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Figure 3 | EPJ Data Science

Figure 3

From: Human mobility and innovation spreading in ancient times: a stochastic agent-based simulation approach

Figure 3

We consider the coupled process for 20 agents in a single well suitability landscape given by \(V(x,y)=10 (x^{2} +y^{2})\) with spreading rate \(\gamma = 10\). As an initial condition at \(t=0\) one randomly chosen agent is in state 1. For an ensemble of 2000 realizations, we plot the mean proportion of adopters of the innovation depending on time and compare the results for the synchronous updating scheme (for \(\Delta t = 0.0001\) and \(\Delta t = 0.002\)) as well as for the event-based simulation scheme (for \(\Delta t = 0.002\)). The synchronous updating simulation with larger time steps is deviating from the simulation with the small time step size, while the event based simulation is still accurate even for \(\Delta t = 0.002\)

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