeded their carrying capacity

General Equation

Question 2: Wet Year

What happens when the annual average rainfall is equal to 20 inches?

Zindernoodles still meet their demise on day 5000

y =1000*45 + 44(4000/.884) + 43(3000/.884) + 42(2000/.884) + 4(1000/.884) + (5000/.884)

Day 4999: 614,501 plants.

Question 3:Is Precipitation Important?

Not particularly. It allows the species to increase its population more quickly, but it still will not meet its carrying capacity until

day 5000.

Blade-munchers

Assumptions…•Zindernoodles grow instantaneously on the day nutrients become available

•Zindernoodles always live to their full potential (1000 days)

•Zindernoodles die and lead to new growth on the same day

•Zindernoodles are evenly distributed across the landscape

•Blade-munchers never die

•Blade-munchers begin to reproduce on day 1

•On the day of maturity reproduction and consumption occur- not before

•Zardhogs mate for life. (If there are 3 Zardhogs there will only be 2 offspring)

•Zardhogs die the first day no food is available to consume

•Amount of precipitation is equal every day

Blade-muncher Numbers

day p g1 g2 g3 g4 g5 g1b g2b g1c1 100

45 100 10060 100 100 10075 100 100 100 10090 100 100 100 100 100 100

105 100 100 100 100 100 100 100 100 100

Number of Blade-munchers

munchers alive per day

y = 81.224e0.0228x

0

1000

2000

3000

4000

5000

6000

7000

8000

0 50 100 150 200 250

day

# m

un

ch

ers

Series1

Expon. (Series1)

Zindernoodles Eaten

Potential Zindernoodles Eaten. (1 Blade-muncher consumes

1 Zindernoodle every 10 days)

zindernoodles eaten y = 135.67e0.0305x

0500

100015002000250030003500

30 50 70 90 110

day

pla

nts

ea

ten

Series1

Expon. (Series1)

Question 4With 100 Blade-munchers present, how

long will the Zindernoodles survive?

This would be catastrophic! The zindernoodles would meet their demise by day 70.

day p1 eat g1 eat g2 g3 g4 g1b total eaten45 400 100 50050 500 100 60055 500 200 70060 600 200 100 90065 600 300 100 100070 700 300 200 120075 700 400 200 100 140080 800 400 300 100 160085 800 500 300 200 180090 900 500 400 200 100 100 220095 900 600 400 300 100 100 2400

100 1000 600 500 300 200 200 2800105 1000 700 500 400 200 200 100 3100

100 Blade-munchers 1000 Zindernoodles

Day 1

100 BM= 1 picture, 500ZN= 1 picture

Day 60300 Blade-munchers 100 Zindernoodles

Day 100500 Blade-munchers 0 Zindernoodles

Question 5How many blade-munchers should we introduce

to control the zindernoodle population?

We should introduce just one blade-muncher because any more would result in the rapid demise of zindernoodles.

Blade-munchers/Zardhogs/Zindernoodles

The introduction of the Zardhog….

Zindernoodles & Blade-munchersday p1 eat g1 eat g2 g3 g4 g1b g1c total eaten

45 160 40 20050 200 40 24055 200 80 28060 240 80 40 36065 240 120 40 40070 280 120 80 48075 280 160 80 40 56080 320 160 120 40 64085 320 200 120 80 72090 360 200 160 80 40 40 88095 360 240 160 120 40 40 960

100 400 240 200 120 80 80 1120105 400 280 200 160 80 80 40 1240

Number of zindernoodles eaten

when start with 40 munchers.

start with 40 munchersy = 54.27e0.0305x

0200400600800

100012001400

40 50 60 70 80 90 100 110

day

pla

nts

ea

ten

Question 6How many Zardhogs must we introduce to control the Zindernoodles when just 40 Blade-munchers are present?

We should introduce 4 Zardhogs

Any more Zardhogs and our Blade-munchers would go extinct before they could reproduce. Fewer Zardhogs and the Blade-muncher population would be too large & they would kill off the Zindernoodles

Zardhogs

This also means that 4 Zardhogs need to be hunted each year to keep the population stable

(they reproduce 2 times a year)

National Treasure?

With 1000 Zindernoodles on 1000 acres, 10 blade-munchers, and 2 Zardhogs what will happen to the Zardhogs?

5 BM= 1 picture 500ZN= 1 picture 1ZH= 1 picture

Question 7

The Zardhogs will starve by day 30 because they will have consumed all of the Blade-munchers already and will no longer have food to sustain their population. There will not be any more mature Blade-munchers until day 45.

Evolution of the System

start with: day 5 day 10 day 15 day 20 day 25 day 302 Zardhogs 2 Zardhogs 2 Zardhogs 2 Zardhogs 2 Zardhogs 2 Zardhogs 0 Zardhogs10 Blade-munchers 8 BM 6 BM 4 BM 2 BM 0 BM 0 BM

The Zindernoodles will flourish for a while but without the predators present they will soon exceed their carrying capacity

The End

Until next time…