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Exponential Growth

Exponential Growth. Jackson Burke, Shravan Patel Jake Frash. Intro. Populations of all species have the potential to expand greatly when resources are abundant The amount of time it takes to reproduce varies from organism to organism. Per Capita Rate of Increase.

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Exponential Growth

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  1. Exponential Growth Jackson Burke, Shravan Patel Jake Frash

  2. Intro • Populations of all species have the potential to expand greatly when resources are abundant • The amount of time it takes to reproduce varies from organism to organism

  3. Per Capita Rate of Increase • Populations will increase or decrease in size with the birth or death of each individual or immigration and emigration • During a time interval, change in population size = (births + immigrants) – (deaths + emigrants) • ΔN/Δt = rN, where N represents population size and t represents time

  4. Exponential Growth • Population increase under ideal conditions is called exponential population growth • The maximum rate of increase may assume the maximum rate for the species, denoted by rmax • dN/dt = rmaxN

  5. Exponential Growth Graph • The size of a population that is growing exponentially increases at a constant rate, resulting eventually in a J-shaped growth curve when population growth is plotted over time • Curve gets steeper because there are more individuals to reproduce dN/dt = 1.0N

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