#### Isle Royale: Predator/Prey Model for Moose and Wolves

##### Andrew E Long

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 4 months ago

#### Yellowstone Bison & Wolf Model

##### Paola Villegas

This model illustrates predator prey interactions using real-life data of bison and wolf populations at Yellowstone National Park.

- 5 years 8 months ago

#### Sharks, Turtles, and Sea Grasses Population Dynamics

##### Tesslyn Knapp

This insight models the intertwining relationships of sea grass, Chelonia mydas (green sea turtles), and Galeocerdo cuvier (tiger sharks). Each of these populations are connected to one another through a food chain interaction, making all of the populations dependent upon each other.

- 1 year 3 months ago

#### Logistic growth from Critical Transitions

##### Geoff McDonnell ★

Cloned from Ash Moran's Insight 1256 Systems and Models (Hartmut Bossel) Figure 2.16. Notation matches the Appendix of Marten Scheffer's 2009 Book Critical Transitions in Nature and Society p329

- 4 years 5 months ago

#### Goat Management

##### Johannes Foufopoulos

This model describes how costs, income and ecosystem services change with stocking rate.

- 7 months 1 week ago

#### YellowstoneEcoClassModel - ISD OWL

##### Kevin Collins

A collaborative class project with each participant creating an animal/plant sub-model to explore the greater population/community dynamics of the Yellowstone ecosystem. Changes to original: removal of non-connected variables to simplify view for middle school students.

- 2 years 9 months ago

#### Royal Island- Resilience

##### Jeff Schulte

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

- 6 years 4 months ago

#### Predator Prey Interactions

##### Katherine Scalise

This model illustrates predator prey interactions using real-life data of fox and rabbit populations.

- 3 years 11 months ago

#### Vegetation interspecific competition

##### Andrew Hofmeister

Common Timothy is an invasive grass species. Alpine Timothy is the native grass species in Yellowstone. I calculated the carrying capacity of the grasses by converting acres, square feet, pounds per square feet and seeds per pound. There is a higher birth rate and lower death rate for the common timothy because the grass is taking over the area due to a lack of wildlife predators.

- 4 years 8 months ago

#### Forcing functions (tides and light)

##### Joao G. Ferreira ★

This very simple model generates a tidal curve and a light climate at the sea surface to illustrate the non-linearity of the diel and tidal cycles. This has repercussions on benthic primary (and therefore also secondary) production.

- 4 years 9 months ago

#### Fish Population and Fisheries

##### Leia Bradley

A simulation illustrating how the size of a fish population affects the number of fish caught and vice versa.

- 7 years 8 months ago

#### L&I4: Predator Prooi

##### IJburgBio

A simulation illustrating simple predator prey dynamics. You have two populations.

- 7 years 8 months ago

#### Final Midterm Student version of A More Realistic Model 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.

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 3 months ago

#### wolf ~ logistic growth

##### K Phu

- 5 years 2 months ago

#### dynamic population model

##### K Phu

- 5 years 2 months ago

#### Metapoblación by Alarcón L. & et al.

##### Luciano Alarcón

hola

- 1 year 2 months ago

#### (3) Copy of "Isle Royale: Predator Prey Interactions"

##### Jannik

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 1 week ago

#### Interações presa-predador (Clone Isle Royale: Predator Prey Interactions Scott Fortmann-Roe)

##### Wander Soares

Este modelo ilustra interações presa-predador usando dados reais de lobo e populações alce na ilha Royale.
Experiência com o ajuste da quantidade inicial de alces e lobos na ilha.

- 4 years 8 months ago

#### Clone of Royal Island- Resilience

##### franzol

This model illustrates predator prey interactions using real-life data of wolf and moose populations on the Isle Royale.

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

Experiment with adjusting the moose birth-rate to simulate Over-shoot followed by environmental recovery

- 4 years 4 months ago

#### Joel's Env. Science insight

##### Joel B Shepherd

This is my first Insight from the BIDE model of environmental science for BIO 190

Environment Ecology Environmental Science First Insight Stock Flow Model

- 7 years 8 months ago

#### Fern Population Model

##### A Man Has No Name

- 3 years 3 months ago

#### wolf ~ delayed logistic growth

##### K Phu

- 5 years 2 months ago

#### WFH Food Web

##### Max Black

- 2 years 8 months ago

#### Interactions between Danish sika deer, red deer and wolves

##### Mette Dam Madsen

Model simulating the interactions between sika deer, red deer and wolves in Jutland, Denmark.The model also includes hunting on the two deer species.The model kan simulate four conditions: No hunting and no predation, hunting without predation, predation without huning and both hunting and predation.

- 3 years 3 months ago