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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Ingia kwa akaunti ya bure ili kusoma sehemu hii.
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Vyanzo
- 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 ↗
Jinsi ya kunukuu ukurasa huu
ScholarGate. (2026, June 22). Compactness Index (Geometric Shape Measures of Settlement Form). ScholarGate. https://scholargate.app/sw/urban-studies/compactness-index
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- Urban Sprawl MeasurementUrban Studies↔ linganisha
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