Fig. 6: Travel time decay curve for commuting flows between SA2s. | npj Urban Sustainability

Fig. 6: Travel time decay curve for commuting flows between SA2s.

From: Towards a theory of sustainable city sizes

Fig. 6: Travel time decay curve for commuting flows between SA2s.The alternative text for this image may have been generated using AI.

This figure shows how the likelihood of commuting between areas declines with increasing travel time. Data on car-based commuting flows between Statistical Area Level 2 (SA2) regions were sourced from the Australian Bureau of Statistics and analysed using drive-time estimates between SA2 centroids. Commute durations were grouped into one-minute intervals up to 149 min. a shows the standardised probability distribution of trips in cities. b shows the inverse cumulative distribution of trips across the same groups. A negative exponential function was found to best represent the pattern of trip frequency decline, with a decay rate of 0.058. This function, commonly used in transport studies, reflects how people are less likely to commute as travel time increases.

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