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    This study introduces the semi-stable population concept, defining it as a population with a constant age distribution. It develops a coefficient of inertia to measure population resistance to demographic changes.

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    Area of Science:

    • Demography
    • Mathematical Biology
    • Population Dynamics

    Background:

    • Recalls Lotka's Malthusian population definition.
    • Introduces the concept of a stable population in demography.
    • Defines stable population as a limit of demographic processes with constant rates.

    Purpose of the Study:

    • Define a new concept: the semi-stable population.
    • Show that a semi-stable population equals the stable population at any given time.
    • Introduce a coefficient of inertia to measure population resistance to demographic changes.

    Main Methods:

    • Defines semi-stable population based on constant age distribution.
    • Establishes formulae for calculating the coefficient of inertia.
    • Derives a simplified formula for semi-stable populations.

    Main Results:

    • A semi-stable population aligns with the stable population of its current fertility and mortality rates.
    • The coefficient of inertia formula is simplified for semi-stable populations.
    • The simplified formula involves life expectancy, birth rate, and growth rate.

    Conclusions:

    • The semi-stable population concept provides a new perspective on population dynamics.
    • The coefficient of inertia offers a quantifiable measure of population stability.
    • The derived formulae facilitate the analysis of population inertia.