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Exponential Growth

Exponential Growth. By Pearl, Kaitlyn , and Maddie. Per Capita Rate of Increase. A certain population will increase in size with every birth and with immigration of individuals from other populations. It will decrease in size with every death and with emigration.

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Exponential Growth

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  1. Exponential Growth By Pearl, Kaitlyn, and Maddie

  2. Per Capita Rate of Increase • A certain population will increase in size with every birth and with immigration of individuals from other populations. • It will decrease in size with every death and with emigration.

  3. Calculating Per Capita Rate of Increase • Per capita birth rate (b): ΔN/Δt=B-D • Per capita death rate (d): ΔN/Δt=bN-dN • Per capita rate of increase: r=b-d • Zero Population Growth: r=0

  4. Exponential Population Growth • Also known as geometric population growth • Ideal conditions: Per capita rate of increase may assume the maximum rate of the species (rmax) • ΔN/Δt= rmaxN • Results in a J-shaped curve • The higher the rmax, the faster the population grows.

  5. Positive EPG Negative EPG

  6. Example of Exponential Growth • The J-shaped curve results from introduction of a new population in a new area or a drastic decrease in population size. • African elephants were introduced in Kruger National Park, South Africa • The population later collapsed because the elephants caused damage and food supply was low.

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