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Figure 6 | EPJ Data Science

Figure 6

From: Understanding the variability of daily travel-time expenditures using GPS trajectory data

Figure 6

Validation of the time consumption model. (Left) Correlation between the time of a single trip duration \(\langle t\rangle\) and the ratio between the short travel-time expenditures and the average number of activities \(\alpha/\langle n\rangle\): each dot refers to a different city (\({r = 0.57}\)); the straight line has a slope \(x_{\max}=\langle t\rangle \langle n\rangle/\alpha=2.1\pm0.1\) (error is s.e.m.). (Left) Comparison between the hazard function (5) inferred from our empirical data and the hazard function computed using the decision model: the hazard function derived from the decision model (solid blue line), using realistic parameters values \(\langle t\rangle\simeq0.2\mbox{ h}\), \(\bar{\beta}=1\mbox{ h}\), \(\langle n\rangle=5\) and \(x_{\max}=2\) is compared with the empirical hazard function (5) (dashed red line) with \(\beta=1.08\times\bar{\beta}\) and \(\alpha\simeq0.5\mbox{ h}\).

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