# lecture32F06 - Population models and the human population...

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Population models and the human population By the end of this lecture you should be able to… Provide a functional definition of a population. Concepts and terms: spatially related, inter-fertile Contrast exponential and logistic models for population growth. Concepts and terms: intrinsic rate of increase, rate of change, carrying capacity Describe density-dependent and density-independent mechanisms regulating population growth. Discuss the size and growth rate of the human population. Describe the transitions in population growth for developed nations. Discuss the relationship between the size of the human population and global net primary production. Discuss “K” for humans Assigned reading: Chap. 52

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Exponential growth: dN/dt = (birth rate – death rate) N (birth rate – death rate) = r where r is the intrinsic rate of increase So,

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Logistic growth: dN/dt = r N [K-N/K] this last term represents the “unutilized capacity for growth” If we rewrite the equation… dN/dt = {r [K-N/K]} N everything in the brackets is now analogous to the “r” of the exponential growth model, but now r changes with population size and K instead of being constant.

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1. Decreased fecundity at high population density 2. Decreased vigor and survivorship at high population density: crowding…hormonal imbalance…change in fertility rates, etc. 3. Abiotic factors (temperature, etc) can
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## This note was uploaded on 04/07/2008 for the course IB 201 taught by Professor Hughes/berlocher during the Spring '07 term at University of Illinois at Urbana–Champaign.

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lecture32F06 - Population models and the human population...

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