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Predator-Prey Interactions
• How do predator-prey interactions relate
to energy flow?
• How do they relate to nutrient cycling?
• How do predators affect prey population
levels?
• How do prey affect predator population
levels?
• What other factors determine predator and
prey population levels?
• How can predator-prey population
dynamics be modeled?
Coyotes & Rabbits Game Rules
• Take 20 rabbits (white beans) and 20 coyotes (dark
beans).
• Mix beans thoroughly and randomly place on the board.
1. Rabbits reproduce: When a rabbit lands on a white spot,
add a rabbit (birth).
2. Coyotes die: When a coyote lands on a black spot,
remove it (death).
3. Predation: If a coyote lands on a patch (4 spots outlined
in grey) with a rabbit, remove the rabbit (death) and add
a coyote (birth).
4. Count the surviving coyotes and rabbits.
5. For the next generation, remove all survivors, mix
thoroughly, then randomly spread on the board again.
6. Repeat (iterate) steps 1-6 numerous times to represent
new generations.
Creating mathematical models
• Play coyotes & rabbits to 6 generations.
• Record population levels, births, deaths,
and predation events.
• Create word equations to describe how to
predict the rabbit & coyote populations.
• Translate word equations into math
formulas.
• Using a spreadsheet and formulas, create
a mathematical model describing the
predator-prey interaction.
Limitations of the model
• Does the model accurately represent
observations of the game?
• What may be incorrect about our model?
• Does the model accurately represent
predator-prey interactions in nature?
• What should be modified or included in
our model to increase its accuracy?
• Why use models?
Coyotes & Rabbits-developing models

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Coyotes & Rabbits-developing models

  • 1.
  • 2. Predator-Prey Interactions • How do predator-prey interactions relate to energy flow? • How do they relate to nutrient cycling? • How do predators affect prey population levels? • How do prey affect predator population levels? • What other factors determine predator and prey population levels? • How can predator-prey population dynamics be modeled?
  • 3. Coyotes & Rabbits Game Rules • Take 20 rabbits (white beans) and 20 coyotes (dark beans). • Mix beans thoroughly and randomly place on the board. 1. Rabbits reproduce: When a rabbit lands on a white spot, add a rabbit (birth). 2. Coyotes die: When a coyote lands on a black spot, remove it (death). 3. Predation: If a coyote lands on a patch (4 spots outlined in grey) with a rabbit, remove the rabbit (death) and add a coyote (birth). 4. Count the surviving coyotes and rabbits. 5. For the next generation, remove all survivors, mix thoroughly, then randomly spread on the board again. 6. Repeat (iterate) steps 1-6 numerous times to represent new generations.
  • 4.
  • 5. Creating mathematical models • Play coyotes & rabbits to 6 generations. • Record population levels, births, deaths, and predation events. • Create word equations to describe how to predict the rabbit & coyote populations. • Translate word equations into math formulas. • Using a spreadsheet and formulas, create a mathematical model describing the predator-prey interaction.
  • 6. Limitations of the model • Does the model accurately represent observations of the game? • What may be incorrect about our model? • Does the model accurately represent predator-prey interactions in nature? • What should be modified or included in our model to increase its accuracy? • Why use models?