9. Population Growth

# 9. Population Growth - Population Growth Population growth...

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Population Growth Population growth - Population: a group of individuals of the same species in the same place - Populations may display two types of growth: o Exponential: all or a fixed proportion of individuals can reproduce indefinitely o Logistic Exponential growth - Consider a case where we start with a single cell, and all cells can reproduce - Exponential growth leads to rapid population changes Exponential growth curve N time - Clearly not linear - an exponential growth rate Exponential growth formula

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- Growth Rate = change in size divided by change in time (dN/dT) - Growth rate is slope of curve o dN/dT = rN o N = population size o r = the growth constant OR the increase in size per generation o r is calculated as the difference in the birth rate and the death rate Exponential growth: by the numbers - Considering what is happening numerically Time 0 1 2 3 4 5 N 1 2 4 8 16 32 dN/dt 1 2 4 8 16 - dN/dt increases with increasing N - dN/dt is proportional to N (dN/dt = rN) Implications - Even with lower r, dN/dt can be actually larger because of the higher N o ex: r = 0.4, N = 1000 vs. r= 0.3, N = 1500
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9. Population Growth - Population Growth Population growth...

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