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
Clone of Isle Royale: Predator Prey Interactions
Evgeniy
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.
- 6 years 6 months ago
Clone of Isle Royale: Predator/Prey Model for Moose and Wolves
Connor Edwards
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.};
- 2 years 10 months ago
Clone of Isle Royale: Predator Prey Interactions
Denis
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.
- 6 years 6 months ago
Clone of Isle Royale: Predator Prey Interactions
Becky Haney
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.
- 6 years 5 months ago
Clone of Monday Clone of Isle Royale: Predator Prey Interactions
Allison Zembrodt
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 10 months ago
Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"
Christine
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.
- 6 years 2 months ago
Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"
Bruessow
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.
- 6 years 2 months ago
Clone of Clone of Isle Royale: Predator Prey Interactions
Brian J Elliott
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 10 months ago
Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Jacob Koors
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 (3) Copy of "Isle Royale: Predator Prey Interactions"
Fritzi
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.
- 6 years 2 months ago
Clone of Isle Royale: Predator Prey Interactions
Jesus Escalante
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.
- 6 years 6 months ago
Clone of Isle Royale: Predator Prey Interactions
Paul
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.
- 6 years 2 months ago
Coronavirus Cases
Attar Husna Fathiya
"Males" and "Females" populations of rabbits have different initial population sizes and random birth rates. Insight Maker keeps track of everything for you and automatically applies the correct vectorization.
- 1 month 4 weeks ago
Clone of Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Lizzy Compton
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 Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Matthew Gall
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 (3) Copy of "Isle Royale: Predator Prey Interactions"
Klara Bohr
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.
- 6 years 2 months ago
Clone of Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"
Roger Brown
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 Clone of Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Lizzy Compton
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 Final Midterm Student version of A More Realistic Model of Isle Royale: Predator Prey Interactions
Donna Odhiambo
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 Clone of Isle Royale: Predator Prey Interactions
Devon Richards
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 10 months ago
Clone of (3) Copy of "Isle Royale: Predator Prey Interactions"
Laura Brodersen
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.
- 6 years 2 months ago
Clone of Clone of Isle Royale: Predator Prey Interactions
Runy Calmera
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 4 months ago
Clone of Clone of Isle Royale: Predator Prey Interactions
Evgeniy
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.
- 6 years 6 months ago