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Population Growth. Logistic and Exponential Growth Problems. 2 Types:. Exponential Growth Population increases rapidly (resources unlimited) r > 0 Is the sky the limit? Logistic Growth Happens after exponential growth Population will reach a carry capacity (K) or crash.

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## Population Growth

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**Population Growth**Logistic and Exponential Growth Problems**2 Types:**• Exponential Growth • Population increases rapidly (resources unlimited) • r > 0 • Is the sky the limit? • Logistic Growth • Happens after exponential growth • Population will reach a carry capacity (K) or crash**Exponential Growth**• N = population size (changes through time) • r = growth rate (factor by which population increases) • r = _________ • Formula: dN/dt = rN**Exponential Growth**• What if you wanted to figure out the population of the rabbits after 30 years? • Darwin said exponential growth can’t last forever . . . leads to . . .**Logistic Growth**• K = carrying capacity (max amount in a population that the ecosystem can support) • Why? Limited resources/limiting factors slow population growth • dN/dt = change in the population size over time • FORMULA: dN/dt = rN(K-N/K)**Examples:**• Take a quick look at how a rabbit population would grow exponentially…**Exponential GrowthHow many years does it take to reach K?**Recall: dN/dt = rN(K-N/K)

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