Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Birth trajectory under changing fertility conditions.

J C Frauenthal

    Demography
    |August 1, 1975
    PubMed
    Summary

    This study models population dynamics after a shift in women's reproductive behavior. It explains why populations continue growing even after reaching bare replacement level, using mathematical solutions for birth trajectories.

    Related Concept Videos

    You might also read

    Related Articles

    Articles linked to this work by shared authors, journal, and citation graph.

    Sort by
    Same author

    Limit cycle oscillations of the human population.

    Demography·1983
    Same author

    Demographic dating of the Nukuoro society.

    The American mathematical monthly : the official journal of the Mathematical Association of America·1977
    Same author

    A dynamic model for human population growth.

    Theoretical population biology·1975
    See all related articles

    Area of Science:

    • Demography
    • Population Dynamics
    • Mathematical Biology

    Background:

    • Stable populations are assumed to alter reproductive behavior.
    • Reproductive shifts can occur abruptly or gradually.
    • Understanding population response to reproductive changes is crucial.

    Purpose of the Study:

    • To derive mathematical solutions for population birth trajectories after reproductive behavior shifts.
    • To analyze the long-time asymptotic behavior of population size and birth rates.
    • To explain persistent population growth post-replacement level fertility.

    Main Methods:

    • Developed a closed-form mathematical solution for birth trajectories.
    • Derived exact expressions for asymptotic population behavior.
    • Utilized accurate approximations for analysis.

    Main Results:

    • An exact solution for birth trajectories is found up to 30 years post-adjustment.
    • Exact expressions for long-time asymptotic behavior at bare replacement level were determined.
    • Approximations illustrate continued growth despite reaching replacement fertility.

    Conclusions:

    • Mathematical modeling provides insights into population dynamics following reproductive shifts.
    • The study clarifies the phenomenon of continued population growth after achieving bare replacement fertility.
    • The findings have implications for population projections and policy-making.

    Related Experiment Videos