BISC 102 Chapter Notes - Chapter 52: Exponential Growth
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But any speci c time, a population has an instantaneous growth rate, or per capita rate of increase. The logistic growth equation if a population of size n is below the carrying capacity k, then the population should continue to grow a populations growth rate is proportional to (k- N)/k: when n is small, then (k-n)/k is closer to 1 and the growth rate should be high as n gets larger (k-n)/k gets smaller when n is at carrying capacity - meaning that. K-n then (k-n)/k is equal to 0 and growth stops. Graphing logistic growth: initially, growth is exponential - meaning that r is constant, with time, n increases to the point where competition for resources of other density- dependant factors begins to occur. As a result, the growth rate begins to decline: when the population is at the habitat"s carrying capacity, the growth rate is 0 - the graph of population size versus time is at.