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Population growth with variable family size.

R H Norden

    Mathematical Population Studies
    |January 1, 1992
    PubMed
    Summary

    This study enhances the Sharpe-Lotka population model to include mother-daughter fertility links. Findings reveal how intergenerational effects impact population growth rates and allow distinct fertility groups to coexist long-term.

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    On the distribution of completed parities when fertility is heritable.

    Mathematical population studiesยท1996
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    Area of Science:

    • Demography
    • Mathematical Biology
    • Population Dynamics

    Background:

    • Traditional population models often overlook familial fertility patterns.
    • Understanding intergenerational fertility effects is crucial for accurate population projections.

    Purpose of the Study:

    • To extend the Sharpe-Lotka model by incorporating mother-daughter fertility associations.
    • To analyze the impact of these associations on population growth dynamics.

    Main Methods:

    • Development of a continuous time deterministic population model.
    • Mathematical analysis to establish relationships between fertility effects and growth rates.
    • Numerical simulations using a bilinear fertility model.

    Main Results:

    Keywords:
    DaughtersDemographic FactorsEconomic FactorsFamily And HouseholdFamily CharacteristicsFamily RelationshipsFertilityIntergenerational TransfersLongterm EffectsMathematical ModelMicroeconomic FactorsModels, TheoreticalMothersParentsPopulationPopulation DynamicsPopulation GrowthResearch MethodologyTime FactorsWorld

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    • Established quantitative links between intergenerational fertility and population growth rate.
    • Obtained numerical results for finite-time population growth.
    • Demonstrated the long-term coexistence of distinct fertility-specific subpopulations.

    Conclusions:

    • Mother-daughter fertility associations significantly influence population growth.
    • The extended model accurately predicts long-term population structure.
    • The model supports the possibility of sustained diversity in fertility behaviors within a population.