• anonymous
6. Another model for population growth is the logistic model. This model assumes that there is a maximum population, also known as a carrying capacity, and that the rate of population growth slows as the population approaches the carrying capacity. The variables for a logistic model are deﬁned below. • t - time, the number of years since July 1, 1965 • P(t) - the population at time t in billions of people • P0 - the population at time t = 0 in billions of people • M - the maximum population or carrying capacity in billions of people • k - a constant The logistic model for population growth is given by: P(t) =MP0 / P0 + (M − P0)e^−kt The human carrying capacity of the earth is a very controversial subject. According to Joel E. Cohen, estimates for the human carrying capacity of the earth have ranged from less than 1 billion to more than 1 trillion people. Cohen states,”Such estimates deserve the same profound skepticism as population projections” [1]. With the understanding that estimates for human carrying capacity warrant skepticism, let us consider the implications of a carrying capacity of 12 billion people. (Cohen calculated the median of 65 upper bounds on human carrying capacity to be 12 billion people [1].) Assuming that the human carrying capacity of the earth is 12 billion people, ﬁnd a logistic model for the world population using the data that you found in question 2.
Mathematics
• Stacey Warren - Expert brainly.com
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