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Equation 4 · Part 5 · Demography, Migration, and Urban Futures in Practice: An Advanced Technical Guide

=

Pa+1,s,t+1=Pa,s,t⋅Sa,s,t+Ma,s,tP_{a+1,s,t+1} = P_{a,s,t} \cdot S_{a,s,t} + M_{a,s,t}
=

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

Aging the cohort forward. For each one-year (or five-year) step, every age-sex cohort is advanced by applying an age-specific survival ratio — the probability of surviving from one age to the next, derived from a life table built out of registered deaths and mortality schedules — and then subtracting deaths and adding net migrants assigned to that same age and sex [ 1 ] . Symbolically, for a cohort of age a and sex s in year t : Pa+1,s,t+1=Pa,s,t⋅Sa,s,t+Ma,s,tP_{a+1,s,t+1} = P_{a,s,t} \cdot S_{a,s,t} + M_{a,s,t}. where P is the population count, S is the age-and-sex-specific survival ratio for that interval, and M is net migration assigned to that cohort during the interval. The youngest cohort in each step is not aged forward from an existing cohort; it…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.