if k is the carring capacity of the habitat , N is the total number of individuals in a population with intrinsic rate of reproduction as r the growth rate of such a population will be directly proportional to
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The population size at which it levels off, which represents the maximum population size a particular environment can support, is called the carrying capacity, or K. Image credit: "Environmental limits to population growth: Figure 1," by OpenStax College, Biology, CC BY 4.0.
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