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Modeling Population Growth Patterns |
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| Geometric growth
deer whales birds >
in env. where carrying capacity has not been
exceeded (growth rate) RG = N(t+1) N(t) Nt = N(0) x RG t - what types of env. will induce a geometric growth? |
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| Exponential growth
bacteria, weeds, yeast, fish >
in env. where carrying capacity has not
been exceeded - exponential growth is usually followed by population collapse as resources run out , diseases, parasites and predator populations catch up Nt = No -e(K x t) where > e is the natural logarithm > K = growth constant |
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Logistic growth
most organisms > whether an ecoinvader,
or removal of a predator, or man's overcoming of the obstacles to
survivorship the carrying capacity of an environment is real and will
limit
population growth. Humans are still in the log phase - modern methods of determining wildlife harvests of fish, and game is to harvest half the carrying capacity so the population is always in the log phase of growth - Capitalist systems however overvalue the rare commodity LAG phase LOG phase STATIONARY phase CRASH phase |
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