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

Populations with constant immigration.

H Schmidbauer, A Rosch

    Mathematical Population Studies
    |January 1, 1995
    PubMed
    Summary
    This summary is machine-generated.

    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

    Interplay of Electronic and Spin Degrees in Ferromagnetic SrRuO_{3}: Anomalous Softening of the Magnon Gap and Stiffness.

    Physical review letters·2019
    Same author

    Variability of non-clinical behavioral CNS safety assessment: An intercompany comparison.

    Journal of pharmacological and toxicological methods·2019
    Same author

    Dynamical Defects in Rotating Magnetic Skyrmion Lattices.

    Physical review letters·2017
    Same author

    SU(4) Skyrmions in the ν=±1 Quantum Hall State of Graphene.

    Physical review letters·2016
    Same author

    Band Structure of Helimagnons in MnSi Resolved by Inelastic Neutron Scattering.

    Physical review letters·2015
    Same author

    Track k: medical information systems.

    Biomedizinische Technik. Biomedical engineering·2014
    Same journal

    Development of an Exact Theory of Decomposing Population Attributable Fractions and Application to Decomposition of Alzheimer's Disease Risk.

    Mathematical population studies·2026
    Same journal

    Editorial: Methods and Applications in Spatial Demography: 2.

    Mathematical population studies·2021
    Same journal

    Beyond Household Walls: The Spatial Structure of American Extended Kinship Networks.

    Mathematical population studies·2021
    Same journal

    Prevalence of Left-handedness in China 2011: Small-area Estimates.

    Mathematical population studies·2020
    Same journal

    Neighborhood affluence protects against antenatal smoking: evidence from a spatial multiple membership model.

    Mathematical population studies·2019
    Same journal

    A Discrete-Time Branching Process Model of Yeast Prion Curing Curves.

    Mathematical population studies·2018
    See all related articles

    This study models native populations with immigration using a Leslie-type matrix, transforming it into a Markov chain. This approach extends population dynamics theory to include immigration and defines genealogies for immigrant populations.

    Area of Science:

    • Demography
    • Mathematical Biology
    • Population Dynamics

    Background:

    • Traditional population models often assume closed systems, neglecting the impact of immigration.
    • Leslie-type models are standard for analyzing age-structured populations but require adaptation for immigration.
    • Understanding immigrant incorporation into population dynamics is crucial for accurate forecasting.

    Purpose of the Study:

    • To develop a homogeneous Leslie-type model for a one-sex population with constant immigration.
    • To integrate immigration into the framework of population projection and genealogical analysis.
    • To extend existing population dynamics theory to populations experiencing immigration.

    Main Methods:

    • Formulating a Leslie-type matrix model for a native population with constant immigration.
    Keywords:
    Demographic FactorsFamily And HouseholdFamily ResearchFertilityGenealogiesImmigrantsInternational MigrationLife CycleMarkov ChainMigrantsMigrationModels, TheoreticalMortalityNationalityNative-bornPopulationPopulation CharacteristicsPopulation DynamicsProbabilityResearch MethodologyStatistical StudiesStudiesWorld

    Related Experiment Videos

  • Transforming the homogeneous projection model into a Markov chain with transient and recurrent states.
  • Defining and analyzing genealogies within the Markov chain framework to incorporate immigration.

    • Main Results:

    • The immigration model can be represented in a homogeneous form using a Leslie-type matrix.
    • Reproductive values are determined by the left eigenvector of the Leslie-type matrix.
    • The Markov chain framework allows for the calculation of absorption times, linking them to genealogies of immigrant populations.

    Conclusions:

    • The developed model successfully extends population dynamics theory to include immigration.
    • Genealogies provide a comprehensive description of individual life histories in populations with immigration.
    • The study offers a robust mathematical framework for analyzing populations with both native and immigrant components.