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09-Population Growth

# 09-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 typically display two types of growth: Exponential Logistic Exponential growth : all or a fixed proportion of individuals can reproduce indefinitely proportion of population can reproduce Exponential growth Consider a case where we start with a single cell, and all cells can reproduce Exponential growth curve Clearly not linear, an exponential function N = population size N time Exponential growth formula Growth Rate = change in size divided by change in time (dN/dT) Growth rate is slope of curve dN/dT = rN N = population size r = the growth constant, or … r = the increase in size per generation r is calculated as the difference in the birth rate and the death rate rN = how much population grew

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Exponential growth: by the numbers Consider what is happening numerically t 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 growth rate speeds up as population size gets larger
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09-Population Growth - Population Growth Population growth...

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