Distributed Trajectories under Mobile Phone Network: Empirical Estimation on Origin-Destination Matrix and Time-inhomogeneous Simulation

Abstract: A trajectory is the movement of an object in space as time goes by,aka ‘spatiotemporal’. Aside from all the properties an ordinary trajectorypossesses, the primary characteristic of a distributed trajectoryis the uncertainty of its positioning. Each movement will generate a(probability) distribution so that the location for each record is notdeterministic. This thesis will present the dynamics of distributedtrajectories under Mobile Phone Network (MPN) of certain areas inSweden, by demonstrating a series of visualisations and how they areapplied in the real world with estimation and simulation of certainspatiotemporal Markov models. Our main objective is to develop andtest estimation and simulation algorithms that can scale to arbitrarilylarge MPN datasets.