Computing Average Age of Mothers in Age-Structured Population

AI Thread Summary
To compute the average age of mothers in an age-structured population using a Leslie matrix, one must consider the stable exponential growth of the population, characterized by a constant age structure and a growth rate r. The discussion emphasizes the importance of defining a Leslie matrix for clarity, as many mathematicians may not be familiar with demographic concepts. The average age of mothers can be derived from the age distribution and the reproductive rates within the Leslie matrix framework. Providing a clear definition and context will facilitate better assistance from those with relevant expertise. Understanding these dynamics is crucial for accurate demographic modeling.
angy
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Hi, I have the following problem.

Consider an age-structured population growing according to a Leslie matrix. Suppose the population is in stable exponential growth, i.e. its age-structure is constant in time, while the total population is exponentially growing (or decreasing) with exponent r. Compute the average age of the mothers of all children born at time t.

Can anyone help me? Thank you!
 
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You're more likely to get a helpful answer if you reveal the definition of a "Leslie" matrix. Most mathematicians aren't also demographers and they aren't always in the mood to go Googling.
 

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