Population density over time:
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Because of developments over time, human population has radically increased as time goes on and lifespans lengthen.
Carrying capacity of ecosystems:
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Historically, whenever any population goes over carrying capacity, that population will follow its increase with a dramatic decrease. Like a cycle, the carrying capacity of ecosystems determines its population and circulates its stages over time.
Overshoot:
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If population density rises so suddenly that it overshoots the carrying capacity of the resources on which it depends, an overshoot can occur and carrying capacity can be degraded to a lower level.