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More on Population Growth. Some alternative models. Logistic Growth. We have been using the logistic growth model:. Logistic Growth. This model has some unique properties: As the population approaches K, population growth either levels out or osscilates about K.
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More on Population Growth Some alternative models
Logistic Growth • We have been using the logistic growth model:
Logistic Growth • This model has some unique properties: • As the population approaches K, population growth either levels out or osscilates about K. • The model also produces an unexpected result: chaos.
Logistic Growth • Clearly, the model is more dynamic than we thought. • What are the assumptions of the model, and is the model appropriate? • The population exists in a stable age distribution. (that is, all age classes are growing at the same rate). • All age classes have equal fecundity and survival.
Logistic Growth • Are these assumptions reasonable? • If they are not reasonable, we need an alternative model to understand population growth. • We need a model that takes into account the the realities of death and reproduction.
Age Structured Population Growth • The renewal equation: