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Related Concept Videos

Migration00:53

Migration

Migration is long-range, seasonal movement from one region or habitat to another. This common strategy, carried out by many different organisms around the world, is an adaptive response that typically corresponds to changes in an organism’s environment, like resource availability or climate. Migrations can involve huge groups of thousands of animals as well as single individuals traveling alone and can range from thousands of kilometers to just a few hundred meters.
Population Growth00:57

Population Growth

Population size is dynamic, increasing with birth rates and immigration, and decreasing with death rates and emigration. In ideal conditions with unlimited resources, populations can increase exponentially, which plots as a J-shaped growth rate curve of population size against time. This type of curve is characteristic of newly-introduced invasive species, or populations that have suffered catastrophic declines and are rebounding.However, realistic environmental conditions limit the number of...
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Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
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Modeling with Differential Equations01:25

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Updated: Jun 30, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

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Published on: July 4, 2007

Population forecasting with endogenous migration: an application to trans-Tasman migration.

S Gorbey, D James, J Poot

    International Regional Science Review
    |September 26, 2002
    PubMed
    Summary

    Forecasting trans-Tasman migration using a vector autoregression (VAR) model offers valuable insights into New Zealand

    Keywords:
    AustraliaDemographic FactorsDeveloped CountriesEstimation TechnicsInternational MigrationMigrationMigration PolicyNew ZealandOceaniaPolicyPopulationPopulation DynamicsPopulation ForecastPopulation PolicyResearch MethodologySocial Policy

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    Area of Science:

    • Demography
    • Economics
    • Statistical Modeling

    Background:

    • Trans-Tasman migration (Australia-New Zealand) is largely visa-free, mirroring internal migration patterns.
    • Net migration significantly influences New Zealand's population dynamics.

    Purpose of the Study:

    • To forecast trans-Tasman migration flows.
    • To integrate migration forecasting into population growth predictions.
    • To assess the utility of vector autoregression (VAR) models for migration forecasting.

    Main Methods:

    • Utilized a Bayesian or unrestricted vector autoregression (VAR) model.
    • Incorporated foreign and domestic economic variables into the model.
    • Analyzed time series data of net migration.

    Main Results:

    • The VAR model provides a useful input for short-run population growth forecasting.
    • The approach is effective when time series of net migration are available.
    • Model applicability extends to interregional and unrestricted international migration between integrated economies.

    Conclusions:

    • Vector autoregression (VAR) models are effective for forecasting migration in economically integrated nations.
    • This method aids in predicting population changes driven by migration.
    • The findings are relevant for both internal and unrestricted international migration.