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Related Concept Videos

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...
Conservation of Declining Populations02:07

Conservation of Declining Populations

Conservation of declining population focuses on ways of detecting, diagnosing, and halting a population decline. The approach uses methods to prevent populations from going extinct.
Distributions to Estimate Population Parameter01:26

Distributions to Estimate Population Parameter

The accurate values of population parameters such as population proportion, population mean, and population standard deviation (or variance) are usually unknown. These are fixed values that can only be estimated from the data collected from the samples. The estimates of each of these parameters are sample proportion, the sample mean, and sample standard deviation (or variance). To obtain the values of these sample statistics, data are required that have particular distribution and central...
Estimating Population Standard Deviation01:26

Estimating Population Standard Deviation

When the population standard deviation is unknown and the sample size is large, the sample standard deviation s is commonly used as a point estimate of σ. However, it can sometimes under or overestimate the population standard deviation. To overcome this drawback, confidence intervals are determined to estimate population parameters and eliminate any calculation bias accurately. However, this only applies to random samples from normally distributed populations. Knowing the sample mean and...
Estimating Population Mean with Unknown Standard Deviation01:22

Estimating Population Mean with Unknown Standard Deviation

In practice, we rarely know the population standard deviation. In the past, when the sample size was large, this did not present a problem to statisticians. They used the sample standard deviation s as an estimate for σ and proceeded as before to calculate a confidence interval with close enough results. However, statisticians ran into problems when the sample size was small. A small sample size caused inaccuracies in the confidence interval.
William S. Gosset (1876–1937) of the Guinness...
Exponential Equations for Modeling Growth01:26

Exponential Equations for Modeling Growth

Exponential models are essential for describing rapid, multiplicative changes in natural systems, such as population growth. When a population doubles at regular intervals, the process can be modeled using a suitable base. For instance, a bacterial culture that doubles every three hours follows the model n(t)=n0⋅2t/3, where n(t) is the population at the time t.A more general model uses the natural base e, especially for continuous growth. This takes the form n(t)=n0⋅ert, where r is the relative...

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

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

Population forecasts for South Pacific nations using autoregressive models, 1985-2000.

D A Ahlburg

    Journal of the Australian Population Association
    |November 1, 1987
    PubMed
    Summary

    This study forecasts population changes in Fiji, Western Samoa, Tonga, Solomon Islands, and Vanuatu using an autoregressive model. Results predict declining growth in Fiji and Tonga, slight increases in Western Samoa, and significant rises in Vanuatu and the Solomon Islands.

    Keywords:
    Comparative StudiesData AnalysisDemographic FactorsDeveloping CountriesDevelopment PlanningEstimation TechnicsEvaluationFijiMelanesiaMicronesia-polynesiaModels, TheoreticalOceaniaPolynesiaPopulationPopulation DynamicsPopulation ForecastPopulation GrowthPopulation ProjectionResearch MethodologySamoaSolomon IslandsStatistical RegressionStatistical StudiesTongaVanuatu

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    Area of Science:

    • Demography
    • Statistical Modeling
    • Population Studies

    Background:

    • Accurate population forecasts are crucial for effective government development planning in Pacific Island nations.
    • Understanding regional demographic trends is essential for resource allocation and policy formulation.

    Purpose of the Study:

    • To forecast population changes in Fiji, Western Samoa, Tonga, Solomon Islands, and Vanuatu.
    • To compare autoregressive model forecasts with other forecasting methods.
    • To discuss the implications of population forecasts for development plans.

    Main Methods:

    • Utilized an autoregressive statistical model for population forecasting.
    • Applied the model to demographic data from Fiji, Western Samoa, Tonga, Solomon Islands, and Vanuatu.
    • Compared the model's predictions against forecasts from alternative methodologies.

    Main Results:

    • Predicted declining population growth rates for Fiji and Tonga.
    • Forecasted a slight increase in population growth for Western Samoa.
    • Projected considerable population growth increases for Vanuatu and the Solomon Islands.

    Conclusions:

    • The autoregressive model provides valuable insights into future population dynamics for these Pacific Island nations.
    • Forecasted demographic shifts have significant implications for ongoing and future government development strategies.
    • Regional disparities in population growth necessitate tailored policy responses.