# population growth models?

compare the geometric model of population growth with the logistic model.

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A geometric progression is a simplified way to show exponential population growth.

The growth of natural populations is more accurately depicted by the logistic growth equation rather than the exponential growth equation. In logistic population growth, the rapid increase in number peaks when the population reaches the carrying capacity. The equation for this type of growth contains the factor for carrying capacity (K). Carrying capacity (K) may be defined as the maximum number of a certain species population that can be supported by a given ecosystem. The annual growth of a population may be shown by the equation: I = rN (K-N / K), where I = the annual increase for the population, r = the annual growth rate, N = the population size, and K = the carrying capacity. Logistic population growth produces a characteristic S-shaped or sigmoid curve because the population increases rapidly until it reaches the carrying capacity where it begins to decelerate and stabilize.

Hope that helps with your ecology HW!

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• Logistic Model Of Population Growth

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• Population growth is the change in population over time, and can be quantified as the change in the number of individuals in a population per unit time. The term population growth can technically refer to any species, but almost always refers to humans, and it is often used informally for the more specific demographic term population growth rate (see below), and is often used to refer specifically to the growth of the population of the world.

A logistic function or logistic curve models the S-curve of growth of some set P. The initial stage of growth is approximately exponential; then, as saturation begins, the growth slows, and at maturity, growth stops.

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• I assume geometric models refer to the geometric progression model or exponential model, while logistic model is basically a logistic regression model. Well the geometric model assumes that the population will multiply in a multiplicative manner. The logistics model assumes a limitation of resources which will eventually limit the population growth.

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