Distance from home matters: Investigation of a basic movement strategy

Mohsen Ghasemi Nezhadhaghighi; Yahya Khalili; Behafarid Hemmatpour; Abolfazl Ramezanpour

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arXiv · 2606.22025

Distance from home matters: Investigation of a basic movement strategy

Mohsen Ghasemi Nezhadhaghighi·Yahya Khalili·Behafarid Hemmatpour·Abolfazl Ramezanpour

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Abstract

Discovering the fundamental dynamical rules that generate the main statistical features of human mobility is essential for understanding the mechanisms underlying such processes. A prominent example is the exploration and preferential return model and its generalizations, which successfully reproduce several empirical findings. Here, we exploit another observation: the endpoint distances of a trip from the trajectory's starting point are strongly correlated. We consider a movement process in which each user performs a sequence of trips to satisfy a set of demands, given a spatial distribution of suppliers on a two-dimensional lattice. In each trip, destinations are chosen with a probability that depends on the ratio of the initial and final distances from the user's origin (home). We show that even a single agent with uniformly distributed demands and suppliers qualitatively reproduces key empirical statistics, such as the power-law distribution of traveled distances. The results are also robust to introducing interactions between agents via queues and incorporating more realistic demand and supplier distributions.

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Mohsen Ghasemi Nezhadhaghighi, Yahya Khalili, Behafarid Hemmatpour, Abolfazl Ramezanpour. 2026-06-20. Distance from home matters: Investigation of a basic movement strategy. https://arxiv.org/abs/2606.22025

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