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What does this equation do?
predicts the size of an exponentially growing population at any time t
What is carrying capacity?
maximum population size that an environment can sustainably support under a given set of environmental conditions
what is r-max?
the per capita intrinsic rate of increase under ideal conditions
what is r-obs?
the per capita intrinsic rate of increase under actual conditions
why does population size fluctuate around an average value of K?
for K to be constant, birth rates and death rates must be constant over any given time
what does it mean when birth and death rate lines cross at k?
births = deaths, so r-obs = 0
what happens below k?
births > deaths so population is growing towards K
what happen above K?
deaths > births, so the population shrinks toward K
What do fluctuations in population growth rate indicate?
a greater risk of extinction
allee effects
another form of density dependence, occur when the growth rate of a population decreases as population density decreases