Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Leah Gillespie
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
- 2 years 10 months ago
Clone of Isle Royale: Predator Prey Interactions
Mehran Ali
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 3 years 3 months ago
Clone of Isle Royale: Predator Prey Interactions
Sally Dufek
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Austin Hardesty
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
- 2 years 10 months ago
Clone of Isle Royale: Predator Prey Interactions
Lily Xia
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 1 year 9 months ago
Clone of Isle Royale: Predator Prey Interactions
Maria McMahon
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Isle Royale: Predator Prey Interactions
Robert Antoine
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 3 years 4 months ago
Clone of Isle Royale: Predator Prey Interactions
Andrew E Long
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Isle Royale: Predator Prey Interactions
Alhambra
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 4 years 4 months ago
Clone of Isle Royale: Predator Prey Interactions
Lily Xia
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 1 year 9 months ago
Clone of Isle Royale: Predator Prey Interactions
Kelsey Hasler
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 3 years 4 months ago
Clone of Clone of Isle Royale: Predator Prey Interactions
Bahar Sayed
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 4 years 11 months ago
Clone of Mat375: Isle Royale: Predator Prey Interactions
Maria E Ruwe
It seems that I've made a mess of mine! But it's a mess with a purpose....
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Yellowstone Bison & Wolf Model
Hans Maulwurf
This model illustrates predator prey interactions using real-life data of bison and wolf populations at Yellowstone National Park.
- 4 years 5 months ago
Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"
Maud Vogel
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 5 years 2 months ago
Clone of Isle Royale: Predator/Prey Model for Moose and Wolves
Andrea
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale. It was "cloned" from a model that InsightMaker provides to its users, at
https://insightmaker.com/insight/2068/Isle-Royale-Predator-Prey-Interactions
Thanks Scott Fortmann-Roe.
I've created a Mathematica file that replicates the model, at
http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker.nb
It allows one to experiment with adjusting the initial number of moose and wolves on the island.
I used steepest descent in Mathematica to optimize the parameters, with my objective data being the ratio of wolves to moose. You can try my (admittedly) kludgy code, at
http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker-BestFit.nb
{WolfBirthRateFactorStart,
WolfDeathRateStart,
MooseBirthRateStart,
MooseDeathRateFactorStart,
moStart,
woStart} =
{0.000267409,
0.239821,
0.269755,
0.0113679,
591,
23.};
https://insightmaker.com/insight/2068/Isle-Royale-Predator-Prey-Interactions
Thanks Scott Fortmann-Roe.
I've created a Mathematica file that replicates the model, at
http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker.nb
It allows one to experiment with adjusting the initial number of moose and wolves on the island.
I used steepest descent in Mathematica to optimize the parameters, with my objective data being the ratio of wolves to moose. You can try my (admittedly) kludgy code, at
http://www.nku.edu/~longa/classes/2018spring/mat375/mathematica/Moose-n-Wolf-InsightMaker-BestFit.nb
{WolfBirthRateFactorStart,
WolfDeathRateStart,
MooseBirthRateStart,
MooseDeathRateFactorStart,
moStart,
woStart} =
{0.000267409,
0.239821,
0.269755,
0.0113679,
591,
23.};
- 1 year 11 months ago
Clone of Isle Royale: Predator Prey Interactions
Lily Xia
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 1 year 9 months ago
Clone of Mat375: Isle Royale: Predator Prey Interactions
Patrick Nielsen
It seems that I've made a mess of mine! But it's a mess with a purpose....
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Isle Royale: Predator Prey Interactions
Leah Gillespie
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Isle Royale: Predator Prey Interactions
Kirill Shmarkovsky
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 4 years 2 weeks ago
Clone of Isle Royale: Predator Prey Interactions
Aeras Alum
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 2 weeks ago
Clone of Isle Royale: Predator Prey Interactions
Jonilee Carroll
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 3 years 4 months ago
Clone of Isle Royale: Predator Prey Interactions
Travis Rhoades
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
Experiment with adjusting the initial number of moose and wolves on the island.
Experiment with adjusting the initial number of moose and wolves on the island.
- 2 years 11 months ago
Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Patrick Nielsen
This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
We incorporate logistic growth into the moose dynamics, and we replace the death flow of the moose with a kill rate modeled from the kill rate data found on the Isle Royale website.
I start with these parameters:
Wolf Death Rate = 0.15
Wolf Birth Rate = 0.0187963
Moose Birth Rate = 0.4
Carrying Capacity = 2000
Initial Moose: 563
Initial Wolves: 20
I used RK-4 with step-size 0.1, from 1959 for 60 years.
The moose birth flow is logistic, MBR*M*(1-M/K)
Moose death flow is Kill Rate (in Moose/Year)
Wolf birth flow is WBR*Kill Rate (in Wolves/Year)
Wolf death flow is WDR*W
- 2 years 10 months ago