Consider an age-structured population with a stable age distribution. On average
ID: 148531 • Letter: C
Question
Consider an age-structured population with a stable age distribution. On average, newborn females have three female offspring in the course of a lifetime, and the middle female offspring is born when the mother is 10 years old.
(a) write the equation for the actual instantaneous per capita ggrowth rate for this population. Except for the symbol representing this rate, the equation must have only numbers.
(b) Write the equation for solving how long will it take this population to double (you don't have to find how long it takes, just set up the equation.)
Consider an age-structured population with a stable age distribution. On average, newborn females e three female offspring in the course of a lifetime, and the middle female offspring is born when the er is 10 years old. (a) Write the equation for the actual instantaneous per capita growth rate for this population. Except for the symbol representing this rate, the equation must have only numbers (6 pts). (b) Write the equation for solving how long will it take this population to double (you don't have to find how long it takes, just set up the equation -4 pts).Explanation / Answer
In the above question, it clearly states the growth is stable population where as the rate of growth decreases and stabilizes ,the pre reproductive and reproductive age groups become more or less equal in size; the post reproductive groups remains as the smallest.The graphic representation of the stabilized population is bell shaped.
A population shows exponential growth if there is no limitation on growth. All members have abundant resource availability and the population displays its intrinsic rate of increase (the maximum number of offspring born per individual). This is also called as geometric growth.In geometric growth ,rate of increase is expressed as a constant fraction or component by which a particular population is multiplied. By contrast a pattern of growth that increases at a constant amount is represented by
dN/dt =rN
where N is the population size and r is the intrinsic rate of natural increase (or instantaneous per capita growth rate).It is defined as the rate of increase per individual under specified physical conditions,in an unlimited environment. In a closed population, r is defined as the instantaneous per capita birth rate(b) minus the instantaneous per capita per capita death rate(d).
dN/dt=(b-d)N
Incase of doubling of population,it is a measure of how rapidly a population grows.The doubling time for an exponential function t=ln2/r