Thursday, January 3, 2019

The number of familiar locations an individual visits at any point is a conserved quantity with a typical size of ~25

I am marginally dubious but intrigued. From Evidence for a conserved quantity in human mobility by Laura Alessandretti, Piotr Sapiezynski, Vedran Sekara, Sune Lehmann, and Andrea Baronchelli. From the Abstract:
Recent seminal works on human mobility have shown that individuals constantly exploit a small set of repeatedly visited locations. A concurrent study has emphasized the explorative nature of human behaviour, showing that the number of visited places grows steadily over time. How to reconcile these seemingly contradicting facts remains an open question. Here, we analyse high-resolution multi-year traces of ~40,000 individuals from 4 datasets and show that this tension vanishes when the long-term evolution of mobility patterns is considered. We reveal that mobility patterns evolve significantly yet smoothly, and that the number of familiar locations an individual visits at any point is a conserved quantity with a typical size of ~25. We use this finding to improve state-of-the-art modelling of human mobility. Furthermore, shifting the attention from aggregated quantities to individual behaviour, we show that the size of an individual’s set of preferred locations correlates with their number of social interactions. This result suggests a connection between the conserved quantity we identify, which as we show cannot be understood purely on the basis of time constraints, and the ‘Dunbar number’ describing a cognitive upper limit to an individual’s number of social relations. We anticipate that our work will spark further research linking the study of human mobility and the cognitive and behavioural sciences.
I am always interested in revealed limits based on constraints such as with the Dunbar Number. So we maintain 150 social relationships and we visit 25 locations as part of our habitual life. Power Laws are everywhere.

Our experience of our lives is often that of great variety (and often uncertainty) and yet the documentation of our lives suggests a much more stable and constrained existence.

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