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mariomintchev
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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.
 2 years ago
 2 years ago
mariomintchev Group Title
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.
 2 years ago
 2 years ago

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mariomintchev Group TitleBest ResponseYou've already chosen the best response.2
Question 2) The world population on July 1, 1965 was 3.3 billion. On July 1, 1970 the population increased to 3.7 billion.
 2 years ago

mariomintchev Group TitleBest ResponseYou've already chosen the best response.2
The rate of change is 0.08 billion per year.
 2 years ago

mariomintchev Group TitleBest ResponseYou've already chosen the best response.2
Those are my answers to question 2 not the actual question. I gave them to you to help solve question 6 (this question).
 2 years ago

mariomintchev Group TitleBest ResponseYou've already chosen the best response.2
@amistre64 @AccessDenied @brainshot3 @Callisto @EarthCitizen @jhonyy9 @Luis_Rivera @MelindaR @Mertsj @robtobey @sasogeek
 2 years ago

brainshot3 Group TitleBest ResponseYou've already chosen the best response.0
Looks like a type of differential equation problems. dy/dy=ky where k is a constant.
 2 years ago
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