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Population redistribution and changes in the size-density slope.

G E Stephan, K H Stephan

    Demography
    |February 1, 1984
    PubMed
    Summary

    Population density influences territorial subdivision for time-efficiency. Fixed boundaries cause slope-erosion, with historical data supporting the hypothesis of increasing population concentration as the cause.

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    Area of Science:

    • Spatial analysis
    • Human geography
    • Sociology

    Background:

    • Regional population density increases often lead to territorial subdivision.
    • Optimal societal time-efficiency requires a specific slope (-2/3) between log unit areas and log unit densities.
    • Fixed boundaries are associated with observed slopes deviating from the optimal value, a phenomenon termed 'slope-erosion'.

    Purpose of the Study:

    • To investigate the phenomenon of 'slope-erosion' in territorial unit subdivision.
    • To test the hypothesis that increasing population concentration drives slope-erosion.
    • To analyze historical data on political divisions to validate the hypothesis.

    Main Methods:

    • Analysis of historical data from primary political divisions across ten nations.
    • Statistical examination of the relationship between territorial unit area and population density.
    • Comparison of observed slopes with theoretical optimal slopes for time-efficiency.

    Main Results:

    • Historical data generally supports the hypothesis that increasing population concentration causes slope-erosion.
    • Observed slopes in fixed territorial units tend to drift towards zero, deviating from the optimal -2/3.
    • The study provides empirical evidence for the link between population concentration and changes in territorial subdivision patterns.

    Conclusions:

    • Increasing population concentration is a significant factor contributing to slope-erosion in territorial units.
    • The findings have implications for understanding urban planning, resource allocation, and administrative boundary formation.
    • Further research could explore this phenomenon in diverse geographical and political contexts.

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