lotka-volterra modifications for endangered species
DESCRIPTION
Lotka-Volterra Modifications for Endangered Species. Stephanie Constantino Scott McCalla Kalab Yohannes. Topic Overview. The kiwi bird is an endangered species indigenous to New Zealand We used a modified Lotka-Voltera model to show the decrease in population of the kiwi bird - PowerPoint PPT PresentationTRANSCRIPT
Lotka-Volterra Modifications for
Endangered Species
Stephanie ConstantinoScott McCalla
Kalab Yohannes
Topic Overview
The kiwi bird is an endangered species indigenous to New Zealand
We used a modified Lotka-Voltera model to show the decrease in population of the kiwi bird
Using differential equations, the graphs show that the kiwi is going extinct in the wild
There are a few ways in which humans are attempting to help the kiwi bird
The KiwiSize of a
chicken
Lays about 2 eggs, 2 to 3 times a year
Can live for up to 40 years in wild
The ProblemEuropeans
introduced dogs and other predators into New Zealand
Only about 5% of kiwi chicks survive to be one year old
Kiwis are going extinct
Saving the KiwiRemove dogs from New Zealand
Remove them from designated area where kiwis are
Move equilibrium point to positive quadrant
)( ,
• Need to make K coordinate positive• Occurs when
α >
• Increase the reproductive rate of the kiwi, α, which is currently 4,
> 0, aka when
• Lower threshold number of dogs, M, currently 500,000,
• Lower the loss to the kiwi population per encounter with a dog, γ, currently 24,
Conclusion Our model agrees with the situation that kiwis will be extinct
unless humans make more of an effort to conserve them, and validates the existence of Kiwi Preserves in New Zealand.