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Compactness Index

A compactness index measures how compact the shape of a settlement, district, or built-up area is, almost always by comparing it to the circle — the most compact shape enclosing a given area. Classic indices such as the Polsby–Popper or Richardson ratio compare a polygon's area to its perimeter, while more elaborate measures compare interpoint distances or fitted circles, all returning a value of one for a perfect circle and falling toward zero as the shape becomes elongated, indented, or fragmented. Angel, Parent and Civco systematized these into a coherent family by showing that the circle is optimal on ten distinct geometric properties, clarifying which index answers which question.

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Compactness Index (Geometric Shape Measures of Settlement Form)

Taxonomisk metodpost · process-pipeline / urban-studies

Angel, S., Parent, J., & Civco, D. L. (2010). Ten compactness properties of circles: Measuring shape in geography. The Canadian Geographer, 54(4), 441–461. · DOI 10.1111/j.1541-0064.2009.00304.x

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Same method familyStreet Network Analysismachine-suggested · Relational suggestion, not evidence.See alsoUrban Density Gradient Modelmachine-suggested · Relational suggestion, not evidence.Same method familyUrban Form Morphometricsmachine-suggested · Relational suggestion, not evidence.Same method familyUrban Sprawl Measurementmachine-suggested · Relational suggestion, not evidence.