On the importance of trip destination for modeling individual human mobility patterns

Maxime Lenormand1, Juan Murillo Arias2, Maxi San Miguel3 and José J. Ramasco3
1TETIS, Univ Montpellier, AgroParisTech, Cirad, CNRS, INRAE, Montpellier, France.
2BBVA Data & Analytics, Avenida de Burgos 16D, 28036 Madrid, Spain.
3Instituto de Física Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB), Palma de Mallorca, Spain.

(September 2020)

Obtaining insights into human mobility patterns and being able to reproducethem accurately is of the utmost importance in a wide range of applicationsfrom public health, to transport and urban planning. Still the relationship between the effort individuals will invest in a trip and the importance of its purpose is not taken into account in individual mobility models that can be found in the recent literature. Here, we address this issue by introducing a model hypothesizing a relation between the importance of a trip and the distance travelled. In most practical cases, quantifying such importance is undoable. We overcome this difficulty by focusing on shopping trips (for which we have empirical data) and by taking the price of items as a proxy. Our model is able to reproduce the long-tailed distribution in travel distances empirically observed and to explain the scaling relationship between distance travelled and item value found in the data.