Lect. 12 pop growth web

Lect. 12 pop growth web - If resources are unlimited,...

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If resources are unlimited, populations can grow exponentially… Population growth rates depend on population size. dN/dt = r max N dN/dt = change in population size over time r max = maximum per capita growth rate N = current population size As population size (N) increases, so does rate of population increase (dN/dt).
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Exponential Growth For an exponentially growing population, size at any time can be calculated as: N t = N o e r max t N t = Number individuals at time t. N 0 = Initial number of individuals. e = Base of natural logarithms. r max = Per capita rate of increase. t = Number of time intervals. Is this realistic? Could such an increase go on forever? Why not?
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As resources depleted, growth rate slows, eventually stops: logistic population growth . Sigmoid (S-shaped) population growth curve . Carrying capacity (K) = population size environment can sustain.
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Lect. 12 pop growth web - If resources are unlimited,...

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